{"text":"Question: What is the highest common divisor of 207 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15531, -30959, -46387, -61815, -77243, -92671?\n\"Answer: -15428*b - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4483?\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -173*t - 167*t + 702*t - 181*t - 179*t. Let x(u) = 1545*u. What is y(x(h))?\nAnswer: 3090*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -461 - -470. Sort -23, z, 0 in descending order.\nAnswer: z, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 - 5*c**2 + 2*c. Suppose -12 = -5*k + 18. Is 22 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18\/4)\/(90\/120). Suppose -19 = -5*c + r. Solve 23 = c*o - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 49 - 13. What is the highest common divisor of c and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5*w + 148. Let y = -5737 + 5707. Give o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 u, and 1 j when four letters picked without replacement from {u: 4, j: 2, l: 10, p: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 less than 95383.34?\nAnswer: 95383.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1306119837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - 1. Does -4 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 466, 35, -22, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 854013 to the power of 1\/2, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 682198 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5456*a + 338275. What is n(62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(60\/8)*(-3)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1694354 and 141873?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2135073 micrometers in nanometers?\nAnswer: 213.5073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 58*g**2 - 37*g - 113. Let b(q) = 39*q**2 - 26*q - 77. Determine 7*b(j) - 5*x(j).\nAnswer: -17*j**2 + 3*j + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 15. Suppose -4*m + 20 = 0, v + 4*v - 3*m = -h. Suppose 0 = v*y + 64 - 264. Calculate the greatest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + 10*m**2 - 7*m + 9. Let y be 204\/(-20) + (-1)\/(-5). Is x(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5 plus -5441.86?\nAnswer: -5439.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -220 - 236. Suppose 7*k - 391 = -o. Suppose -4*x + 7*x - 36 = 0. What is the remainder when k is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6004, 13896, 21788?\n\"Answer: 7892*j - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 15*q**2 - 7*q - 28. Let p(y) = -8*y**2 + 4*y + 15. Let b(i) = -11*p(i) - 6*w(i). Determine b(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/(-4)*(-66)\/15. Let l be g\/(-55) + (-472)\/(-10). Let z = 3210 - l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -94 + 94. Let i(x) = -x**3 + 9 + 16 + 0*x - 2*x. Is i(h) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/3630093 and 71\/51?\nAnswer: 61711581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.83 - -2.33. Let g = 44\/9 + -326\/63. What is the biggest value in g, z, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2.3, 92867, 1\/2, -1\/4, 1?\nAnswer: 92867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -3\/5  (c) -0.03  (d) 0.3  (e) 3\/5  (f) 16  (g) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -4. Let k(f) = -3*f - 7. Let p be k(-3). Solve -g + p = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - -30 - (-28)\/(-7). Solve 2*s = -5*a + g, -26 = -3*a - 5*s - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2426\/(-8) + (125 - 120). Let r = a + 1035\/4. Calculate the common denominator of r and -1 + 0 - (-121)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 587165579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125*i + 219*i - 6 + 235*i - 521*i.\nAnswer: 58*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + d**2 + d - 1. Let j(b) = -3*b**3 + 2*b**2 - 2. What is 2*i(v) - j(v)?\nAnswer: v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 6*n**2 + 6*n + 5. Let w(c) = -2*c**2 + 5*c - 2. Let o be w(3). Let f be r(o). Do 0 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -19296.\nAnswer: 19296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -534*h**3 - 4*h**2 - 261*h + 16. Let b(k) = 1601*k**3 + 13*k**2 + 784*k - 52. Let f(m) = 4*b(m) + 13*c(m). Find the second derivative of f(t) wrt t.\nAnswer: -3228*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-3*sqrt(20))\/sqrt(4)*5)**2.\nAnswer: -150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3323 is divided by 415.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + 0.21. What is the second biggest value in d, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**5*o*o*o**(-2\/5)*o**(-2\/3)*o*o\/(o\/(o\/(o**1\/o*o)))*(o**(4\/9)*o\/(o**(-6)*o)*o)**(-19) assuming o is positive.\nAnswer: o**(-6053\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1\/8  (b) 0.5  (c) 4  (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (18\/12)\/(-1)*(-13 + 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/14317?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -12*0.311\nAnswer: -3.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-5*(sqrt(70)*1 + sqrt(70)))\/(sqrt(810)*-3 - (1*sqrt(100))\/sqrt(10)))**2.\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 75*w**2 - 2*w + 2. What is the units digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/6)\/(29\/252 + (-2)\/14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105252 and 3675?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 364 = -4*c, -273 = 3*c - x + 3*x. Let n(r) = r**2 + 4*r - 3. Let q be n(-4). Is c\/q - (-2)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, m: 1, g: 1, q: 2}. Give prob of picking 1 q, 1 s, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 112*w - 224*w + 111*w as y*w + q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 1 + 0 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + f**2 + 5*f. What is r(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c*c*c**13*c*c)\/c**16)\/(c*c**(-9\/7)*c\/c**(-2\/25)) assuming c is positive.\nAnswer: c**(386\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*d - 26*d - 15. Solve d*y - 5 = -17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - 17.2. Sort -4, -0.09, m, -3 in increasing order.\nAnswer: -4, -3, m, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 280 - 284. Put -2\/27, 10, p in descending order.\nAnswer: 10, -2\/27, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4*r = 1900. Suppose 0*m - r = -4*m. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 3 - -4 - (2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -54310.07 and 47?\nAnswer: -2552573.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.507128 nanoseconds in milliseconds?\nAnswer: 0.000006507128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eyvgz. What is prob of sequence vyz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((45\/(-6))\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 0.4. Let x = -15 - -15.4. What is the biggest value in c, -2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -45*g**4 + 18*g**3 + 60*g**2 - 18*g - 15. Let z(y) = 18*y**4 - 7*y**3 - 24*y**2 + 7*y + 6. Let r(m) = 5*h(m) + 12*z(m). Suppose r(l) = 0. What is l?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 413264.4 centuries?\nAnswer: 41326440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 3 - 5)*(4*w - 3*w + w) + w + 0*w - 3*w)*(4 + 0 - 2)*(0 - 6*w + 0).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1308 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -b**2\/6 + 20573632*b\/3 - 211637166835712\/3 = 0.\nAnswer: 20573632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 772735805.\nAnswer: 5, 211, 509, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23795 is divided by 52.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -25  (b) -1\/2  (c) -2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 159 + -125. Let x(w) = -10*w**3 + 2*w + 1. Let d be x(-1). Solve -5*j - f + d = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -72*d**2. Let r(x) be the third derivative of -5*x**4\/24 - 458*x**2. Calculate r(n(s)).\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 857, 1253, 1639, 2009, 2357?\nAnswer: 2677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -5*u + h, -187 = -2*u + 2*h - 203 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**8\/84 - y**4\/4 + 8*y**2. Find the second derivative of k(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 10 = 3*r. Let j be 0 + (1 - (r - -1)). Let t be 1\/(j - 9\/(-4)). Solve -m = -2*x + t*x - 1, -x - 17 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(190)\/(sqrt(50)\/sqrt(5)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q**2 + 9 + 150*q - 81*q - 76*q + (0*q + q + q)*(q + 2 - 2) in the form v*q**2 + y + r*q and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-288)\/(-104))\/(4\/26) and 1616.\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 0*h**2 - 19 - 2*h**2 + 25 + 3*h**2 - 2*h. Let x(b) = b**2 - b + 5. Let y be -2*(-1)\/(2\/(-3)). Give y*g(v) + 4*x(v).\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*((g*g**15*g)\/g)\/g)\/g*g*g\/((g**(-7)*g)\/g*g)*(g*g**(-2)\/g*g*g)\/g*g**(2\/11) assuming g is positive.\nAnswer: g**(244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/6 + ((-46)\/8 - (-375)\/75).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (26\/39)\/((-2)\/18). Is -147\/31 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*x - 9*x - 12 - 11 + 12 + 8 - 79*x.\nAnswer: -173*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**5 + 23*n**4 - 208*n**3 + 928*n**2 - 2048*n + 1792 = 0. What is n?\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert a35366 (base 12) to base 16.\nAnswer: 270ebe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/9)*z*z*z\/z**(-6\/5)*z*z)\/(z**(3\/5)\/(z\/(z**(-13)\/z))) assuming z is positive.\nAnswer: z**(922\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-8))\/(120\/(-1728)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26.6 + -27. Sort -2\/7, t, -4.\nAnswer: -4, t, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -5806*t + 348362. Calculate g(60).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/433 or 0?\nAnswer: 1\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.18 or 40305\/29?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 55781, -1\/4, 1\/8 in decreasing order.\nAnswer: 55781, 1\/8, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 + 0)*(-t + 2*t - 3*t)*((-5 + 0 + 3)*(0 + 2 - 1) - 16 - 20 - 18) to the form m*t + y and give m.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 20*q**2 + 8*q + 14. Let t(u) = 11851*u - 6*u**2 - 5 - u**2 - 11854*u. Give -11*t(i) - 4*w(i).\nAnswer: -3*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 38596 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.02 + 0.01. Let s = q - -0.0099972. What is s rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111202011 (base 3) to base 13\nAnswer: -473b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 44338.2 * 19\nAnswer: 842425.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67583.46ng to tonnes.\nAnswer: 0.00000000006758346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oovovooovv. What is prob of picking 3 v and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine sixths of a minute in seconds?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*k + 18 - 18)*(-60*k**3 - 56*k**3 + 4*k + 106*k**3 + 6*k**3 - 4*k**3 - k**3 + (3 - 4 + 2)*(-4*k**3 + 0*k**3 + 5*k**3)).\nAnswer: 80*k**4 - 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 54 = -378. Let m be (-1)\/(0 - 3\/a). Is 741\/4 + 6\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 922289261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0031535417 to five dps.\nAnswer: -0.00315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-152)\/(-57)*(20 + (-649978)\/32504).\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -4*b + b**2 - 20 + 26 + 13*b. What is the units digit of h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -149.873 rounded to the nearest integer?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1023 (base 6) to base 12.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k**3. Let d(r) = r**2 - r + r**3 - r**2. Suppose -8 + 3 = -5*w. Let c(x) = w*p(x) - 2*d(x). What is the second derivative of c(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*((-3)\/18)\/(3\/(-6)*3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 146522.37 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 8:41 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4038366183 to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/14385708 and -95\/312.\nAnswer: 374028408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 38*x**3 + 2*x**2 - 6*x + 4. Let p be m(1). Calculate the highest common factor of 494 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 19*n**2 - 18*n + 6. Let h be a(12). Let l = h + -4811\/6. Find the common denominator of l and (-3)\/(-5)*(-81)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 31*l = -9*l - 592 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 - 4*n**2 - 5*n + 2. Let b be t(5). What is the second derivative of 2*o - 3*o**4 + o**2 - o**b wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001504707746 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1008\/448 + (-62)\/24. What is the nearest to -84 in v, -1, 3\/5, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 162 and 648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*a + 70 - 4*a - 70 to k + n*a and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28.6351 at least as big as 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - ((-1 - 4) + 2)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*i - 5. Suppose 0 = -2*j - 4*x + 10, -1 + 14 = i*j - 2*x. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -119 + 989. Suppose -h = 5*h - f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 36\/3 - 4) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 102 = 5*y, y - 2*j - 3 = 15. Suppose y = 4*z + 6. Suppose 2*h - 2*l + 7*l = -13, z*h = -l + 1. Calculate the smallest common multiple of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -5*f. Let m(b) = -5*b + 6. Give g(m(v)).\nAnswer: 25*v - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r - 9. Let l = -1 + 7. Let k be d(l). What is the derivative of -5*x**3 + 4 + 4*x**k - 5 wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 888 is divided by 124.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/120)\/(5\/(-25)*(-110)\/(-2211)).\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 117 = -527. Let c be (6\/4 - 2)*-46. What is the highest common divisor of p and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 437 and 45685538.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 451026 at least as big as 451033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -9*m**2 - 9*m - 3. Let v(a) = 14*a**2 + 13*a + 4. Let d(z) = 7*f(z) + 5*v(z). Let t be d(1). Solve 0 = t*u - 3*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*i - 557 = -5*i, 3*i = 9. What is the remainder when m is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 - ((-13 - -171) + -91).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 11, e: 1, j: 6, h: 1}. What is prob of sequence ettj?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -44298 greater than -44297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -47 - (-16 + -8) - -21. Put 1, a, -12, -11, 3 in decreasing order.\nAnswer: 3, 1, a, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*a**2\/5 + 118*a\/5 - 60 = 0. Calculate a.\nAnswer: 3, 50\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062658638 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 6 = 6. Let x = 3017 - 3015. Let j(g) = x + 7*g + 4 - q. Let w(z) = 2*z**2. Calculate j(w(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 9976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhpphhhphhphphhh.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 282870196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1341125?\nAnswer: 5, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 6578.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6920 - -9.85.\nAnswer: -6910.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 8. Let t be 9 - 4 - (-54)\/6. Suppose -56 = -6*l - t. Calculate d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -33515456\nAnswer: -33515456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.237765 to two dps.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 16*n + 19 - 69\/2*n**2. Find the first derivative of x(c) wrt c.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209106 is divided by 209091.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/277520 and -16\/45?\nAnswer: 2497680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -53*d**2. Let h(q) = 459800*q. Calculate w(h(v)).\nAnswer: -11205050120000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*g - 35*g**2 - 10*g**2 + 15*g + 10*g + 10*g.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**7*b))\/(b*((b\/b**(2\/7)*b)\/b)\/b))\/(b**(-1\/2)*b**(-7)) assuming b is positive.\nAnswer: b**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4942, 19782, 44544, 79252, 123930, 178602, 243292?\nAnswer: 318024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2085 = 230*k - 225*k, -l - k = -403. What is the lowest common multiple of l and 90?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x*x**(-8))\/x)\/x*x*x\/(x\/x**(-4)*x))\/(x**(-5)\/(x*x**(1\/5))))\/(((x\/(x*(x**1*x)\/x*x))\/x)**(3\/31)*(x*x**(2\/7))**(-45)) assuming x is positive.\nAnswer: x**(55712\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2164787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1088439077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7803 and 27830700.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -21*l, -27*v - 5*l = -16*v - 13*v + 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14\/83 - 1663\/1494. Calculate the common denominator of m and 61\/136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -2*n**5 - 3364*n**4 + 54168*n**3 - 284912*n**2 + 597440*n - 434688 = 0?\nAnswer: -1698, 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 7 - 2. Suppose -q + 2 = 0, -4*i + k*q + 16 + 6 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-14) + (-74)\/(-14). Suppose 0 = f*n + 3*u - 52, -u = -2*n + u + 8. Let p be n\/(-6)*6*6\/(-4). Solve -2*t + 16 = -2*y - y, -4*y + p = 4*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*u**3 + 0*u - 5*u**3 - 2*u - 14*u**3 - u**2 - 18*u to o*u + f*u**3 + v*u**2 + k and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 21*r**2 + r + 5. Let n be (-6)\/30 + -1 + (-42)\/15. Is k(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1397.82 + 2698000.\nAnswer: 2696602.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17387 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.7 - 880058.\nAnswer: -880061.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/5585 + 7797\/122870. Let x = -4\/5 - r. Find the common denominator of x and -121\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 0.1  (b) -1  (c) -0.2  (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1868658 is divided by 622832.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -700, -2745, -6148, -10909, -17028?\nAnswer: -24505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 2 + 8 = 0. Suppose 0 = -4*q - 3*t + 2*t - 176, 5*t + 115 = -3*q. Let u = -223\/5 - q. Sort u, -0.2, d in ascending order.\nAnswer: -0.2, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11423?\nAnswer: 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.116?  (a) -1  (b) 1  (c) 0.1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*y - 10 = 0, -40 = -4*i - 0*y - 2*y. Suppose 7*x + i = 52. Let d be (-1)\/x*9\/(-6). Which is smaller: 12 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 53868078 and 11426562.\nAnswer: 377076546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 - 13 - 49 - (-5 - (5 + -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -14*q. Let p(z) = -13*z. Let h(d) = -4*i(d) + 3*p(d). Let a(k) = -k**2. Give h(a(g)).\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18400*a - 2 = 18405*a - 3*y, 0 = a - 9*y - 50 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 28\/(-42) + (-64)\/(-6). Let j = 16 - u. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.02 or 188?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((4 - -2)\/(-3))\/2. Let f(b) = 3*b + 1. Let v be f(w). Let y be 3 - 5*v\/(-4). Is y smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -14*c**2 - 2*c + 10. What is i(2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 100110011101101?\nAnswer: -100110011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -225594*n + 223931.\nAnswer: -225594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 7*t**2 - 4*t - 5. Let s be y(7). Let x = -17 - s. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -5*u**3 + u**2 + 13*u - 36. Let j(o) = -21*o**3 + 3*o**2 + 59*o - 142. Give 2*j(p) - 9*n(p).\nAnswer: 3*p**3 - 3*p**2 + p + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -8*r**2 - 10 - r**3 + 0*r + 5*r + 0*r**2. Suppose -3*t = 6, -p = -5*t - 4 + 3. What is the units digit of f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -l + 26 - 22, -16 = 12*z - 4*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in 0.3, -0.68, -0.0707, 1\/5, -1\/55?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.06 and 466830 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12\/10)\/(10\/25). Let a(t) = -t**3 + 4*t**2 - t - 6. Let n be a(r). Is n at most 3\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -485 + 0.3.\nAnswer: -484.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -2*t**4\/3 + t**3 + 3*t. Let l(n) = n**2 - n. What is -h(g) - 6*l(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 272224 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42426923 = -111*w + 42419153 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-3)*(-6)\/(-30))\/((-221)\/(-102))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 75749 and 66254?\nAnswer: 23785186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -22*i**2 + 3*i + 62*i**2 - 2*i - 1. Let h(n) = -4*n - 42. What is the remainder when z(1) is divided by h(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -135038960 divided by 3858256.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2161 is divided by 98.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence annn when four letters picked without replacement from nnnnnaannnnnnnnnnn?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6541536 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*z + 10 - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.3965 + -0.0035. Which is the nearest to -2?  (a) v  (b) 0.4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -14 - 11. Let s = 2 + l. Suppose -3*o + 49 = 13. What is the remainder when o is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 343401962 to the nearest integer?\nAnswer: 18531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-50)*-6)\/((-3)\/(-30)*-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 21*w = -23*w + 2072, w + 1036 = 2*p. Solve -523*g = -p*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by (104\/10*(-25)\/(-10))\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 823\/2469*(2 - 5 - 15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 680.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -0.06, -4\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 11:27 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -10021200 (base 3) in base 15?\nAnswer: -a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-12) + (-4)\/3. Let z = -0.0435 + 41.2435. Let h = z + -40.7. What is the closest to 2 in 0.2, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d**3*j**3*z**2 + 57*d**3*z**4 + 2*d**3 - d*j**3*z - 179*j**3*z - z wrt z.\nAnswer: -2*d**3*j**3 + 684*d**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.399 + -2.75. What is g rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 106275 and 38877575?\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d. Let w(a) = -660*a - 121. Let v(z) = 1 + 0*z + 1 - 16*z + 27*z. Let j(n) = -121*v(n) - 2*w(n). Determine j(m(x)).\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1418435*i**3*q**3 - i**2*q**3 + 2*i**2*q**2 + 10*i*q**3 + 2*i*q - 2051 wrt i?\nAnswer: -8510610*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 324*p**2 - 57997*p + 172. Give b(179).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-9))\/(-12*7\/(-378))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 249465684 divided by -1.\nAnswer: -249465684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -246904 or -246909?\nAnswer: -246904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*b**2 - 29*b**2 - 28*b**2 - 28*b**2 + 3*b**3 + 118*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 23, 59, 109, 173, 251?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*r + 5*m - 18, -2*m - m = 5*r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.01, 1, -2\/3, 152?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 69 times 0.5\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of -i**4\/6 + 11*i**3\/3 + 2*i**2. Is 22 a factor of b(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -532, -479, -320, -1, 532, 1333, 2456, 3955?\n\"Answer: 9*l**3 - l**2 - 7*l - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 794504577 to the nearest integer?\nAnswer: 28187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4395231.\nAnswer: 3, 17, 23, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 935 = 4*j, 7*j = 3*j - 4. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/28*(0 + (-7)\/10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -19, -33, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -15. Let s be 230\/(-2*t\/40). What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 3. Let s be o(1). Suppose -m + s*m = 5. Solve g = m*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/24*4*0. Suppose -3*a + 30 + 138 = s. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 13.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 4*q + y, 2*q - 4*y - 10 = -q. Let i be 34\/q - (-12)\/(-18). Solve -i*f - 4 - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7816c1 + -9?\nAnswer: 7816b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -19 + 19 - 22*x + 28*x - 8*x. Let n(q) = -37*q**2 - 3. Let c(h) = -222*h**2 - 17. Let m(g) = 6*c(g) - 34*n(g). Calculate p(m(u)).\nAnswer: 148*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*k - 361411 = -85501. Is 87 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 711331873\/20 + -35579218. Let n = i - -12621. Let q = -33499\/3672 + -1\/459. What is the common denominator of q and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -742 in 1\/4, 0.07, 0.03, 1, -0.3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 - 4*m**2 + 2*m + 6. Let c be i(-4). Sort 2\/9, -0.4, c in ascending order.\nAnswer: c, -0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32.85593m to millimeters.\nAnswer: 32855.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -7 + 10 - 5*l**2 + l**3 - 4 + 5*l. Let q be h(4). Is (-5 - -2)*(-74)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -217*f**2 - 704*f**3 + 217*f**2 + 841*f**3.\nAnswer: 137*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oxxqppxxpqpspjxo. What is prob of sequence po?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(3 + -1 - 3). Let i = g + 7. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7*1)\/(6\/(18\/(-3)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 15 = 64. Let w(v) = v**2 + 6*v - 4. Let t be w(-6). Let i = t - d. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2 + sqrt(5))*-4 + 5.\nAnswer: -16*sqrt(5) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 108*f**3 - 83701*f**2 + 784*f - 6971. Calculate g(775).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*k + 5814 = k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49371 + 4665 + 12744 = 1590*x for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2846 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by 48?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003981895349 to five decimal places.\nAnswer: 0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/6)*v*v**(3\/4))**38*(v**(-7)*v*v**(5\/6))\/(v\/((v**(1\/3)*v)\/v))**28 assuming v is positive.\nAnswer: v**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71821, 83551, 95281?\nAnswer: 107011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/16)\/((-18)\/(-8))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 14) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -10323 + 3719. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 4, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4679925 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**2. Let z(x) = -x**2. Let v(k) = 2*k**2. Let t(d) = v(d) + 6*z(d). Determine f(t(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 81449.78km?\nAnswer: 81449780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -247 (base 10) to base 5.\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -396 + 400. What are the prime factors of (156\/(-18))\/(2\/(-396)*z)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3976*r + 89068. Give m(22).\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/(-18))\/((-24)\/(-360)). Sort c, 4, 3, 8 in ascending order.\nAnswer: 3, 4, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(-1) + (8 + -6)*(-598)\/(-52).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -31*o**2 - 1203*o - 4127. What is u(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of n**8\/14 - 3*n**5\/5 - 31*n**2. What is the third derivative of h(g) wrt g?\nAnswer: 1440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 6*b**2 + 149*b - 109. Let a be i(-10). What is the nearest to a in -0.191, -8, -4?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 894844326 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, -0.4, -0.07, -5\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 + 45*z**2 - 62*z + 53. Let i(g) = 3*g + 82. Let t be i(-13). List the prime factors of m(t).\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4836 and -11?\nAnswer: -53196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -3. Let a be 236\/(-385) + (-2)\/(-7). Let x = 8\/11 + a. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.032?  (a) 0.5  (b) 4\/5  (c) -0.211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -1\/8*j**4 + 1\/40*j**5 + 1\/4*j**3 + j**2 + 0*j + 0. Factor y(a).\nAnswer: 3*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 651 divided by -330?\nAnswer: -217\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1296 + 996 = 2*d. Let l(p) = 5703*p**3 - p + 4303*p**3 - 2402*p**3 - 4 + d*p**3. Let v be l(-4). What is v rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -10688*u + 100. What is the units digit of l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -633 - -676. What is the remainder when 194 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3\/170 - -419\/340. Let v be 2\/12*(7 - 3). What is the second biggest value in l, v, 33?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 13)*2\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppopooppoppo. What is prob of sequence ooo?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d. Let k(f) = 5755*f**2 + 4*f - 59. Determine j(k(t)).\nAnswer: 11510*t**2 + 8*t - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 186 and 10106?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 0. Suppose 5*k = 3*z + 3*k - 14, -3*k + 1 = z. Suppose 2*o = -3*u + 7, z*u + u - 9 = -2*o. What is the highest common divisor of p and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3781\/5 + -756. Which is the smallest value?  (a) r  (b) 1  (c) 0.5  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/((-27)\/(-24)) + 153\/15 - 1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1252444, 1252432, 1252386, 1252288, 1252120, 1251864, 1251502, 1251016?\nAnswer: 1250388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -268865, -537732, -806599, -1075466?\nAnswer: -1344333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 10*q**5 + 445*q**4 - 4945*q**3 + 9920*q**2 - 3780*q = 0.\nAnswer: -54, 0, 1\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3151 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -431.\nAnswer: -4\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*k - 17*k + 58*k - 6 to the form b + l*k and give l.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 1)*(0*n**5 - n**5 + 3*n**5) - 5*n**4 + 5*n**4 + 31*n**5 + 7*n**5 - 5*n**5 + 5*n**5.\nAnswer: 36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8646967 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -3, -0.677, -5, -1\/15 in increasing order.\nAnswer: -5, -3, -0.677, -1\/15, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 358143076.\nAnswer: 2, 4597, 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vkvkvvvlvvllvkkk. Give prob of picking 1 v and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -2*b, -3*a - 2*b = -3*b - 2. Let c = a + 20. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -7*t**2 - 4*t - 1. Let h(b) = 8873*b**2 + 355*b + 9. Let u(o) = -5*f(o) - h(o). Find the second derivative of u(l) wrt l.\nAnswer: -17676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5\/4, -1\/12688, 2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 105371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(1\/69*36\/(-390)). Suppose -1595 = -6*f + n. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 3*n**2 - 77*n - 98. Let c(x) = 4*x**2 - 74*x - 85. Calculate 7*c(h) - 6*u(h).\nAnswer: 10*h**2 - 56*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 1656*p - 3307. Give l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-5*(-6)\/60)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 323, 350, 377?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 198 = -2*q + 4*q. Suppose u + 0*u - 855 = 0. Suppose -19*y + q*y - u = 0. What is the highest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -316 (base 7) to base 13\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9082 + -8463. Calculate the remainder when h is divided by 194.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2282\/18 - (-2)\/9. Suppose 55 = 2*l - 0*b - b, -5*l + j = b. What is the units digit of 3\/(-5) + l\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -515511 = -123*v + 488046. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/184524 and 31\/676588?\nAnswer: 2029764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (1 - 13) + (-6 - -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -222.269188*-3\nAnswer: 666.807564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m. Let w(u) = u**3 + 8*u**2 + 10. Let a be w(-8). Let f(g) = -5*g - a*g + 9*g. Give y(f(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10012 - -11222?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*m**3*u**2 - 1632861*m**3 - 2*m**2*u + 14*m*u**2 + 104361*u**2 wrt u?\nAnswer: 4*m**3 + 28*m + 208722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - -40 - 475\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (44\/6)\/((-208)\/156)*4\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1124827 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1972610 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**2 + 15*c - 4. Let i be f(7). Solve -i*r + 26 = 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 814217229 to the power of 1\/2, to the nearest integer?\nAnswer: 28534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33*(3 + -7)*(-112)\/672?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 250 + -234.3. Let p = r - 13. Let w = 3.7 - p. Which is the biggest value?  (a) w  (b) -1\/5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5660*d**2 - 2695*d**2 - 2957*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*x + 106*x = 4. Put x, 9, -2 in increasing order.\nAnswer: -2, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-15))\/(10\/75) + -1*4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -35*y + 149*y - 996565 + 295579. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20022015 minus -9203.101?\nAnswer: 20031218.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -1196*r**2 - 115. Let h(g) = 21*g**2 + 2. Let c(z) = 345*h(z) + 6*i(z). Let x(b) = -246866350*b - 246866358*b + 493732712*b. Determine x(c(w)).\nAnswer: 276*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 n, and 1 v when three letters picked without replacement from {z: 1, n: 5, j: 1, v: 1, p: 10, x: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2. Let v(t) = 300*t. What is v(q(j))?\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004 times 0.1?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from {u: 3, s: 2, e: 2, o: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 32*t**2 + 315*t + 8375. Calculate s(-34).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 6*o - 252. Suppose -5*n = -3*v - 53, 2*n = -2*v + 4*n - 34. Let f = v + 30. What is the greatest common factor of f and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 746828, 2987100, 6720886, 11948186, 18669000, 26883328, 36591170?\nAnswer: 47792526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2280 and 2032848?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z - 19. Suppose 3*d - 189 = -156. Let f be n(d). Which is the nearest to 1?  (a) 13  (b) 4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3, -11, -21, -33, -47, -63, -81?\n\"Answer: -v**2 - 5*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k**2 - 5*k**2 + k**2 + (k**2 - 2 + 2)*(2 - 4 + 3) + (5*k - 3*k + 2 - 4*k)*(2*k - 3*k + 0*k).\nAnswer: 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.2  (b) -0.09  (c) -4\/7  (d) 0.4  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -15*3\/(-513)*-57. Suppose 5*u + 3*o - 42 = 0, -2*u - 2*o + 0 + 20 = 0. Let j(g) = g**2 - 6*g + 2. Let d be j(u). Sort w, 3, -1, d in descending order.\nAnswer: 3, d, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u - 3*u + 5*u - 1. Let l = -39 - -39. Suppose l = -4*t + 58 - 50. What is y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16771.342 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 640 and 64?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = n + 4*q - 6, -2*q - 36 = -2*n. Solve n*p = 12*p + 2*g - 8, -5*p - 6 = 4*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -2*m - 15623 + 15513, -66 = 3*m + 3*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**5 + 0*k**5 + 3*k**5)*(-5 + 3 - 3) + 3*k**5 + 9*k**5 + 5*k**5 + 2*k**5.\nAnswer: 14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2*b**3 + 13*b**2 + 2542*b + 14341. Calculate g(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1432366 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -94\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and 29331.\nAnswer: 17598.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 2*p = 37, 11 = -12*j - 5*p + 4 + 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/13 + 6244*g\/13 - 62240\/13.\nAnswer: -2*(g - 3112)*(g - 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p + 2 + 2*p + p**2)*(-10*p - 2*p + 2*p) + (-2*p + p - 4*p)*(14383*p - 14383*p - 108*p**2) as b*p**2 + i*p + y*p**3 + d and give y.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 2\/5, -1, 101, -3\/4, 7\/5, 69\/8, -3?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -15*o + 18. Let p(w) = -44*w + 53. Let z(v) = -11*m(v) + 4*p(v). Let k(y) = -4*y + 5. What is 8*k(d) - 3*z(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 79b?\nAnswer: -79d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-48)\/(-40))\/((-2)\/(-5)). Suppose -m - 2132 = -4*w - g*m, 3*m = 0. List the prime factors of w.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 128454137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**2 - 13*p - 6. Let z be i(7). Let r = -100 + 498\/5. Which is the nearest to z?  (a) 2\/11  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6 - -22)*(-6)\/(-8). Let p = -15 + r. Suppose 0 = -6*d + 4*d + p. Solve 2*o = -2*l - 2*l - 18, o = l + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g + g - 11*g**3 + 14*g**3 wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2  (b) 3  (c) -60\/17  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1 = 13. Suppose -b = -u + 1. Solve -7 = -m - z, 3*m + 4*z - 5*z = b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y**2 + 7*y + 12. Let d(i) = -2*i**2 - 4*i - 6. Let p(w) = 3*a(w) + 5*d(w). Give p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6 + -2)*(-2)\/(-8) + 1. Suppose 3*p + u = 1368, 4*p + x*u + 2*u = 1824. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 487.6937 decades?\nAnswer: 4876.937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c - 19?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 19 = -h. Suppose 0 = 4*g - h*c - c - 244, -4*c = -g + 76. Calculate the smallest common multiple of g and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1202, 2424, 3634, 4826, 5994, 7132, 8234?\n\"Answer: -j**3 + 1229*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 26  (b) -4582  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**(-1))*d)\/d*d*d*d*d)**(2\/67)\/((d*d*d\/(d*d**(-2\/7)\/d)*d)\/d)**(2\/3) assuming d is positive.\nAnswer: d**(-2872\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -11*g - 396. Let f be c(-36). Solve -6*k + 13*k - 7 = f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 86 in -4, 1\/10, -13?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -5*r**2 - 8*r - 1. Let b be g(-2). Let v be ((-288)\/(-80))\/((-2)\/b) - 5. Solve 4*x = -0*x - 2*o + 10, v*x - 2*o - 14 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1797*t**4 - t**3 + 3*t**2 - 15279.\nAnswer: 7188*t**3 - 3*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 2 - -8) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 5 = -2*d. Suppose 86 = 2*u - 2*n, 0*u - 5*n + 19 = u. Let o be (u\/9 + -3)*-3. Is d at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41257, 80486, 119717, 158950, 198185?\nAnswer: 237422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -g**5\/5 + g**4\/6 + 2*g**3\/3 + 5*g**2\/2 + 2*g - 90. Let d(a) = -6*a**3 + 3*a**2 + 6*a + 8. What is 5*d(r) - 8*l(r)?\nAnswer: 2*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*n - 182 = -k, 4*n = -5*k + 260. Does 44 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2*m = -22, 5*a + 0*a - 4*m = -5. Let c(t) = 2*t**2 + 4*t - 3*t**2 + 11 - 4*t - 6*t. Let k be c(-8). Sort -3, a, k in ascending order.\nAnswer: k, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21622621 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2564157*b**5 + 25*b - 89710?\nAnswer: -51283140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {t: 10, d: 4}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/24)\/((-8)\/6)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let z(u) = -u**3 - 7*u**2 - 3*u + 24. Let p be z(-6). Let f(q) be the first derivative of 1\/5*q**2 - p - 2\/15*q**3 + 0*q. Solve f(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163 + 38 = -25*x. Put x, -1, 8, 4 in descending order.\nAnswer: 8, x, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-20)\/28 + (30\/(-42))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011101001111101010 + -101?\nAnswer: 11011101001111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56786, 80464, 104144, 127826, 151510?\nAnswer: 175196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 11\/10  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 582 is divided by 521.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 118787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -517743*0.2\nAnswer: -103548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of 0 + 1\/12*c**4 + 12*c - 11\/6*c**3 - 5*c**2. Let q be n(12). Solve -3*z - q*f + 12 = -f, 5*z = -2*f + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(105\/14))\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (33\/9)\/(-3 + (-74)\/(-24))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 - 9. Suppose -c*a = -3*a. What is the units digit of (-4)\/12*(-12 + a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 763 and 52762213?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*((q**5\/q)\/q)\/q*q)\/q**(5\/3) assuming q is positive.\nAnswer: q**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 27a6dc - -5?\nAnswer: 27a6e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q - 27. Let m be ((-11)\/(-22))\/(1\/10). What is the smallest common multiple of 13\/m + (-3)\/5 and f(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14948, -14926, -14898, -14870, -14848, -14838?\nAnswer: -14846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 2*g - 2*g)*(146 + 107 + 1444 + 647).\nAnswer: -2344*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 258 divide 24356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3900*a**3 - 2*a**2 - 2*a - 3567. Let m(o) = -19502*o**3 + 11*o**2 + 11*o + 17837. Let d(h) = 2*m(h) + 11*y(h). Differentiate d(k) with respect to k.\nAnswer: 11688*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-2)*(-2)\/(-3). Let g be c\/5*(-15)\/12. Let b = -0.2 - -0.2. Sort 5, b, g in increasing order.\nAnswer: b, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4836*5.0088\nAnswer: -24222.5568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, y: 2, f: 8}. What is prob of sequence fyzf?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v + 14. Suppose -42*t + 54*t - 132 = 0. What is w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, 1\/5, -4, 0.1, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(320) + 0 + -5)**2.\nAnswer: -80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4*g = 6. Let y(m) = -m**2 + m - 1. Let x be y(g). Let i = -2 + -3. Put x, i, -1 in ascending order.\nAnswer: i, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**2\/6 + 27400*h - 1126140000 = 0. What is h?\nAnswer: 82200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from zzvvv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8498, 16994, 25490, 33986, 42482?\n\"Answer: 8496*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 62\/4 + 3\/(-6). Let w = -20 + g. Let t(n) = -5*n**2 + 27. Let d(o) = 3*o**2 - 18. Let l(j) = w*t(j) - 8*d(j). Find the first derivative of l(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-3)\/30)\/(5 + (-68)\/15)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/((21\/63)\/(4\/1650)))\/(104\/260).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 53221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -146295898 take away -1347?\nAnswer: -146294551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13424 is divided by 756.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 847980 is divided by 5725.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1862 + 1864. Factor 0*s + 0*s**n - 6\/5*s**3 + 3\/5*s**4 + 0.\nAnswer: 3*s**3*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, y: 1, t: 1}. What is prob of sequence yyx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40256724 and 3720?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-98)\/56*3\/14?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = -15*z - 4, 3*t + z - 181504 = -181498 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**4 + 3*w**4 - 3*w**4 + (-w**4 + 3*w**4 + 0*w**4)*(-1 + 3 + 0) + (-w**3 + 5 - 5)*(-94 + 94 + 15*w).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 868 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*k + 33*k + 39*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -8*t**3\/3 - 175. Let l(x) = 6*x. Determine l(p(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/53)\/(1*(-1)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1634451167.\nAnswer: 577, 599, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18*(-5)\/60*(-1 + 21\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 1:09 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -324, -681, -1038, -1395?\nAnswer: -1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*u**2 + 4*u - 4*u**3 + 6*u**4 + 37116 - 37116.\nAnswer: 2*u*(u - 1)*(u + 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q - 6. Let b be m(-5). What are the prime factors of 1 + (b\/2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -10*r + 23 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -654 = -37*c + 419. What is the nearest to 2\/5 in -3, 0.2, -5, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (372 + 25*f**2 - 372)*(-3*f + 5*f - 4*f).\nAnswer: -50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-84)\/(-8) - (-21)\/(-6). Solve 2*g - o*g = 3*b + 25, 5*b = -4*g - 33 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 61516\/119 + (-12)\/(-204)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of q**5\/10 - 7*q**4\/12 - 5*q**2\/2 - 9*q. What is the units digit of u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-112)\/(-12) + (-4)\/(-6). Suppose w*t - 7*t = 0. Suppose -a**2 + 12 - 2*a**2 + t*a + 0*a = 0. What is a?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57565?\nAnswer: 5, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58716514.\nAnswer: 2, 29358257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 99*x**6 - 12*x**5 - 36*x**2 - 12*x. Let a(h) = -h**6 + h**5 - h**2 + h. Let t(f) = 12*a(f) + c(f). What is the third derivative of t(i) wrt i?\nAnswer: 10440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -9*v**4 + 20*v + 39. Find the first derivative of p(k) wrt k.\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = g + 5, -4*g = 4*n - 2*g - 38. Suppose -5*y + y = -n. What is the units digit of 95 - (-3 + y - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 3*o**2 + 2*o + 126. What is the remainder when p(0) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96722896 to the power of 1\/3, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 80 - 82. Let k = 8 - 8.04. Let h = -0.16 + k. What is the nearest to 3 in u, -2\/19, h?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 84700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(6\/4) + -61. Let c be (-1)\/(3 + -2) - a. Suppose 4*m = c - 22. Solve 5*f + l + 23 = 0, 0*l - 2*l - m = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*d - 36, 4*d + 3*n = n + 8. Let w be (2\/(-7))\/((-8)\/56). What is the remainder when (-18)\/(-45)*5*(7 - w) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 w when three letters picked without replacement from {o: 1, w: 1, p: 1, a: 2, s: 1, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**3 - 77*s**2 - 35*s - 62. What is y(-38)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26992456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s + 1630 - 130. Suppose -6*j + s - 40 = 0. What is the smallest common multiple of j and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of a**4\/12 - a**3\/3 + 77*a**2. Let w(y) = 2*y - 2. Let p be ((-15)\/3)\/(-2 - -1). Determine p*g(v) - 4*w(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 276*z**2 + 224*z**2 - 172*z**2 + 106*z**2.\nAnswer: 434*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 5*m + 6. Suppose -10*x + 384 - 311 = 63*x. What is the biggest value in x, m, 3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*w**2 + 0)*(-3 + 3 + 2) + (-w**2 + 3*w**2 + 2*w**2)*(2 + 2 - 3) - 30*w + 30*w - 11*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/6)\/((-6)\/(-9)) + 8. What is the highest common factor of b and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 35*m**3 - 2*m + 2. What is the remainder when 67 is divided by y(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(9 + (-26)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 730691 divided by 1\nAnswer: 730691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 7*b. Let i be s(-1). Let v(m) = -2*m + 4. What is v(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3321558 divided by 1107186?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -10 + 25*a**2 - 7*a - 3*a**3 - 1\/6*a**4. What is the derivative of p(i) wrt i?\nAnswer: -4*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -160, -358, -556?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00015054 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + s - 108 = -3, 0 = -s - 5. Let d = -4 - -7. Solve 2*q + d*q - 2*y = 24, 4*q = 3*y + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 47*s**2 + 264*s - 1915. What are the prime factors of j(7)?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -126.4 - 32.6. Let k = q - -158.7. Which is the closest to -33\/7?  (a) 0.2  (b) k  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of i**8\/2520 - i**7\/420 + i**6\/180 - i**5\/180 - 11*i**3\/3 + 10. Let f(z) be the third derivative of q(z). Solve f(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b. Let r be (-3)\/((-12)\/(-2))*2. Let a be i(r). What is the second derivative of -f**4 + f**4 - 2*f**a + f wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355458 to the power of 1\/2, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.61 - 0.59. Let v = 97090.82 + -97097.019969. Let o = v - m. What is o rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68658407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2413576483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/28 + (-20)\/(-14). Let x = -1 - j. Let p = 3 - x. Sort p, -2, 4 in decreasing order.\nAnswer: p, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of i**3\/3 + 33*i + 58. Let r(p) = 4*p**2. Give r(s(m)).\nAnswer: 4*m**4 + 264*m**2 + 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f + 1. Let p(l) = 2 - 6*l - 3 + 2*l. Suppose -2*h = -4*h - 32. Let d be 4\/6*120\/h. Calculate d*i(z) - 4*p(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/(-6))\/(2\/12). Suppose 0 = -g*t + 2*t. Suppose h + 2*h = t. Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*a = -59*a - 5*a. What is the closest to a in 5, -0.6, -3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*c - 49*c = 324. Solve 3*b + 6 - c = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/9  (b) 5\/4  (c) 5  (d) 0.0206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 49\/2  (b) 1017  (c) 0  (d) 0.06  (e) -3  (f) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -1 + 5 - 5*f**2 + 3*f + 2*f**2 + f**2. Let w(u) = -417. Let n(p) = 149. Let g(z) = 14*n(z) + 5*w(z). Calculate 4*g(m) - q(m).\nAnswer: 2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 3. Let l(w) = 2*w**2 + 0*w + 2*w**2 - 2*w + 6*w**2 + 4. Let k be l(d). What is the highest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x - 2. Let y be 2\/2 + 4\/2. Suppose 2*t = -3*v + 8, 5*v - 6*t + y*t = 26. Suppose -2*g = -3*j + 3, -12 = -v*g - 0. Calculate l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 168, 2\/7, 1.\nAnswer: -0.6, 2\/7, 1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1312665, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jdj when three letters picked without replacement from {l: 1, j: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(-10)*(-4620)\/(-6776)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 2*c - 20. Let x be ((-126)\/c)\/(-1 + 34\/33). Round x to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 6*j. Let y = 23 - 16. Let p = y - 5. Solve -p*x - 4 = -j*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221012201 (base 3) to base 2\nAnswer: 100011111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000001011101010101 - 11?\nAnswer: 10000001011101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 2:19 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2548 = 2576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1276*-31*(-14)\/(-19096)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6755 plus -5?\nAnswer: -6760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g + m + 7 = 5*g, 0 = -2*g + 5*m - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**2 - 80*x + 101. Calculate the remainder when h(-26) is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*j + 69*j - 39808710. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135489431 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 4\/2)\/(-1). Suppose q*u + 5*u = 125. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(3168) - (sqrt(3168) - sqrt(3168)*-1)) + sqrt(3168)) - sqrt(3168))\/((sqrt(50) - 2*sqrt(50))*-2).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-6))\/((-23)\/(40 - 17)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of -5*v**4\/24 - 4*v**3\/3 + 77*v**2. Let i be h(-2). Solve -2*b = -b - i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 113 + 3 = 4*o, -2*o = 0. Let w(t) = -t + 11. Let d be w(0). What is the highest common divisor of d and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7645 * 8.9\nAnswer: -68040.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 671375.8 + 13\nAnswer: 671388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 8:08 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68898258 divided by -5577.\nAnswer: 12354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-20))\/(29\/116)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(6\/(42\/7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 0.5, 0.4, -2.2 in increasing order.\nAnswer: -2.2, 0.4, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/26 - (10827\/351 + -22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.104694+-0.15\nAnswer: -0.045306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -20010110110 (base 3) in base 9?\nAnswer: -203413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - -20. Let y = a + -9. Let v(l) = -10*l**2 - 8*l + 9. Let k(i) = i**2 + i - 1. Suppose 5*f = 25, -f = 2*s - 0*f - 41. Determine s*k(u) + y*v(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 + 22. What is the units digit of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 29 = -9*x. Suppose l + 2 = 3. Solve -c = -l - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1106, 1098, 1086, 1070?\n\"Answer: -2*j**2 - 2*j + 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6.96 times 0.1\nAnswer: 0.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -376557.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (((-72)\/42)\/(-6))\/((-4)\/301)*4\/(-2)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1484 - -4457\/3. Let k(g) be the first derivative of g**2 + 3 + w*g**3 + 0*g. What is the second derivative of k(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 161 and 1955.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 + 0.2. Let k = -0.2 - c. What is the smallest value in 4\/7, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 738377 and 466?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 2 = -2*y. Let i be (y - 4)*7\/21 - -12. Suppose -2*x + i*x = 1899. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17289 is divided by 480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 2*d + 46, -5*s = -2*s + 5*d - 2. Is 0 + -2 - s\/(-6)*1126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9168193 (base 10) in base 8?\nAnswer: -42762501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2279*r + 2219*r - 4894*r)*(0 + 1 + 0)*(-2 - 4*r**2 - 1 + 5*r**2) in the form v*r**3 + m + x*r**2 + p*r and give v.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 5589912000 to the nearest 1000000.\nAnswer: 5590000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, s: 1}. Give prob of sequence bs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -90095 <= -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + 0*d**2 - d**2)*(-29 - 9*d + 29)*(0 + 0 + 3*d**2).\nAnswer: 108*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d*d\/d**(-14))))**40 assuming d is positive.\nAnswer: d**640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g**3 + 2*g**2 + 4*g - 4. Let m(h) = -4*h**3 - 2*h**2 - 5*h + 5. Let d = -12 - -8. Let o = -1 + d. Give o*k(u) - 4*m(u).\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*2\/(-24))\/((1736\/64)\/7).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 - 0.175. Let j = -7.5 - -7.538. Let b = j + l. Round b to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*l - 137*l**2 + 8 - 5*l + 141*l**2.\nAnswer: 4*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 17 = u, -y - 4*y - u = -28. Suppose -y*x + 46 = 16. What is the remainder when 23 is divided by x\/4*(-32)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 856 a factor of 779572375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28288\/(-1989))\/((-144)\/(-324)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*u + 48 + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3881 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 306, 308, 320, 348, 398, 476, 588, 740?\n\"Answer: b**3 - b**2 - 2*b + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27360 and 5680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (3 + -5 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(24\/2)*6\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/1662 and -33\/8?\nAnswer: 6648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 - -4) + -56 + -58 + 33?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5951323944.3623249487 - -5951323944. Let g = w + 229.3623259187. Let k = 229 - g. Round k to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f - 1. Let p(o) = -42*o - 4. Determine p(w) - 5*r(w).\nAnswer: -47*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(25\/(-250)*245)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 144583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 77 + 66 = -3*t, -7 = 5*t - 2*m. Let d = 0.096 - -1.904. Which is the closest to d?  (a) -5  (b) t  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 100 = -20. What is the remainder when 78 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.195 + 0.209084073213.\nAnswer: 0.014084073213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-192)\/(-16))\/((-90)\/12)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8601633 - 21?\nAnswer: 8601612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 16505673.25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-4)*j**5)\/(j*(j\/j**(-1\/5))\/j*j*j\/(j*j*((j*j**(-5\/2)*j*j)\/j)\/j))*j**(-4)\/j**3*(j**(2\/5)*j)\/j**2 assuming j is positive.\nAnswer: j**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.182  (b) -4\/3563  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1223*d**2 - 349*d**2 - 701*d**2.\nAnswer: 173*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + h + 75 = 0, -21 = -2*f - 5*h + 9. What is the remainder when 163 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -14, -3, -2, 6 in ascending order.\nAnswer: -14, -3, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-22 + 18) - (8 + -1). Which is the fifth smallest value?  (a) 3\/10  (b) 5  (c) t  (d) 0.1  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*h - 750 = 23*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/(sqrt(11)*1) + (2 + sqrt(448) + sqrt(448) - sqrt(7)))**2.\nAnswer: 64*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*z - 1232 = 9*z - 2*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 11 - 6 = -5*k, -14 = 4*g + 2*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90525 and 14768?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -15. Let c be ((-2)\/m)\/(1\/(-64)). Let f be c\/12*(-276)\/(-16). Calculate the greatest common factor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 26, 44, 96, 200, 374?\n\"Answer: 3*b**3 - b**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10178 - 10172. Let p(k) = k**3 - 6*k**2 + 31*k - 178. Determine p(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 7*o - 7 + o - 6*o as k + l*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 2) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 5:17 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mir when three letters picked without replacement from {d: 2, m: 2, n: 2, r: 2, o: 1, i: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 20 = -2*f, -637*m - 22 = -641*m + f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 3485*r**2 + 66214*r + 4. Calculate a(-19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**2 - d**2 - 4*d**2)*(d - d - 2*d**2)*(-60*d + 111*d - 63*d + (3 - 3 - 1)*(-4*d + 4*d - 5*d)*(4 - 2 - 1 - 1 + 5 + 0 + (-1 - 3 + 5)*(0 + 1 + 1))).\nAnswer: 92*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g\/(g\/(g*g*g*g*g**(2\/15)*g*g)))\/g))\/(g*g**1))**(-2\/19) assuming g is positive.\nAnswer: g**(184\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 - -16. Let t(a) = -a**3 + a**2 - a + 1. Determine t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (2 + 16 + -9) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6161)\/(-101) - 13\/1. Solve -19*c + s*c = 23*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - s**2 - 1. Let a be (-9)\/(135\/(-50)) + 7\/(-21). Let z(v) = 2 + 1268*v**2 + 11*v**3 + a - 1263*v**2. Give -5*b(j) - z(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, t: 3, q: 2, s: 3, y: 1, i: 1}. What is prob of sequence ysiy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, u: 2, r: 1, i: 2}. What is prob of picking 1 u and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -4, -5*d = -4*d - 4*l - 44. Suppose 4*i + g = 14, 4*i + 3*g = -i + 21. Suppose -8 = -2*w + 5*h - i*h, d = 3*w + 5*h. Solve -2*n + 1 = -w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 303*x. Let i be g(-1). Let p be 4\/16 + i\/(-4). Let b = p + -381\/5. Is b <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/12)\/((-29)\/(-87)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -169\/30 + 527\/90. Suppose -14\/9*n**3 + 22\/9*n**2 + 0 + y*n**4 - 10\/9*n = 0. Calculate n.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2801221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 9:10 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2 - 588*c - 1759. Calculate j(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 - -32. Suppose -4*d - a = -27, z = d + 2*a - 7 - 5. What is the smallest common multiple of 1 and ((-16)\/(-6) + -2)\/(2\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c**2 - 5*c. Let z(x) = 7*x**2 - 6*x. Determine -6*w(t) + 5*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of -5*c**3\/3 + 25*c**2\/2 + 70*c + 387. Let w(j) = 0. Calculate j.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.213, 4\/1469, 5, -0.4 in ascending order.\nAnswer: -0.4, 4\/1469, 0.213, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 16*m**3 + 18*m**2 + 3. Let q(i) = 15*i**3 + 19*i**2 + 4. Let p(v) = -3*q(v) + 4*r(v). Find the third derivative of p(d) wrt d.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 165 and 8?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 982, -5, 0.\nAnswer: -5, 0, 982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2960 by 74.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18.97 + 19. Let t = -0.07 - x. What is the closest to t in -0.3, 0.4, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20 + 9 + -1 + -4. Suppose 0 = j*m - 8*m - 160. Solve l + m = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -165, -127, -63, 27, 143?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -232 + 244. Suppose 12*h + s*h = 272. Calculate the highest common factor of 221 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1656766 less than or equal to -1656768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60294*o = -60344*o - 2750 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5911611 from 5.\nAnswer: -5911606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x - 5*a - 22 = -15*x, 0 = 3*x + 3*a + 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1081  (b) -2  (c) 5  (d) -1  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7.033  (b) -4  (c) 0.8  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 139*k**2 - 530*k**2 + 22589*k - 22588*k.\nAnswer: -391*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 1, 5\/2, 5, -50\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11191 - 6473. Suppose -3*d = -4879 - k. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 531?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c**2 + 6*c + 2. Let b be x(-2). Suppose 5*u - d = b, 4*u + 0*d + 1 = -5*d. Is u > -1\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - b**2 + 4. Let l(d) = d**3 - 7*d**2 + d - 4. Let o be l(7). Is 12 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31211201202 (base 4) to base 2\nAnswer: -1101100101100001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 12315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 572017\/537 + -6391\/6. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -124*3\/((-15)\/5). Let p = b - 88. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 826*c - 1285*c - 5357 = 2672*c - 152514 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -333*q**2 - 304*q**2 - 299*q**2 + 807*q**2.\nAnswer: -129*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**2 + 4737*h + 33096. Determine o(-7).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of 7*a**3\/2 + 27*a**2\/2 - 3*a. Suppose 0 = 3*r - 6*r + 4*z, -24 = -3*r - 4*z. Let i(b) = -3*b - 4. Calculate r*q(x) + 27*i(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 26 = -10*s, s + 46*y = 48*y - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i - 97 = -448. Let s(l) = 6*l + 2*l**2 + 42 - i - 18*l. Let r be s(6). Solve b = -r*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 - 29 - 6)*(2*j**4 - 2*j**4 - j**4) to p*j + t*j**4 + f*j**2 + r*j**3 + k and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n**2. Let f(w) be the third derivative of w**5\/60 + 3*w**2. What is z(f(v))?\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5740714 rounded to the nearest 10000?\nAnswer: 5740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 95930147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (20*2\/24)\/((-1)\/(-3)). Calculate the highest common divisor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 8*h**2 + 10*h + 20. Let p be z(6). Suppose g - p = -7. Solve -3 = 2*o + g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 + p**2 + p**2)*(24 - 56 - 58)*(2 + 3 - 2).\nAnswer: -270*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 154561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -38 >= -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 734408 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2*a + 4 = 0, -12*v = -10*v - a + 10. Put v, -2\/11, -1\/3 in descending order.\nAnswer: -2\/11, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 42 = -4*x, 7*x = 3*x + 16. Are 36 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18.4921 - 1.0921. Which is the second smallest value?  (a) 0.05  (b) x  (c) 1\/2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, s: 2, e: 10, a: 2, b: 1}. What is prob of sequence ef?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 652.53732 - 0.0728012?\nAnswer: 652.4645188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ugguuuuuuggggugu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.2, -3, 217?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*m + 2*w - 2, 12 = m + 2*w. Let k(h) = -m + 7*h + 1 - 11*h + 0. Let r be k(-2). Is 7 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*40\/260 + (1 - (-1747)\/(-2561))?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 7:25 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence soss when four letters picked without replacement from {s: 6, o: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-255)\/12 - 2\/(-8). Let w be (-3 - 69\/l)*7. Solve 3*k + k - 6 = -r, w*k + 4 = 3*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 times -118.901\nAnswer: -95.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 4174 = 5*o, -10*i = -3*o - 7*i + 2502. Suppose -4*t + j + 569 = -1103, -o = -2*t - 2*j. List the prime factors of t.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 210 and 20230?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 3*y + 11 = 0, -5*z + 9 = -y + 2*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17.1749 - 8.771. Let c = -6.2 - 2.2. Let x = c + q. What is x rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58598 by -169.\nAnswer: -58598\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p**2 + 13. Let z(t) = -6*t**2 + 38. What is -14*a(r) + 5*z(r)?\nAnswer: -2*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 64*x + 17085 - 17737 = 0, -z - 27 = -3*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q\/(q\/(q\/(q**(-3)\/q)*q)))\/q*q)\/q*q**13)\/(q*q\/(q*q**(-3)))**(1\/2) assuming q is positive.\nAnswer: q**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/3)\/(17\/51).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -38206 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 29 and -94.41.\nAnswer: -65.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1 and 246470212876?\nAnswer: 246470212876.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2678775960 and 0.063.\nAnswer: -2678775959.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(3\/7)*s)\/s*s**(1\/5)\/s*s\/s**7*(((s*s**12)\/s)\/s)\/s*s*s)**(1\/4) assuming s is positive.\nAnswer: s**(58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, o: 2, e: 3, c: 1, b: 1}. Give prob of sequence loob.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-8)\/108*12\/(-16).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -310*f**3 + f**2 + 3*f + 12. Let m be d(4). What is m rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffhvhfvoffhhfooffff. Give prob of picking 2 v, 1 h, and 1 f.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 110*l**3 + 564*l**2 wrt l.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-38\/3)\/x)\/x)\/(x**(2\/15)\/x))\/(x**(-17\/3)*x**(-1\/29)) assuming x is positive.\nAnswer: x**(-3523\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i. Suppose 3*g + 0*g - 5*b + 3 = 0, -4*g = -b + 4. Let x be o(g). Let m(u) = -4*u - 40. Let h be m(-11). Put h, 5, x in descending order.\nAnswer: 5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 114699, 4, -0.22, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -63 less than -18309\/290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -64514852100 rounded to the nearest 1000000?\nAnswer: -64515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11089921 and -2?\nAnswer: -22179842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44.56 - 7.56. Which is the closest to 14?  (a) -3  (b) 1  (c) -5  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3258, 3260, 3264, 3270?\n\"Answer: o**2 - o + 3258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y + 4 + 23*y - 69*y + 23*y + 23*y - 2. Let c(p) be the second derivative of 3*p**2\/2 + p. Give -3*c(f) + 2*q(f).\nAnswer: 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 4*u - 2792 + 572, -4*u = -3*q + 3344. Calculate the remainder when q is divided by 303.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54 - 76 - w + 129 + 2*w**4 - 17*w**2 + 32*w**3 to d*w**2 + a*w**4 + u + f*w**3 + s*w and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7112830 divided by 145.\nAnswer: -49054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from epeepeeeee. Give prob of picking 2 e.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 623 by -327902.\nAnswer: -623\/327902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/1)\/((-20)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1550 and -882284979.63.\nAnswer: -882286529.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*j - 111*j = -5*o + 60, -3*j = -o + 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 23 + -83?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -94*g + 53 + 1169. Let p(z) be the third derivative of 0*z + 23\/6*z**3 - 3\/4*z**4 + g*z**2 + 0. Find the first derivative of p(f) wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6946.5 - 6946. Sort x, -2, -5, 0.3 in ascending order.\nAnswer: -5, -2, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5 + 262*a - 262*a - 4 + 4*a**3 wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2032.33196 take away -3?\nAnswer: 2035.33196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 + 5. Let t(v) = -v - 9. Let f be t(b). Is (7\/7)\/(f\/(-22)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b (base 12) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 4*r**3 - 23*r**2 + 10*r - 86. Determine n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19319001?\nAnswer: 3, 13, 495359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.4 - 0.2. Let h(r) = -r**3 + 8*r**2 + 6*r - 10. Let c be h(7). Let m be (c\/(-12) - -7) + 3\/(-8). Sort 4, z, m.\nAnswer: m, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jgipptij. Give prob of sequence ji.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 2. Let o(i) = i**2 - 4*i + 1. Let k be o(4). Suppose 0 = -2*q + 7 + k. What is the third biggest value in q, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 2243516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -2, -25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -127503?\nAnswer: -12750.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2217021, 2217036, 2217063, 2217108, 2217177, 2217276, 2217411, 2217588?\nAnswer: 2217813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(((b\/b**(7\/9))\/b)\/b)*b\/((b*b**37)\/b))\/(b**(-22)\/(b**(-4\/3)*b*b)) assuming b is positive.\nAnswer: b**(-95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 258 - 258. What is the biggest value in 9, 2, m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*s - 935 + 8*s**2 - 929 + 0*s**3 - 909 + 2*s**3 + 2741 = 0 for s.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2 - 23234*y + 139476.\nAnswer: -2*(y - 6)*(y + 11623)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 470 at least 469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*x**3 - 35*x**2 + 35*x**2 - 71*x**3.\nAnswer: -110*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - -23. Suppose 4*i + 0*i + s*d = 68, -4*i + 5*d = -68. Differentiate 2*l**3 + 17*l**2 - i*l**2 - 3*l**3 - 8 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10836 - 10836. Which is smaller: p or 23\/142?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqjqjkjjqqkkfq. What is prob of sequence kj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 222 and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000019 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -332 - -337. Let u(j) = 3*j - 3. Let w(z) = -5*z + 4*z + 2*z. What is c*w(k) - u(k)?\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/6 + (-4)\/(-8))*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-110)\/20)\/(-11) + (-3)\/4. What is the closest to -1\/2 in 4, 2, k, -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s + 25*s - 22309499 = -5*m, m - 4461899 = -s. Round m to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -526257, -526796, -527335, -527874, -528413?\n\"Answer: -539*h - 525718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -280919, -561071, -841223, -1121375?\nAnswer: -1401527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/22116 and -45\/608.\nAnswer: 176928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14 and -7.814.\nAnswer: 109.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, k: 1, j: 2, a: 2, z: 2, w: 1}. Give prob of picking 2 j and 1 k.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 362918648?\nAnswer: 2, 45364831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1627 is divided by 326?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -18227430 to the nearest one hundred thousand.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, g: 3, x: 5, a: 5}. Give prob of picking 1 a, 1 x, and 1 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3*sqrt(242) + sqrt(242) + -3)**2.\nAnswer: -264*sqrt(2) + 3886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 5 = q. Let g be 35\/(-20) - (5610\/72)\/(-55). Which is the closest to 2\/9?  (a) g  (b) q  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 208 and 1457448?\nAnswer: 37893648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 417 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 35795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 15663675 divided by -11425\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448)*-3 + sqrt(28).\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2143924, -2143923, -2143922?\n\"Answer: v - 2143925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - n = 20. Solve -2*k - 5*z + 21 = -n, -7 = -4*k + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 2\/75419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -1, 811, -11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 12*a**2 - 1552*a + 1552*a + 4*a**2 - 5*a**2. Let o(j) = -j + 113. Determine y(o(p)).\nAnswer: 11*p**2 - 2486*p + 140459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26206 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1208 = 12*t - 4*t. List the prime factors of t.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(42))\/sqrt(6) - (-1 + sqrt(847)))**2.\nAnswer: -20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of n**4\/36 + 2*n**3\/9 - 5*n. Factor u(i).\nAnswer: i*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00012671203 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 127*m - 123*m + 18 = 0, 0 = 4*r + m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2\/7, 21, 315?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 0*l + 2*y = 96, 157 = 4*l - 3*y. Let o = l + -48. Suppose -m = -6*m + 20. Put o, -7, m in decreasing order.\nAnswer: m, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of 0*w - 4\/3*w**3 - 1\/210*w**7 + 0*w**5 + 0 + 0*w**6 - 6*w**2 + 0*w**4. Differentiate u(x) wrt x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3058036839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -3*p**4 + 1722*p**3 + 1905*p**2 - 103824*p + 186300 = 0?\nAnswer: -9, 2, 6, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6849 - -7102. Calculate the remainder when t is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 92060 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.1, 53, 3, -2\/9, -846 in decreasing order.\nAnswer: 53, 3, -0.1, -2\/9, -2, -846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7a5 - 2315?\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 255467 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s + 0*s - s**2 + (-2*s**2 - s**2 + 4*s**2)*(15830 + 5361 - 3131).\nAnswer: 18059*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -a + 5*a. Let l = 10 - a. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 1, -8 in decreasing order.\nAnswer: 14, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -8. Let q = 2 - -4. Let o = 2058.6 - 2058.9. Which is the closest to q?  (a) n  (b) 2\/5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8911963 + 12005286 = -b. Let v = b - -34917249. What is v rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 4*r + 15. Let z = r + -1. Suppose 3*w - h + z = 0, -w - 3*h + 11 + 1 = 0. Let y(i) = -i**2 - 2*i - 2. What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3639477 litres?\nAnswer: 363.9477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6189 + ((-110)\/20 - 2\/(-4)).\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: 6 - (7 + 0) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27273 is divided by 1276.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96287.\nAnswer: 73, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 192874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 119 - (4\/3)\/(16\/(-48)). Let a = -113 + r. Calculate the highest common factor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -18) + (9 - (10 - -18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 - 19*d**2 + d + 17. Let f be t(-19). Let x be ((-3)\/f)\/((-8)\/(25 - 9)). Let p be (1\/12)\/((-2)\/4). Sort 1\/5, p, x.\nAnswer: x, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 0.3  (b) 1  (c) 1.1  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 143 + 17 = 0. Calculate the lowest common multiple of 42 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h + 2384 - 2363, -42*w - 18*h = -43*w - 124 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 k when four letters picked without replacement from kkkknnnkqkkkkkqkkq?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 42*q**2 - 22256*q - 2120.\nAnswer: 2*(q - 530)*(21*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + i**4 + i**2 + (0*i + i - 2*i)*(-1 + 2 + 0 - i**3))*(-3 + 1 + 3)*(-7 - 2 + 2).\nAnswer: -14*i**4 + 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-42 + 54) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 269798257 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/385476 and 74\/10647?\nAnswer: 15033564","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 5*t - 13, -3*t + 34 = 4*r - t. Solve -3*m + 0*m + r = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i + 5. Let n be x(-4). Let f(h) be the second derivative of -4*h**3\/3 - 21*h**2\/2 + h + 137. Let m be f(n). Solve m*k - 10 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 8, -2*i - 3*i - 5*b + 25 = 0. Let f(h) = 0*h**2 + h**2 + 16*h - h**2 + 3 - h**2. Let r be f(16). Solve i*z + 4 = r*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - (1 + 2))*-33. Let f be 1 - 0 - 2 - -10. Calculate the highest common divisor of d and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 14 - 68 = 2*r, 61 = -r + 5*i. Let u be 2\/(-3)*r\/8. Suppose w + 0*w - 14 = b, -u*b + 18 = 3*w. What is the least common multiple of 8 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of 19*k**4\/24 + 5*k**3\/3 + 19*k**2. Find the first derivative of h(l) wrt l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 80 and 20500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -91\/23 or 1?\nAnswer: -91\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 607*d - 17 - 17 + 37.\nAnswer: 607*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 793728 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 75478*n**3 - 7573*n + 2?\nAnswer: 452868*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 414 (base 6) to base 12.\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18187 is divided by (-1)\/(-8)*(1461 + -29) + -9?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 30 = -31 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (66\/40)\/3 + 5907\/132 + -45\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y + 17 - 2*y - 2*y + 2*y. Calculate the common denominator of -89\/2 and h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 371*s**2 + 370*s**2 - 14 + 14 - s**3 - 745*s**2 + 3*s**3.\nAnswer: 2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*u**3 + 4*u**4 + 15*u + 11*u - 18*u - 4 + 16 - 16*u**2.\nAnswer: 4*(u - 3)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**3 - 469*h**2 + 487*h**2 + 2*h**3.\nAnswer: 2*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2178 and 4149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33600026*z**5 + 62288750*z**2?\nAnswer: 2016001560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 12:15 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 274*d - 174*d - 1515*d - 1949*d in the form y + l*d and give l.\nAnswer: -3364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13139115?\nAnswer: 3, 5, 11, 79631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/210 - 4\/(-14).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -5*h**3\/3 + h**2 + 3. Let n(j) = 26 + 32 - j**2 - 58. Let l(q) = -6*n(q) + v(q). Calculate l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2714264 and 42503.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -385*s + 378*s - 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 9:27 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 0, -11 in decreasing order.\nAnswer: 8, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78666.\nAnswer: 2, 3, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 719 = 5*h + 264. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -152*y**6 - 3*y**5\/5 - y**4\/2 + 100*y**3 - y**2\/2 + 3945. What is the third derivative of w(x) wrt x?\nAnswer: -54720*x**2 - 72*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 3*m = -804, 4*z = -10*m + 7*m + 654. What is the remainder when z is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -36 - 7 + 207*d + 33*d**2 - 210*d + 0 in the form s + u*d**2 + t*d and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -4. Suppose t*d - 40 = d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/11, 0, 5, -3\/5, -5\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from soososososoososossss. What is prob of picking 2 s?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*g - 19*g = -354 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52142185697*a + a**2 + 52142185697*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/10*(-21620)\/(-9729)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20644691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -4\/3  (b) -7\/8  (c) -99  (d) -5  (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 212 = -16*b + 180 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/((m*m**(-4)*m)\/m)*m)**(2\/7))**(-2\/111)\/((m**(-9)\/m)\/m*m\/((m\/(m\/(m*m*m**(3\/5)*m*m)*m*m))\/m*m)*(m*m**(-1\/2))**(-48)) assuming m is positive.\nAnswer: m**(142091\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of 3*g**5\/40 - g**4\/3 - g**3\/3 - 7*g**2\/2 - 1. Let h(z) be the second derivative of t(z). Factor h(x).\nAnswer: (x - 2)*(9*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1439 + 1509. What are the prime factors of k?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 700 = -5*c + 240. Let q = c + 52. Let w = q - -42. Solve 4*x + 16 = -2*v, -2*x - w*x - 4*v - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 51 + 47 = -3*u, 2*u = -7*f + 41 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -988*u**2 + 668*u + 6888.\nAnswer: -4*(u - 3)*(247*u + 574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.0773 * -11.18\nAnswer: -0.864214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5194)\/(-42) + (-6)\/9?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1748.23055 - 1746.65054919. Let h = -1.58 + p. What is h rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 101544*f**2*u**3 + 12*f**2*u - 307*u**3 - 72*u**2 - 8*u wrt f.\nAnswer: 203088*f*u**3 + 24*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 17, i: 2}. What is prob of picking 3 q?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 - (-120 + 319) - (-5 + 4 + -5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, b: 2}. Give prob of picking 2 b and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 31900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -443*h - 71. List the prime factors of d(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 23*o - 12. Let p be b(16). Suppose -85*n + p*n = 60. Let j be (20\/15)\/((-4)\/(-6)). Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxjo when four letters picked without replacement from {j: 2, o: 1, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -409.8 + 410. What is the closest to -2\/7 in u, 2\/7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -5. Let y = 3 + b. Solve y*z = 2*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-1))\/(((-12)\/(-4))\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -2 + 29172\/(-357) + (-63)\/49?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 118*y - 18. Let i be w(12). Let t be (i\/(-9))\/(4\/(-6)). Suppose -b - 3*b + 318 = 3*n, 3*b - t = -5*n. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 + 7. Let q = x + 2. Let a be (-6)\/(-27) - (-40)\/(-585). Is a >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-18 + 4 + 4)) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60140 is divided by 28421?\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 15, -15 = 8*q - 7*q - 3*h. Suppose q = -15*v - 3*v + 5760. Calculate the greatest common factor of v and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 8. Solve 0 = 3*v + i - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-8)*u)\/u*u**1)**(-11\/5))**(2\/53) assuming u is positive.\nAnswer: u**(154\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000562 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + 4 - (-5 - -21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -42*v - 3826. Let p be o(-95). Solve 80 = 21*q + p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -104, -390, -856, -1508, -2352, -3394, -4640?\n\"Answer: -q**3 - 84*q**2 - 27*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -93 + 559\/6. Let g = -1.9 - 0.1. Is g > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7898 - 5*x**2 - 7898.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.00389548 * -0.4.\nAnswer: -0.001558192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 4*j - 56, -2*j = 2106*k - 2104*k - j - 59 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -312422, 0 in ascending order.\nAnswer: -312422, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -358 in -3, -4\/5, 2\/7, -0.1, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (16 - ((11 - 0) + -19))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/2))**(4\/3))**(-24) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -38*c**3 - 17*c + 18. Let m(k) = 13*k**3 + 6*k - 6. Let v(l) = -17*m(l) - 6*u(l). Differentiate v(f) wrt f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-9) + 0 + -1. Let g = -7.446 + 7.4. Let c = g + -0.154. What is the third biggest value in c, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -12013112213?\nAnswer: 12013112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2. Let p(u) = 465282*u**2 - 3*u - 7. Calculate p(l(b)).\nAnswer: 465282*b**4 + 3*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 2\/(-1)*-1. Let k(w) = 14*w**y - 24*w**2 - w**3 - 2*w + 13*w**2 + 1. Give k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 476126 is divided by 278.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22185*f - 22195*f + 2*f**2 + 44374*f.\nAnswer: 2*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-3\/2)\/n)\/n)\/n*n\/(n**(-3\/2)*n))\/((n**(2\/19)*n*n)\/(n\/(n\/(n*n\/n**(-2\/9)))*n))*((((n\/(n**0\/n))\/n)\/n)**(17\/2))**(-8) assuming n is positive.\nAnswer: n**(-322\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 1 = -4*i - 7, 4*i - 3*l + 8 = 0. Let w be (-2)\/i*(-14)\/(-1). Let v = w + -6. What is the remainder when 15 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32c1 (base 13) to base 3.\nAnswer: -100201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2313 and 325619?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(1\/10)\/d**(8\/5)*d**(-15)*d**(-7\/2) assuming d is positive.\nAnswer: d**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 21 - 1. Suppose z + z = h. Suppose -z*r = 4*a - 57, -r - 12 = -3*r + 2*a. Calculate the smallest common multiple of 3 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -40 in -1\/4, 0.0327, -0.57, -2\/5?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/7, -5, 0.4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8578.898 litres in millilitres?\nAnswer: 8578898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 246726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -7*p**2 - 12*p - 10. Let r be v(-10). Let d = -105 - r. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + z - 2*z + 14, -3*z + 10 = -r. Solve -r*y + 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 512*s + 39 = 499*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -133 - -134. Is c greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24228 is divided by 3458?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c0ab (base 16) in base 3?\nAnswer: 12211120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -3. Let l be 26 + (-1 - -1)\/j. Let q be -1 - 8\/6*(-138)\/184. Solve 4*x = -0*a - 2*a - l, q = -a - 3*x - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 5236.902 decades?\nAnswer: 52.36902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 467.2858t in milligrams?\nAnswer: 467285800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/6, 0.08787, -3, -0.06?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 2. Let t be (-2)\/(-12)*3*-2. Let y = -2.6 + 2.3. What is the nearest to w in -5, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 + (36 - 16) + 17 - -31.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5993540 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1955569404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d**3 - 104*d**2 - 110*d + 945. Calculate u(53).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w**3 - 9*w**2 - 2*w + 1. Let c be t(-2). Suppose -c + 11 = 5*q, 5*f - q = 23. Calculate the smallest common multiple of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -10.6\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(1008) + -1) + -3 + -5)*-5)**2.\nAnswer: 7200*sqrt(7) + 907300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -132 - -208. Calculate the remainder when z is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fourty-six fifths of a hour?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((3 + 0)\/(-6)). Suppose 0 = -m + 2*b + 15, 0 = -s*m + 4*m - 2*b - 20. Suppose -5*u + 3*t = -10 - 9, -4*u = -m*t - 10. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 254*u - 298*u + 175*u.\nAnswer: 131*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41489471 is divided by 487.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + 20*i**2 - 90*i - 59. Give s(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 280\/213 - 46\/71. Is j at most as big as -6.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5386497341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 829, 821, 803, 775, 737, 689, 631?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2744*q - 10 + 10 + 4376*q + (7 - 2 + 1)*(-3*q + 6*q - q) to h + g*q and give g.\nAnswer: 1644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17 and 581121353?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 945491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = -8*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 0*l = -312. Let m be 7 + -5 - (l - -1). Suppose 90 = 5*a - 2*y, 5*a - m = -0*y - y. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1161 and 1215.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4*u**2 - 4*u**2 + u**2)*(0 + 0 + 2*u**2) - 274*u + 54*u**4 + 274*u)*(-2 + 0 + 1) to q*u**2 + w*u**3 + k + t*u**4 + d*u and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4*s + 733 = 0, -2*i = 5*s - 149 - 131. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 337193384 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.5  (b) 45\/8  (c) -5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54165 and 119715.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 3:37 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -5. Suppose m + a*m = 0. Let p = m + 6. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 81 + -66. Suppose -31 - j = -o. Suppose 4*n - 184 = s, 2*n = -3*s + 152 - o. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b516a (base 12) in base 3?\nAnswer: -2022121101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 980 = -d. Suppose 8*r - 3*r = d. Suppose w = x + 13, 2*x = 4*w - 3*x - r. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 9. Do y and 3\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.2 minus 405?\nAnswer: -386.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 9:32 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**5\/13 - 66706*k**4 + 9539224*k**3\/13 + 10406400*k**2\/13 = 0 for k.\nAnswer: -433600, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 449 divided by 34647?\nAnswer: 449\/34647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 166, -3\/31 in decreasing order.\nAnswer: 166, -3\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7888.745636 rounded to the nearest 100?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 + 11*n - 15. Let z be x(4). Let f(r) = -3 + 1 - 8 + r**2 - 12*r. What are the prime factors of f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9535633 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6003 and 897.\nAnswer: 78039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -9*f**2 + f - 1. Let a be o(1). Let p(q) = -7*q. Let h(j) = -11 - 29*j + 23 - 12. What is a*p(i) + 2*h(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 218007 (base 14) to base 4\nAnswer: 10111112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*x + 0*x - 7*x to p + i*x and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 14\/(-2) + 56\/14. Let m(u) = u + 12. Let k be m(-11). Let q be k\/((-126)\/45 - (j - 0)). Solve -3*b - 10 = -q*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3825955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 69 - 4*y**3 + y**4 + 18884*y - 18888*y to k + i*y**2 + a*y + r*y**3 + s*y**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149 + 891 + 309 = -71*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 4 - 5)*((0 - 2*x + 0)*(-1 - 2 + 5) - x + 3*x - x) + (17 - 8 + 7)*(0*x + x - 4*x)*(-1 - 1 + 0) to t + q*x and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -m + 4 - 2, -8 = -m - 5*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*a**4 - 4*a**4 + 3*a**4)*(-20 + 35 + 71).\nAnswer: 430*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3531408?\nAnswer: 2, 3, 73571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17747975 divided by 2.\nAnswer: 17747975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*4\/168*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 43369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6821102269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + 12. Let r be y(0). What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29 + 29. Put q, 0.3, 8 in descending order.\nAnswer: 8, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -396881*q**3*z - 612*q**2*z - 184563140*q*z - 3*q wrt q?\nAnswer: -2381286*q*z - 1224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3154029.\nAnswer: 3, 47, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -b**2\/2 + 1413*b\/2 + 87039 = 0?\nAnswer: -114, 1527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -61*k**6 + 83*k**5 - 51*k**2 - 4?\nAnswer: -7320*k**3 + 4980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((2*sqrt(45) - sqrt(45))*3 - sqrt(45)))\/(-5*1*sqrt(225)).\nAnswer: -2*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 30*v**2 - v - 1. Let g be k(-1). Let c = -23 + g. Suppose -c*r = -221 - 3. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence okkk when four letters picked without replacement from ovvkkvookkooo.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(234)*-2)\/sqrt(2))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 + 4*u**2 + 3*u + 1. What is the units digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3935?\nAnswer: 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00197531 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c + 2*c - 3*c)*(295 + 2*c - 251 - 192 + (46 + 22*c - 46)*(6 - 3 - 2)) to d*c**2 + u + b*c and give b.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6c20d56 + 5?\nAnswer: 6c20d5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.7 + 3.7. Let q = 0.4 + -0.5. What is the second smallest value in -1\/4, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.94 * -0.019\nAnswer: -0.01786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 96 = -6*c. Let d = 3179 - 3148. What is the remainder when c is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 0*h**4 + 2\/3*h**3 + 0*h - 9 + 0*h**2 + 13\/5*h**5. Find the third derivative of b(d) wrt d.\nAnswer: 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15302 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 2*r - r + 3*f, f = 2*r - 51. Let z = r - 17. Suppose 2*v + a + 14 = 0, -5*v - 3*a + 7*a - z = 0. Put 0, v, -2 in ascending order.\nAnswer: v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 s, 1 p, and 1 n when four letters picked without replacement from {d: 2, n: 4, p: 2, s: 1}.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6686\/(1*3*-1). Let j = -2187 - a. Let r = -41 + j. Sort r, 2, 6\/7.\nAnswer: r, 6\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.72592719 to 3 decimal places.\nAnswer: 2.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 53987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c - 12 = -54. What is the third smallest value in -26, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*s**4 - 3*s**5 + 33 - 33 + (2*s**2 - 3*s + 3*s)*(-2*s**3 + 2*s - 2*s).\nAnswer: -7*s**5 - 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(98)\/sqrt(28) - sqrt(56)\/sqrt(4)*-6)\/(sqrt(2) + -5*sqrt(50) + (sqrt(18)*2)\/sqrt(9)).\nAnswer: -13*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (93\/(-6944)*8)\/((-4)\/((-64)\/54))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11\/6, -1, 9, 0.11, -1174.\nAnswer: -1174, -11\/6, -1, 0.11, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 3 = 0, 2*u - 85 - 62 = -3*v - 204 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(15)\/sqrt(3) + sqrt(5))**2 + -5.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -137.36 - -1.36. Let p = -155.1971 - -19.1686. Let a = p - j. What is a rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, f: 6, v: 3, h: 1}. What is prob of picking 4 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5*14\/224*144\/(-24)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 1524*w - 79. Let y(g) = -254*g + 14. What is 4*v(u) + 23*y(u)?\nAnswer: 254*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 13*z = 320. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 347\/305 - 45\/61. Let j = -10.9 - -10.979. Is j >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 4*z = 6, 10*o - 15*o + 4*z + 22 = 0. Suppose n + 2*j + j = 6, -2*n = 5*j - 10. What is the units digit of 5*o - n\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/312 and 11\/8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + -12012?\nAnswer: -12004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 327, 1128, 2397, 4080, 6123, 8472?\n\"Answer: -9*d**3 + 288*d**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 287 - 172. Let v = j - 110. Solve 3*m = v*h + 21, -4*h + 5*m - 1 - 21 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61950 divided by -59.\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d + 6. Let q be r(6). Let w = 0 - q. Suppose w = -3*m + 7*m + 3*p - 8, m = -4*p + 2. Solve 2*h - 2*a - 6 = 0, -m*h - 12 = -h + 4*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 - 33. Let p(d) = 8*d**2 - 2*d + 6*d**c + 41 - 40. Determine p(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4235*j + 171933 - 23708 = 0 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 15) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1434424 (base 5) to base 15.\nAnswer: 910e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 57\/784 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 - 6*k - 4. Let a be l(-3). Suppose 1 = j - s, 17 = a*j + s + 6. Let n = -38\/3 - -13. Is n less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*i - 3. What is the units digit of (i + -3 + 11)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 4*n. Let i be m(4). Let x be (2 - 1)*i\/3. Suppose -2*v = -2*o + 60, 4*o + v + v - 120 = x. Calculate the greatest common divisor of o and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -153 - -426. What are the prime factors of l?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 147 + -145. Suppose -t = 2*j, 4*j - 5*j = -y + 40. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -17*a - 20. Let w(h) = 5 + 13*h**3 - 2*h**2 - 4*h**3 - 4. Let l be w(-1). What is the tens digit of b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.56  (b) -0.4  (c) -0.09  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 469, 471, 473?\n\"Answer: 2*c + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*m + 0*m - 2*m)*(-1 + 1 - m) + 0*m**2 + m**2 - 2*m**2 to the form x + b*m**2 + h*m and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2 - 18)\/(-4))\/1. Let i(v) = -3 - v + c*v + 13. Calculate the remainder when i(8) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u**4 + 0 + 8*u**3 + 26*u + 19 + 0*u**2 - 30*u - 4*u**3 - 2*u**2 as z + a*u + o*u**2 + h*u**4 + w*u**3 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*70\/(-125))\/((-203)\/(-290))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 127*h**2 + 1062*h + 118125. Determine i(-126).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16.3 + -83.7. Let j = -99.8 - d. What is the closest to j in -3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 905719 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -249.04 - -249. Let j = -1.6 + 6.6. Let v = -6.4 + 6. Which is the second biggest value?  (a) g  (b) j  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -175 - -283. Calculate the greatest common factor of p and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1788)\/(-893) - -1*(-2)\/1. Let q = d - -13339\/25004. Calculate the common denominator of 37\/16 and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 35 in 2\/7, 8, -2.8, 2, -7\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-10) - (-138)\/30. Suppose -n*a + a - 8 = 0. Is ((-6)\/(-10))\/(a\/(-50)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6012 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 2*z - 2*z)*(23 - 76 - 6) + (-z + 0*z - z)*(z + 0*z - 3*z) + 2*z**2 + 1 - 1 + 0*z**2 + z**2 + z**2.\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o + 12. Let b be i(5). Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yaacacccaazaycaa. Give prob of picking 1 z and 2 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -99.43 + 67.43. Suppose 0 = -4*m + 6*m. Suppose -3*d + m*d = 0. Are u and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 3*z + 1 + 1 - 1 - z - z**2. Let o be (-3)\/(-2)*(20 + (15 - 33)). Calculate s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**16*a*a**(2\/3))\/(a**(-6))**(1\/7) assuming a is positive.\nAnswer: a**(389\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -4*a - 17, 0 = 2*k - 653*a + 651*a + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 742 divide 6487597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*q*v**2*z**3 - 810*q*v**2 + q - 188*v**2*z wrt z.\nAnswer: 9*q*v**2*z**2 - 188*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 105*x + 2719. Determine j(51).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 AM and 12:51 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 18. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -38*k - 222. Let z be l(-6). Solve -2*d = -z*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from zpfbw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75 and 16039525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1598\/3 - 532. Which is the third smallest value?  (a) j  (b) -1  (c) 8\/7  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 15. Let o(y) = -7. Let j(n) = n + 13. Let r(b) = 6*j(b) + 11*o(b). Let q(d) be the first derivative of -7*d**2\/2 - d - 1. Determine a*r(v) - 5*q(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.5 + 6. Let p = z - 3. What is the closest to -0.1 in -3\/5, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.61 and 546.4.\nAnswer: -333.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y - 6. Let x(j) = -3*j + 9. Let r(a) = 4*a - 10. Let f(w) = 4*r(w) + 5*x(w). Calculate -4*c(t) - 5*f(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 - o**2 - 15*o + 10. Determine d(-7).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136722 = -4*g - t, 0 = 6*g + 9*t - 8*t - 205080. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4\/3, -0.128, 0.3, 4708\/27, 3\/7?\nAnswer: 4708\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/66528 and 103\/2376.\nAnswer: 66528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -1. Let f(y) = -2*y**2 - 49. Calculate f(b) + 6*j(b).\nAnswer: -2*b**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 38302 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.6 or -0.059?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 221 times -4.3?\nAnswer: -950.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42 + -15. Let o = -7285.8 + 7286.8. Is o not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 0 + 0)*((2 + 0 + 0)*(4 + 0 - 3) + (1 - 1 - 2)*(-34 - 17 + 8)).\nAnswer: 176*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -16, -3*r + r - 10 = -z. Let h be -1 - (-1 + (r - -5)). Let a be h\/11 + (-106)\/22. Put 0, -2, a in descending order.\nAnswer: 0, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12\/7*a**2 + 2\/7*a**3 - 16\/7 + 24\/7*a = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22 - 14*z**4 + 22)*(170 + 5 + 49).\nAnswer: -3136*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 100253207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - ((-3996)\/234)\/6. Sort -4, 2\/3, 2\/991, -2, z.\nAnswer: -4, -2, z, 2\/991, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 11:33 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**(1\/2))\/m)\/(m**13\/m*m))\/((m**12*m)\/m*m**(-15\/2)) assuming m is positive.\nAnswer: m**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(60)\/sqrt(3)*-1 + sqrt(20))\/(-1*sqrt(200)))\/(-2*sqrt(128) - sqrt(8)\/(sqrt(4) + sqrt(4) + sqrt(4)*1 + sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and 907871534.\nAnswer: 907871534.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.21 in 2, -3, 584\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 10*i = 5*i + 17, 4*l - i + 11 = 0. Is -5\/8 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 - -10. Let c = r - 2. Does 31 divide (27 - -2) + c\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -228 + 246.7. Let u = g - 17. Let c = u - -1.3. Sort c, -1, 1.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -43 + 214*x + 313 + 223 wrt x.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -671803 - -44803. Round x to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 40115\/9 or 4457?\nAnswer: 40115\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 8:22 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*g + 160 = 0. Let r be (-22)\/(26 + -4) - 84\/(-1). Let x = r + g. Solve 3*i = 4*d + 8, -7*d + 3*d - 32 = x*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 3*x**2 - 4*x - 6. Let d be o(5). Suppose i = l - 0*l - 6, -5*i = l + d. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 579.8 + -608. Let s = -28 - w. Let h = -2 + 0. Which is the closest to 2\/13?  (a) s  (b) h  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1642327.461 - -1641420. Let v = 907 + g. Round v to 2 decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 + 11*b + 7. Suppose -3 = -3*x - 36. Let u = -1 - x. Is 4 a factor of t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/5  (b) -2\/9  (c) -178  (d) 5\/18  (e) -0.5  (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 r when three letters picked without replacement from {r: 2, t: 1, c: 2, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88 divided by -402090.\nAnswer: 44\/201045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1262 * -1016.\nAnswer: 1282192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 2*s**2 + 5*s - 63. Is 24 a factor of g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 4*c = 1394, -c + 1481 = 3*x - 605. Suppose -x = -2*m - 193. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 7*y**2 - 7*y + 10. What is t(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, z: 1, o: 6, a: 7, t: 4}. What is prob of sequence tta?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/1769 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.155*0.25.\nAnswer: 0.03875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2186285 and 10591.\nAnswer: 15303995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*m = 2*m + 14, -2*m = 10. Let w = r + 0. Solve 4 = w*p - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of c**3\/3 + 13*c. Let h be i(-1). Let p(m) = -2*m**2 + 2*m - 2. Let b(o) = o**2 + o - 1. What is h*b(w) + p(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266419?\nAnswer: 263, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 211, 422, 633, 844?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 11:56 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1684647 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9322 - -1?\nAnswer: -9321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-25))\/((-66)\/10 - -6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4312 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-1) + ((-45)\/(-3))\/(-1). Let t = a + 17. Suppose -u - t*r - 13 = 0, -3*u + 2*r - 4 = -5*u. Are u and 7 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d - 2 = -8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 8 = k + k, -2 = 3*k + 2*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7.105427t?\nAnswer: 7105427000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (80\/60)\/(2\/175206). Let r = g - 2226804. What is r rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -18*q**2 - 257*q - 14. Determine x(-15).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 114*x**2 - 416*x**2 - 103*x**2 + (-3*x + 4*x - 3*x)*(0*x + 0*x + x) + (-4 + x + 4)*(5 + 5*x - 3 - 8*x).\nAnswer: -410*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 80516 divided by 4\nAnswer: 20129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1034339 to the nearest one thousand.\nAnswer: -1034000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - r + 18 = 3*f, -2*f - 8 = -3*r. Let u = 0.74 - 8.54. Let l = 8 + u. What is the nearest to -2\/3 in l, f, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3.9623 from 359.72.\nAnswer: 363.6823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8253764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 161882651 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.02  (b) 0.55  (c) -9  (d) -0.5  (e) -101  (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1060 is divided by 217?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108451.\nAnswer: 7, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**2 + 3*y**2 - 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 990640, 1981262, 2971884?\nAnswer: 3962506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6.9 and -79144.\nAnswer: -79150.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) - 1*sqrt(20))\/sqrt(5))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/66)\/((-12)\/72*2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 8*o**2 + 4*o + 18. What is c(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 PM and 1:40 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0373 + 0.1073. Which is the second smallest value?  (a) 3  (b) i  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155387069.\nAnswer: 61, 223, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/327, 625, -0.127 in descending order.\nAnswer: 625, -2\/327, -0.127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(15\/(-10) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -948 and -23.52.\nAnswer: 22296.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12 - (12 + -14)*5. Let h(w) = w - 15. Calculate h(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**3 - l**2 - 151*l.\nAnswer: 12*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 0 = a. Let f(j) be the first derivative of 5*j**2 - 6*j - 2. Let u = 17 - 15. Let i(v) = -3*v + 2. Determine a*i(n) + u*f(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*v**2 + 21*v**2 - 7*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -6. Suppose o*d + 90 = 7*d. What is the greatest common divisor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -138 + 137.99999404. What is i rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 5 - -1) + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 6. Let c(z) = x*z**2 + 5 - 3 - 3*z**2 - 6 - 5*z. Let r be c(-3). Sort 5, 0.3, r in decreasing order.\nAnswer: 5, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14652087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p**3 + 24*p**2 - 15*p - 14. What is the hundreds digit of w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1584068 is divided by 93176.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -x, 0 = -3*m - 4*x - 1879 + 1869 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 14 - 6 = -5*i, -5*d + 3*i - 10 = 0. Suppose 2*g - 2 = -g - 2*r, -4 = 4*g - 4*r. Let n = g - 4. Sort n, 2, d in descending order.\nAnswer: 2, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4))**(-1\/6)\/(n*(n\/((n\/(n\/n**(-2\/15)))\/n))\/n)**(-23) assuming n is positive.\nAnswer: n**(746\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2024 + 72405?\nAnswer: 70361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 71307722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by 46634949.\nAnswer: 17\/46634949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2198 + -1236. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j + 4*y + 22, 4*j + 37275*y = 37272*y - 127 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4449 by -61.\nAnswer: -4449\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4650000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38.8 - 0.8. Let g = 35 - c. Put 0.3, g, -3\/7 in increasing order.\nAnswer: g, -3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - 6*j - 5. Suppose 20 = 11*r - 7*r. Suppose 8 = -2*s - 2*y, 0 = s - r*y + 7 + 3. Let k be u(s). What is k rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*i - 18*i - 10*i + 15*i - 11*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 567\/42*2\/(4*-3)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6572*i**3 - 10*i**2 + 1579*i**3 + 10*i**2.\nAnswer: -4993*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -13*f + 687. Determine h(41).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*y - 103*y - 4*q = -874097, -2*q = 4. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19713890597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -9*f - 34. Let r be n(-4). What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e + -26?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 27 = 3*n - 5*n, -2*n = 8. Let f be (-72)\/126 + 4\/q. Solve 5*h + f = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/11  (b) 3\/5  (c) -3  (d) 1\/122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(3 + 34\/(-12)). Let d be 446\/q + (-6)\/(-45). Let v be (d\/1 - -1)*1. Calculate the highest common factor of 176 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/17)\/((-60)\/510)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 214217920 to the nearest one hundred thousand.\nAnswer: 214200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (11*r - 89 + 89)*(5*r + r - 3*r)*(-2*r - 4*r + 0*r + (-2 + 1 + 0)*(-r - 2*r + r) + 4 + r - 4) in the form b + d*r**3 + l*r + u*r**2 and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*f**5*k - 204*f**4*k + 61*f**3*s - 2*f**2*k*s - 23*f**2*k - 2*f**2*s - 2*f**2 + 10*f*k*s + 14*f - 85*k*s wrt f?\nAnswer: 360*f**2*k - 4896*f*k + 366*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -26 + 2402?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29640 + 33516. What is the greatest common factor of 1632 and l?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(448) - 6*sqrt(448)*-3)**2.\nAnswer: 161723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1473, -4669, -7817, -10917, -13969, -16973?\n\"Answer: 24*i**2 - 3268*i + 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19343 and 9712709?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 6*i**2 + 1217. Suppose 3 = -10*j + 3. Is q(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/8922640 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 2264?\nAnswer: 225e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggggggggg. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of -3*l**5\/5 - 3*l**4\/2 + 7*l**3 - 6*l**2 + 7. Let c(n) = 0. What is n?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.2 and 1.029.\nAnswer: 1.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of 7*p**5\/90 - 61*p**4\/36 - 2*p**3 + 29*p**2. Factor z(x).\nAnswer: 2*(x - 9)*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43367*k**2 + 108*k**3 - 42 - 2*k - 43366*k**2 + 4*k wrt k?\nAnswer: 648*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 37*i**2 + 14. Let k(s) = -24*s**2 - 9. Let t(u) = -8*k(u) - 5*y(u). Let h(j) = j**2. What is h(t(q))?\nAnswer: 49*q**4 + 28*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -584 = -3*h - 2*t, -22*t + 26*t + 20 = 0. Calculate the highest common factor of h and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, k: 1}. Give prob of sequence ek.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 114 - 8\/20*5. Let p be ((-88)\/12)\/(2\/(-3)). Suppose -5 = -g + p. Calculate the highest common factor of g and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 4:27 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 99.00000134 - 99. Round b to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-10))\/(53\/(-4505))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b - 10 + 38 = 0. Suppose -1030 = -4*a - b*x, 3*x + 608 + 447 = 4*a. Let w = a + -2597\/10. Is w bigger than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*k + 19*k**2 + 166*k.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/((-35)\/(-2))*7\/15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - -3078919262780\nAnswer: 3078919262780.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003485894 to six decimal places.\nAnswer: -0.003486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v**2. Suppose -6 = -22*c + 19*c. Let q(a) = -59*a + 59*a + 6*a**c. What is g(q(o))?\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 14*a + 6. Let l be v(0). Suppose 5*g + 4*i - 11 = 0, -5*i - 6 = -1. Suppose -g*y = f - 226, l*f + 202 = 3*y + f. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -176659*j**5 + j**2 - 4835*j - 505 wrt j?\nAnswer: -10599540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3326441 divided by -4\nAnswer: 3326441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 1197 divide 715211091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + 251428278832?\nAnswer: 251428278831.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**5 - 7619592*u**3 + 2*u**2 + 214292.\nAnswer: 60*u**2 - 45717552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**6*o))**(-3) assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((f + 8 - 8)*(-4 + 2 + 0) - f - f + 5*f)*(-14*f**2 + 14*f**2 + 2*f**3).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 134264.4ns in minutes?\nAnswer: 0.00000223774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 347 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -5. Let i(b) = -3*b**3 + 6*b**2 + 31*b - 4. Let u be i(5). Let k = -70 - u. Put k, y, -3 in ascending order.\nAnswer: -3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1247, 2495, 3747, 5003, 6263, 7527, 8795?\n\"Answer: 2*o**2 + 1242*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 7, -87, -35\/4 in decreasing order.\nAnswer: 7, -0.3, -35\/4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**3 + 9 - 9 - 27*h + 233*h.\nAnswer: -2*h**3 + 206*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 795 - 667. Suppose 0 = 2*l - 4*l - 8, -2*l - y = -5*s. Solve 7*j + s = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 296*x**2 + 896*x - 215. Determine u(-299).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -36*i**2*k**6 - i**2*k**5 + 2*i**2*k - i**2 + k**2 wrt k.\nAnswer: -4320*i**2*k**3 - 60*i**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -42?  (a) -6  (b) -0.3  (c) -0.4  (d) -21\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {d: 1, v: 1, s: 11, y: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.0326727587619 and -0.2.\nAnswer: -0.1673272412381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 3*i - 5, -4*i + 17 = -3. Let s be (-6)\/c*(1 + (-14)\/6). Put -1, -4, 0, s in decreasing order.\nAnswer: 0, -1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**5\/7 - 1275*x**4 - 6651345*x**3\/7 - 19900515*x**2\/7 - 19882680*x\/7 - 6624588\/7.\nAnswer: -3*(x + 1)**3*(x + 1486)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of 1\/10*q**5 + 0*q**4 + 0*q + 0*q**2 + 0*q**3 - 39. Determine o so that a(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -11*((-54)\/24 - 1)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2425923 * 3.\nAnswer: 7277769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186 and 47244?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4030565 + 10830565. What is z rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.2 times 0.08028\nAnswer: -0.176616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**3*w\/(w*w*w**17*w))\/(w\/(w**(-15)*w)*w\/(w*w**25*w)) assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 133*r - 397*r - 2376 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20003 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.01 + 0. Let j = -206.99 - -205. Let u = t + j. Is u greater than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 51689, -0.5 in decreasing order.\nAnswer: 51689, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3721.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-15)\/(-20) - (-1)\/4. Let d = 5 + x. Let a be (d\/(-5))\/(4\/(-10)). Sort 1, a, 2 in descending order.\nAnswer: a, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2103*o - 2293*o - 3610 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/9)*j**0)\/(j**(-2))**(5\/7)*(j\/(j*j\/j**(-10))*j*j*(j\/j**(-2\/15))\/j)**19 assuming j is positive.\nAnswer: j**(-52477\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103256 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 214762 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 5*a**2 + 8*a + 9. Let m(z) = -27*z**2 - 40*z - 46. Let s(i) = -11*h(i) - 2*m(i). Calculate s(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -135, -336, -685, -1230, -2019, -3100, -4521?\nAnswer: -6330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 13\/3, 8, -5, -1, 2\/13, 1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 11 = -b, 5*b + 14 = -2*s + 3*b. What is the third smallest value in 6\/5, 0.2, s?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 - 50*d**2 + 89*d + 345. Calculate c(48).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9050 + -10650. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d**2 + d + 1. Suppose 0 = 3*q + l - 16, -2*q + 12*l - 17*l = -41. What is g(q)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -2. Let r(f) = -f**3 - 5*f**2 + 5*f + 10. Let h be r(-7). Suppose 4*n - 3 = h. Calculate the remainder when n is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 679 - 702. Suppose 32 = -32*x - 32. What is the closest to 5 in x, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.4 - -0.4. Let m = 0.27 + -4.27. Which is the closest to d?  (a) m  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 628*z + 6275. Let t be x(-10). Sort 41, 4, -2, t, 5 in ascending order.\nAnswer: t, -2, 4, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14462617 * -0.5\nAnswer: -7231308.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 - 2*q + 10. Let t be m(-4). Let f be 21 - 19 - (-8)\/t. Suppose -i - f = -u - 27, i + 5*u + 9 = 0. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.91 + 1.9103622. What is g rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/6 + 1 - 1776\/(-144). Solve 17*h - 20*h - c = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2005, 8025, 18059, 32107?\n\"Answer: 2007*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4116.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 4*x = -52, 0 = -9*g + 1589*x - 1585*x - 164 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1728 is divided by 707?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4757*g + 2373*g - 2 + 28384*g**2 + 2384*g to the form k*g**2 + n + f*g and give k.\nAnswer: 28384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 0.3  (b) 4  (c) -3  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1320.064 and -55280.\nAnswer: -53959.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jja when three letters picked without replacement from jajaj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 29 - (-1 - 0)\/1. Let b be 120\/55 + 2\/(-11). Solve 5*m = 5*f - 0*m - z, -b*m - 24 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/32?  (a) -0.02  (b) 1\/12  (c) 0.5  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5733857628?\nAnswer: 2, 3, 4259, 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 1529976525.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 8. Let f(l) = l - 3. Let q be f(j). Suppose -q*u = -3*n - 1, -u - n + 5*n = 10. Which is greater: u or 6\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -3. Is (c\/6)\/(2\/(-84)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -73  (b) 0.4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 0.2, 21, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*b**6 - 5*b**4*f**2 - 2*b**4*f - 2*b**2*f**2 + 32*b**2 + b wrt b.\nAnswer: 960*b**3 - 120*b*f**2 - 48*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(171) + -2)**2 + (sqrt(931)*-1)**2 - (3*-2*sqrt(19) + 4*(-2 + sqrt(19)))**2*6.\nAnswer: -204*sqrt(19) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/1112 and 121\/1668.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16239199.\nAnswer: 17, 83, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**24)\/c*c**(1\/7))\/(c\/(c\/(c**16*c)*c))**(43\/4) assuming c is positive.\nAnswer: c**(-1035\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 9*l**2 - 9*l + 12. Let g be m(8). Let o = 5 - g. List the prime factors of (-2)\/2 - (-12 + o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/(-8)*26\/3. Let s = t + 44. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 96421868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**3 - 3*z**2 + 3*z**2)*(2*z - 1 + 1 + (z + 1 - 1)*(-3 + 3 + 1)) + (2 - 2 + z**3)*(3*z - 2*z - 3*z).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35155181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/319, -3\/2, -6, -5, 3\/2, -11 in ascending order.\nAnswer: -11, -6, -5, -3\/2, -6\/319, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 13) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 8:33 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/3 + (-28)\/(-588).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138003 is divided by 3396.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 75 + 67 + 18*d - 2 - 2*d with respect to d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of 1\/2*z**4 + 0 + 0*z**3 + z + 0*z**2. Let y(b) = 13 - 10 + b - 3. What is f(y(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 243898?\nAnswer: 2, 121949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -3*n. Let u(c) be the third derivative of c**5\/20 - 20*c**2. What is u(h(i))?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 536623747 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {t: 9, f: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -9*y + 1. Determine g(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -85506 or -85538?\nAnswer: -85506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 1 - 7 + 6*d + 0*d**2. Let z be g(4). What is the second derivative of -z*f - 3*f**4 + 8*f**2 - 8*f**2 wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 24 = 3*x, -3*b = -3*x - 0*x - 24. Let v = x + 8. Let w = 7 - v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.9 - 6.9. Sort a, 0.4, 4\/7 in decreasing order.\nAnswer: 4\/7, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47806, 47755, 47704, 47653, 47602?\nAnswer: 47551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -2. Suppose 2*b = -4*g - 1 - t, -g + 12 = 3*b. Let d(h) = h - h + 1 - b*h. Give d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -8. Let h be u\/6*3\/(-1). What is the units digit of ((-28)\/(-8))\/((-2)\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 337 + -404?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -808*y = -3*r - 811*y, 0 = -3*r + 5*y - 40. Let h = 3.18 - 3. Let p = -17.18 + h. Which is the biggest value?  (a) p  (b) 2\/9  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n\/((((n*n**2*n)\/n)\/n)\/n))\/(n*n\/n**(-13\/3)))\/(n**(-18)*n*n\/(n*n\/(n**(2\/47)\/n))))**40 assuming n is positive.\nAnswer: n**(76840\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80920*s**6 - 68*s**5 + 23*s**3 - 1109513809*s**2 wrt s.\nAnswer: 9710400*s**3 - 4080*s**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/14 - (-8)\/(-14). Is 28 + (y\/2)\/1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 9*b = -8. Suppose 22 - 54 = -4*o. Suppose 4*p - o = -0*p. Calculate the remainder when b is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1458 - -616?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 15 = 3. Suppose 3*m = 5*p - 2 - h, m = -4*p + 21. Suppose -p*j - 7 = -s + 13, 0 = s - 3*j - 17. What is the lowest common multiple of s and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -833971.49409 + -0.56.\nAnswer: -833972.05409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 6*j + 5*p + 32, -12 = 3*p. Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -60 - 28. Suppose -12012 = -13*z - z. Suppose -9*h - 318 = -z. What is the remainder when h is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - 1\/(5\/1285*-1). Suppose 0 = -t - y + 566. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 933 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + -2 - ((7 - 0) + 96 + -76)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -920060, -920062, -920064?\n\"Answer: -2*b - 920058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 80836916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/35112 and 3\/677768?\nAnswer: 22366344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 3*r**2 - 5*r - 3. Let i be u(-3). Let v = i - 7. Let l(p) = -v*p - 8*p + 2*p + 10*p. Let t(w) = 3*w**2. What is t(l(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.5 - -6. Let l = 6.1 - t. Sort 5, 3, l, -0.05 in descending order.\nAnswer: 5, 3, -0.05, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6110571839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 5:30 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 15) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*t - 5*t + 707 = -5*t - 1741 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 - 14)*(-4*x + 4*x + x - x - 5*x + 3*x + (-3*x - 3 + 3)*(-1 + 0 - 1)).\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1\/(3\/(-111)))\/(42\/(-2058)).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16684*m**3 - 79 + 15636*m**3 + 383 wrt m.\nAnswer: -3144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*r - 16 = -2*h, 4*r - 27 = 3*h. Solve 2*w + 22 = 4*k, -5*k - r*w = -2*w - 21 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 2006786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -153 - -156. Is 318\/9*p*(-1893)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -23*q**2 + q + 1. Let g(r) = 310*r**2 + r + 460. Let y(k) = 2*g(k) - 4*x(k). What is the derivative of y(t) wrt t?\nAnswer: 1424*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10227106 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1.6499  (b) -77  (c) -0.5  (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-81864)\/(0 + 8). Let f = 16904 + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12.7 and 1?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 2*j**4\/7 + 6206*j**3\/7 + 18582*j**2\/7 - 7970*j + 31000\/7 = 0.\nAnswer: -3100, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 135 = v. Let l be 30\/v + (-6)\/(-54). Let w = 3 + l. What is the least common multiple of 5 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3642, -4086, -4500, -4872, -5190, -5442, -5616?\n\"Answer: 2*m**3 + 3*m**2 - 467*m - 3180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from hhevfhhvffp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 0*x - x)*(2 + 2*x - 2) + 6*x**2 - 5*x**2 + 6*x**2 + (-1 - 2*x + 1)*(2*x + 2 - 2) - 2 - x**2 + 2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2)\/(o**0*o)*o**5\/o**2*((((o**(-2)*o)\/o)\/o)\/o*o**(-4\/3))\/((((o*o**2)\/o)\/o*o)\/(o\/o**(-5))) assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zqzzzqwzxoczcz. Give prob of sequence xc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of -d**5\/15 + 23*d**4\/2 - 868*d**3\/3 + 2803*d**2. Factor g(l).\nAnswer: -4*(l - 62)*(l - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61 and 43003231?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 24410*m**3 - 24410*m**3 - 614*m**4 + (-2*m**4 + 0*m**4 + 3*m**4)*(2 - 4 + 3) + m - 2*m**4 - m in the form k*m**3 + q*m**2 + h*m + x + o*m**4 and give o.\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 94, 0.3, -487\/3?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 4 - 2 - (-1 + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from iiiiiiwggi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of 2*f**3\/3 + 15*f**2 + 2*f - 1. Let n be w(-15). What is the third derivative of 57*v**2 - 87*v**2 + 57*v**n - 30*v**5 wrt v?\nAnswer: -1800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 405 = 5*c, 3*a + 3*c - 24 + 321 = 0. Which is smaller: -507\/5 or a?\nAnswer: -507\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 8:40 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/9  (b) 3\/10  (c) 0.2  (d) 13  (e) 0.0005  (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -1 + 0 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -253210, -253204, -253198?\n\"Answer: 6*h - 253216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 107 + -124. Let h(x) = 4*x + 6. Let d(r) = 11*r + 17. Calculate b*h(v) + 6*d(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - 7*f**2 + f + 10. What are the prime factors of i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 2 = -7*q. Suppose q = 4*t - 50 + 14. Suppose c - 8 + t = 0. Let k(w) = -7*w**2 - w. What is k(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -19747*s**3 + 39*s**2 - 1189974 wrt s?\nAnswer: -59241*s**2 + 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**2. Let c(i) = -5*i + 27. Determine c(a(l)).\nAnswer: 10*l**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 439, 807, 1099, 1315, 1455?\n\"Answer: -38*v**2 + 482*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 3156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o**3 + 2*o**2 - 3*o - 12. Let w(a) = 1207 + 3*a**3 - a - 2420 + 1212 - 4*a**3. What is -m(x) + 3*w(x)?\nAnswer: -x**3 - 2*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jltjjjjjnnltjjjltjj. Give prob of sequence tnj.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 54406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(108\/8))\/(44\/(-99)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3211 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -662  (b) 0.1  (c) -1\/3  (d) 0.6  (e) -3  (f) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -3*f + 13, -5*f - c + 5 = -4*f. Suppose -3*z - 2*l + 14 + 8 = 0, -4 = 4*z - f*l. Solve 2*u + u - 5*h + 5 = 0, -h = z*u - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 9, -73, -299, -741, -1471, -2561, -4083, -6109?\n\"Answer: -12*m**3 + 2*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3104 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 comes next: -68, -300, -686, -1226, -1920, -2768, -3770?\nAnswer: -4926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -285*g**3 - 230*g**3 + 126*g**3.\nAnswer: -389*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*o + 191*o**2 + 17*o + 111*o**2.\nAnswer: 302*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -38.72 and -30.\nAnswer: 1161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3)**(-26)*j**10\/(j*j\/(j**(-8)*j)*j) assuming j is positive.\nAnswer: j**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*a + 4 = 0, -5*b + 0*b + 20 = 5*a. Suppose -2*w = 3*u + 3*w + 354, 4*w - 504 = b*u. Is u\/(-11) - 10\/55 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 502 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 723123.\nAnswer: 3, 80347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (46\/207*12\/(-10))\/(5*1078\/(-175)).\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75.70459 - -1.77159. Let z = 0.067 - l. Let c = z - 73.9997. What is c rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/1832165 and 63\/1465732.\nAnswer: 7328660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 11, b: 2}. Give prob of sequence btb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -9*c**2 + 12*c - 5. Let o(w) be the first derivative of -2*w**3\/3 + w**2\/2 - 177. Let m(x) = -f(x) + 5*o(x). What is m(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.45 * -19.\nAnswer: -27.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dhd when three letters picked without replacement from {w: 1, j: 2, d: 3, s: 3, c: 2, h: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.012046375 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.63  (b) 1  (c) -1\/10  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -711657295 divided by -5.\nAnswer: 142331459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44988 and 1136?\nAnswer: 12776592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7626\/88981 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + -2)\/(-3*(-2)\/3). Let w(z) = -2*z - 19. Let t be w(-15). Solve 5*q - t = -j - 0, g = 2*q - 5*j - 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -2. Let s = -43626 - -392636\/9. Which is the nearest to 1?  (a) s  (b) g  (c) 1  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48 + 30 - 45)*(2*y**3 - 5*y**3 + 0*y**3).\nAnswer: -99*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, 2, -5, 0.026?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88950, -177960, -267100, -356436, -446034, -535960?\nAnswer: -626280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2686745 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 21, 25, 31, 45, 73, 121?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 8:16 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-15) + 11\/((-165)\/(-36)). Solve 2*i - i = 2*u - 5, -15 = 4*u + j*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((3\/6)\/(1\/(-2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000703 rounded to 7 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n - 8*n = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of -8\/7*n**2 + 1\/10*n**5 + 1\/21*n**4 - 4*n + 0 - 4\/3*n**3. Suppose i(a) = 0. What is a?\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2031 and -2032 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 12:31 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-14))\/(594\/(-132))*-1*6.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -72*(765\/459)\/((-5)\/(-4))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86 = -4*c - 106. Is (-7134)\/(-10) + 10\/125*c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttttttttftfttttf. Give prob of sequence ftt.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 413.1551 to the nearest integer.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 28, 56, 86, 118, 152, 188?\n\"Answer: a**2 + 25*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 0.020328?\nAnswer: -0.060984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 209313349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 1. Is -1 - (p + 1 - 111) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 440 = 8*o - 232. Let i = -80 + o. Solve -34 = -6*p - i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1914\/3427 - 3540601\/7916370. Let q = -6\/77 + s. Let j = -987 + 987. Which is greater: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**3 + 80*f**2 - 2*f + 52. Give j(-40).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17250\/19 less than 907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4566.966 - -4569. Round p to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -71*z**2 - 21*z + 38. What is f(2)?\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2 + 9*k + 4. Suppose -14*c + 37*c - 161 = 0. Calculate t(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -3688.\nAnswer: -5\/3688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68205?\nAnswer: 3, 5, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*a + 5*a + 0*a)*(-8 - 5 + 16) + (928 - 1680 - 1047)*(4*a + 0*a - 2*a) in the form f*a + o and give f.\nAnswer: -3595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 + 11221?\nAnswer: 11133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.04, 6, 0.3, -2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -771.4 - -771. Let j = 0.1 + 4.9. Which is the closest to 0.5?  (a) -1\/4  (b) j  (c) 0.3  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-1) - 1)*2. Suppose d*l + 1 = 9, -5*u = -l - 23. Let s be (-3)\/21*(-4)\/(-2). What is the nearest to 1 in 4, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -4. What is the smallest value in -2\/15, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2773719.\nAnswer: 3, 13, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13155908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -629*a + 2. Let t(j) = 103*j**2 - 2285*j. Determine d(t(h)).\nAnswer: -64787*h**2 + 1437265*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 10230395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 0 + 0)*(2 + 0 + 0)*(-2 + 2 + 9).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -347, -349, -345, -329, -295, -237?\n\"Answer: k**3 - 3*k**2 - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/381 or -1?\nAnswer: -2\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37)\/(-555)*(3 - -9).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 4*s**5\/5 + 3*s**4\/4 + 40*s**2 - 2456*s - 1724. Differentiate a(b) with respect to b.\nAnswer: 16*b**3 + 9*b**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5\/3801  (b) 3\/11  (c) 0.2  (d) 3  (e) 0  (f) -4  (g) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.056 + 7.944. Put k, -2\/27, -0.1 in increasing order.\nAnswer: -0.1, -2\/27, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 - -26. Suppose -g*c = c. Which is smaller: c or 0.14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -9*r**2. Let i(f) = 14862000*f**2. Determine o(i(q)).\nAnswer: -1987911396000000*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*c - c = -48, t = -3*c - 26. Let a be (-9)\/((-9)\/(-3)) - t - 2. Calculate the highest common divisor of a and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.03, -3\/14, -0.4, -3\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31559133271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 33, 54, 83, 120?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2296 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from {o: 5, a: 3, h: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 5:19 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17\/3 or -36364?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/16)*l)\/l*l**(-19)*l*l\/(l*l**(-2\/19))*l\/(l*l**(22\/7)) assuming l is positive.\nAnswer: l**(-45167\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1435 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 69374511*o**3 + 3373336*o?\nAnswer: 416247066*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/2, -0.221, -0.047, 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 + 80 - w - 13)*(-15*w**2 - 27*w**2 + w**2)*(-1 - w**2 + 1) - 1 + 1 - w**5.\nAnswer: -42*w**5 + 3772*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 + 1080*b**2 - 95472*b + 2774304.\nAnswer: -4*(b - 114)*(b - 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c**2\/3 + 7448*c - 44692\/3 = 0. Calculate c.\nAnswer: -22346, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9051 is divided by 418?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 414015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205*f - 2038*f**3 - 70*f + 2 + 2037*f**3 - 384*f.\nAnswer: -f**3 - 659*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -30698420 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.190163 and -0.17.\nAnswer: -2.360163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttf when three letters picked without replacement from ckftdfkc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -w**6\/120 - w**5\/20 + w**4\/6 - w**3\/3 + 13*w**2 - 38*w. Let m(g) be the first derivative of f(g). Calculate m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -2*w - 44. Suppose -x = -2*x + w. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*y - 45 = 10*y. Let g(k) = k**2 - 4*k - 5. Let r be g(5). Is r > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -35*c + 60. Suppose -27\/7*x + 0 + 9\/7*x**c + 15\/7*x**3 + 3\/7*x**4 = 0. What is x?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 44*d.\nAnswer: 44*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 609130 is divided by 150.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**3*o - 29206*l**3 + 3207*l**2*o**2 - 2*o**2 with respect to o.\nAnswer: l**3 + 6414*l**2*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {l: 4, a: 2, x: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2830232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -72 - -83. Suppose j + 81 = -5*a, -2*a + 2*j - y = 19. Let f = a - -21. Solve o - 6 = b, -7*b = f*o - 2*b + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**2 - u**2 + u**2. Let k(d) be the first derivative of -10*d + 10*d - 2 - 2*d**2. Calculate k(v(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 2. Let x be -1*(-4)\/(-14)*-7. Suppose 19*g = 20*g - 5. Put g, x, f in increasing order.\nAnswer: f, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 88\/21 and 65\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75*25862\/16750 - 8\/(-10).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -23. Let k = z - -24. What is the least common multiple of k and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of 2*k**2 - 1. Suppose 0*i = -3*v + 4*i + 26, 0 = -2*i - 10. Let z be t(v). Solve q + 3*q = -z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/10)\/((-2)\/110). Let v = 45 + w. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15255, 15256, 15257, 15258?\nAnswer: 15259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5925 - 3740. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g - 3*g = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 + 18. Which is the nearest to -2?  (a) h  (b) 1\/4  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225*u + 88*u + 53 - 2*u - 38*u.\nAnswer: 273*u + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**2 - 398*o - 4616. Calculate i(210).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 26*v**2 + 5*v + 5. Suppose -3*z - 4*w = 7, -2*z - 107*w = -109*w + 14. Let t(p) = 273*p**2 + 52*p + 52. What is z*t(o) + 52*c(o)?\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*z - 21 = -91*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7328688 - 24548688. What is z rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 8) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 96 - 26. Suppose 0 = -5*c - 25, b = -0*b - c - 3. Suppose -3*d + t = -w, d - b*d - 5*w = -18. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 825 divided by 275\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 181\/4*(-26 + 22). Are -184 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8862 is divided by 588.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5367117.\nAnswer: 3, 7, 29, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 612973703?\nAnswer: 103, 223, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4855691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ccccjcccccccccccccjc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of 1011*t**3 - 2955*t**2\/2 - 2532. Find the second derivative of u(h) wrt h.\nAnswer: 6066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 11*v + 64. Determine f(-8).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*z + 4*z. Suppose z = -2*g + 3*g + p - 40, g = 4*p + 15. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/28 and -58\/175?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.812 - 0.8. Let q = -4.226 - -4.3. Let i = q + f. What is i rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - -9. Suppose z + 0 = 4. Suppose -z*t + g = 4. Solve 0 = 3*p + t + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**2 - 2*x**2 + 2*x**5 + (3*x**3 - 2*x**2 + 2*x**2)*(-3 + 6*x**2 + 3) + 3*x**5 + x**5 - 5*x**5 + (0 + 2*x**4 + 0)*(4*x - 5*x - x).\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1021210201 (base 3) in base 14?\nAnswer: 9364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32022 - 16009 - 16013 - 23*o**2.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, 0, 37 in decreasing order.\nAnswer: 37, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from vccccevrvxrvxerrrrtr.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -5206\/7 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (34 + 2 + 22)*(2*u**3 + u - u)*(-3 - 3 + 5)*(5 + 1 - 7) to the form c*u + m + f*u**3 + d*u**2 and give f.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 764 - -8ad?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + 19\/(-6) + (-38006)\/(-12). Let h = i - 1. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 - -182540.\nAnswer: 182559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.08934l in millilitres?\nAnswer: 7089.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -7*a**2 + 3*a. Let s be 1 - (0 - (1 + -4)) - (-10 - -13). Let f(y) = y**2 - y. What is s*d(q) - 15*f(q)?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4971?  (a) -1\/4  (b) 3\/7  (c) 0.1  (d) 3\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5486825 to the power of 1\/2, to the nearest integer?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 124235111 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fffqqfffqffffff.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7 + (-2776)\/(-400))*(-7)\/315. What is the nearest to 0 in 3, 2\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cojo when four letters picked without replacement from ccpoccojpcpcccp?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -124\/9 in -1\/4, 4\/9, -2\/9, -3\/7, 1\/6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6236313 divided by 19.\nAnswer: 328227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c**(2\/27)*c))\/c*c)\/(c*(c\/(c*c*c*c*c**(1\/5)*c))\/c*c))**(2\/69) assuming c is positive.\nAnswer: c**(844\/9315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16756 <= 16736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**14*s\/(s**(-10)\/s)*s assuming s is positive.\nAnswer: s**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 132\/1782 - 58\/54?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from lgylughuyululh?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4565.6 - -4566. Which is the fourth biggest value?  (a) -413  (b) 4\/3  (c) y  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/6)\/((-990)\/(-8910))*(-1)\/(12\/16).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/185580?  (a) 1\/2  (b) 1\/6  (c) 0.2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, -1\/2, -4, -2, -0.4, -283734, -4\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4404023 (base 5) to base 11.\nAnswer: 51809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from {l: 1, w: 2, m: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 23 = -19. Let b be (10\/a - -2)*-3. Let h = 8 + b. Are h and 7 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 234383017 and 2552?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/2)\/r)\/r)**(1\/2)*(r\/((r\/r**0*r)\/r))**(-1\/20) assuming r is positive.\nAnswer: r**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and 77118585.252.\nAnswer: 77118590.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j**3*n**2 + j**2*n**2 + 22*j**2 + 108*n**2 with respect to j.\nAnswer: 3*j**2*n**2 + 2*j*n**2 + 44*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4*(-4)\/(-8)*44. Suppose b - 22 = -5*w + 11, -t = -3*b - 4*w. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -3, -3\/2, 0, 2\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r. Let f(b) = 33*b**2 + 2*b - 2. Let j(d) = 3034*d**2 + 185*d - 185. Suppose -7*k = 7*k - 56. Let n(c) = k*j(c) - 370*f(c). Give n(g(u)).\nAnswer: -296*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 13*u**2 - 12*u - 9. What is the remainder when 227 is divided by o(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {e: 7, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -4284*b + 67*b - 21202*b + 930*b in the form k*b + c and give k.\nAnswer: -24489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 9*q + 7. Suppose q*p + 2504000 = -5*p. Round p to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 0*i = -9. Suppose 64*u - 40 - 303 + 151 = 0. Sort 13, u, 0, i in decreasing order.\nAnswer: 13, u, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*v**2 - 4 + 5 - 7*v**5 + 16*v**5 wrt v?\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109297041047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004722167 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-3\/5))**(1\/37) assuming d is positive.\nAnswer: d**(2\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28527942 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 525591072 a multiple of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -4*s - 2. Let i(w) = w**2 - 2*w - 2. Let o be i(4). Let d(r) = -25*r + 3. Let v(t) = 13*t - 2. Let c(x) = 6*d(x) + 11*v(x). What is o*c(k) - 11*p(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 216 - 216. Suppose z = -0*h - 2*h + 10. Sort h, -4, -12 in increasing order.\nAnswer: -12, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -599*s + 1346. Is r(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 2) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.029603513 - 2854.\nAnswer: -2854.029603513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 39\/(-52) - (-524)\/336. Does g = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95476?\nAnswer: 2, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhvhv. What is prob of picking 2 v and 2 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -190.262 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**5 - 39*j**4 - 105*j**3 + 147*j**2 = 0?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 - 2412*j + 12135.\nAnswer: -3*(j - 5)*(j + 809)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*w - 11*w - 2275. Suppose s + 0*b + 2*b = 79, 4*s - b = w. What is the remainder when s is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 7*z**2 + 51*z - 1210. What is f(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/(-26) + 160\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37564 divided by -7?\nAnswer: -37564\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 110551543 equal to 110551542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40\/6547877 and -61\/1384?\nAnswer: 52383016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/8, -99, -5, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 58692946 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -61, -33, 0.2 in ascending order.\nAnswer: -61, -33, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78523 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**2 + 3*z - 2. Let s be g(1). Suppose 2 = 5*d + 12. Let o = s + d. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*q + 13*q - 12*q + 17*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6574962.\nAnswer: 2, 3, 241, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -1  (c) -2\/17  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 + 3)*-1*10. Let f = x + 26. Let i be ((-288)\/(-840))\/(f\/(-20)). Which is bigger: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 11  (b) 10267  (c) 162  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -5*r + 23. Let k = 2.2 + -1.9. Let d = k - 0.2. Which is the biggest value?  (a) d  (b) r  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26786318.\nAnswer: 2, 13, 347, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 19, 34, 51?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2247849507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 936986753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -652 + 658. Suppose -5*d + 15 = 5*b, -8*d = -b - 7*d - 3. Solve b = j - 2*h + p, j + 2*h = -4*j + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -458*o + b = -3668, 3*o + 0*b - 2112 = 5*b - 2068 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (56\/(-1463))\/((-44)\/(-242))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o**2 - 9 + 2*o + 4*o**2 - 9*o**2 - o**3. Suppose 4*p - 18 = l + l, -4*p + 9 = -l. List the prime factors of j(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*v - 58*v - 47*v + 170*v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((133\/28)\/(2\/4))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -15*z**2 - 3*z + 10. Determine q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4585.207644 + 0.007644. What is g rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**2 - s**2 + 7*s**2 + (s - 1 + 1)*(-2 + s + 2) + 60*s**2 - 37*s**2 - 38*s**2)*(s**3 + 5*s - 5*s - 1).\nAnswer: -12*s**5 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 508644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/5*b**3 - 142*b - 86\/5*b**2 - 330 = 0. What is b?\nAnswer: -33, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -10 and 14029.\nAnswer: 14019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 6*a**2 + 7*a - 1. Let j be p(7). Let b be (-2)\/j + 72\/(-32). What is the closest to b in -3, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -45 - 57 + 38*d**3 + 61 wrt d?\nAnswer: 114*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 57*s**2 + 8*s - 438. Calculate r(57).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*l**3*u**3 + 28*l**3*u - 4*l**2*u**2 + l*u**5 - 14*l*u**4 wrt u.\nAnswer: 30*l**3 + 60*l*u**2 - 336*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 83003745697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1507 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -13.9 and -82451321?\nAnswer: 82451307.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 1 - 3*b + 1 + 2*b**2 - 1 - b**2. Suppose -2*f - 3*v + 8*v = -10, 2*f - 2*v = 10. Calculate the least common multiple of u(f) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -117386\/5 < 0.0836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27 - 25. Let l be 112\/(-32)*w\/(-1). Let y(v) = v**3 - 5*v**2 - 7*v. What are the prime factors of y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12396 divided by 3.\nAnswer: -4132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 613689.5 grams in tonnes?\nAnswer: 0.6136895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/13, -3, 2\/3, 149.7?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -845*k + 1 - 1.\nAnswer: -845*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -41607436*d**4*m + 49951755*m with respect to d.\nAnswer: -166429744*d**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(90) + sqrt(90)*2)*-5 + ((1*sqrt(90) + sqrt(90))*2 - sqrt(90)))\/(sqrt(35)\/(sqrt(7) + sqrt(7) + sqrt(63))*-1))**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53237 and 556?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/412 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*i*j**5*v + 71*i*j**2*v + i*j + 76*j**3*v + 4 wrt j.\nAnswer: 120*i*j**2*v + 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.13 + 1.23. Put r, 5, 1, -11 in ascending order.\nAnswer: -11, r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -280 + 288. Suppose 0 = -3*q + g*q + 5, 5*o + 2*q - 793 = 0. What is the lowest common multiple of 9 and o?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of 1\/3*y**4 - 1\/12*y**5 + 4*y**2 + 5\/3*y**3 - y + 0. Let n be o(-10). What is n rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/72222626 and 83\/10.\nAnswer: 361113130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 397427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/4))**(1\/12)*((q**(-6)*q)\/q)\/(q\/(q*q**8*q))*(q\/q**(-2)*q**(-4\/11))\/(q\/q**(1\/5)*q*q**4\/q*q) assuming q is positive.\nAnswer: q**(-377\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {j: 1, k: 2, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -1306.67295 to 1 dp.\nAnswer: -1306.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x = x - 2385000. Round x to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -48068329 - -5?\nAnswer: -48068324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {m: 1, z: 11, g: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 4*x - 328, 5*x + 196 = 3*n + 7*x. Calculate the remainder when n is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 - r + r)*(-242*r + 224*r + 617*r + 476*r + 676*r).\nAnswer: 3502*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - j**2 - 2*j + 3. Suppose 0 = 2*k - 92 + 14. Let d = 36 - k. Let b be (22\/(-6) - -3)*d. What is w(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -4. Let w = s - -0.9. Let y = w - -0.6. What is the nearest to 1 in y, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 566\/7 - 1705\/21. Which is greater: 1926 or c?\nAnswer: 1926","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 684 and 1584.\nAnswer: 30096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*x + 18*x**3 - 17*x**3 - 36*x in the form j*x + k + w*x**3 + t*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 - 19. Let o(c) be the second derivative of 17*c**3\/6 - 25*c. Let n(w) = -4*w. Let v(f) = -9*n(f) - 2*o(f). What is z(v(q))?\nAnswer: -4*q**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66205\/21 - -3153. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1946, 1947, 1948, 1949, 1950, 1951?\n\"Answer: x + 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3192655 + -3192647.000014. Let i = -1.2 + 9.2. Let g = i - j. What is g rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 474260 and 9430?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2. Let a(d) = d**2. Let s(p) = -2*p**2 + 8*p**2 + 2*p**2. Let h(f) = f + 3. Let b be h(-4). Let o(j) = b*s(j) + 6*a(j). Determine o(w(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 5*r = -2369 - 356, r = 5*n - 13781. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 7043*k**2 + 213*k + 423. Is h(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10151?\nAnswer: 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/9*270\/(-12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -127  (b) 1\/3  (c) 1\/5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, u: 1, n: 4, g: 2}. Give prob of picking 1 b, 1 n, and 1 u.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/12 and (-4 - 4\/(-2368)*2371)\/((-171)\/3572).\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 3*q - 11, 1 = -q + 3*m - 0. Let s(a) = -18*a**2 + 8*a**2 + 6*a**2 + 2*a**q. Let d(v) = 17*v**2. Determine s(d(y)).\nAnswer: -578*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2209 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(475) - sqrt(475))**2 + -2.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69 (base 15) to base 6.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -747 + -34. Let y = -1681 - i. Let o be (-2)\/7 + y\/(-14). Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 91 and 13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**10\/u)*u**(-39)*u)\/(u**(-14\/5)\/(((u\/(u**(-8\/11)*u))\/u)\/u)) assuming u is positive.\nAnswer: u**(-2446\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 3. Let b be r(3). Let n = -49 + 49. Sort b, n, -2 in decreasing order.\nAnswer: n, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163331 is divided by 1719?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - 12*b**2 - 18*b + 60. Determine j(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*f - 267*f = -208 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -494*l - 176*l - 253*l.\nAnswer: -923*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + n - 1. Let v = 2 - 3. Let d(b) be the third derivative of 2*b**5\/15 - b**4\/12 + b**3\/3 + 4*b**2. Let w(p) = v*d(p) + 6*u(p). Factor w(g).\nAnswer: -2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 70386188\/22 - 8\/44. Suppose -4*o - 799372 = -s. What is o rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -1, -1\/10, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -479*x**5 - 8*x + 6.\nAnswer: -9580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16300208047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46785072 by -15595024.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2796 - -2779. Let v(g) = 6 + 2*g - 3*g - 3*g**2 - 5*g**2. Let c(x) = -23*x**2 - 3*x + 17. Calculate r*v(u) + 6*c(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add 6.2948 and 1.2.\nAnswer: 7.4948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.4 in 14, -0.3781, 4?\nAnswer: -0.3781","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 7*k + 4. Let j be z(7). Solve -j*v + 11 = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a = -5460*g + 5461*g + 2*a + 114, 3*a = -3*g - 174 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + -3*(-2)\/6. Suppose v = -5*c + 2642 + 668. Suppose 3*k - k = 2, 5*n - c = 3*k. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -414, -397, -370, -327, -262, -169, -42?\n\"Answer: y**3 - y**2 + 13*y - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 divided by -960.\nAnswer: -7\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 443579197 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i = -2*x - 14*i + 59, -2*i = 2*x - 58. Let n(s) = -2*s**3 + 5*s**2 + 6*s - 1. What is the smallest common multiple of n(3) and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -3)\/(-2 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a**(-6)\/a*a)\/a)*a*a**(-2\/21)*a**3*a*a**(-6\/5)*a)**(14\/13) assuming a is positive.\nAnswer: a**(2668\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**7*v*v)**(-2\/47)\/(v**1*v*v**(1\/3)) assuming v is positive.\nAnswer: v**(-389\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 14 + (-19 - -24) + -3 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oeeh when four letters picked without replacement from {o: 6, h: 3, m: 7, e: 3}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 1:10 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10059 - -10058.923. Let v(r) = r**2 - 8*r. Let g be v(8). What is the fourth biggest value in g, 2\/11, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -57*f**2 - 6. Let l(y) = -y**2 + 1. Let q(c) = c**2 - 22*c + 63. Let m be q(19). What is m*l(k) + r(k)?\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(2\/3)*a*a**5)\/(((a*a\/((a*a**2)\/a))\/a)\/a)**(47\/2) assuming a is positive.\nAnswer: a**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g**4\/7 + 3*g**3 + 3*g**2\/7 - 3*g = 0 for g.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81, -167, -253, -339?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -1113*q + 26934. Calculate z(26).\nAnswer: -2004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5975919, 5975918, 5975917?\nAnswer: 5975916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 8*w + 5. Let d be r(8). Put -6, 2, d, 0 in ascending order.\nAnswer: -6, 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-6))\/5*11542\/(-199)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 11*c - 572. Calculate o(-19).\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2214 is divided by 2197.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 3:40 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*m**3 + 3*m**3 + 0*m**3)*(-5*m + 2*m + 0*m) - 91*m**4 + 3955*m**3 - 3955*m**3 as r*m + x*m**4 + w*m**2 + b*m**3 + p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -6*d**3 + 3*d**2 + d - 4. Let x be p(-2). What is the common denominator of (147\/x)\/((-6)\/(-9)) and 39\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -446*l. Let g(d) = 7*d**2. What is g(i(c))?\nAnswer: 1392412*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b19c5 (base 13) to base 4.\nAnswer: 10002330130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {i: 5, v: 13, b: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 628873121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 66 + -27 + -24 - 44\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 6. Let i(v) be the second derivative of -1\/30*v**6 + 0*v**3 - 2*v - v**2 + u*v**5 + 0*v**4 + 0. Differentiate i(o) with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91 - 92 + 275 + 690*y - 91.\nAnswer: 690*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**8\/g)\/(g*g**(-7))*g**(-1\/5)*g\/(g**(3\/5)*g*g) assuming g is positive.\nAnswer: g**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 16*m - 1. Is n(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44641 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-8))\/(2\/104). Let z be 30\/(-70)*1*(-6 - 8) + 46. Calculate the greatest common factor of z and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -4*z - 9. Suppose -w = -3*w + 4*j - 26, -j + 2 = w. Let v be y(w). Solve 0 = 3*q + 6, v*l + q = 4*q + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (15 - 46 - -8) + -12?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 4*o - 11, -3*o + 2 = -1. Let i(b) = -3*b. Let l be i(20). Let f = 66 + l. Solve f*g - d*g = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**2 + a + 2. Let c be t(-2). Suppose 2*v + 0*v - c = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 4.97. Let m = l - 3.97. Let g = 0.29 - -0.11. Which is the nearest to -2?  (a) m  (b) 0.5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -56, -4, -0.1, -4\/7, -1 in increasing order.\nAnswer: -56, -4, -1, -4\/7, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1598 * 1.\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -11. Let k = -5 + 5. Which is the third biggest value?  (a) k  (b) 4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 14\/(-4)*(5 - (-236)\/(-28)). Suppose -j*n + 4 = -32. Let z be (1\/6)\/(8\/(-60)). Put n, 2\/15, z in ascending order.\nAnswer: z, 2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 + -35 + (-240)\/15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 39 and 8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -13*t**4 + 5*t**3 - 5*t**2 + 5*t - 2. Let g(v) = 7*v**4 - 2*v**3 + 2*v**2 - 2*v + 2. Let p(x) = -6*a(x) - 15*g(x). Differentiate p(y) wrt y.\nAnswer: -108*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 85715 and 3605?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**2 - 130*s - 240.\nAnswer: -5*(s + 2)*(s + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + -1 - (39 - (-30 + 70)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3176 - 940. Calculate the greatest common divisor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1890, -7534, -16936, -30096, -47014, -67690, -92124?\nAnswer: -120316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 5221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 = 79*k + 220. Suppose -290 = -2*r - 982. List the prime factors of r\/(-4) + (-3)\/k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/112)\/(300\/24). Let o be 224\/(-21)*(-246)\/700. Let g = o + p. Which is smaller: g or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 8*z**2 + 6*z + 19. Calculate g(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 467*z + 464*z = 0, -3*z = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.14 * 0.00605\nAnswer: -0.000847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 25*q**2 + 53*q - 30. Give f(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/30 and 31\/3435546.\nAnswer: 17177730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -612 - -609. Is (12\/8)\/(s\/6) - -489 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1123313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2. Let q(j) = -j**2 + 10*j - 12. Let c be q(8). Let y(t) = -c*t**2 + t**2 + 0*t**2 - 3*t**2. What is y(i(v))?\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 3*h**2 + 25. Let t be k(-4). Suppose 0 = 10*o + t*o - 1843. What are the prime factors of o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102030 (base 5) to base 16.\nAnswer: -d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 757 - 528. Suppose 2*p - a = p - 3*v, -3*p = v - 655. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129460433.\nAnswer: 19, 31, 219797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 675761154125 plus 0.83?\nAnswer: 675761154125.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -12220 (base 3) to base 2\nAnswer: -10011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3046 (base 10) in base 16?\nAnswer: be6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -1 - -2 - (-2 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide (-8)\/80*76686*(-4)\/(24\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/11 greater than or equal to -1.027331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -21, -63, -115, -183, -273, -391, -543, -735?\n\"Answer: -s**3 + s**2 - 38*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*x - 93*x - 5*x)*(-x**2 - x**2 - 3*x**2 + (-2*x + 3*x - 3*x)*(-2*x + x + 0*x) - x**2 + 4*x**2 - 4*x**2).\nAnswer: 464*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1581 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.1 - 3.1. Which is the nearest to -1.8?  (a) -0.5  (b) h  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3121087 (base 12) to base 16\nAnswer: -8d2527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43 = 6*b + 13, -10*b - 5 = q - 8*b for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**4 - 21*p**3 + 24*p**3 - 4*p**4 + 2 to i*p + l + z*p**4 + r*p**2 + x*p**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of 0*x + x**2 - 15 + 2\/3*x**3. Solve k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -238.6 * -0.434\nAnswer: 103.5524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n + 3*n + n + (-1 + 1 - 2)*(-4*n + 0*n + 3*n) + n - 5 + 5 + (0*n - 2*n + n)*(0 - 4 + 2) - n - 7*n - n - 11*n + 3*n - n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -706051, -2824147, -6354309, -11296537, -17650831?\nAnswer: -25417191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78803.\nAnswer: 78803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 125*i**3 + 11*i**5 - 53*i + 783*i - 69*i**3 - 75*i**3 + 1 - 101*i wrt i.\nAnswer: 220*i**3 - 114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1190*h**5 - 537*h?\nAnswer: -23800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-144)\/(-153))\/8 + 166\/34. Let v be 3\/y + 4\/10. Solve -3*h - 2*k - v = -9, 4*h - 2*k - 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5 + (-6*(3 + sqrt(112)))**2*-6 + 4).\nAnswer: -52274 - 10368*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {w: 2, n: 4, r: 2, j: 5, b: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -6*j + 78. Suppose 10*s = 3*s + 42. Let z be i(s). What is the greatest common divisor of 210 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/6 + 2)\/(52\/12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 3*b + 4. Let f(y) = -2*y - 3. Let u(i) = -4*f(i) - 3*t(i). Let j(h) be the second derivative of -h**3\/3 - h. Calculate -j(w) + 6*u(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-44)\/33)\/((-250)\/15)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15210)\/104)\/65*10\/(-54)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7590098.\nAnswer: 2, 89, 42641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vgggvgvvvvv. What is prob of picking 2 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c**2 - 2*c**3 + 4*c**3 - c**3.\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112125 and 455676?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-2\/3)\/z)\/z)\/((z**(-4)\/z*z)\/z))\/((z*z**(-1\/4))\/(z*z**(-3\/2))) assuming z is positive.\nAnswer: z**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -62*b**2*v**3 + 2*b**2*v - 4*b*v**2 - 18*b*v - v**5 + v**3 wrt v.\nAnswer: -372*b**2 - 60*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + b**2 - b + 73. Suppose -7*t = 2*t. What is the tens digit of s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, n: 2, q: 7, u: 3, s: 5, h: 2}. Give prob of sequence qu.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 13 = -3. Let g = -1 + x. Suppose -g*p = -3*p - k - 130, -3*k = 2*p - 72. What is the remainder when 129 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/(-935)*17)\/((-93)\/1612*16\/(-15))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**2 + 0*h**2 + 2*h**2 + (h + 3*h - 2*h)*(3 - 3 - 2*h) - 2*h**2 + 0*h**2 - h**2)*(-2*h + 1 - 1).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-811)\/4055)\/(3\/(-6)*1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and 1003289.35.\nAnswer: 1003288.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 4*n**2 + n + 4. Let f be a(-4). Suppose l - 6 = -f*l. Suppose -2*c - 8 = -k, l = -c - c. Solve -d = -0*d - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from xwxpwluppprpxpxpwl.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 3*x + 17 - 16)*(x - 3*x + 0*x).\nAnswer: 6*x**2 - 36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 29*c - 92. Give v(24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -39 and 72822?\nAnswer: -2840058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3517306 (base 8) to base 11.\nAnswer: -5a4966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1505714459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 3*j**3 - 3*j - 3. Let c be b(2). Let i(a) = c - a - 8 - 8*a + a**2. What is i(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - -4. Suppose -d = -j*d + 10. Let w be 558\/27 + d\/(-3). Solve i = 6*i + w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 3) + (-42)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 4279*w**3 - 8569*w**2 + 16*w + 9. Determine o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 8*h - 4. Let f = -115 + 158. Suppose -4*p + 9 = -p, -4*c - 5*p = -f. Give y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/4*(-5 - 7). What is the smallest common multiple of (-32)\/(-10)*(-15)\/d and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-1\/54)*x\/x**(2\/35)*(x\/((x\/(x*x\/(x**(-4)\/x)))\/x))**27 assuming x is positive.\nAnswer: x**(409987\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {t: 5, g: 5, b: 2, j: 5, o: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = h + 2*n - 1, -2*n = 6. Let b be ((-25)\/15*-3)\/1. Suppose 5*y - 12 = z + h, -b*y - 2*z = -16. Let o(c) = -c**3 + 3*c**2 + 2*c - 3. Calculate o(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 186, 362, 548, 750, 974, 1226?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18601441 is divided by 3314.\nAnswer: 3273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (74385\/33)\/(-5) - 10\/55. Let i = 460 + g. Solve 8*u = i*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 8*p - 35 = 0. Suppose -8*s + p - 47 = 0. Sort -4, 1, s in increasing order.\nAnswer: s, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 25 - 2)*(s**3 - s**3 + s**3)*((4 - 2 + 0)*(-3 + 4 - 2) - 1 + 1 - 2 - 4 + 0 + 3) - 8*s**3 + 4*s - 4*s.\nAnswer: -108*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3792, 4519, 5222, 5895, 6532?\n\"Answer: -y**3 - 6*y**2 + 752*y + 3047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + 100111011110110?\nAnswer: 100111011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -310, -1245, -2802, -4981?\nAnswer: -7782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**4 - 24*b**3 + 100*b**2 - 168*b + 90 = 0. Calculate b.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -0*s, -2*s + 5 = 5*a. Suppose 4*r = a + 3. What are the prime factors of r + -1 + 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 0*m = -2. Let r(v) = -v**2 + 4. Let a be r(0). Sort m, 1, a.\nAnswer: 1, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -325746*u - 350536*u + 97768*u.\nAnswer: -578514*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 11, a: 3}. Give prob of sequence aaf.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 78\/11  (b) 5  (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 10, y: 2}. Give prob of picking 2 p and 2 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 50532 - 50?\nAnswer: 50472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of 4\/3*r**3 - r**2 - 1\/4*r**4 + 11 - 2*r. Give q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -26 in -3, -3\/17, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = p - 12. What is the units digit of 15\/(-1)*p\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k - 7*k = -224. Suppose k = 3*p - 0*t + 4*t, 5*t - 9 = -p. Solve p*u - 17 = 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7230 + -7040. What is the highest common factor of 874 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**2 - 2*q - 5. Suppose 0*s - 2*s + 16 = -4*u, 5*s = 3*u + 19. Let a(x) = -2*x**2 - x**2 + 84*x - 83*x + 2*x**2 + 2. Give s*h(k) + 5*a(k).\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/15 + (-32)\/5. Let s be (-3)\/5 + u\/(-60). What is the third smallest value in -3\/7, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 5*s**2 - 5*s - 6. Let g = 11 + -5. Let d be x(g). Suppose -a + 1 + 10 = d. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-1*sqrt(99) - (sqrt(176) + 2 + sqrt(176))**2) + 4 + 4 + -1*sqrt(11) + 1 + sqrt(22)\/sqrt(2).\nAnswer: -695 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (53 - (61 - -20)) + -55\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 507 and 31470.\nAnswer: 5318430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + 1 + 4)*(-4)\/(-10). Let p be k\/(10\/15 - 0). Suppose 0 = 4*o + 8, -p*o - 4 = -s + 7. Solve -5*c + 7*m - 2*m = 15, -s*m = -c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1025 - 1002. What is the remainder when 59 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -17852 and -201 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3*y**2. Let c(k) = -17*k. Determine c(h(d)).\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z - 586*k + 600*k = 4*z - 247, -3*z + 2*k + 11 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 188541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 104 - 105. Let o = -2683 - -2680. Put -0.1, -5\/4, j, o in ascending order.\nAnswer: o, -5\/4, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 52, 0.2, 1, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -56*h**2 + 2*h + 359.\nAnswer: -112*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*d - 1775 = -3737 - 6664 - 2966 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 399368928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4727\/(-65) + (-3)\/15. Let w = 6765\/104 + m. What is the common denominator of w and 57\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -17*w + 9 - 16 + 16 - 2. Let j(n) = 2*n + 3. Let g be j(-4). What is the tens digit of y(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16777 is divided by 77.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 8. Let t = k + 3.9. Let v = t - -3.1. Sort -0.5, 2\/3, v in decreasing order.\nAnswer: v, 2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from nwwwnw.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 23303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 16 = -5*f, 4*f = -p - 0*p + 5. Suppose -f*g = -3*g + 27. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-36)\/(-5)*200\/(-780). Let h = 109\/52 + b. What is the biggest value in 25, 0, h?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13327?\nAnswer: 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/6 and -119\/6876588.\nAnswer: 6876588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -446025 divided by -5\nAnswer: 89205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -129*i - 98. Determine z(5).\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -626 - -626.5. What is the biggest value in -5\/3, 0, -115, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61 + s + 3*s**2 - s.\nAnswer: 3*s**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/22 - 120\/(-55). Let y(l) = -2*l**3 - 2*l**2 + 7*l + 10. Let d be y(-2). Let n be d + -1*(10 - 3) - -1. Sort n, 5, -4, s.\nAnswer: -4, n, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b719 (base 12) in base 6?\nAnswer: 1432433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11 and 2.63309?\nAnswer: 28.96399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -8*a - 3. Let w(n) = -26*n - 10. Let k(y) = -10*r(y) + 3*w(y). Let p(l) = -l - 32. Determine k(p(d)).\nAnswer: -2*d - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 75\/8 - 55\/8. Let m = -5 - -8. Let r = m + -4. Which is the closest to -0.1?  (a) 1\/4  (b) v  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -b - 0*h + 5*h, 5*b - h = 15. Suppose 40 = -b*m - r + 294, 127 = m + 4*r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 126316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 4027*t + 4031*t = -10, 0 = -5*w - 3*t - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2757701*b**3 + b**2 - 12*b - 14. Let r be j(-1). What is r rounded to the nearest ten thousand?\nAnswer: 2760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10980 - -3409. Let v = 60473\/8 + r. Find the common denominator of 81\/4 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3319679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.116 + -0.284. Which is the third biggest value?  (a) 0.5  (b) 1.3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 763, 689, 629, 583?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 1 - 3 = -o, -o + 2 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 7 = 18. Solve -j = -4*c - 3*k, 0 = -0*c + 2*c - 3*k - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(1\/2)\/z)\/(z*(z*z**(4\/5)\/z)\/z)*z**(-8)*z\/z**(2\/3) assuming z is positive.\nAnswer: z**(-239\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -568 + 1072. Suppose -96 - u = -4*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**3\/11 + 3756*l**2\/11 + 13912*l + 782544\/11 = 0. Calculate l.\nAnswer: -34, -6, 1918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000282432 rounded to seven decimal places?\nAnswer: 0.0000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*p**3*v**3*z**3 - 1626*p**3*v**3*z**2 - 390*p**3*v**2 - p**3 + 8*p*v*z**3 wrt v.\nAnswer: -30*p**3*z**3 - 9756*p**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10343*t**2 - 346*t wrt t.\nAnswer: 20686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/3*(-18)\/12. Let n = 230 + -225. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 13) + (-102 - -109) - (0 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -0.06, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2421*d - 164. Let l be u(16). What is l rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = a + 2 - 7, -4*a + 2*x + 14 = 0. Suppose a*o - 3200000 = o. What is o rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -2*i + i + 5, 3*s - 4*i = 25. Suppose 5*t - 28 + s = 0. Solve 2*h = -2*v + 10, -v = -2*h - t*v + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -41*f - 2. Let a(m) = -m**2 - 12*m - 1. Let g be a(-12). What are the prime factors of j(g)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3509396996 to the power of 1\/2, to the nearest integer?\nAnswer: 59240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1268771 is divided by 15286?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2370 (base 8) to base 3.\nAnswer: -1202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -149347?\nAnswer: -149349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -24.9  (b) 1  (c) -4  (d) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -r. Suppose -j - q + 2*q + 12 = r, 3*j - 28 = -q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149705 is divided by 121.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 3*w - w. Solve 0 = -4*t + 4*b, w = 5*t + 2*b + 9 + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 719164994 to the power of 1\/2, to the nearest integer?\nAnswer: 26817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 302325 and 3825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6003, -12679, -19355, -26031?\nAnswer: -32707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 327?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 3*g**3\/8 - 224313*g**2\/8 + 524114334*g + 1048284747\/2 = 0.\nAnswer: -1, 37386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (21 + -11 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g**2 + 4*g + 4. Determine a(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of z**2\/2 - z + 7. What is p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -42, -2, 3\/10 in decreasing order.\nAnswer: 3\/10, -2, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-905)\/543)\/(24\/(-36)*(-10)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 4. Let o(a) = -a**2 - 11*a. Let l be o(-11). Sort l, -4, w.\nAnswer: -4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65469079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5442 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-1 - (2 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 637*u - 645*u = -32. Solve -4*o - 3 = 2*w - 15, u*o - 14 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = h - 15. Let n(a) = -a**2 - 8*a - 8. Let y be n(-6). Let t(f) = 4*f**2 - y*f**3 + 2 + 3 + 5*f**h + 2*f. Give t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1478)\/(-62076)*(-12)\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51501 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 506214*m**6 + 1295962*m**2.\nAnswer: 60745680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189) + (sqrt(189) + sqrt(189)*-2)*2 + (6*-1*sqrt(189) - sqrt(189)))\/((-1*sqrt(21)*-6)\/(-6*1*sqrt(7))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/40 - (253\/(-10) - -22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 1 + -9 + (157 - (145 - -18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(2*sqrt(72) + sqrt(72))*-1)\/(5*-1*(-2*sqrt(16) - sqrt(16) - sqrt(16))))**2.\nAnswer: 729\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -7 - 2 - 1 - 9*q - 2 + q**2. Let w be p(10). Let c(z) be the first derivative of -2*z**3\/3 - z**2\/2 + z + 62. What is c(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6)\/v**(-10))\/(v\/(v**(-3\/7)*v)*v*v**(3\/5)*v*v) assuming v is positive.\nAnswer: v**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 + 317098*c + 126840.\nAnswer: -(c - 63420)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-2)*(1144\/66)\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 150140317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -192 - -197. Let z(r) = r**3 - 5*r**2 - 2*r + 6. Let h be z(s). Which is the closest to -2?  (a) -5  (b) -1\/8  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1251 - 413?\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -11)\/(1 - 0). Let m = -4 + j. Calculate the least common multiple of 4 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000220497154 rounded to six decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 50 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 6:13 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-7)*q)\/q**(-4))\/(q\/(q**(2\/17)*q)*q\/(q*q**(-3)))*(q**(-2\/7)\/q*q)**(1\/25)*(q*q*q**(-2))\/q**(-3) assuming q is positive.\nAnswer: q**(-5634\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1756540563 rounded to four dps?\nAnswer: 0.1757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 1495660*w**2. Let b(z) = -103*z**2. Calculate d(b(h)).\nAnswer: 15867456940*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 352781, 352778, 352775, 352772, 352769?\nAnswer: 352766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 2*z)*(-3 + 0 + 5) - 7*z - 8*z + 6*z + z - 3 + 3 + (-2 + 5 + 5)*(-z - 3*z + 2*z) in the form s + q*z and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*v + 167 = -129 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {x: 4, i: 1, f: 1, t: 2, y: 2, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1938*n**2 + 0 - 231\/2*n**4 + 3\/2*n**5 - 4332*n + 2277*n**3 = 0.\nAnswer: -1, 0, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1532.5 + 1229. Let z = m - -310. Which is the third smallest value?  (a) 3  (b) z  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -33*l**3 + 15*l**2 + 3*l + 5. Let b(u) = 16*u**3 - 8*u**2 - 2*u - 2. Let f(m) = 5*b(m) + 2*r(m). Factor f(x).\nAnswer: 2*x*(x - 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1416928979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (84 - 3 + 14)*(2 - 2 - 2*b) to n*b + x and give n.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -3  (c) -2\/11  (d) 25  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/744741 in 2\/11, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1656214815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(6\/3))\/(1 - 3). Let k be 0 + 1 + 5 + w. Solve 0*b = 2*b + 2*x + 6, k*x + 16 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74915.\nAnswer: 5, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/56 or 431?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/133*-19)\/(-138).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 51.58354 kilograms?\nAnswer: 51583540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -260*j**3 + 8042*j**2 + 32398*j + 32418. Let f(n) = -23*n**3 + 731*n**2 + 2945*n + 2947. Let u(b) = 68*f(b) - 6*g(b). Factor u(l).\nAnswer: -4*(l - 368)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.49 + 1.06. Let y = -0.38 + b. Round y to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) - sqrt(160)\/sqrt(8)) + -3 - (sqrt(2000) + -1))**2 - ((sqrt(40)\/sqrt(98))**2 + (5 + sqrt(40)\/sqrt(2))**2).\nAnswer: 60*sqrt(5) + 95971\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 8*w**3 + w**2. Suppose -18*q + 19*q - 101 = 0. Let h = 62 - q. Let n be h\/(-13)*(-2)\/(-6). Give o(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 651\/(-186)*(-10)\/(-14).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 8, b: 5}. What is prob of sequence kbkk?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -187 - -190. Let s(w) = 7*w + 3. Let d(x) = -10*x - 2. Let r(m) = i*d(m) + 4*s(m). Give r(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0207 + 0.0207. What is the third biggest value in q, 14, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -3 + 5 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5118*b - 30714. Give q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13 - 22?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -229.076 and -1.6.\nAnswer: 366.5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2160000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/10)\/((2\/45)\/(284\/(-1278))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - k**2 - k - 1. Let u(g) = 7 + 4*g**2 + 7*g - 9225113*g**3 + 3*g**2 + 9225121*g**3. Let p = -106 - -177. Let c = 99 - p. Give c*s(t) + 4*u(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -2. Let k(j) = -2636 - 2*j**2 - 2*j + 1449 + 1434. Is k(y) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -138887 (base 11) in base 3?\nAnswer: -102000020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zb when two letters picked without replacement from arbazabbbrarm?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2056, 2286, 2912, 4132, 6144?\n\"Answer: 33*w**3 - w + 2024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -29*d + 3. Let n be t(-4). Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 PM and 7:11 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (((-63)\/(-12))\/7)\/3. Suppose -t = 3*n + 15, -n + 2*n = -t - 5. Which is the closest to 1?  (a) -3  (b) o  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3008095 is divided by 478?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1707 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-7) - 331\/(-7). Let q = 2632 + -2678. Let v = w + q. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1442*l**4 + 5*l**3 - 7*l**2 + 402*l - 112?\nAnswer: 17304*l**2 + 30*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 364366\/22 - 242\/2662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330551159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*s - 1447424 + 1445336 = 0 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -281 - 13 = -2*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86.83192 - 2.87642. Let l = -84 + i. What is l rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-5))\/x**(-9))**(-46)*((x\/x**(-1))**(-19\/4))**(-43) assuming x is positive.\nAnswer: x**(-563\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-20)\/(-20))\/(-1 - 0)*-2. Calculate the remainder when -27*(7\/(-2) + o\/4) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34.4 or -4278.487?\nAnswer: -4278.487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2428017 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c - 14*c**2 + 2*c. Let f(l) = 3499*l + 3495*l - 10489*l + 3492*l. Give f(z(q)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1285 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*c**3 - 87*c**2*f*h + 53*c*h - 240933*f - h wrt c?\nAnswer: 6*c**2 - 174*c*f*h + 53*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 4 - (-5 - 5 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 6*i + 154. Let t(u) = -2*u**2 - u + 4. Let n(o) = -7*o**2 - 7*o + 28. Let x(d) = n(d) - 7*t(d). Let z(a) = 133*a**2. Give i*x(p) - 4*z(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 124 and 14436886.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwgwwggwwwwwwwwwgg. Give prob of picking 2 g and 1 w.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2655 by 5.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*b = -5. Suppose 149 + 66 = b*v. Suppose -87 = -5*q - 4*s, -4*q = q - 3*s - 66. Calculate the remainder when v is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3312250 rounded to the nearest 10000?\nAnswer: -3310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8.15 + -103858\nAnswer: -103849.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 273*d**2. Let i(u) = 6*u + 2*u - 9*u - u. Give p(i(l)).\nAnswer: 1092*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + ((-45)\/21)\/(255\/(-8330)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*s = 12. Let n be 3\/s + 11\/4. Let f(q) = 4 - 2*q + 2*q**3 - 4*q**2 + q**n - 4*q**3. What is f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -280*p**3 - 375*p**3 + 107*p**3 + (0 + 6 - 3)*(p**3 - 3*p**3 + 3*p**3) + 0 + p**3 + 0 in the form n*p + l*p**2 + m*p**3 + s and give m.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-3)\/t)\/t)\/(t\/(t*t**6\/t*t)))\/((t*t**(1\/5))\/t)**(-31) assuming t is positive.\nAnswer: t**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5 and -162.764566.\nAnswer: -167.764566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 9. Suppose 0 = -8*z + x*z + 150000. Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**2 - 2 + 89*a**2 + 0 + 2 - 89*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of b**4\/6 + 12*b**2. Let a(h) = -2*h. What is q(a(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 1:05 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 71737*v**2 - 5 + 0.\nAnswer: 71737*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 14935070 divided by 4990\nAnswer: 2993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/550*1\/3*4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 - 5754370*v + 1655638704845.\nAnswer: 5*(v - 575437)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**4\/6 - 34*r**3\/3 + 4621*r**2\/6 + 5974*r\/3 - 83930 = 0. Calculate r.\nAnswer: -109, -11, 10, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*(sqrt(78) - (sqrt(78) + (sqrt(78) - 1*sqrt(78) - sqrt(78))))*-4)\/(-2*(sqrt(54) + sqrt(864)*2)).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {h: 3, l: 4, p: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 + d - 6. Let f(m) = -3*m**2 + 4*m**2 - 5 + m**2 - m**2. What is -2*b(y) + 3*f(y)?\nAnswer: y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/677696 and -37\/254136.\nAnswer: 2033088","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.9 + -3. Let z = 967 - 967.1. Which is the nearest to z?  (a) -2\/7  (b) 5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/6780 and -139\/678.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7323948.00134 + -7324046. Let i = -98 - c. Round i to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60461983 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -47*t**3 + 5*t - 18. Let u(n) = -2*n**3 - n**2 + 2*n - 1. Let j(p) = -2*u(p) + z(p). What is the thousands digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 24*i + 163. Give h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + -10101?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 44543.35 to the nearest one hundred.\nAnswer: 44500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6\/7  (b) -53.8829  (c) 5  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-9) + -1*680\/(-24). Let d be 1113\/15 + v\/35. Calculate the greatest common divisor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 730, 1982, 4062, 6964, 10682, 15210, 20542?\nAnswer: 26672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 1. Let c be (56\/7 - 8)*(-2)\/(-6). Sort -4, c, g in decreasing order.\nAnswer: g, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30578.14 rounded to the nearest one hundred?\nAnswer: -30600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4*o - 22, o + 96 - 91 = 4*i. Suppose 3*p - 25 = 29. Calculate the lowest common multiple of o and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*f + 4*z, 4*f - 53 + 14 = -5*z. Let v = -3 + f. Let l = 5 - v. Solve 0*d - l = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 5*m = -485 - 281, 5*b + 1330 = 5*m. Let c = b + 586. Suppose -2*x = -166 - c. What is the highest common factor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 AM and 4:43 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 27282419485 less than 820?\nAnswer: -27282418665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*d - 1671 = 0, 12*a = 7*a + 4*d + 1673. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73562 is divided by 130.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of h**4 - 486537*h**3*j + 32029*h*j wrt h?\nAnswer: 12*h**2 - 2919222*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssjxejiijsiis. Give prob of sequence jx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 4) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 106 + -16. Let s be 10\/(-5) - -1 - -1. Suppose n = -s*n + 31. Calculate the remainder when g is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55327757 to the power of 1\/2, to the nearest integer?\nAnswer: 7438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15.4 + -15. Let o = -0.1 + k. Which is the third smallest value?  (a) 0  (b) -3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33980068.\nAnswer: 2, 359, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 7:57 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1188049 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 8 + 3*o)*(5 - 13 + 5) as i + r*o and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 4260.187um?\nAnswer: 4260187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 2:27 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*t + 20586 - 21477 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**4\/5 - 683*t**3 - 1339276*t**2\/5 = 0. Calculate t.\nAnswer: -2963, -452, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.219 bigger than 11218.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*w**3 - 1068764*w**2 + 36145*w - 206 wrt w.\nAnswer: -12*w - 2137528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 400*v - 401*v + 23, -4*v = f - 24 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.4, -52\/51, 2 in descending order.\nAnswer: 4, 2, -0.4, -52\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/4*12\/(-14). Let f = -9 + -22. Let w = 31.4 + f. What is the smallest value in j, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14215504 (base 6) to base 9.\nAnswer: 817754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (4 - (2 + (13 - (-12 + 15) - -72)))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = v - 51. Let f = v + 64. Calculate the highest common divisor of f and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2\/7))**(2\/17)\/(u**(-2\/25)\/((u*u**(-12))\/u)))**(2\/39) assuming u is positive.\nAnswer: u**(-23708\/38675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8228 is divided by 92?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/6*(-42)\/(-224).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - -12 - (3 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 45655 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 10*y**2 - 59*y + 47. Let s be p(14). Solve 4*v - s*w = 28, -2*v + w + 4 = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 9:04 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1521 + 118657\/78. What is the common denominator of c and -17\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2272 + -6814\/3. Let j = 1741\/8 + -218. Let n = 12 + -8. Which is the smallest value?  (a) j  (b) n  (c) -0.8  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11243 - 131 = 326*p - 9322 + 874 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -4. Let o(n) = -n + 1. Let v(h) = -1. Let b(x) = l*v(x) + o(x). Let s(d) be the first derivative of d**3\/3 - 1. What is b(s(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1869691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -70 or 64?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-1 + (4 - 1)). Suppose 0 = -3*g + 2*j - 7, -j = -g - 2 - v. What is the nearest to g in 0.1, 0.3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 + 420?\nAnswer: 420.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -236, -3, -0.2, -2, -225.\nAnswer: -236, -225, -3, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3*k - 27, 5*h + 6*k - 2*k = 0. Let b be h\/14 + 78\/21. Solve -3*j - 13 = -0*j - 5*s, 4*j + b = 4*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r**2 + 0*r**2 + r**2 + 2*r + 3*r**2 in the form p + w*r + s*r**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + (-3)\/66*-24. Let x = c + 92\/77. Let h = -20 - -12. Which is greater: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 5. Suppose s + 0 - 5 = 0. Let w be 4*(10\/12)\/s. Which is the nearest to 1\/3?  (a) -3\/5  (b) j  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8557 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -22*o**2 + 92*o + 4128. Calculate i(0).\nAnswer: 4128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 5) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + 9.4. Sort 2, -2\/21, b in decreasing order.\nAnswer: 2, b, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 118334.67 microseconds to minutes.\nAnswer: 0.0019722445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -2 + 4 + (2 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 2, 32, -4, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -41210, -45157, -49104, -53051, -56998?\n\"Answer: -3947*o - 37263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 7:07 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3603693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -471, -1682, -2895, -4110?\n\"Answer: -z**2 - 1208*z + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 6:54 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1376*m**3*u + 86*m**3 + 622*m**2*u + 59*m**2 + 21*u**2 + 5821 with respect to u.\nAnswer: 1376*m**3 + 622*m**2 + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8872008 is divided by 286193.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 0.0668\nAnswer: -0.02672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89798 is divided by 22391?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39*p**4*u**2 - p**4*u + 50*p**2*u + 2*p + 2*u**2 wrt p.\nAnswer: -936*p*u**2 - 24*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 2, 3, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2792331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48025533 is divided by 1067234.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1650558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -3*p**3 + p - 1. Let q(g) = -2*g**3 + 7*g**2 + 2*g + 9. Let s be q(4). Determine j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 18799 = -5*a - 26721, 4*o - 36456 = -4*a. What are the prime factors of o?\nAnswer: 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 603757 is divided by 709?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 75 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.303 - -4353?\nAnswer: 4354.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 8 - 10*q**3 + 9 - 12 to the form v + j*q**2 + o*q**3 + y*q and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -69*h**3 - 4*h**2 - 10*h - 10. Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {o: 4, s: 2, w: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2173858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 4*s + 6*s = -2, s + 3 = 4*i. Suppose -i = 3*l - 4*q + 12, -22 = 2*l + 4*q. Put l, 5, 0 in ascending order.\nAnswer: l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 344424297?\nAnswer: 3, 7, 16401157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9225*u**3 + 2 + 2*u - 4647*u**3 - 4607*u**3 - 657*u**4)*(1 + 2 + 0).\nAnswer: -1971*u**4 - 87*u**3 + 6*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + 24 - (-10 - -43).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1837 a factor of 89774190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -67, 2\/13, 0.2 in decreasing order.\nAnswer: 0.2, 2\/13, -0.5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -1) + (-6 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*y**2 + 5*y**2 - 7*y**2)*(-y**2 - 2 + 2) + (0 - y**3 + 0)*(y + 2*y - y).\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 57, 97, 207, 423, 781?\n\"Answer: 6*o**3 - o**2 + o + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*p**2 + 2885112 - 2885112.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 53 = 3*p, -3*w - 20*p + 21*p = -29. Calculate the greatest common divisor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.4871 times 38?\nAnswer: 1310.5098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -578621 (base 9) to base 6.\nAnswer: -11240501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2927\/204 - -1\/68. Suppose -c = -0*c + 1. Calculate the common denominator of (-3 - c)\/((-4)\/(-14)) and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8*(-8)\/56*-1*35\/(-30)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 5 - o**2 - 2*o**3 + o**2 to g*o**2 + d + i*o + s*o**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 8 = -3*m, -5*d + 8 = -m + 4*m. Suppose 14 = 2*o + 4*v, 0 = -o + 2*v + 4 - 1. Solve -2*f + f - d*s = 16, o*f + 8 = -2*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1120201 (base 4) to base 15\nAnswer: -1a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4289 + -0.1289. Sort -0.2, 6\/11, -5, 1\/3, d in ascending order.\nAnswer: -5, -0.2, d, 1\/3, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5*d - 29, 0*d - 3 = -5*m - 3*d. What is the units digit of (4 - (m + -4)) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4 - 4)*(-36 + 340 - 7236*l - 304).\nAnswer: 14472*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -640*h + 3790 - 3810 - 17900 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 182.58 + -183. Put p, 0, -3, 0.4 in ascending order.\nAnswer: -3, p, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 5.61925\nAnswer: -5.61925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 31 - 2*u - 12 - 2 - 73*u**3 - 17 in the form z + y*u**3 + o*u + f*u**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-1*(sqrt(114)\/(sqrt(48)\/sqrt(8)) + (sqrt(76)*2)\/sqrt(4) + 2)**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/(-7) - (-20)\/35. Suppose 0 = -12*h - 52 + 4. Let d(y) = y**3 + 4*y**2 - 8*y - 10. Let m be d(h). Solve 4*c - j + m = 4*t, -c + 2*t = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -21*p - 7. Let u(y) = 181*y - 38. Calculate n(u(z)).\nAnswer: -3801*z + 791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 98. Suppose -6 = -3*x, -2*x = 3*p + 2*x - 62. Let z(o) = -2*o**2 + 35*o + 29. Let d be z(p). What is the greatest common factor of b and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 5.97. Let h = v - -2.03. Let y = -393 - -787\/2. What is the second smallest value in 2\/3, h, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6668572.9 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.6, 2, 0.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 + 12. Let d = o + 9. Suppose 2*l + d = 10. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggo when three letters picked without replacement from pgvovgmvpmxovo.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -15146*w**2 - 2*w**3 + 2*w - 6*w - 31*w**4 + w + 15154*w**2 as o*w**2 + i*w**4 + v*w + n + r*w**3 and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -79465 times 762?\nAnswer: -60552330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240835 is divided by 5124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, h: 1}. Give prob of sequence uv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 - 6. Which is greater: -29 or u?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 696182?\nAnswer: 2, 587, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 341557248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/5, -1, 2\/7, 0.9, -0.041, -11?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 148694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 842*k**3 - 4*k**2 + 69*k wrt k.\nAnswer: 5052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 1 - (-5 + (8 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 - 5*m + 7. Let z be b(5). Let i = -11 + 15. Solve i*f - z + 27 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187578436.\nAnswer: 2, 6091, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17.82 - 18. Let f = x + -0.12. Let d = -0.2 + 0.7. Which is the biggest value?  (a) f  (b) 0.1  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223973467?\nAnswer: 29, 331, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.1 + -608622.\nAnswer: -608614.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-8 - -19) + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 260 and 150.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z + 17. What is the smallest common multiple of a(5) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 2*y**2 - 13*y - 5. Let o be r(5). Which is the second biggest value?  (a) -2  (b) 4  (c) o  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**3 + 912*z**2 + 13113*z + 31212.\nAnswer: 3*(z + 3)*(z + 12)*(z + 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -4, -33\/7, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 5 - 13. Solve -k - i*f + 10 = 0, 2*f - 2 = 2*k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1384605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z - 1. Let o be i(-3). Let t(y) = y**3 + 9*y**2 + 9*y + 8. Let d be t(-8). Let a = o + d. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*((-11)\/2 - (-5)\/(-10)). Suppose -16*g + 13*g = -n. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(3 + sqrt(1377)) + 2 + sqrt(1377) + 3)*-1)**2.\nAnswer: 144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -5*u - 28, -57*u + 5*s = -53*u + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 134\/4 - 3\/(-2). Suppose 5*q - q = h - r, -2*q = -3*h + 75. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1459032498 to the power of 1\/3, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.07?  (a) 0.1  (b) -1\/62  (c) 0  (d) 4  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**8)**(-31)\/(q**47*q*q*q\/(q**(2\/37)\/q)) assuming q is positive.\nAnswer: q**(-11061\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0  (c) -1  (d) 304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-53728)\/(-138))\/73*-42*(-5)\/40?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 472.066 - 12.556. Let t = -542 - -94. Let m = t + w. What is m rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2923294 is divided by 155.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -1\/4043521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 115440, 113651, 111862, 110073?\n\"Answer: -1789*a + 117229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -2 - (2 - (11 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -9*l**4\/2 + 167862*l**3 - 14355345*l**2 + 304860282*l + 206442699\/2 = 0.\nAnswer: -1\/3, 43, 37217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4020373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 5, 0.5 in increasing order.\nAnswer: -0.5, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 464*a*i - 993*i - 1 wrt a?\nAnswer: 464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5035533761 + 2?\nAnswer: -5035533757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-49)\/3)\/7*((-648)\/(-4578))\/18?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 745 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h - 1. Let m be b(-1). Suppose 0 = m*u - 2*q - 2846, 0*u + 2*u + 4*q - 2828 = 0. List the prime factors of u.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -3*m + 943, 5*u = m + 156 - 476. Solve -8*z - 37*z = -m for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -1248*r. Let u(p) = -75*p**2 - 74*p**2 - 79*p**2 - 69*p**2 + 296*p**2. What is v(u(l))?\nAnswer: 1248*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 541258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(3\/8))**(-34\/3))**(28\/9) assuming t is positive.\nAnswer: t**(-595\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1490529 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*m + 1734 = 569*m - 4496 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -23 - -1 - (57 + (21 - (123 - 26)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 189 - 4104\/(51 + -15)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and -2.08029866216.\nAnswer: -2.38029866216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 20\/9 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1011213 + 12?\nAnswer: 1011230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -981, 4965, 4 in decreasing order.\nAnswer: 4965, 4, -981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {g: 1, b: 3, l: 1, j: 6, h: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*82*(-2)\/(-8). Let g = h + -10. Let s = g - 16. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from {i: 1, h: 5, a: 3}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 2*a + 3*a)*(2 - 1 + 0 + (3 - 4 + 3)*(-2 + 1 + 3) + 32 - 6 + 13).\nAnswer: 264*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 141?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/510 and 41\/17901?\nAnswer: 179010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 6155, -1\/14, -2, -4, 0 in descending order.\nAnswer: 6155, 0, -1\/14, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 + 72. Let c(x) = -84 + 43 + 3*x + b. Let f(i) = -4*i - 3. Determine 5*c(r) + 4*f(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 50*b**2 + 1257*b + 300. Calculate w(-25).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -0.2  (c) -19  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 3 - 3)*(-1 - 3 + 2) + 1 - 2 + 2)*(-2*d + d - d)*(3*d + 2*d**2 - 3*d).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 244.7 + -275. Let p = 5.3 + j. Let c = 23 + p. What is the nearest to 1\/4 in c, -0.7, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -28073 and -83.8.\nAnswer: -28156.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -4\/119689989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 608881.2l to millilitres.\nAnswer: 608881200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-36688)\/896 + 3\/(-24). Let i = -81\/2 - j. Factor -8\/7 + 2\/7*y**2 + i*y**3 - 16\/7*y.\nAnswer: 2*(y - 2)*(y + 2)*(2*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**7\/t)\/(t*t*t*t**(2\/15)\/t)*(t*t*t*t*t**31*t)\/t**(-6\/17) assuming t is positive.\nAnswer: t**(10256\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 10*d**3 + 4*d**2 + d + 4. Let a(z) = -11*z**3 - 5*z**2 - z - 5. Give 4*a(u) + 5*m(u).\nAnswer: 6*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 3*m**3 + 3*m**2 + 11*m + 1. List the prime factors of g(4).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 + -3)*-1 + 56\/60*-15\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -43120.\nAnswer: -8624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 7:44 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20223 is divided by 71.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -207 + 207.0262. Let w = 806 - 805.966. Let j = w - f. Round j to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13141103 (base 6) to base 11.\nAnswer: -276455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -443436 and -0.5.\nAnswer: 221718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 12 = -n, -8*v + 3*v = -3*n - 8. Let a(i) = -7*i - i + v*i + i. Let z(p) = p + 0*p - 3*p. Calculate a(z(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 63801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 1085082.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 152670688 and 736?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*j**3*s**2*y - 5*j**3*y - 2*j*s**2*y + 38*s**3*y + 16*s wrt s.\nAnswer: -4*j**3*y - 4*j*y + 228*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (15*i + 9*i - 15*i + (i + 2 - 2)*(-1 + 2 + 1) + i - i + 2*i)*(3 - 3 + 1)*(-6*i + 7*i + 0*i)*(5 - 4 - 2) as w*i + f*i**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(-12))*v)\/(v\/(v**(-1\/23)\/v))*(v**(-2\/13))**36 assuming v is positive.\nAnswer: v**(1620\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 738281963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -176249, -176209, -176141, -176045, -175921, -175769?\nAnswer: -175589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1820 + -1819. Let n(u) = 4*u**2 - u - 1. Let r be n(-2). Let q be (0 - 2\/2) + r. Solve 5*b = -4*z + 4*b - c, z = 3*b + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4929239564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 7*f - 6. Let l be g(-6). Are l and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 1444552?\nAnswer: 1444550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**3 + 10*w**2 - 22*w - 61. Calculate g(-5).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -6*b. Let q(t) = t**2 - 2*t + 2. Let w(g) = 9*g**2 + 7*g - 6. Let n(h) = 6*q(h) + 2*w(h). What is n(j(p))?\nAnswer: 864*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2195 divided by -5.\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of b**4\/12 - b**3\/6 - 3*b**2\/2 - 18*b. Determine f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 9:10 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**2 + v - 10. Let r(d) = -3*d. Let c be r(-2). Let l = c + -9. Is 13 a factor of k(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -173*q - 685. Let d be l(-4). Let o(b) = b - 1. Let v be o(0). Let p be 3 - (-3)\/(-3)*v. Solve d*x - p*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 + 4*g + 4. Suppose -2*a + 12 = -4*a. Give k(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 128 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9085?\nAnswer: 5, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3493 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: In base 13, what is 73 + 2bc?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.032339 to 4 decimal places.\nAnswer: 0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 3. Let u = -44.15 - -41.15. Put h, u, -2\/3 in decreasing order.\nAnswer: h, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 71922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -0*u - 15. Suppose -u*q + 93 = -150. Suppose 5*i + 5*t = -31 + q, 3*i = t + 22. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 7*r - 1105 = 0. Suppose 0*f + r = f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**1)**(-39)\/(f*f\/((f**(-1\/7)*f)\/f)*((f\/(f\/(f**(-1)\/f)))\/f)\/f))\/(f*f*f**6*((f\/(f\/f**(2\/3)))\/f)\/f*(f**(-2\/3))**(-27)) assuming f is positive.\nAnswer: f**(-1298\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 21\/(-9)) + (-3542)\/42. Let z(q) = -37*q. Let n be z(-3). Let d = n + h. What is the highest common divisor of d and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = 3*u - 10. Calculate the least common multiple of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38349911 to the nearest integer?\nAnswer: 6193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*f = -14*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 3 = 53*l - 57*l, -3*g - 2*l - 11 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 51*p + 179. Let b(c) = 66*c + 179. Calculate 3*b(d) - 4*v(d).\nAnswer: -6*d - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 95500*x**3 - 4*x**2 + 9*x - 2. Let y be v(2). What is y rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -797 + 887. Calculate the least common multiple of 50 and g.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 2311.404 millimeters?\nAnswer: 2.311404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*b - 77 = 147 + 91 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.025388 hours to nanoseconds.\nAnswer: 91396800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) -0.1  (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3871803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(704) + 0 + 0 + sqrt(704) + 0 + sqrt(99) + (sqrt(11) - (sqrt(11) - sqrt(891)*-2) - sqrt(11)) + 5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-9)*3*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1441287 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/677148 and 31\/888?\nAnswer: 50108952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55453524 (base 6) to base 15.\nAnswer: -23035d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 6, 8 in increasing order.\nAnswer: -5, 4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -309*a**3 - 4*a**2 - 5*a + 18. Let m be i(-9). What is m rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -106, -90, -54, 8, 102?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -862004 or -862005?\nAnswer: -862004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 18*s**2 + 15*s - 6. Let o be x(-17). Let i = -28 + o. Let t = 3.9 + 1.1. Which is the smallest value?  (a) -2  (b) i  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 divided by -27\nAnswer: 31\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -22*n - 2. Let p(x) = -7*x - 1. Let z(u) = 3*b(u) - 8*p(u). Differentiate z(r) with respect to r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10235556 is divided by 4888.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3 = -21. Solve -y - 24 = 4*n - t*n, 3*y + 24 = 3*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + 2*sqrt(128) - sqrt(128) - -6*(sqrt(2) + sqrt(6)\/sqrt(3))) + 5)**2 - (4 + (sqrt(200) + 1)**2)*-4.\nAnswer: 440*sqrt(2) + 3437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 1133*u. Let t(v) = -66861*v. Calculate -119*g(l) - 2*t(l).\nAnswer: -1105*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -58860 - -86521. Is l a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 561842 - 1442?\nAnswer: 560400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7821867 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*l**4 - 3085512*l + 6004158 wrt l.\nAnswer: -12*l**3 - 3085512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**2. Let b(f) = -1584*f**2 + 11*f - 2. Calculate b(h(v)).\nAnswer: -6336*v**4 - 22*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 3*o**3 - 425*o**2 - 156*o + 469. Calculate w(142).\nAnswer: -1519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4*r + 20 = 3*t, 4*t + 3*r = 17. Let y = 68893\/12 - 5737. Calculate the common denominator of y and 0 + t\/(80\/(-26)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112 (base 7) to base 12\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 1\/3*p**3 + 1\/2*p**2 + 2 + p. Let s be i(-4). Calculate the highest common factor of 104 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30468 divided by 6\nAnswer: -5078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) -4  (c) -533  (d) 0.05  (e) -22\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10612*f**3*g**3 + 91*f**3 - 3*f**2*g**2 - 88*f**2*g + 8*f*g**3 - f*g + 10*g**2 wrt f?\nAnswer: 63672*g**3 + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**5 - 8936*k**4 - 53640*k**3 - 107294*k**2 - 89417*k - 26826 = 0.\nAnswer: -3, -1, 8942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 4*p - 2*y + 16, -4*p + 4*y = -8. Factor 26\/17*q - 8\/17 - 30\/17*q**2 - 2\/17*q**p + 14\/17*q**3.\nAnswer: -2*(q - 4)*(q - 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 + 37. Is -3 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -12*w**2 - 11*w + 2. Let f(g) = 4*g**2 + 4*g - 1. Let a(u) = -8*f(u) - 3*x(u). What is a(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w + 2*w + w to b + l*w and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**3 + 2*l**2 - l. Let v be k(1). Let t(y) = 5*y**3 - 3*y**v - y**3. Let q be t(1). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 - 14.93. Let i = 7.93 + f. Let x = i + -7.9988. What is x rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i - 5. Let h be g(-6). Let p be 8\/(-24)*0\/h. Suppose w - x - 1 = p, 0 = 2*w + 3*x - 6 - 1. Calculate the greatest common factor of 6 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 265066?\nAnswer: 2, 132533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -v - 2*v + 9516*v**3 + 4*v**2 + 3*v - 9522*v**3 in the form z*v**2 + t*v**3 + b + o*v and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229 = 4*u - 5*y - 112, 2*u - 4*y - 178 = 0. Suppose -203 + u = 4*b. Sort b, 2, 5 in decreasing order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/14, 2\/5, -3\/2 in ascending order.\nAnswer: -3\/2, -1\/14, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 303020?\nAnswer: 303014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3051, 3054, 3059, 3066, 3075, 3086, 3099?\n\"Answer: u**2 + 3050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -66435402 + -262?\nAnswer: -66435664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 14*d = 16*d - 46, 3*x = -d + 33. Solve -46*m - 266 - x = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 + 4204*l + 23 + 2691*l to the form q + x*l and give x.\nAnswer: 6895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 + 12*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1\/n)**(-49)\/(n**(2\/9)\/n*n**(-1))*(n\/(n*n*n**(2\/3)))**(-1\/32)*(n*n*n**(3\/2)*n)\/(n*n**(-6)*n) assuming n is positive.\nAnswer: n**(2975\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 127\/344 - 21\/86. What is the nearest to 2 in j, 6, -0.2, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 40*q + 1. Let v be t(4). Suppose -67*f + 1051 = -182 - 308. What is the greatest common divisor of v and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -1 + sqrt(1216) - (-3 + 0 + sqrt(1216)))*-6)**2*-6.\nAnswer: -7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 3*y**2 + 3*y - 17. Determine h(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 129430752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 7  (b) 3\/2  (c) -15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59536, 237170, 532892, 946702, 1478600, 2128586?\nAnswer: 2896660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 23 = -8. Let w be (-3)\/14*20\/f. Let h = 15 + -12. What is the closest to w in 0.5, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**4 + 12*v**3 + 24*v**2 + 20*v + 6 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 25234 = -11*u - 12*u. What is the remainder when u is divided by 164?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 199912662 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*n - 55*n = 18. Let a(s) = -s**3 - 10*s**2 - 11*s - 9. Give a(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 32*o + 644. Let b be g(-14). What is the nearest to 2\/5 in 5, 0.05, 2\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/24 and 53\/1197448.\nAnswer: 3592344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*l - 5*y, 401*y - 406*y + 25 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-22))**(-16\/9) assuming p is positive.\nAnswer: p**(352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -23*u - 4710. Let b(i) = i**2. Calculate q(b(h)).\nAnswer: -23*h**2 - 4710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -22455 - 10?\nAnswer: -22465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42740 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.104 and -6989883.\nAnswer: -6989882.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5304*j - 5 + 5 + 2650*j + 1791*j.\nAnswer: -863*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-56 - (-3 - (10 - -1)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 102806130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -7*d + 1. What is o(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(272) + 0) - sqrt(272))**2 + 4 + -1*((sqrt(187) + sqrt(187) + -1*sqrt(187))\/sqrt(11))**2*-5.\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33560 is divided by 16772.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7208*w**3 - 31561*w**2 + 185690401 wrt w.\nAnswer: 21624*w**2 - 63122*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -552662 - 552293 + 1104955 - 65*f.\nAnswer: -65*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -937 + -19841?\nAnswer: -1a678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f. Let p be 7 - 8 - 1*-5. Let b(q) = 70*q**2 - 55*q + 55. Let t(a) = -5*a**2 + 4*a - 4. Let m(s) = p*b(s) + 55*t(s). Calculate x(m(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.42 and -8.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.8 - -2. Let z(u) = -3*u**2 + 238*u - 2424. Let a be z(12). What is the closest to -1\/2 in -0.2, a, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -47*j**2 - 79. Let b(d) = 7*d + 81. Let z be b(-12). Let q(h) = -46*h**2 - 79. Let a(p) = z*q(p) + 2*o(p). Differentiate a(v) wrt v.\nAnswer: 88*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 + 7*b + 6. Let r be o(-6). Suppose 0 = -t - r*t + 1. Let v(d) = -d + 2. Calculate v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157 = -4*t + 4*o - o - 237, 651*t + 2*o = 651*t + 260 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4*d + 0)*(-2*d - 4*d + 2*d) + 2*d**2 + 0*d**2 - d**2 + 2*d**2 - 4*d**2 - 3*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -140?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -696 - -679 - (-4 + 0 + -24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -195*z - 1. Let l(i) = 21850 - 11*i - 21850. Give j(l(o)).\nAnswer: 2145*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 + 20. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 4*b**2. Let r(j) = 3*j - 6. Give s(r(n)).\nAnswer: 36*n**2 - 144*n + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 91 and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -639 - 14873 = -7*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2 = 2*d, -4*d = -2*g - 2*g - 28. Calculate the greatest common divisor of d and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3969 by 189.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 1\/8, 0.05574, 5, 1\/6, -0.4, -19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/275, 121, -2.2 in descending order.\nAnswer: 121, 4\/275, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -2*y + 1. Let x = 6 - y. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 x, and 2 q when four letters picked without replacement from iiqqqgzxgi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2797004 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 divided by 67?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 13 + -33 + 27 - 64\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 808673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -2*h**3 - 1\/12*h**4 + 2*h + 2*h**2 + 0. List the prime factors of v(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 3:46 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -6*j - 6. Let g(s) = -2*s - 1. Determine 7*g(c) - 2*y(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(1053) - (sqrt(1053) + -1)*4) + -1 - (-3 + (sqrt(1053) + 4)*1)))**2.\nAnswer: -1296*sqrt(13) + 151668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1716310 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-33)*k\/((k**(-2\/3)\/k)\/k*k))\/(k**4*k**(-10)) assuming k is positive.\nAnswer: k**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2108922 is divided by 2929?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*k**2 - 18*k**2 + 27*k**2 in the form f + d*k + y*k**2 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8440, -16881, -25322, -33763, -42204, -50645?\n\"Answer: -8441*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2871*w**2 + 24. Let f(b) = -19*b**2. Give t(f(j)).\nAnswer: 1036431*j**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147610496 is divided by 89?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, y: 4, a: 3}. Give prob of picking 2 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - 1)*(4 - 1 - 1) - 1 + 2 + 1 + 5 - 3 + 3)*(0*g + 3*g - 2*g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*w + 511965 = 1160333 + 978396. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -63, 125, -826 in increasing order.\nAnswer: -826, -63, 0, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44353 (base 11) to base 9.\nAnswer: -107184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = -o - 42. Let k = 223 + o. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(72)*-1 + -2*sqrt(72)*-6)\/(sqrt(48)\/(sqrt(12) - ((sqrt(72) + (sqrt(72) + -1*sqrt(72) - sqrt(72)) - sqrt(72)) + sqrt(72))\/sqrt(6))).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2892110?\nAnswer: 2, 5, 13, 22247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3*r - 18. Let p be j(6). Solve p = s + 4*x - 6, 0 = -3*s + 6*s - x - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o**2 - 12750*o + 7928195 = 0.\nAnswer: -3067, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*a - 29*a - 2663*a**3 + a**2 - 21*a.\nAnswer: -2663*a**3 + a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - 1. Let a(r) = r**3 + 10*r**2 - 2. Let g = 16 - 26. Let x be a(g). Put d, x, -3 in ascending order.\nAnswer: -3, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 60, 70, -8, -216, -596?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 2*q - 10, 3*q = q + 8. Let l be (30 - 33) + (1 - a). Are -5\/41 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1152 (base 12) to base 11\nAnswer: 14a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 21 = 2*g, -2*y + 84 = 2*y + 4*g. Suppose 5*w = -0*w + 30. Let p = -5875 + 5893. Solve 0 = 5*x - a + p, 4*a + w - y = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 2*u - 69 = 5*u + 6*u, 10*q + u + 15 = -23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.06 - 0.0216677.\nAnswer: -0.0816677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2*a + 19 = 0, -4*u = 2*a - 7 + 23. Let h be u*(-5)\/((-100)\/(-8)). Solve h = 2*g - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 5*f**2 + 6*f. Let k be n(-5). Let y = 88 + k. Calculate the highest common divisor of y and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1558819840 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1071796 by 535898.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38847496 + 38847496 - 9*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11322213 + -121003?\nAnswer: 11201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 622729 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32753 is divided by 745?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3314, 3068, 2634, 2012, 1202, 204, -982?\n\"Answer: -94*w**2 + 36*w + 3372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/296120 and -61\/16932680.\nAnswer: 186259480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150460 is divided by 106?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/7, 7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of 6 + 4*u**2 + 0*u + 17\/5*u**5 + 4*u**3 - 1\/2*u**6 - 15\/2*u**4. Factor x(j).\nAnswer: -j*(j - 2)**3*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 146 in 4, -0.03, -6\/859, 4\/7, 0.4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 504 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a week in minutes?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16)\/(-36)*2\/(-8). Suppose 7*d = 3*d - 8. Let y = 8 + -8.2. What is the second smallest value in d, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 1 + 4*u**2 - 2*u - 5*u**2 - 6*u - u. Let y be g(-7). Let n = y + -5. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 11:59 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 650.8167ml?\nAnswer: 0.6508167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/10 + (-7)\/(-175)*-5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150 - 1082 = 932*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 8*j + 4. Let f be m(-7). Let u(h) = -f + 3*h - 3*h - h + 10. Calculate u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122203131 (base 5) in base 13?\nAnswer: 6ab234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 69.9 not equal to 6579.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 31490.52507 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3 - 2 - (-2 + (-1473)\/3)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5786465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 476 divide 9520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from fzfzzfqzgfzzzfffz.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3620553 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + -3 + 2 + -3. Let h be -2*(p\/(-4))\/1. Suppose 4*o + 21 = 3*n, -3*n - 4*o = -2*n + 9. Put h, n, -2 in descending order.\nAnswer: n, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kbxxlraxrxxxkkraxll. What is prob of sequence blrr?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -162\/11 or -16?\nAnswer: -162\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49*p**2 + p**4 + 43*p**2 + 5*p**4 wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4623 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 10, -4, -6181?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {t: 1, u: 2, z: 2, e: 8, n: 1, p: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 365, 540, 583, 494?\n\"Answer: -66*q**2 + 373*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -246*(143\/(-44))\/(-13)*((-10)\/(-3))\/5\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4*z = -6*z + 88, 3*d + 4*z - 130 = 0. Let w = d - 41. Find the second derivative of -479*l**w + 489*l**5 - 3*l - 9*l wrt l.\nAnswer: 200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10390 + 10389.9992304. Round o to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1221 + -21222122020?\nAnswer: -21222201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 7) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - 2*l - 6. Let b(r) = -2*r**3 - 6*r**2 + 3*r + 10. Let c be b(-4). Let o = c - 25. Give h(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 74784, 74586, 74250, 73770, 73140, 72354?\n\"Answer: -k**3 - 63*k**2 - 2*k + 74850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204)\/(sqrt(96)\/(sqrt(8)*-4)))**2 - (-3 + sqrt(204)\/(sqrt(72)\/sqrt(6))))*3.\nAnswer: -3*sqrt(17) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 6*i = 20. Suppose -6*m - 3*x = -9*m - 9, 0 = -2*m + 5*x - 21. Solve -6 = -m*h - i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a**2 + 5*a**3 - 3*a**3 - a**3)*(6*a + 4*a - 12*a + (-3 + 3 - 2*a)*(0 - 2 + 4)) as w*a**2 + m*a + f*a**3 + s*a**4 + r and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3*x = -24. Let h(s) = -3 - 2*s**3 - s - s - 7*s**2 - 6*s + s**3. What is the units digit of h(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2307 + 1 + 168\/14 + -18?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2923\/11 - 267. Find the common denominator of -89\/6 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 3*g = -8*p + 8, -3*p = -g - 12. Let x(d) = -d - 4. Let q be (2 - -1 - 0) + -8. Let f be x(q). Solve m = f - p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2*(-185)\/10)\/(1\/5). Let f = t + 187. Let c = 4 + 5. Solve n - c = -f*r, 0 = -3*r + n + 5 + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -5, 2\/7, 0, 22, 193?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 31*k + 1170 = -2128 + 227 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 5351*g - 59. Is w(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (46\/6)\/(22\/(-6) - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 12. Suppose 20 = w*b + 4*i, -b + 20 = -3*i - 15. Let x = 390 + -210. Calculate the highest common divisor of x and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32 - -72. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-10)\/35 - 116976\/(-168).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 4*r**3 + 0 + 4 + 4.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/25)\/((4\/(-5))\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1443 equal to -259811\/180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 0*j + 12 = 3*u, -4*j + 3*u - 13 = 0. Let n = -1239 - -1433. Let t = n - j. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -949, -1896, -2843, -3790, -4737?\nAnswer: -5684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 169*q**4 + 37*q**3 + 15608*q**2 wrt q.\nAnswer: 4056*q + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((1 - 1) + -3 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24442 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 3.2, 3, -3, 227?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25608)\/5115 - -5)\/((-60)\/(-100))?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -146.7874.\nAnswer: -141.7874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence htt when three letters picked without replacement from bhhtbt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g - 3*q = -6*g + 1029, 3*q = 2*g + 420. Let z = 1524 + g. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 11:00 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 8*d**2 + 7*d - 2. Let l be 2 + (-16)\/4 + (-24)\/6. Calculate the lowest common multiple of o(l) and ((-3)\/(-2) - 1)*36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4528\/26640 + (-6)\/(-60)*-2. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30373 and 525019?\nAnswer: 3675133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1121304557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*d - 2*d - 2*d)*(94 - 14 + 51 + 5) to the form v*d + m and give v.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*-2*sqrt(65))\/(1*(sqrt(10)\/sqrt(2) + sqrt(5))))**2*-3.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2792 not equal to 2710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p - 2. Let c be u(3). Suppose -c*j + 24 = 12. What is the least common multiple of j and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 20207, 20206, 20205, 20204?\n\"Answer: -v + 20208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 252 and 4221.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 116 + -116.06. Let u = 5.03 - 5. Let m = u + d. Sort m, -5, -2\/19 in descending order.\nAnswer: m, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200849 is divided by 50209.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7796 is divided by 3200.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {e: 1, o: 1, k: 1, u: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + (-2)\/((-4)\/(4 + 0)). Suppose -30*i - 62*i**2 - 6*i**z + 36*i**4 - 15*i**4 - 34*i**3 - 17*i**4 = 0. What is i?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4622.02 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (234 - (-1 + 2)) + -7 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320717.4 rounded to the nearest one thousand?\nAnswer: 321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*k + 3*k - 2*k)*(-3*k + 0*k + 5*k) + (21*k + 129 - 129)*(3*k + 2*k - 2*k))*(2*k - 4 + 4).\nAnswer: 122*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -4*k**2 - 5*k + 1. Let x(d) = -2*d**2 - 2*d. Suppose 5*y - 19*j + 18*j = 30, 5*y - 15 = 4*j. What is y*x(u) - 3*b(u)?\nAnswer: -2*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -2056961.\nAnswer: -1028480.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 336 = -33*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 31*i**2 + 529*i + 555. What is a(-43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3652396179.\nAnswer: 3, 47, 509, 50891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18 + 8. Let f be (-5)\/(x\/(-8)) - -4. Suppose -1179 - 1110 = -3*d - 4*j, f = 2*j. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-7 - -13)) + 15 - (-1 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 29 = t - 63, 5*t - 477 = -2*b. What is the remainder when t is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -4*d + 8. Let k(s) = 1. Let f(w) = 8*k(w) - p(w). Let z be 30\/25*(-5)\/(-3). Let n(r) = 14*r**2 - 28*r**z + 16*r**2. What is f(n(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6733*b*f*u**3 + b*f + b*u**3 - 2400 wrt f.\nAnswer: 6733*b*u**3 + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 48) + 8 + -1 + 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 5:27 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -73.16 and -0.17.\nAnswer: 12.4372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c2 (base 13) in base 8?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 6*g**2 + 4*g + 26. Let p be w(-4). Let b = p + -37. Calculate the least common multiple of b and 33.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3, 14, 57, 138, 269?\n\"Answer: 2*s**3 + s**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -94*c - 91*c + 185*c - 4*c**2. Let v(b) = 16*b**2. Calculate w(v(h)).\nAnswer: -1024*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i + 1. Let f be g(-2). Suppose 0*t + w + 128 = 2*t, f*w = 4*t - 262. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**5 + a**5 + 0*a**5 + (3*a**4 - 3*a**4 - 2*a**4)*(-2*a + 4 - 4) + 62*a**5 + 1081*a**4 + 2*a - 1081*a**4.\nAnswer: 68*a**5 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -866*m**4*n - m**3*n**2 + 7276*n**2 wrt m.\nAnswer: -3464*m**3*n - 3*m**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 41 = 4*g - 10, 3*n = 2*g - 53. Calculate the smallest common multiple of g and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 24128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 25 = 5*l, 94*l - 2*u = 95*l + 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -33340 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1135012199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -3*g - 13, f - 515*g + 510*g + 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-10)*(-380)\/8. Sort 1, o, -1, -4 in descending order.\nAnswer: 1, -1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-2)\/(-4)*30\/(-6). Solve -h = -y*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.1 and -2\/1409 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 6 = 2*y. What is the third derivative of 3*o**3 - 11*o**3 - 6*o**3 - 5*o**y wrt o?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rexgxbttbrgt. Give prob of picking 2 g and 1 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8794, 8993, 9192?\nAnswer: 9391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 2 + 0 + 60*m**2 - 152*m**2 + 3 to b*m + q*m**2 + l and give q.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -806299 - -5?\nAnswer: -806294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*6103\nAnswer: -3051.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189070.\nAnswer: 2, 5, 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.045  (b) 0.2  (c) 0.6  (d) -6\/13  (e) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -6*d - 10. Let r(v) = v + 2. Suppose -3*c + o - 30 = 0, -5*o - 5 + 1 = -c. Let q(w) = c*r(w) - 2*a(w). Let h = -2179117 + 2179125. Determine q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 212098\/(-55170) + (-22)\/(-5).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4*s - 24 = -2, v - 4*s = 7. Suppose -2*d + 3*q = -9, -d + 5*d = 5*q + v. Solve 3*z + d = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y + 7*y - 16 = -3*q, -2*q + 4 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189489493?\nAnswer: 189489493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/17, 6027, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16 * -1.694.\nAnswer: -27.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0011858 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiqq when four letters picked without replacement from qiqippqqqqqqqqpqpqiq?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - r + 10 = 0, 6*r = 4*g + 8*r - 16. Let b be -2 + (4 - g) - -8. Solve -4*a = 4 + b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -0*j - 4*j + 72, -72 = -4*j - 2*m. Suppose -j*h + 152 = -14*h. Suppose 130 = 4*c - 2*o, 3*o + h = c - 2. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-3 - 1) + -1. Let s = b - -44. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*((5 - 1) + 3). Suppose z + b - 2*b = -a, 2*z = 5*b - 29. Let h be ((-4080)\/558)\/10 + z\/(-3). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2\/15  (b) 0.5  (c) -375  (d) 3  (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/((sqrt(600) - sqrt(6))*-5))\/((-2*sqrt(18) - sqrt(18))\/sqrt(3) - ((sqrt(150)*-1 - sqrt(150)) + sqrt(6)))*4.\nAnswer: -2*sqrt(2)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -97 in -0.3, -1, -0.5, 0.0412, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.9257 - -1.9257. Put -5\/2, -10.7, h, 0.5 in descending order.\nAnswer: 0.5, h, -5\/2, -10.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -378*z**2 - 27. Let s(d) = 29*d**2 + 2. Determine 27*s(x) + 2*v(x).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 48 - -1a09?\nAnswer: 1a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*44*2\/6. Let x be -7 + 8 + 46\/d. Is x less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v. Let o(p) = -p**2 + p + 7. Let r(l) = 6*d(l) + o(l). Does 13 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1142 - 1142. Let g(y) be the second derivative of 1\/4*y**5 + k*y**2 + 0*y**3 - 1\/6*y**4 + 0 - 6*y. Find the third derivative of g(w) wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*u - 7 = 10*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 64*3*21\/(-18). Let j be -2 - (t\/52)\/2. Let u = -76\/3 - -25. What is the third smallest value in u, -14, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 9:59 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -22, -157, -270, -349, -382, -357, -262?\n\"Answer: 2*f**3 - f**2 - 146*f + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/((-16)\/(-6))*-2055. Let c = 3150 - y. Let r = 69 - c. Is -2\/7 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 3)*13\/(-39). Suppose 7*h = -s*h + 70. Let w(r) = 4*r**3 - 10*r**2 - 10*r + 10. Let m(o) = o**2 + o - 1. Let i = -4 + 5. Give h*m(c) + i*w(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 45*c**2 + 56*c**2 - 98*c**2. Let q = -78 + 139. Let r(w) = -61*w + w**2 + q*w. Give r(o(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - w = 2*c + 20, 2*w + 22 = -4*c. Let f(y) = -y**2 - 2832*y + 31281. Let k be f(11). Sort k, w, -2 in descending order.\nAnswer: k, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d + 4. Let r(q) = 6*q**2 - 2*q - 2. Let z be r(-1). Let k(s) = s**2 - 9*s + 15. Let g be k(z). Let v be y(g). Is v less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7876 - -39382\/5. Sort s, -17, 4, -7 in decreasing order.\nAnswer: 4, s, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -4*j, -7*g = -3*g - 6*j - 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285882506?\nAnswer: 2, 7, 13, 17, 92399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 264 a factor of 61738776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {f: 10, v: 1, w: 8}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 10:26 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -8 - 12. Let g = 19 + -8. Let j be (-33)\/g*4\/(-3). Solve -2*x = a - j, -5*x + 4*a = -a - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0011 + -0.1011. Sort v, 1, -2\/145, -2 in increasing order.\nAnswer: -2, v, -2\/145, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -98 and -939.\nAnswer: 92022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 3)*(i + 3 - 3)*(-3*i + 4*i - 3*i) + 765*i**2 - 228*i**2 - 225*i**2 in the form g + c*i + a*i**2 and give a.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -2*o + 41. Suppose 2*q - 266 = -3*x, 5*x + 59*q - 56*q - 444 = 0. What is the smallest common multiple of x and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 564.000001258 - 564. Round u to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4586 - 2581. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - -10) + (3 - -7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -794 + 1409 + b**2 - 845.\nAnswer: b**2 - 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.02 - -0.01. Let z = 0.04 + n. Let k = z - 3.03. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*c - 26*c - 22*c - 16*c to the form n + m*c and give m.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1394 = -5. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 96139458 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.53*-607523.\nAnswer: 3967125.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8878, 36163, 81626, 145261, 227062, 327023, 445138, 581401?\n\"Answer: -k**3 + 9095*k**2 + 7*k - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/156 and 4\/11?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3708\/461 + -15293\/1844. Let y = -1.1 + 1. Let u = y + -0.1. What is the closest to u in 4\/5, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4263836539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, g: 1, w: 1, o: 1, t: 1}. What is prob of sequence kokw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -4685.\nAnswer: -1\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -d**9\/168 - 23*d**5\/60 - 4*d**2. Find the third derivative of b(s) wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 1 + 0 - 1 - 5*w + 1. Determine z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/7)\/(1\/7). Let r(m) = -m + 1. Let l(c) = -7*c + 3. Let t(y) = j*r(y) - l(y). Determine t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120905.4168us in weeks?\nAnswer: 0.00000019990975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/(-3) - 4\/(-3). What is the remainder when 48 is divided by c*(-4 - 17 - -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010 (base 2) in base 14?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5017.7648 and 32.\nAnswer: 160568.4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -8*t + y, 3*y + 1951 = 9*t + 1912 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/14 and 95\/2416.\nAnswer: 16912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11 - ((-1)\/1 - -2). Let x(y) = -y**2 - 51*y + 685. Let i be x(-62). Solve -4 = -i*a - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/435 and 7\/6786.\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2375.4355 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**2 + 3*r - 195. Let b be q(0). Let j = -120 - b. What is the greatest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jcccjcjjjcjcjjccjjjc. What is prob of sequence jjj?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, z: 4, a: 8}. Give prob of sequence zz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 585357 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 48 = -4*h, 0 = -4*h - 2226*y + 2225*y - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 6*x**2 + 5*x. Let g(s) = -s**2 - s. Let c(f) = -5*g(f) - j(f). Let a(n) = -n**2 + 2*n**2 + n**2 + n**2. Calculate a(c(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -5*t**3\/6 - 14905*t**2\/3 - 44372125*t\/6 + 88982890\/3 = 0.\nAnswer: -2983, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 341025 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -8*u**3 + 5*u - 1. Let j(a) = -23*a**3 + 14*a - 2. Give 3*j(z) - 8*w(z).\nAnswer: -5*z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 10 - 1 - 9*u**2.\nAnswer: -9*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 9*o + 10. Let g be b(8). Let z(h) be the first derivative of h**3\/3 - h**2\/2 - 2*h + 1. Let l be z(g). Is 2\/9 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18586, 18585, 18582, 18577?\nAnswer: 18570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 37\/5 + (-4)\/10. Suppose 3*t = j*t. Let g = 388 - 385. Solve -g*h + t*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36639 is divided by 475?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from {l: 2, t: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.128 and 0.5.\nAnswer: 1.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lf when two letters picked without replacement from lofxxxxm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1740*k = 24977 + 63763 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.1 - -5.31. Let s = -619.21 - -617. Let z = s + w. Which is the second biggest value?  (a) -1\/5  (b) 1\/4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, l: 4, j: 1, y: 9, c: 3}. What is prob of sequence lly?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -8. Let q(m) = -m**2 + 4*m + 2. Let b be q(p). Suppose -b*l - 4 = 0, 2*g - 5*l + 584 = 5*g. What is the highest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-4)*(-50)\/(-75)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 94\/30225 and -47\/6045.\nAnswer: 30225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - 38*g**2 - 10*g - 117. Let f be n(-38). Suppose -5*b + f = -0*b + q, 49 = b + 2*q. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6769412.\nAnswer: 2, 13, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dpppppppppppp. Give prob of picking 1 d and 2 p.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 4  (b) -0.35  (c) 0  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmoi when four letters picked without replacement from jjjmjiyyjojoiy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-700)\/40*(-2)\/1. Let u = -29 + 29. Suppose u = -3*i + 47 - 5. What is the greatest common divisor of f and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/60 and -113\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 24*q - 10. Let u be k(24). Let p = u + 28. Calculate the least common multiple of 16 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 4*d - 108 = 0. Suppose 0 = w - 4*w - 2*h + d, 2*w + 3*h - 17 = 0. What is the highest common divisor of 32 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1427875, -2855743, -4283611, -5711479, -7139347, -8567215?\nAnswer: -9995083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*y = -25*y - 9. Solve -y - 2 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 509 + 1111 = 3*u. Let f be (-8)\/(-12)*u\/8. Let c = 7 + 23. What is the greatest common factor of f and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1003.3 + 1003. Which is the closest to 0.01?  (a) -1  (b) -1\/5  (c) 7  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*sqrt(288))**2 - sqrt(288) - sqrt(288) - ((sqrt(288) + sqrt(288)*3 + -5)**2 - sqrt(288)).\nAnswer: 468*sqrt(2) + 36839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 25295 - 28745 = 0. Suppose -79*q = -53*q + 5200. Let s be 6\/((-28)\/q*12\/y). Round s to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 10:28 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 7:15 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 294 and 4032.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 128 and 192.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -42  (b) -0.05  (c) -56  (d) 1\/4  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1379*i + 274*i**2 - 2592*i + 1353*i - 272*i**2.\nAnswer: 2*i**2 + 140*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/7)\/u**5*u**(-3)*u**(-3))**(-11\/7))**(-7\/3) assuming u is positive.\nAnswer: u**(-275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 279 - 277. Is 23 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (316\/3)\/((25\/5)\/(4185\/1116))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 86, 128, 170, 212?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 103*c**2 + 10*c + 3. What is the units digit of b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 276 = -42*z + 88*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-250)\/375)\/(60\/(-2430)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**3 - p**2 - 4*p - 10. Give j(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37*h**3 - 218 + 218 + 44*h**2 wrt h?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 5 + -4 + sqrt(200) + 2 + -5 + 4*(0 + sqrt(200) - sqrt(200))**2 + -3.\nAnswer: -2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + c + 0*c - 2*c + 2*c - 1 + 1 + (-c + 0*c + 3*c)*(1 + 1 + 0) - 3*c - 1 + 1 + 0*c + 7*c - 14*c to s + b*c and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -170, -1, -27, -3, -2 in descending order.\nAnswer: -1, -2, -3, -4, -27, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**3 - 623*w**2 - 9355*w + 3830. Let o(v) = -v**3 - 312*v**2 - 4677*v + 1914. Let h(d) = -7*o(d) + 4*r(d). Find k such that h(k) = 0.\nAnswer: -31, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j - 29. Let t be c(12). Sort t, 0, -8 in descending order.\nAnswer: 0, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 140*c**4 - 5*c**3 + 209*c**2 - 8*c - 4. Let u(v) = -2*v**4 + v**3 + 2*v + 1. Let p(m) = q(m) + 4*u(m). What is the third derivative of p(a) wrt a?\nAnswer: 3168*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.82 + -0.32. Which is the fourth biggest value?  (a) -2\/9  (b) 8\/3  (c) p  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**4 + 0*n**4 + 4*n**4 + (14 + 26*n**2 - 14)*(-3*n**2 + 3*n**2 + 2*n**2).\nAnswer: 54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -6 - 3*q**3 + 9*q**2 - 4*q + 2*q**3 - q. Let u be f(8). Let t = -11 + u. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12360 (base 7) to base 3.\nAnswer: 11111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*r + 103*r - 232 = 0. Let t = 115 + r. Which is the nearest to t?  (a) 0.2  (b) 2\/55  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3*n**2 - 23*n + 61. Let l = -34 - -31. Let a(q) = -2*q**2 + 12*q - 30. Let z(m) = l*i(m) - 5*a(m). What are the prime factors of z(11)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, v: 9, i: 1, r: 2}. What is prob of picking 1 v, 1 r, and 1 h?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/338 - 81\/1950?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 8) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h - h**5 + h + (2*h**3 - 5*h**3 + 5*h**3)*(2*h**2 + 2*h - 2*h) - 2*h**5 + 0*h**4 + 0*h**4 + 6*h**5 - 3*h**5 + 4*h**5 + h - h - 2*h**5.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 6*t**2 - 8 - 16 - 2*t**2 + 20 + 3*t. Let i be h(2). Let r = i - -3. Which is the fourth biggest value?  (a) r  (b) -1  (c) 0.5  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9240 divided by 2?\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 5*a - 124 = -134, -a - 5 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58265343?\nAnswer: 3, 19, 37, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3*10\/(-78)*(-34)\/(-170)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9448 - 9412. Calculate the remainder when 101 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*t - 176*t + 326*t)*(-17*t - 87 + 87).\nAnswer: -1632*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17.6?  (a) 0.3  (b) 1\/20  (c) 2  (d) -4  (e) 10\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/120660 and -103\/11310.\nAnswer: 45488820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*h**3 - 24510*h**2 - 2200321*h + 947496.\nAnswer: (h - 3589)*(h + 88)*(7*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2773 - 1263*o**2 - 2773 + (-3*o + o + o)*(3*o - 4*o - o))*(3 - 4 - 2)*((0*o + 2*o - 4*o)*(1 + 0 + 1) - 2*o - 3*o + 4*o).\nAnswer: -18915*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + 12. Solve -v = -5*v - h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + l - 2*l + (l - 2*l + 0*l)*(-3 + 1 + 3) + l - 4*l + l)*(-l + 0*l + 3*l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 112671622 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c + 51. Let v be k(6). Let z(d) = -v - d + 33. Let j(l) = -87*l. Determine j(z(w)).\nAnswer: 87*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(190)\/(sqrt(10) + sqrt(160)))**2 + 3 - (-3 + (sqrt(304) - (-5 + sqrt(304)*-1)))**2.\nAnswer: -30306\/25 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(11) - (-3 + sqrt(704)))**2.\nAnswer: -42*sqrt(11) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 68 - 48. Let z be (-2 + 48\/20)*o. What is the tens digit of (-4)\/z + (-388)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 294389 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -5*h + w + 10, -2*w + 15 = h. Let k = h - 9. Let p be (10 + k)\/(2*1). Calculate the highest common divisor of p and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 733 is divided by 24\/(-56) - 8\/14*-41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1536 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 6 = 36. Let y be 70\/(-28)*12\/h. Solve -g + y*b + 1 - 11 = 0, -b = -3*g - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 26*a + 420. Let j be p(-16). Sort -25, j, -5, 3 in descending order.\nAnswer: j, 3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/(-3)*1)\/2. Suppose w - 4 = -z*w. Suppose 2*x - 12 = w. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a + 69*a - a - 132 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + 1)*(-3 + 4). Suppose 2*j - 8 = -r, -j - 1 = 5*r - 5. Factor -1\/2*q**y - 8 - j*q.\nAnswer: -(q + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49*x**2 + x**6 - 2*x + x**6 - 7*x**4 + 10*x**4 wrt x.\nAnswer: 240*x**3 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1797592 and 1120?\nAnswer: 251662880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2308 - 1196 - 1202)*(3*y + 0 + 0)*(2*y + 3*y - 3*y).\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and -4388.541.\nAnswer: -4388.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -6 - (-5 + -25 + 15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.6 times -0.5?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) 0.09  (b) 5  (c) -2  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.12*-0.19\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10593000 and 4815000?\nAnswer: 52965000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 262 - 185. Calculate the highest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 5*z**2 + 1592015*z + 71630550 = 0.\nAnswer: -318358, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 191 = -y + 28, -3*p = 2*y - 429. Let n = 42106\/16533 - 2\/1503. What is the common denominator of n and ((-4)\/(-68))\/(1*5\/y)?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + 6 + -7 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -343.09546 rounded to zero decimal places?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95*(322\/14)\/(-115).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnmnnmmnmmmmmm. Give prob of picking 3 m.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 7959 - -0.49581\nAnswer: 7959.49581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (108\/(-15))\/(68\/(-90)). Let o be 126\/35 - (288\/(-45) - -7). Factor 24\/17*z**o + 216\/17*z - 108\/17*z**2 - 2\/17*z**4 - a.\nAnswer: -2*(z - 3)**4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12342 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + 5*n - 8. Let h be u(-7). Suppose -345 = -h*z + 3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) -4  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(3\/2)\/(y**(-17)\/y) assuming y is positive.\nAnswer: y**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 11. Let v(l) = -l**2 - 1. Give t(z) + 11*v(z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 159 = -175 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of y**4\/4 + 8*y**3\/3 - 7*y**2\/2 + 8*y + 7190. Give a(-8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6432 by -201.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -746.09 - -746.1. What is the nearest to -1\/2 in f, -9, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**2 + 3*i**5 + 0*i**2 + (i**2 - i**5 - i**2)*(-8 + 58 + 98)*(0 + 6 - 4).\nAnswer: -293*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-515498)\/(-3216) - 161)\/(2\/(-64))\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 900 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1230 + 10?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0239 plus 55695.3?\nAnswer: 55695.2761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2029807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 2*t + 0*t - 4 + 0*t + 2*t**2. Let d be m(4). Let l be (-12)\/(-135) - d\/18. Put l, 4, -5 in ascending order.\nAnswer: -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23103783029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20032 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 21*p + 65 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 28276.06 times -3\nAnswer: -84828.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/506907 and -77\/1013814.\nAnswer: 1013814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y - 2217 + 2314 = -12828. Calculate the greatest common divisor of y and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 11*a - 1 - 4*a**2 + 16*a**2 + 0*a**2. Calculate the remainder when 46 is divided by l(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 40\/14 - (-4)\/14. Let n = -139\/42 + h. Which is the biggest value?  (a) -2\/37  (b) n  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 (base 16) in base 10?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/((-180)\/200)*(-1204)\/(-215)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q + 4. Let i be b(7). Let d = -7 - i. Calculate the least common multiple of 8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + 3*-2*sqrt(99) - sqrt(99))\/((sqrt(324)\/sqrt(6))\/sqrt(6)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 18*b**2 - 38*b - 41. Give k(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8 or -365.23?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qwg when three letters picked without replacement from {w: 6, s: 1, g: 5, q: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 11*d**2 + 8. Let k(z) = 4*z**2 + 3. Let j(f) = 8*k(f) - 3*n(f). Let u(s) = -7*s**2 + s**2 + s**2. Determine u(j(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -25 - 0. Suppose w = -3*k + 8*k. Solve f - 4 = 0, 2*f = b - k*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1912073786 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1*69\/(1\/(((-72)\/(-108))\/((-2)\/(-3))))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41 + 41 - 14*v)*(3 - 12*v + 2 - 5).\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {r: 2, u: 1, b: 10, p: 1, v: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1717\/780 - 119\/39. Calculate the common denominator of 14\/(-245)*(3 - 1585\/20) and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 32*u - 192. Let b be o(7). Suppose 92 = r + 4*z + 20, 2*r - z - 162 = 0. What is the highest common factor of b and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2*y - 1. Let q be c(-2). Suppose -j + 5 = q. What is the third derivative of -3*d**2 + 2*d**2 + j*d**2 + 2*d**3 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (7 - 2)\/((-144)\/(-432))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.07 + 0.93. Which is the closest to n?  (a) 0.3  (b) -0.4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2552 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 4596a2?\nAnswer: -459699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 4 + 0*y + 0*y**3 - 1\/3*y**4 + 0*y**2 + 2\/15*y**5. Find k, given that z(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 90*o**3 + 8*o**4 - 90*o**3 + (o - o - 3*o)*(1 - 1 - 5*o**3).\nAnswer: 23*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 11 + -15 + 40\/2. Let q = l + -14. Suppose -5*z - q*n = -13, z - 2*z + 4*n = 15. Is -1\/12 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - i**2 - i + 1591. What is the thousands digit of a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -3 - -3) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from iiiiiiijvoiixii?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 51840 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 - s**2 - 2*s + 10. Let l(h) = 2640*h**3 - 5*h**2 - 11*h + 50. What is -l(o) + 5*t(o)?\nAnswer: -2645*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 25779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in 0, -2, 0.04, 2\/7, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8024776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6\/7*s**4 - 204\/7*s + 90\/7*s**2 + 108\/7*s**3 + 0.\nAnswer: 6*s*(s - 1)*(s + 2)*(s + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24502 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 7*l + 48 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1000001000111111001?\nAnswer: 1000001000111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8674*m + 6*m**2 - m**3 + 2*m**3 + 0*m**4 - 8657*m + 4*m**4 to the form s*m**3 + q*m + v*m**4 + n + a*m**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -53 - -76. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5119 - -22068. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 114\/18 + (-1)\/3. What is the common denominator of (-40)\/p*(-84)\/490 and -4\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10 - 59?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 635855 divided by 130?\nAnswer: 127171\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10813\/10 - 1074. Let m = 3570 - 21317\/6. Calculate the common denominator of k and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12660.4 + 824041615\nAnswer: 824054275.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**5)**(-4)*f\/((f\/(((f\/((f*f**(-10)*f)\/f))\/f)\/f))\/f)*f*f\/(f*f**(-9\/8))*f assuming f is positive.\nAnswer: f**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3153, 6304, 9455, 12606, 15757, 18908?\nAnswer: 22059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -41856, -83711, -125566, -167421?\n\"Answer: -41855*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -37*a + 95. Let c(z) = -13*z + 32. Let t(i) = -17*c(i) + 6*h(i). Find the first derivative of t(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2530 and 7170526?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -4*f - 4*a, f + f + 8 = 5*a. Let w(i) be the third derivative of i**5\/60 - 5*i**4\/24 + i**2. What is the units digit of w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3 - 657*p**2 + 127*p**2 - 12 + 4*p + 1 wrt p?\nAnswer: -1060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 908503.\nAnswer: 908503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (25\/3)\/((-2)\/(-12)). Let w be -1 + -18*3\/(-6). Suppose -3*g + w*g = v. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52*g**3 - 12*g**3 + 36*g**3)*(-g + 0*g + 0*g).\nAnswer: -76*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**1)**(-12\/19)*(p\/p**(1\/18))\/(p*p**(-2\/9)) assuming p is positive.\nAnswer: p**(-125\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/16?  (a) 2\/11  (b) -0.3  (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -6. Suppose -j = 4*x - 28. Solve 3*g = x*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2 + 6*g - 11*g**2 - 3*g**2 + 15*g**2. Determine i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 396  (b) 0.116  (c) -11  (d) 15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 153593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of v**4 - 2*v**3 + 1441*v**2 + 32883 wrt v?\nAnswer: 4*v**3 - 6*v**2 + 2882*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22.43 - -0.57. Let r = -21 + y. What is the second biggest value in r, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) 0  (c) 2.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 121956259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11011, -11038, -11083, -11146, -11227?\nAnswer: -11326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -265*p + 7. Let g(c) = -796*c + 22. Give -5*g(o) + 16*w(o).\nAnswer: -260*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**4\/2 + 2777*x**3\/2 + 11085*x**2\/2 - 19421*x\/2 - 13865 = 0.\nAnswer: -2773, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**2 + 3*k**2 + 2 + 25*k**3 - 5*k**2 + 4*k**2 to h + l*k**3 + s*k**2 + a*k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k + 14 = 2*r + 4*k, -r = 5*k + 17. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 192236, 381271, 570306, 759341, 948376, 1137411?\nAnswer: 1326446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-5)\/(10\/(-8)) - 68\/(-10) and 27\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -34  (b) 6  (c) -13  (d) -1\/5  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -1, 0.04, 1\/4, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -411.246545737 minus 0.7?\nAnswer: -411.946545737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1296)*-1)\/(-3*sqrt(48)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171*d + 271*d + 5387 = -1157 - 3622 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12855 times 18?\nAnswer: -231390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1456 times 59546\nAnswer: 86698976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/12)\/r*r**(3\/4))\/(r**(-1\/2))**(-9) assuming r is positive.\nAnswer: r**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -88.117, 2\/19, -11?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 12 = 37. Suppose 2*a - 2*c - 2*c - 8 = 0, 0 = 4*a - i*c - 10. Solve -3*w + a = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaap.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 12, b: 6}. Give prob of picking 1 b and 2 e.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 1 + 2 + 2*f - 2 + 2. Let x be c(6). Suppose 0*d = -2*d. Sort -1, d, x.\nAnswer: -1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1216, 2568, 3908, 5230, 6528, 7796, 9028, 10218?\nAnswer: 11360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -80935644 and 0.1?\nAnswer: -8093564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8025.251 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72619168?\nAnswer: 2, 2269349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 501786505 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 8.13 times 1\nAnswer: 8.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*35\/40*(-1320)\/(-385)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-6*(sqrt(5) - (sqrt(125))**2) - (sqrt(720) + 1 + sqrt(720))*4.\nAnswer: -754 - 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22589?\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3655.865 decades?\nAnswer: 438703.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3788182593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/45, 3, -2\/5, 0.01, -12 in increasing order.\nAnswer: -12, -2\/5, -2\/45, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2930*d - 2874*d - 1512 = 0. Let p(c) be the second derivative of 1\/2*c**2 - d*c + 1\/3*c**3 + 0. Let s(u) = 5*u + 3. Determine -17*p(h) + 6*s(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5057078 and 3?\nAnswer: 5057075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**2 - 15*s.\nAnswer: -5*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a. Let s be j(-6). Let n be 0 + -157 + (s - -3). Let i be 3*(n\/(-84))\/(-4). Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u + 11*u + 32 - 2*u + 28 - 28. Give i(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 261872.00235 - 5.\nAnswer: 261867.00235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (-26)\/(-8)*101. Let o = -114052 - -915025\/8. Let w = o + x. Is -2 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 15. Suppose m = -2 + b. Calculate the remainder when (113 - 4) + (m - -2) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 3)*(-2*o + 4*o + 2 - 3*o) + (-237 + 35 - 48)*(-2*o - 2*o + 3*o).\nAnswer: 248*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrgd when four letters picked without replacement from tbbtbtbtbtbbbrdgd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*h*k**2*z + h*k**2 + 150*h*z wrt k?\nAnswer: -6*h*k*z + 2*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (36\/(-120))\/(2 - (-4236)\/15). Let x = t - -211\/316. Let 2\/9*p**3 + 0 + 4\/9*p + x*p**2 = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*b - 2*b + b + b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6699\/154)\/((-4)\/(-8)). What is the highest common factor of q and 3973?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, 103, 2, -22, -1, 3 in ascending order.\nAnswer: -22, -1, 2, 3, 36, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 1907.\nAnswer: 1\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 72441 or 71812?\nAnswer: 71812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from omoooooo. Give prob of sequence oo.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 31*q**2 + 27*q + 111. Calculate h(30).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40*a**5*o + 2084973*a**5 + a*o - 28967739*a + 2 wrt a?\nAnswer: 800*a**3*o + 41699460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = 51 - 3. Let a be (-75)\/(-63) - k\/56. Factor 0*w**2 - a*w**3 - 2\/3 + 2\/3*w**4 + 4\/3*w.\nAnswer: 2*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010000010101 + 1010000110011?\nAnswer: -111111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 71878 - 6?\nAnswer: 71872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -78620 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 2. Suppose -19 = -9*h + 35. Let p(a) = 9*a**2 + 20*a + 17. Let r(c) = 3*c**2 + 7*c + 6. Let j(x) = h*p(x) - 17*r(x). What is j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -27. Let n(v) = -3*v**2 - 8*v - 3. Let o be n(w). Let r = -11 - o. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530282 less than -33.2?\nAnswer: -530315.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 AM and 1:39 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 27946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 192 + 87 = 45*l, 4*m + 30 = 570*l - 567*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 - 19. Let b = -30.1 + u. Let l = 1.1 + b. What is the third smallest value in -5, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 875 = -3*l, 9*l + 3*f + 285 = 8*l. Let b = 310 + l. Calculate the smallest common multiple of b and 11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**2 + 5*p. Let s(r) = r**2 + 2*r. Let h(o) = -6*j(o) + 14*s(o). Let h(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*12.6.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 z when three letters picked without replacement from {z: 2, a: 2, u: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c - 7. Calculate v(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/4*(1156\/85)\/17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.24 - -0.04. Let k = -1912 + 1909. Which is the nearest to 1?  (a) n  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, -2\/7, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 55772 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/153636 and -73\/12093348.\nAnswer: 84653436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 5*c - 37, 27 = 4*c + 3*v - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/280)\/((-13)\/(-65)*9)*4\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -11*p - 5. Suppose -3*y - 211 + 199 = 0. List the prime factors of u(y).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -97108 by -4.\nAnswer: 24277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*m + 6. Let r = -1 + m. Let y(k) be the second derivative of k**5\/20 - k**4\/6 - k**3\/2 + 2*k**2 - 7*k. Determine y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4545 - 12?\nAnswer: 4533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -33*s + 288. Let u(m) = -11*m + 98. Let g(k) = -3*r(k) + 8*u(k). Give g(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4949 + -4929. Solve t*y + 4*y + 120 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 948.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -5986*f + 2415. Is c(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(40)\/((sqrt(96) - (sqrt(96) + sqrt(96)*-1))\/sqrt(12) + sqrt(8)) - sqrt(55)\/(sqrt(44)\/sqrt(4)*4)) + 4)*-5.\nAnswer: -20 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 5*w - 108 = 0. Let y = w - 22. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bmjkjvvdjjdjkmjjjjjd. What is prob of sequence md?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1021 (base 3) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 6*l. Let c(i) = 516*i. Calculate c(b(k)).\nAnswer: 3096*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 1  (b) -4  (c) 99  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 4*f**2 - 2*f - 2. Let x(a) = 7*a**2 - 5*a - 5. Let c(o) = -5*d(o) + 2*x(o). Let t(u) = 3*u. What is c(t(q))?\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of 19*s**2 - s + 89. Suppose q = -0*q + 69. Calculate the remainder when q is divided by u(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.371888 decades to centuries.\nAnswer: 0.4371888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6 + -14 + 861\/42. Let k = -0.19 - -11.19. Let z = -16 + k. Which is the third biggest value?  (a) z  (b) -1\/5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 4374.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 0 - -1 - (132 + -128).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 320 - 138.9. Let o = w - 181. What is the second smallest value in -5, 0.3, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(14\/6 - 32\/48). Solve b - 11 = w*j, 4 = -5*j - b - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 8*j - 53. Let y be g(7). Suppose 174 = 3*b + y*b. What is the remainder when 56 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55194447?\nAnswer: 3, 7, 11, 61, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 4*q - 405. Suppose -q*b + 69*b = -4188. List the prime factors of b.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.96 - 1.7. Let v = m + -0.06. Sort 1\/2, v, -0.5, -1.\nAnswer: -1, -0.5, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 12 = -4*z + 4*d, -12 = -2*z - 4*d. Let b(c) = 4*c**2 - 4*c - 23. Let y be b(3). Sort 11, z, 2, y.\nAnswer: z, y, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 4 - 1 - 1 - p - 1. Suppose -a + 5*z = -21, 0*a + 3*z = 2*a - 14. Let n be w(a). Solve v - 3 = -n*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 284 and 132628.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -i**2\/2 - 11*i. Let u(t) = -2 + 4 + t + 2. Calculate -2*u(o) - 10*x(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1226074 is divided by 996?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 7*z + 50. Calculate the greatest common factor of z and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.945032 - -9.5152296. Let k = 4.57 - m. What is k rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128459 = 13*t + 4751. Does 61 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(22)\/sqrt(2)*-6 - (-2 + (sqrt(11) - sqrt(44)\/sqrt(4)) + (sqrt(11) + (sqrt(44) - sqrt(11))*5)**2).\nAnswer: -389 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + 15*l**2 - 23*l - 39. Let f be o(13). Which is the closest to -2?  (a) f  (b) -1  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3390632 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -49 + -2?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -3, -1, -4, -0.2, -1\/540?\nAnswer: -1\/540","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 0)\/(1\/2). Let t = w + 2. What is the third derivative of 3*x**3 - 5*x**2 + 3*x**2 - t*x**3 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 0, 0.98, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -28, -5, -37, 21 in decreasing order.\nAnswer: 21, -2, -3, -5, -28, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 101 + -45. Calculate the remainder when 39 is divided by (-4)\/(-6) - t\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*q + 5*z - 3, -4*q - 3*z = -31. Suppose 0 = q*x - 4*d - 7 - 1, 0 = 4*x - 2*d - 4. Solve -4*j + 0 + 8 = x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5870 and 50.\nAnswer: 29350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -212016663, -424033326, -636049989, -848066652?\n\"Answer: -212016663*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152)\/(sqrt(56)\/sqrt(7) + sqrt(8)) + sqrt(19) + 5 + sqrt(114)\/sqrt(6))**2.\nAnswer: 25*sqrt(19) + 575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -190 divided by -2\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17460790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3201693.65 from 11.\nAnswer: 3201704.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-140)\/(-14) - (-2)\/(-52)*254.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -n + 3 - 2, -c + 5*n = 5. Suppose c = 12*z - 0*z - 48. Solve 3*k + 5*v + 15 = 0, -k - 1 - z = -5*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(112) + 3)**2 - (2*(2 + sqrt(112)))**2 - 4*(4*(-1 + sqrt(700)) - sqrt(700) - sqrt(700))*1.\nAnswer: -128*sqrt(7) - 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -10*y**2 - 1\/24*y**4 - 3*y + 1\/2*y**3 + 0. Calculate l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3 + 99934*x**2 - 4700824*x + 24606888.\nAnswer: 2*(x - 41)*(x - 6)*(x + 50014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5059 + 1763 = -32*u. Is 44 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -19*t**3 - 15*t**2 + 55*t + 14. Let n(v) = -3*v**3 - 2*v**2 + v + 2. Calculate -a(x) + 7*n(x).\nAnswer: -2*x**3 + x**2 - 48*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/(-2) - 2 - (-4)\/1. Let v = i - 2. Let g(m) = 16*m - 1. Let n be g(1). Solve v = p + 4*p - n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 7:55 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -852 + 4681*s**4 + 2*s + 4483*s**4 - 252 wrt s.\nAnswer: 109968*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1550 and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 907.\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2579*p**6 + p**5 - 1395*p**3 + 24*p**2 + 1145436*p wrt p?\nAnswer: 309480*p**3 + 60*p**2 - 8370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -16 - (-8 - (-110 + 139)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -354 = -270*n + 93*n. Let z(s) = s - 1. Let o be (9 + -3 - 3)\/3. Let c(d) = 2*d**3 + 5. Calculate n*z(h) + o*c(h).\nAnswer: 2*h**3 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3351 divided by 125?\nAnswer: -3351\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u. Let x(n) = 1. Let p(a) be the third derivative of a**5\/30 - 11*a**3\/3 + 9*a**2. Let h(l) = -2*p(l) - 44*x(l). Give g(h(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -2*k**3 - 5\/21*k**7 + 0*k**5 + 0*k**6 + 2*k + 0 + 0*k**2 + 0*k**4. What is the second derivative of z(b) wrt b?\nAnswer: -200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**2 - 71*i - 272. Let m be w(-31). Solve -79 = m*g - 58 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/170*29886\/1172?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-2\/9))\/q**(3\/8)*q\/(q\/(q\/q**(-1)))*q*q**3 assuming q is positive.\nAnswer: q**(461\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 16*m**2 + 1. Let y be c(1). Suppose -2*f + 0*o + 2*o = -14, 4*o = -f + y. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.02  (b) 4  (c) -3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 266593301.\nAnswer: 13, 449, 45673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-6)*((-264)\/72 + (-5)\/(-1)). What is the third smallest value in 2, v, 2\/3, -78?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 62177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13668 and 81271?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 628\/(-880) + (-13)\/(-156) and -8\/35.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1626758.4 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -391*d + 410*d = 76 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v + 16. Let s be w(8). Suppose s = -2*l - 3*l + 20. Solve 6 = -2*p + l*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s = 2*s - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 - 14. Solve -3*n - f = -3*f - 16, 5*f = -3*n + c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 914 greater than 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 255*d**2 + 17*d - 7. Is n(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 5:36 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 158\/(-6) - 1 - (-128)\/(-192). Let i = y - -47. Suppose 3*f + 43 = -0*s + s, 2*s - 114 = -f. What is the remainder when s is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3956*t. Let u(p) = -2*p. Give u(x(g)).\nAnswer: 7912*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j**2 - 47*j + 20. Let z be b(10). Suppose z*r - 44*r = 84. Let i = 105 - 63. Calculate the greatest common factor of r and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 99.72803051 to 2 decimal places.\nAnswer: 99.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2457139 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 284.66367 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 37  (b) -10  (c) -3  (d) 1\/4  (e) 6\/11  (f) -6\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 10:43 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k**(-6)\/k))*k)\/k*k)**33*k*k**(8\/5)*k*k\/(k\/(k*k**(-1)*k)) assuming k is positive.\nAnswer: k**(-967\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 191 divided by -11\nAnswer: -191\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -17*o - 12. Let u(g) = -162*g - 114. Suppose 5*l = 6 + 234. Let b(n) = l*y(n) - 5*u(n). Differentiate b(a) with respect to a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 16*u. Let k be w(-1). Let c = k + 96. What is the smallest common multiple of 20 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - m + 7. Is y(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -49.926341 rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**3 + 2*f**2 - f. Let l be p(2). Find the common denominator of (-3 + (-36)\/l)\/(-1) and -46\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d + 13. Let f be q(11). Let j = f + 20. Let c(o) = o**3 + o**2 - o - 4. Calculate c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**2 - a**2 - a + 0*a**2 + 0*a + 0*a + a**2 - a**2 - 2*a**2 + 2*a**2 - 3*a**2 + 6*a**2 - 4*a**2 - 2 + 2 + a**2 + (2 - 2 + 2*a)*(-2*a + 2*a - 2*a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14 and 352334?\nAnswer: 2466338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/3 - 15\/(-9). Calculate the greatest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/3*i**5 + 11\/3*i**4 - 8\/3*i**2 + 0*i + 0 - 10\/3*i**3 = 0. Calculate i.\nAnswer: -1\/2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o**2 + 9*o**2 + 7*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -806a (base 13) in base 11?\nAnswer: -122a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2\/11, -120.4, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/26 and 73\/136.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 207613 and 59318?\nAnswer: 415226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-15)\/(-10))\/(3\/2). Let f(m) = 2*m**2 + m - 2. Let b be f(-2). Sort j, b, -0.1 in descending order.\nAnswer: b, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/8, -2\/11, -23, 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/2  (b) 0  (c) -3  (d) 1.1  (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 2*q - 0*i + 8, 4*i + 8 = 0. Let n(z) be the second derivative of z**3\/3 - 2*z**2 - 10*z + 57. Determine n(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-2 - (-5 + 6 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.4745 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1367291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1283926.714 less than -0.69709?\nAnswer: -1283927.41109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 96.68945km?\nAnswer: 96689450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 528 and 4232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 2*p + 6, 0 = 4*p + 2 + 6. Let m be 6\/(-8) + s - (-506)\/88. Suppose 420 = -h + m*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -37, -54, -79, -112?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1262\/(-4) - -1*6\/(-6). Let r = 4124\/13 + i. What is the common denominator of r and 134\/132 - (-4)\/6?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -67337062 - -3?\nAnswer: -67337057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from ozoogheooohaghhoz?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 123680389 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 6:53 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-237.\nAnswer: 94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -i**2*j**2*o - 6*i**2*o + 22*i*j**2*o + 3*i*o + 3*j**2 - 7*o wrt j?\nAnswer: -2*i**2*j*o + 44*i*j*o + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-33)\/22)\/((-51)\/748). Sort -276, u, 4 in descending order.\nAnswer: u, 4, -276","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -325, 3, -3956 in decreasing order.\nAnswer: 3, -325, -3956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g - 14*g = 0. Suppose 5*h + 5 = g, -p + 6*p - 13 = 3*h. Let u(w) = -w**3 + 4*w**2 - w - 1. Determine u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 + -0.5. Let h(t) = -t - 7. Let q be h(6). Let m be (-1)\/1*(-2)\/q. Which is the nearest to -0.2?  (a) k  (b) m  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3\/7))**(-2\/21)*g**(3\/5)\/(g*(g**(-24)\/g*g*g)\/g*g) assuming g is positive.\nAnswer: g**(5547\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 4 + (14 - (15 - -31 - 17))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7175.079 years?\nAnswer: 71.75079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4525.71 litres to millilitres.\nAnswer: 4525710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 247479767.\nAnswer: 241, 1026887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*h + 40 = 0, -7*h - 6 = -10*h. What is the least common multiple of 7 and s?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 6275*k**2 - 21*k - 44. Let j be f(11). Round j to the nearest ten thousand.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/62?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 + 88. Let n(g) = g. Determine n(r(c)).\nAnswer: -c**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 - 816*y**3 - 49 - 224*y**2 - 232*y**3 + 224*y**2.\nAnswer: -1048*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 56 = 4*n. Sort 11\/2, 1, n in descending order.\nAnswer: 11\/2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 878*z**2 + 885*z**2 + 877*z**2 - 3513*z**2 + 875*z**2 + 10*z.\nAnswer: 2*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3128993 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l. Let a(q) = -48*q**2 - 33. Let d(t) = -2*t - 12 + 14 + 2*t + 3*t**2. Let j(p) = -2*a(p) - 33*d(p). Give j(z(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(18\/7)\/(y*y**(-7\/6)\/y)*(y**(-2\/39)*y)**27 assuming y is positive.\nAnswer: y**(16027\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 5*j**2 + 6*j + 2. Let o be z(6). Let p(s) = -2*s**3 + s**2 + 4*s - 3. Let q be p(o). Does 3 divide 7 - (1 + q - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 32\/18 + (-6)\/(-27). Suppose 3*f - i + 0 + l = 0, 5*i = 10. Suppose f = -4*o - 2*k + 148, -3*k + 0*k = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of r**5\/60 + r**4\/2 + 5*r**3\/2 + 629*r**2. Determine t(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 444 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 500206061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*l - 16*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**2\/5 + 598*i\/5 + 608 = 0. Calculate i.\nAnswer: -5, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + c = 0. Let q = 4 - c. Let l be q\/(8\/6) - 0. Solve 4*s = -l*b - 20, -3*s - b + 12 = 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19869622?\nAnswer: 2, 9934811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 20 = 3*s, 4*t - 2*s - 2*s - 48 = 0. Suppose -2*r - t = -r. Let h = -10 - r. What is the closest to 2\/5 in 2\/5, 2\/13, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20 * -257.52.\nAnswer: 5150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 71240442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/(-60)*13\/((-52)\/30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(9*(-1)\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4508*n**3 - 5*n**2 + 2*n + 244.\nAnswer: 27048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 22382 + -2?\nAnswer: 22380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 0*y + 0*y)*(505 - 310 - 10)*(11 - 26 - 3)*(-2 + 5 - 2).\nAnswer: -6660*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + u**2 - 1. Let m(f) = 7*f**3 - f**2 - 23*f - 1. Let t(q) = m(q) - 6*y(q). What are the prime factors of t(10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 9 + 507\/(-26).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -279, -1, -6, 1 in descending order.\nAnswer: 2, 1, -1, -6, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 6*x. Let v = -48 + 50. Let o(d) = -8 + 1 + 7 + 8*d**v. Determine o(k(y)).\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 179685*h - 179686*h - x + 106, 0 = h - x - 104 for h.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 399*s = -532*s + 37*s + 48619 - 343 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/24 and 83\/47952.\nAnswer: 47952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5475 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3263 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 2.7. Let t = v - -0.3. Let k = -2 + t. Is -1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 48, 213, 502, 927, 1500, 2233?\n\"Answer: 2*d**3 + 50*d**2 + d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pidg when four letters picked without replacement from {w: 2, p: 4, f: 1, i: 4, g: 3, d: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92, 174, 256, 338, 420?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 22, 62, 128, 220?\n\"Answer: 13*j**2 + j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**11*m**(-20)*m\/(m\/m**(-1\/5))*m*m**(-22) assuming m is positive.\nAnswer: m**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 11:12 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*n**3 + 5*n**2 - 5*n**2 + (-2*n**2 - 3*n**2 + 3*n**2)*(-2*n - 4 + 4).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -225, -444, -669, -912, -1185, -1500?\n\"Answer: -2*h**3 + 9*h**2 - 232*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-18\/11)\/g*g)\/g**(-8)*(g**4)**(2\/95))**(-20) assuming g is positive.\nAnswer: g**(-26952\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*12\/(-8)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -w + 10. Let i = w - -6. Differentiate 0*b**4 + 2 + i - 2 - 4*b**4 with respect to b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 44 + -30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 416541?\nAnswer: 3, 43, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - l. Let j(w) = -123*w**2 - w - 5. Let k(g) = -j(g) - r(g). Let c be k(-4). Suppose 4*n - c = 999. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 96406.59 kilograms?\nAnswer: 96.40659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 6:03 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -71, -150, -229, -308, -387, -466?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0215221646 to 5 decimal places.\nAnswer: -0.02152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 305174 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 22*u + 68. Determine z(-28).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7182\/76 - 93)\/((-6)\/116).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 11*c - 6. Let u be w(-7). Suppose -5*k = -u + 72. What is k rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 3*v - 2. What are the prime factors of o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 44*n**2 + 44*n + 1091. List the prime factors of s(-23).\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8\/5)\/(((-32)\/(-20))\/4). Solve -4*p = -9*p + 25, -2*p + q = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -489.29 - 7.71. Let w = 497.09 + o. Which is smaller: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 2.2, 86187.82?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -3, -1, 80 in increasing order.\nAnswer: -3, -1, 0, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3807773 (base 9) in base 13?\nAnswer: 577404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7906822302 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235*v + 18*v = 3795 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 20 = 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 times 1412862?\nAnswer: -180846336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 134781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*6*sqrt(136)*2)\/((sqrt(768)*-2)\/sqrt(6)) + -1 + 2)*5.\nAnswer: 5 + 45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -21258*l**2 - 16*l - 8. Let k(c) = -35430*c**2 - 26*c - 13. Let p(r) = 8*k(r) - 13*n(r). Let o(t) = -t**2. Give o(p(x)).\nAnswer: -50211396*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60424478.\nAnswer: 2, 37, 816547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.99 + -4. Let b = d + -2.99. Let r = b - -3.1. What is the second biggest value in 2, r, -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -493692140 by -4.\nAnswer: 123423035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33.93 or -461?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3365662 is divided by 1682824.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 12*t - 20. Let w be v(5). Let f(k) = -k + 5. Let n = 6 - 11. Let j be f(n). What is the greatest common divisor of w and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39\/2 - 20. Let h = -57.75 - -58. Let u = h - 0.45. What is the closest to w in 1\/2, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 1. Let o = x + -1.042. What is o rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(102)*4)\/sqrt(3))\/(sqrt(288) - (sqrt(288) - -3*-6*sqrt(288))).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 14059*h - 56193. Give w(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-464 + 990 - 485)*((3 + 1 - 3)*(-k + k - 2*k) - k - 3*k + 5*k) in the form q + c*k and give c.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1545764 divided by -11\nAnswer: -140524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -703, -718, -731, -742?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 8:34 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.32 + 1.02. Which is the closest to -6?  (a) -3\/7  (b) -1\/6  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 11, -126, -56 in increasing order.\nAnswer: -126, -56, -7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 + -63. Which is the second smallest value?  (a) 0.4  (b) t  (c) -0.3  (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13598?  (a) -11.5  (b) 2  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p**3 + 10*p - 36*p**2 + 34*p**2 - 2 + 3*p**3 - 2*p. Let v be m(3). Let y = v + -29. Solve c - 19 = -5*f - c, -f + y = c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -473*h**2*m**3 + h**2*m - h**2*n**2 + 251*h*m**3 - h + 2982816*m**3*n with respect to n.\nAnswer: -2*h**2*n + 2982816*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -59.5 and 1260009.\nAnswer: 1259949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -2 - 7 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 688 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-12)\/30 + 377\/5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21000120212 (base 3) to base 13\nAnswer: 4aba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 3 = -4. Let p be ((-5)\/4)\/(g\/4). Suppose -s + 15 = 2*s + 4*x, -5*x = p*s - 25. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 52.81410873 to 0 dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -16*p + 3. Let m(t) = 49*t - 10. Suppose 74 + 11 = -87*j - 89. Calculate j*m(v) - 7*k(v).\nAnswer: 14*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 5*m + 28 + 15 - 13, -m - 5*d + 21 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4 - 0.5. Suppose j - x + 17 = 3*x, 0 = -4*x + 16. Let f = 330 - 332. What is the nearest to j in 5, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22805773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 224184 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2496 and 17280?\nAnswer: 224640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3576 and 134547?\nAnswer: 1076376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(275)*1 - -2*sqrt(275)*3)**2 - ((sqrt(275) + -1*sqrt(275) + 2)**2 - (-2 + -1*sqrt(275))).\nAnswer: -5*sqrt(11) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(2 + -1) + -5. Solve z = -2*x - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -4\/3, 0.4, 101?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 0*o - 4*o)*(-o - 3*o + 5*o)*(3*o**2 - 2*o**2 + 13 + 16*o - 11).\nAnswer: -2*o**4 - 32*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84259, -84255, -84249, -84241, -84231, -84219, -84205?\nAnswer: -84189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -35*s**2 - 5*s - 3*s + 7*s + 11 + 34*s**2. Determine m(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29066 + -11095. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -129 (base 16) to base 10.\nAnswer: -297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -326833623*k*n**2 - 5*k*n + 811*k - 5*n - 858 wrt n?\nAnswer: -653667246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m**2 + 5*m + 4. Suppose 5*t - 35 = -4*a - 3, -5*a = 10. Let u be 22\/(-8) - 2\/t. List the prime factors of p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 18470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -108 + 108 + 33*f**2 - 5*f + 2*f as p*f**2 + k*f + s and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 105264282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y + 10. Let k be l(-7). Suppose k = 2*m + 2*m. Suppose 0 = -m*n + n. Solve n = -2*p - 3*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 739\/10 + -74. Which is the second biggest value?  (a) -5  (b) -4\/159  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 8*d + 3*d = 336, -2*g + 702 = -4*d. Suppose f - 4 = 0, -23 = -3*h + 11*f - 7*f. What is the remainder when g is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 606234*f**2 - 224689*f**2 + 631206*f**2 - 950*f**2.\nAnswer: 1011801*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19695623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1.19 - -4\nAnswer: 2.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 77 - 90. Which is the biggest value?  (a) -4  (b) o  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1310?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 266087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3889980?\nAnswer: 2, 3, 5, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 115 = f - 141, 0 = 5*z - 2*f + 44 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 2*b - b - 2, 14 = 5*j - b. Solve -3*k + 11 - 1 = j*c, -2*c = 2*k - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 971 + -641. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20426819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + k**3 + 4 - k + 0 - 5 + 4*k**2 + 3 to the form x + j*k**3 + m*k**2 + s*k and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 78 + -77. What is the fourth smallest value in -1\/4, y, -0.02, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 128261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g - 174 - 26 = 0. Let u(v) = 2 + g*v - v**2 + 3 + 2 - 3. Does 26 divide u(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*x**2 + 460088*x - 460088*x.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 19*x**3 - 21*x**3 + 2*x + 54 + 34*x**3.\nAnswer: -6*x**3 + 2*x + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of 2*p**3\/33 - 1125*p**2\/11 - 2252*p\/11 - 9630. Find k, given that m(k) = 0.\nAnswer: -1, 1126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 10*x + 3. Let a be o(-9). What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**2 - 10*q - 10. Let b be v(-4). Let j be b*5\/(-10 - -5). Suppose 2*y - 64 = -j*y - 3*n, 0 = -y + 5*n + 39. Put 0, y, 3 in descending order.\nAnswer: y, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/11  (b) -5  (c) -9.7  (d) -4\/15  (e) 2  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 263, 481, 699, 917?\n\"Answer: 218*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1902634293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*f - 66*f = -45 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.1 + 1.4. Let d = -1.76 - k. Let q = d - -0.05999971. What is q rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 - 21*s**2 + 75*s + 85. Let z be v(16). Let i(p) be the third derivative of -1\/210*p**z - 21*p**2 - 1\/3*p**3 + 0*p - 2\/21*p**4 + 0. Factor i(a).\nAnswer: -2*(a + 1)*(a + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -6*y + 34173514. Suppose 0 = 2*g - y + 3086757. What is g rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.3  (c) -24  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -225 + 115 - 33*g**2 + 110.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (374\/816*120\/20)\/1?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**(-1)*b))**(1\/7)*(b\/b**(2\/3))\/(b*b\/(b**8\/b)*b) assuming b is positive.\nAnswer: b**(94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-6)*-4*(-3)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of 3*z**4\/4 + 2*z**3 - 3*z**2 + 6*z + 111. Let j(s) = s**3 + s**2 - s + 1. Give -d(b) + 6*j(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4150\/7 - 75071\/126. Let i = 1211960\/7 - 2119723136\/12243. Let h = i + 59\/53. What is the common denominator of o and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -191\/8  (c) -40  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = n - 0*x + x, n + 3*x + 7 = 0. Suppose -4 = -a - t, -5*a + n*t + 39 + 9 = 0. What are the prime factors of 26 + (-7)\/((-28)\/a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-290*b + 67*b - 147*b + 47*b)*(2 + 1 + 1).\nAnswer: -1292*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -779\/840 - -58\/105. What is the closest to -1 in k, 0.01, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-14)\/70)\/((-1)\/15). Let b(h) be the first derivative of -4*h + 2*h**2 - o - 2\/3*h**3. Let p(m) = 4*m**2 - 9*m + 9. Give 9*b(f) + 4*p(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109 - 51 + 241*j**2 + 11*j - 46*j**2 + 38.\nAnswer: 195*j**2 + 11*j - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -151, -285, -493, -775, -1131, -1561?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(2 - (-3)\/(-2)). Let g be (-9)\/(-3)*(-16)\/v. Let l = -12 - g. Round l to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 8*w**2 - 7*w - 5. Let d be t(7). Let n = d - -17. 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 = 710 + -707. Let h(o) be the first derivative of 7\/5*o**5 + o**3 + 8 + j*o**4 + 0*o - o**2. Determine c, given that h(c) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -226*d - 902. Give w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -194\/3 - -64. Let f = -1 - -0.6. Let i be (1792\/84 - 24)*(-4)\/((-56)\/(-6)). Which is the closest to d?  (a) f  (b) -1\/6  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*f + 911 - 3758 = 0. Does -39 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 27460.\nAnswer: -1\/27460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**5\/4 - z**4\/4 - 13*z**3\/4 + z**2\/4 + 3*z = 0?\nAnswer: -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) 3  (c) 5137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2110122210101221 - 11?\nAnswer: -2110122210102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7802.\nAnswer: 2, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 32 - 5*c - 11)*(-1 + 1 - 1).\nAnswer: 5*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -32*x - 2. Is n(-1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2*f + 186 = 0, 2*f - 3*f + 3 = 0. Calculate the remainder when n is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**1*u)\/u)**(-3\/16)\/((((u*(u\/(u*u**(-4\/11)))\/u)\/u)\/u)\/(u**0\/u)) assuming u is positive.\nAnswer: u**(79\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 38*q. Let o(i) = -i**3 - 8*i**2 + 9*i + 18. Let u be o(-9). Let b(r) = 10*r + 2*r + 2*r - u*r. Determine d(b(c)).\nAnswer: -152*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 365 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 7*s = -2*s + 40, 4*i - 24 = -4*s. Let f(t) = 3*t - t + i + 0 - 4 + 2*t**2. List the prime factors of f(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 plus 4690.692?\nAnswer: 4694.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**2 + 52*z**4 - 20*z**4 - 9*z**4 - 21*z**4 + 453*z**3 in the form l*z + w + d*z**3 + x*z**2 + t*z**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 54, -2, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 150b34b (base 12) to base 2\nAnswer: 10000001101100000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 21*h**2 - 6*h + 74. Let s(q) = -4*q**2 + q - 15. Calculate 11*s(a) + 2*u(a).\nAnswer: -2*a**2 - a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**3 + 6*y**3 - 7*y**3 - 5*y**2 - 1756*y.\nAnswer: -y**3 - 5*y**2 - 1756*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 3*v - 42, 0 = v + 5*u + 266 - 195 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -6260, 0, -2515 in decreasing order.\nAnswer: 0, -2515, -6260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((240\/(-2660))\/(-6))\/((-18)\/(-21) - 1). Sort 2\/3, 2, -1\/3, z, -2\/5 in increasing order.\nAnswer: -2\/5, -1\/3, z, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -632 - -632. Let v(p) be the second derivative of 1\/12*p**4 - 6*p + m - p**2 + 1\/6*p**3. Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i + 23. Let v be 11\/((-440)\/(-16)) + 6\/10. Suppose 5*a + v = -69. Let s be j(a). Let o(t) = t**3 + 5*t**2 + 2*t - 2. What is o(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 4*i**2 + 3*i + 3. Let z be p(3). Suppose -5*b - 22 = r, 5*r = b + z + 17. Calculate the remainder when 8 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 1:07 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6660637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7002231)\/(-21) + (18\/42 - 0) + 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -1\/3*h**2 - h + 2 + 2\/3*h**3 - 1\/2*h**4. Let s(l) be the first derivative of y(l). Factor s(z).\nAnswer: -2*(3*z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - -19) + (-3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1423 - -6684. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**2\/9 + 1706*i\/9 - 27412 = 0 for i.\nAnswer: -979, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4411855 and 0.5?\nAnswer: 2205927.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9525*d - 46 = 2*z - 9521*d, 532*d + 5329 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 769197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.25639 millennia in decades?\nAnswer: 7725.639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/9 - 46*z**2\/9 - 32*z\/3.\nAnswer: z*(z - 48)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 1:43 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 393*d**2 + 239*d + 1100. Let a be k(-5). What is the highest common divisor of a and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 20*o**2 + 68*o + 16. Calculate r(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u**2 + u + 3. Suppose -3*i - 2 = -2*i. Suppose 0 = -p + 5 + 2. Let x(a) = a**2 + 1. Determine i*n(t) + p*x(t).\nAnswer: t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 1714677.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -128 and -1.716.\nAnswer: 219.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 29820 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: What is the next term in -2571252, -5142507, -7713762, -10285017?\nAnswer: -12856272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 6*w - 12. Let g be b(9). Let f be 3 - (-2*4\/(-8) - g). Suppose 4*t + 5*v - 21 - 80 = 0, 0 = -2*t + 4*v + f. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -59 + 209. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.18829um in kilometers?\nAnswer: 0.00000007118829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2 - -2)*9\/36)\/1. Solve -w = o, -2*i + 3*w - 2 - 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 182526.07 * -0.18\nAnswer: -32854.6926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 51 + -55. Sort 0, -3, u, 4\/7 in ascending order.\nAnswer: u, -3, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.184 + 1.804. Let v = h - -6.48. Let s = v + -8. Put -4, -0.4, s in decreasing order.\nAnswer: s, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 11:13 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**3 + 3*a**2 - a - 2. Let g be x(-2). Let f(z) = 2*z + 5. Let i be f(g). What is the remainder when ((-2)\/i)\/(2\/54) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 40*p - 33*p + 92*p - 29*p = -15, 2*y = -5*p + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = j + 4*m, 4*m - m = -5*j - 112. Calculate the remainder when 61 is divided by j\/(-25) + -1 + (-424)\/(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1865*b + 1862*b - 48 = 3*l, 0 = -2*l + 4*b - 56 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2583513 minus 7285?\nAnswer: 2576228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from dsk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 + 36. Let j(z) = z**2 - 10*z + 8. Let f be j(q). Let v(g) = -g**3 - 15*g**2 + 10*g - 9. What are the prime factors of v(f)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 348626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 24554411 (base 6) to base 13\nAnswer: 219b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -32510\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -27 and -88.\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3103 = -1305*o - 175*o + 109 + 5668 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 5*h - 8*h**2 + h**2 - 2*h**2. Let v(d) = d**2. Calculate v(x(t)).\nAnswer: 64*t**4 + 80*t**3 + 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14 - a + 14 - a**3 + 2*a**2.\nAnswer: -a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -47.9 and -36945.7103599.\nAnswer: -36993.6103599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 7:34 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.5 minus -12232?\nAnswer: 12228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + w**2 - w - 1. Let d(l) = 3*l**3 + 9*l**2 - 35*l - 3. Let a(u) = d(u) - 4*i(u). What is the second derivative of a(y) wrt y?\nAnswer: -6*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -4670286?\nAnswer: -4670283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 - 54808*i - 219168.\nAnswer: -4*(i + 4)*(i + 13698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3920 and 115.\nAnswer: 90160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**(-6)*q)\/q)\/(q\/(((q\/((q\/q**11*q)\/q*q))\/q)\/q)*q))**(-1\/45))**22 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 11:40 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/4)\/(1\/8). Let o(f) = f**2 - f. Let b(x) = -x**3 - 11*x**2 + 6*x + 4. Let u(k) = b(k) + 5*o(k). What is u(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43 divided by 4210375.\nAnswer: 43\/4210375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 0 + 1 - (-22 + -4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -166*r + 341*r - 3602989 - 1361236. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 4*y + 2 = -2, -1421*f - 2*y - 1 = -1420*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -5\/108*j**4 + 4\/27*j**3 + 1\/270*j**5 + 0 + 0*j - 109*j**2. Factor s(p).\nAnswer: 2*(p - 4)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3434 a factor of 1031270084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2195084911.\nAnswer: 59, 197, 188857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -7*c + 12*c. Let d be 16\/(-28) + 176\/c. Solve -4*v = -0*v - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 5 - -9) + (-543081)\/(-7053).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-62)\/(-10974)*(-9)\/(-6))\/(((-15)\/(-12))\/5).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 14*u = 0. Solve u = -o + 2*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 168 - 156 = 0. Calculate the smallest common multiple of z and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 0.25  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 8, a: 3}. What is prob of picking 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0728*5.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6997 - 80?\nAnswer: 6917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, 10, -2, -17 in increasing order.\nAnswer: -17, -2, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 - 13. Suppose k + 5*r = -v, -2*k + 47 = -5*r + 4. List the prime factors of 52\/k + (-10)\/(-45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/8520 and -9\/143.\nAnswer: 1218360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 + 32*p**2 - 6*p + 54. What are the prime factors of t(29)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 304533 in -0.02, -1, -2\/11, -0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -97694500 rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (3199\/(-25592))\/(34\/80)\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -144*o - 520 + 516 - 47*o + 3*o - 2*o - 2*o + (4 - 4 + 2*o)*(2 + 0 - 1) in the form j + m*o and give m.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-10)\/t*t*t*t\/t**(-1\/3) assuming t is positive.\nAnswer: t**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1*6)\/((-30)\/(-20)). Let 22*i + 27*i + o*i**2 - 37*i = 0. What is i?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/59 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2866744907.\nAnswer: 13, 220518839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.64 - -1.5. Let g = z + 0.04. Let x be (-130)\/39*9\/(-5). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3 = m, 4*m - 5*p = 20 - 2. What is the remainder when 2 + 791\/m - 7 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1008231479?\nAnswer: 8821, 114299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 29623 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 0.1817831?\nAnswer: -0.8182169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, -2\/49, -7, -3, 2\/75 in descending order.\nAnswer: 0.04, 2\/75, -2\/49, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, 0.3, -5699, -2?\nAnswer: -5699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 43296 - 0.12\nAnswer: 43295.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/9?  (a) 1\/12  (b) 116  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.157 + -0.557. Let b = -1 - 6. Let y be (-1)\/4 + 0 + 1. What is the smallest value in b, a, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(1 + 3) + 0. Let n = -1041 - -839.1. Let r = n - -202. What is the nearest to r in -2, z, -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/25  (b) -1\/5  (c) 5  (d) -5.9  (e) 11\/2  (f) 0  (g) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**3 + 8*i**2 - 122*i - 389. What is l(-3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(1\/2)\/x))**(-24)*x**(1\/5)\/(x\/(x**(-5)*x))*((x*x\/(x\/x**(3\/4)))\/(x**4*x))\/(x**5*x\/x**(-3)) assuming x is positive.\nAnswer: x**(-1061\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.3098 to 2 dps.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 755?  (a) 1\/9  (b) 0.01  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = 5*u - 5, 3*u = a + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239 = -25*h + 164 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (15\/12)\/((-6)\/(-24)). Suppose -s = 4*t - 19 - 4, 5*s - 10 = t. Suppose 59 = t*i + 3*d, -5*i + d + 41 = -2*i. Solve p*q = -i + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -f + 8, 961*p + 9 = 6*f + 962*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5 - ((-19 - 10) + 12 - 54)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 10*d**2 - 23*d + 24. Give u(-6).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -9*h + 49 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 2*r + 6172 = -r + 6220, r + 44 = 3*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 5:09 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 29*y**2 + 81*y - 3. What is r(-26)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 5:17 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*v**2 + 3*v - 3*v + 134*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*x - 55*x**2 - 2 + 78*x + 2.\nAnswer: -55*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/27)\/((-2)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1102 and 184?\nAnswer: 101384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -14 and 2062.5537?\nAnswer: -28875.7518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3067 is divided by 280.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4*(-14)\/(-4) + -4. Suppose 10228 = -f*m + 14*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3374*q - 3387*q = -2067. Calculate the least common multiple of 6 and q.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 61*(-3 - 0)\/(-15). Let q = t + -417\/35. Which is the nearest to q?  (a) 1  (b) 0.1  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6870 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 353343540.\nAnswer: 2, 3, 5, 11, 29, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -4*y + 5*y - 4*y + 7*y. Let r(o) be the third derivative of 3*o**5\/20 - 31*o**2. Give f(r(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -42, -65, -76, -69, -38, 23, 120, 259?\n\"Answer: i**3 - 30*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -613*x + 1276*x = 592*x - 1988 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 + 30*c + c**4 + 15*c**2 + 7*c**3 - 15*c + 2*c**3 - 3*c.\nAnswer: c*(c + 1)*(c + 2)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 51\/5?  (a) -12  (b) 0.027  (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8677641?\nAnswer: 3, 7, 29, 14249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 123, 228, 333?\n\"Answer: 105*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (46 - (19 - 8) - 6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010 + -1000?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 4:13 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 22 = -4*j, -3*l + 2*j - j + 2 = 0. Let u = l + 0. Solve -2*o + 4*f - f - 5 = 0, -5*o + 4 = -u*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3)\/(11\/9 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 77 = 2*h. Let v(k) = k**3 - 7*k**2 - 12*k + 13. What is the hundreds digit of v(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18189 and 4687.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**3 - 4*o**2 + 4*o**2 + 6*o**3 - o**3 - 4*o**3 + (-16*o**2 + 4*o**2 - 4*o**2)*(-o + 0 + 0).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 541 + -543. Let p(o) = 1. Let l(h) = 0 + 7 - 9. Let b(m) = l(m) + p(m). Let q(x) = 3*x - 2. Give g*b(y) + q(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 898644331.\nAnswer: 13, 1433, 48239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 150.3 + -142. Let x = 8.6 - s. What is the nearest to 1 in 1\/4, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -167*a**2*c + 137*a**2 - a*c - 2*a - 7945*c - 1 wrt a?\nAnswer: -334*c + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -12. Let a = r + 0. What is the third biggest value in 5, 7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.4 + 1.6. Which is the smallest value?  (a) 1\/3  (b) k  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**3 - 57*q**2 + 88*q - 48. Determine m(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 25*j + 27*j - 11*j**2 + 4 + 21*j - 1 - 74*j. Let w(a) = 1. Give u(l) - 2*w(l).\nAnswer: -11*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -106bb31 (base 13) in base 15?\nAnswer: -6939e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from looool. What is prob of picking 3 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r - 39*r + 54*r = -5*p + 20, -3*p + 2*r = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -51 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -151?  (a) -366\/13  (b) 2  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 64*a + 335 - 3, 0 = b + 4*a + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -3*i**8\/56 + 17*i**5\/60 + i**2. Find the third derivative of f(a) wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/2 + (8 - 4). Suppose -w*a = -2*g + 39, -4*g - 72 = -9*g + 4*a. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -46*x**3 + 2091*x**2 - 9*x + 20569987 wrt x.\nAnswer: -138*x**2 + 4182*x - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4\/79, -0.1, 2\/3?\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 169 + 157. What is the highest common divisor of 128 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 6:19 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - x - 3. Let f be k(0). Let y(g) be the second derivative of g**4\/12 + g**3\/2 - 2*g + 606. Give y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (3 - (4 + -2 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -132159 (base 12) in base 2?\nAnswer: -1001100110101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/16739336 and 75\/1160152.\nAnswer: 117175352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.4857um in millimeters?\nAnswer: 0.0734857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -188, -1493, -5026, -11903, -23240, -40153, -63758?\n\"Answer: -186*q**3 + 2*q**2 - 9*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**3 - 3*v**2 + 5*v**3 - 2*v**3 - 8*v**3 to the form t*v**3 + i + x*v**2 + j*v and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f - 2*f - 7*f)*(-2 + 0 + 8) - f - 2*f + f to the form o*f + c and give o.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)\/(sqrt(810)*-2))**2 + 5.\nAnswer: 1637\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - 3025?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -218.95 from -5.\nAnswer: 213.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 102\/27 - 4\/(-18). Let r(c) = c**3 - c**2 + c - 1. Let x be r(1). Solve o + j*o = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -150*c - 28 - 174*c + 303*c + 187 to i + b*c and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 382*p = -376*p + 767*p - 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 8*c**2 + 9*c + 3. Let h be (2\/6 + 0)\/(9\/27). Let l(y) = -y**2 - y. Let s(x) = h*p(x) + 5*l(x). What is s(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 152.75 + -1.75. Let n = -151.2 + o. Which is bigger: 18 or n?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3039 or 3053?\nAnswer: 3039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 332 - 276. Calculate the highest common divisor of 280 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 200, 0 in descending order.\nAnswer: 200, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, v: 5, d: 3, u: 2, c: 3}. What is prob of picking 1 u and 2 d?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.99737 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 3*a**2 + 2*a - 2. Let f be u(-3). Let t = f - -10. Suppose 0*h = -t*h + 1118. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 945 (base 12) to base 2.\nAnswer: 10101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d**3 - d**2 - 93342*d + 373376. Calculate b(4).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 356*l + l**2 - 396 - 711*l - l**4 + 354*l to a*l**3 + h*l**2 + n*l**4 + j + f*l and give j.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) 17.7  (c) 2\/561  (d) -0.2  (e) -5  (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g + 20. Let x be f(-17). Is -102\/7 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**2 + 145*u - 2461. Calculate h(28).\nAnswer: 3167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from ccrqqcrqqcqccrq.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41261673.\nAnswer: 3, 19, 709, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4.4, 2\/9, -10.78?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24558 and 600.\nAnswer: 2455800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 895.30014 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 - -a5?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.035 + -0.035. Which is the third biggest value?  (a) 27  (b) l  (c) -2  (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = -10*k + 15*k + 5*w, -4*w + 5 = -k. Calculate the lowest common multiple of (12\/8 + 0)*22 and k.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 12*j**2 - 28*j**2 + 18*j**2. Let n(q) = 9*q + 2. Let y(k) = -k - 1. Suppose f = -3*f + 4. Let w(c) = f*n(c) + 2*y(c). Calculate w(m(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (207\/(-36) - -5)*-8. Solve -2*f + 4 + a = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of -7*a**2\/2 - 170*a + 131. Let u be h(-24). Let l be ((-2)\/(-4))\/((-1)\/(-4)). Which is bigger: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19296994063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -118924, -237842, -356758, -475672, -594584, -713494, -832402?\n\"Answer: t**2 - 118921*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.52 plus -0.03133?\nAnswer: -0.55133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f + 3. Let c be g(6). Let n = 17 + c. Solve -4*l + n*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -77 + 337. Suppose 0 = -5*g - 3*o + 831, -2*o - 418 = -4*g + c. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -245*u**3 - 15*u**2 - 5*u - 6. Let b(m) = 248*m**3 + 12*m**2 + 4*m + 5. Give 5*b(h) + 4*t(h).\nAnswer: 260*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 344 + 38*u + 4*u**3 - 345 - 2*u**2 - 3*u**3 + (2*u - 2*u + 2*u**2)*(2*u - 1 + 1) to q*u + i + f*u**3 + s*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 592699 and -4.2?\nAnswer: 592703.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j + 2. Let w be g(-2). Suppose w = 2*d - 12*d + 20. Suppose -d*q + 1 + 23 = 0. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - f = -4*f + 192, 0 = 5*f - 20. Suppose 17*o - 14*o - u = 0. Let v = o + -17. What is the greatest common divisor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**4\/7 - 326*p**3\/7 - 11658*p**2\/7 + 12646*p\/7 + 23980\/7 = 0.\nAnswer: -109, -55, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(14\/3)*n)**(19\/5) assuming n is positive.\nAnswer: n**(323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 - (-3973 + 6 + (-6)\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -486.02003 - 0.90997. Let k = r + 487. What is the smallest value in k, -0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -175, -343, -511, -679, -847, -1015?\n\"Answer: -168*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2 + -5 + 152)*1.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (4 - -15) - -4 - (-25 + 24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2317 + 49*o**3 + 34*o**3 - 85*o**3 in the form g + l*o**2 + h*o**3 + d*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, j: 4, o: 1, y: 2}. What is prob of sequence jk?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -r**7\/10 + 3*r**6\/5 + 51*r**5\/50 - 2*r**4 - 27*r**3\/10 + 3*r**2 - 3*r + 2. Determine q, given that j(q) = 0.\nAnswer: -1, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -525 = 56*i + 195*i + 2487 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*m + 43 + 63 - 18*m + 9*m + 16*m.\nAnswer: 24*m + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -117547*d**4 + 254*d**3 - 177*d**2 + 7648*d - 4?\nAnswer: -2821128*d + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1485 (base 11) in base 3?\nAnswer: 2121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 79 - 79. Let w = 47.048 + -47. Do l and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000147335177 rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8095*b = 4*a - 8098*b - 62, 6*b + 118 = 5*a. Suppose -5*t = 4*f - 72, -f + t + 24 = 6. Solve 5*o - 6*s - f = -2*s, a*o - 14 = 5*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 47 = 3*h, -2*v + h + 48 - 3 = 0. Let x = -112 + 120. Calculate the remainder when v is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71 + -19 + (4 - (6 - 2)) - (-2 + 16).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(147))\/sqrt(7)*2)\/(sqrt(77)\/(-3*sqrt(1331) + sqrt(1331))).\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-105)\/490)\/((-33)\/1760))\/((-2)\/7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -189*11*20\/(-9900)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eotw when four letters picked without replacement from etwctatoeewa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**7\/(v**(-2)\/v)*(v**(-1\/9)\/v*v)\/(v*v*v*v**(6\/5))*(v**(-2\/3)\/v**(-2\/3))**3 assuming v is positive.\nAnswer: v**(256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1354*r**3 + 35*r**2 - 117585 wrt r.\nAnswer: -4062*r**2 + 70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6438.\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 76*u**3 - 169*u**2 wrt u.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y - 1. Let o be a(-1). Let i = 1 + o. Solve i*b - b = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 132 - 164. Is (-3)\/4 - (2 - (-102712)\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 235 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 74996.72 centuries in decades?\nAnswer: 749967.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132 (base 13) to base 8.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -218340, 3 in increasing order.\nAnswer: -218340, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11111144 (base 5) in base 10?\nAnswer: 97674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 618.08 times -1?\nAnswer: -618.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*j + 33 + 31 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1073, 1078, 1083, 1088, 1093, 1098?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 4:11 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4714002 (base 8) in base 3?\nAnswer: -2102020110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*j - 32 = 56 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(133) - sqrt(133)*-1)*2*-5)\/((sqrt(9072)*-2)\/(2*sqrt(36))).\nAnswer: 20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*s - 13500, -4*s = -5*g + 10281 + 16705. Let b = -242885\/36 - s. What is the common denominator of 22\/3 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 196, 1016, 2390, 4324, 6824, 9896?\n\"Answer: u**3 + 271*u**2 - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -100011 (base 2) to base 7\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52340 + -18383. Let g = 33917.9966 - q. Let y = g + 39. Round y to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -501, -750, -1065, -1476, -2013, -2706, -3585?\n\"Answer: -5*y**3 - 3*y**2 - 205*y - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 89.46 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/3, -5, 4232?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 796703471?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*p - 6*p**2 + 0*p**2 + 2 + 3*p**2 + 0*p**2 as t*p + a*p**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/54  (b) -61  (c) 50  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = 3*m + 2*a - 6, -5*m - a - 20 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1003 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 43\/(-84) + (-2)\/12. Let x = d + 1\/4. Put 0, -5, x in decreasing order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/8976112 and -9\/11656.\nAnswer: 421877264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 + -37. Which is the third smallest value?  (a) 0.2  (b) -3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3 + 1 - 9*h**2 - h**3 + 14*h + 1. Is r(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 (base 16) to base 9\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*i + 16*i**2 + 6*i + 4*i**2 - 22*i.\nAnswer: 5*i*(4*i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1606399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2303541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0)*(-3*v + 3*v + 2*v**4 + (-4*v**2 + 7*v**2 + 3*v**2)*(37*v**2 + 77*v**2 - 14*v**2)).\nAnswer: 602*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from dqdmmqddfdmqmmqmmqdq?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -81*f + 0 - 7 + 50*f. Is y(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1392\/7888 + (8199\/(-1377) - -4)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43633884 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*((r\/(r**4*r))\/r*r)\/r)**(1\/2)\/(((r\/r**(1\/10))\/r*r*r*r)\/(r*r**(-2\/5))))**(2\/33))**1 assuming r is positive.\nAnswer: r**(-43\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -9. Suppose 5*i + 0*i = -2*d - 148, 4*d + 2*i = -296. Let v = d + 79. Solve 18 = v*l - t, -t + 2*t - o = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -340550265 divided by 113516755.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.022*-1.1\nAnswer: 0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1204 + -1202. Let 1\/2*h**g + 0 - 1\/4*h - 1\/4*h**3 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = 4*o + 4*g, o - 3*g = -g + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 - 0.2. Let u = -5 - -7. Let r = -1.6 + u. Which is the nearest to -1?  (a) r  (b) 0.3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*q + 3493*q - 262*q = -388547 + 69029 for q.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 3, 0.4, 39, -17, 2, -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3*x + 16 = 0, k - 13 = -3*x - 9. Suppose 4*q = k*p + 3 - 11, p - 17 = -4*q. Calculate the remainder when 70 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*t - 11 = 49 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -4. Let z = 0.2 - 0.08. Let v = -0.02 + z. Which is greater: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 244.5 + -245. Which is the nearest to 0?  (a) k  (b) -13  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(8)\/sqrt(4)*-4 - sqrt(2) - sqrt(2))**2 - sqrt(2)) + 4*sqrt(4)\/sqrt(2) - (-1 + (-1*sqrt(50))**2 + sqrt(300)\/(sqrt(96) + sqrt(6))).\nAnswer: -121 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(133\/(-21) + 5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen tenths of a century in years?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 5*d - 3. Let f be o(-7). Let y be -118*(0 + (-1)\/2). Suppose -f = -2*j + y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2 - -6) + -2)\/((-2)\/(-199)). Suppose -11*j - d = -13*j + 5*k, 102 = j - 2*k. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 16, v = -0*v - 5*b + 108. Let g = v + -90. What is the remainder when 74 is divided by g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/36 and 1\/520.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + 2*a**2 - a. Let g be r(1). Find the third derivative of -3*s**4 + 4*s**2 + 2*s**4 - s**g wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/110 and -59\/48174060.\nAnswer: 48174060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 291452*g**2 + 291456*g**2 + 291448*g**2 - 1165804*g**2 + 291449*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (1 - 1) - (1 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 1. Suppose w = -5*b + 317 + 103. Calculate the least common multiple of 10 and (192\/b)\/(2\/7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**(-1\/2))**(2\/7)*r**(-2)\/r*r**(-2\/13)*(r**(-2\/3)*r**(-5))**16 assuming r is positive.\nAnswer: r**(-25496\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o**2*p**3 - 955*o**2*p + 421*p**3 + 2*p wrt p?\nAnswer: -12*o**2*p + 2526*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3806 + -5?\nAnswer: 3801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 52 + 26. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36944.\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g**2 - 2. Let t(f) = -4*f**2 + 1 + 0*f**2 + f + 3*f**2 + 0*f. Let u(a) = -o(a) + t(a). Let w be u(-4). Solve -d = -6*d - w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 z when four letters picked without replacement from zzkygkzyzzggzzyccg.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 57\/15 + (-3)\/(-15). Let z(k) = k**2 - 4*k + 4. Let f be z(s). Which is greater: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 34 = 44. Solve -3*i = 4*h - 2*h - 8, -2*h - o*i = -16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14560)\/18928 + 120\/(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39bc3 (base 16) to base 13.\nAnswer: 83840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 316 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2119*j**3*p**2 + 10*j*p**2 + 6*p**2 - 476 wrt j.\nAnswer: 6357*j**2*p**2 + 10*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6728445 (base 9) to base 2.\nAnswer: 1101110100000110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3097398.\nAnswer: 2, 3, 516233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 3) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {g: 7, c: 9}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2.1  (b) -0.1  (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -511362*r + 27102192. Calculate p(53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-6)\/(r**3\/r) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 49ba (base 13) to base 8\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/9)\/((-1)\/9). Suppose -y*c + 4*c = 10. What is the tens digit of (c\/20)\/(1\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cocnoococlccncllnl. What is prob of sequence nccc?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0834691 to 4 decimal places.\nAnswer: -0.0835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4299 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -735 = -57*k + 5*k + 3*k. Do -196 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (-6 - (-3 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 6 - 9)*(0*o**5 + 2*o**5 + 2*o**5).\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 2*k + 2141 = 2135, 13 = 5*m - 9*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + 15. Let a = l - -14. Let r be (2\/a)\/(2\/9). Solve 0 = -4*q, -q - r = -3*o - 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 371*h - 297*h = 1480 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5456 = -4524475*g + 4524351*g for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009293968641 to six dps.\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11, 0, -1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 4975.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3)*u)**47*(u*u**5)\/u*u*u**(-3\/5)*u assuming u is positive.\nAnswer: u**(-438\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**6 + j**5 + j**3 + j**2 - j. Let f(q) = -5*q**6 - q**5 - q**3 + 4*q**2 + q. Let p(u) = f(u) + i(u). Find the third derivative of p(c) wrt c.\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**3 + u + 1. Let i be k(-1). Suppose 0 = -272*y + 275*y - 12. Sort 0, y, i in decreasing order.\nAnswer: y, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33409 + 33455. Solve 0 = 22*h - 68*h - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + u = 9*a - 334, 4*a - 450 = -u. Suppose 3*k - 20 - 8 = -j, 4*j = -5*k + a. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58922*i - 47938*i + 156502*i.\nAnswer: 167486*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**2 - 34*j - 75. What is v(-11)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 5*r + 15 = 0, 4*h - r = -24 + 32 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -63 - -69. Suppose -4 = -k*w + 14. Solve 2*n + 5 = w*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 3 + -18 + 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-102 + 97)\/(0 + -1). Solve 3*q + 2*w = 21, 29*q + 25 = 31*q + k*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4087 in -5, 1\/4, -0.05?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35 or -11?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 75*(2080\/(-39))\/(-8). What is the highest common divisor of q and 980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 58.3362205 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 81897 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2. Let s(x) = 12*x**2 - 1. Suppose -3*b - 5 = -v + 6, -2*b + 5*v = 16. Let n(u) = -13*u**2 + 1. Let t(z) = b*n(z) - 4*s(z). Determine a(t(y)).\nAnswer: 162*y**4 - 36*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44692282.\nAnswer: 2, 331, 67511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 5*t + 2. Let f be o(-8). Let v = f + -18. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 773130.2 weeks to milliseconds.\nAnswer: 467589144960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l**2*u**3 + 6*l**2*u + 16*l**2 - 3*l*u**3 - l + 8*u**3 - 12*u**2 + 2*u wrt u.\nAnswer: -6*l**2*u - 18*l*u + 48*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2792076 and 7052?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n + 2*s - 25, -3*n - 13 = 5*s + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.297933 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1876 and 487004?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -440 = -5*k - q, -k - q = -6*q - 114. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -40, -49, -58?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9.384 and -0.4906.\nAnswer: -4.6037904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 4*m**2 + m - 4. Let o be t(4). Let w = 47 - 51. Let v = o - w. Calculate the remainder when 10 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, h: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from mddrmmmmmmdmdmmmj.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -197\/3630 and -73\/990?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, a: 1, r: 1, c: 1, t: 1, z: 1}. What is prob of picking 1 m and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6222 and 408.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/6)\/(4 + 0)*-6. What are the prime factors of (g + (-10)\/(-14))\/(6\/273)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -25 + -6839?\nAnswer: -6864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 39 - ((40 - 20 - 25) + -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 4.0367997us?\nAnswer: 0.00000000004672221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.04023 and -0.38.\nAnswer: -0.33977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.659159s?\nAnswer: 659159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/(-3 - (2 - 2)). Let u = 65 + -64. Let h = -74\/5 - -15. What is the third smallest value in h, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/112 and 17\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2753 or -239?\nAnswer: 2753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 17*p**2 - 6*p + 1. Let k be u(3). Suppose -132*c - 16 = -k*c. Solve 0 = c*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 8:33 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*f**2 - 5*f**2 + 34*f**2 - 16*f**2 - 18*f**2.\nAnswer: -29*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 3*w**2 - 5*w - 3. Let g be u(-2). Suppose g*p = 16 + 5. Solve -4*r - 12 = 0, r + p = -4*n - 0*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -5*g**3 - 2*g**2 - 3*g - 2. Let y(c) = 5*c + 24. Let u be y(-7). Let v = 13 + u. Let h(t) = -4*t**3 - t**2 - 2*t - 2. What is v*q(d) - 3*h(d)?\nAnswer: 2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f. Let q be x(-2). Suppose -3*s + 6 = 9. Suppose -4*l - 4 = 0, 0*h + 8 = -h - 5*l. What is the nearest to q in h, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t - t + 0*t + (-t + 2*t - 3*t)*(3 + 0 - 5) - 3*t + t + 4*t + (-3*t + 5 - 5)*(3 + 3 + 0) to i*t + h and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 (base 11) in base 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -3*q - 20, -4 = 2*q - 2*t + 6. Suppose -2*d - 5*s - 5 + 2 = 0, -d - s = q. Does d = -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 16. Suppose 4*m - 1 = -4*r - 9, 0 = -5*r - l*m - 12. Let n be 1 - (r\/(-9))\/((-2)\/(-214806)). What is n rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**23\/y**(-2\/15))**(-1\/34))**(2\/31) assuming y is positive.\nAnswer: y**(-347\/7905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10.2 and -111.98.\nAnswer: -122.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (77*(-164)\/902)\/((-4)\/(-14))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-4)*167\/82498*-152.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24274927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*z + 259 - 43. Calculate the remainder when 177 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 - -24. Calculate the common denominator of m and 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o**3 + 50*o**2 + 52*o - 11. What is z(-11)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 8*p. Let l be h(6). Let i be 87\/(-15) - (-52)\/65. Sort 3, l, -4, i in decreasing order.\nAnswer: l, 3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2699998 and -0.1.\nAnswer: 269999.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*k - k**2 - 5*k**2 + 7*k**2 to h + g*k**2 + f*k and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + n + 2. Let s(r) = -r**2 + r - 1. Determine -c(w) - s(w).\nAnswer: 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -137 + 30 - -36 - -50?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3220321 (base 4) to base 10.\nAnswer: -14905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -0*g. Suppose q + q - 10 = g. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3*r**2. Let o(i) = -1319291*i. Let p(k) = -835*k. Let a(j) = -3*o(j) + 4741*p(j). Calculate a(f(c)).\nAnswer: 2586*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-2)*8\/84. Put -3\/4, z, 0.3 in ascending order.\nAnswer: -3\/4, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 716.7158 minutes in milliseconds?\nAnswer: 43002948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**4\/4 + 19*s**3\/4 + 65*s**2\/4 + 61*s\/4 + 9\/2 = 0. What is s?\nAnswer: -1, -2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -6*y + 10. Suppose y*o - 102 = -o. Calculate the remainder when o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-58*w - 31*w + 4*w)*(-3*w**2 - 5*w + 5*w) + (0 + 0 + 2)*(-3*w**2 + 2*w**3 + 3*w**2) - w**3 - 2*w**3 + 2*w**3 to l + i*w**2 + b*w + g*w**3 and give g.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 77*k**2 - 1402*k - 444. What is z(-48)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/9 + 1238*i\/9 + 383161\/9.\nAnswer: (i + 619)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 + -2.8. Let a = -84 + 71.8. Let m = -12 - a. Sort -1\/4, f, m.\nAnswer: f, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 57*x**2 + 52*x**2 - 168*x**2 + 51*x**2. Let q(o) = 25*o**2. Calculate w(q(z)).\nAnswer: -5000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) -3  (c) -2  (d) 62393  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = h - 0. Let n(p) = -p - 3*p - p**h - 2*p**3. Let f be 24\/32*(-2 + -2). Let o(t) = -2*t**3 - 3*t. Give f*n(j) + 4*o(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fifty-one halves of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 20b62 (base 12) to base 6\nAnswer: 531402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 397*q**4 - 4*q - 1867 wrt q?\nAnswer: 1588*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -3. Let k(c) = -c + 500. Calculate 14*j(h) + 2*k(h).\nAnswer: -2*h + 958","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 2609105.\nAnswer: 1\/521821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174774.\nAnswer: 2, 3, 29129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -10 - 9 - 25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/13)\/t**(-3))**(-1\/7)\/(t\/((t*t**2)\/t)*(t**(-4\/7)\/t)\/t)**(-50) assuming t is positive.\nAnswer: t**(-16287\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-50)\/480*48\/180.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 121 - 137. Let x be 0 + -3 - (1 + 2). What is the remainder when 11 is divided by x\/(-5)*(-40)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6102720.\nAnswer: 2, 3, 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 9, 0, -1\/8, -2\/9, 1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jwjffjfgjfwgojfjff. What is prob of sequence jf?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -154, -373, -680, -1075?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -248 divided by 4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 125189 and 5426671?\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-6))\/(128\/72 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*y - 4. Let t(j) be the second derivative of -j**5\/20 - 5*j**4\/12 - 7*j**3\/6 + j**2 + 67*j. Does 43 divide t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*b + 750 - 254. Sort 6, -5, -1, 3, b.\nAnswer: b, -5, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 7, -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 2) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 481204.\nAnswer: 2, 59, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of k**4\/12 + 19*k**3\/6 - k**2 - 8. Let q(l) = l + 9. Let w(a) = -5*q(a) + 2*v(a). Calculate w(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.128 and 28.\nAnswer: -3.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 264197 is divided by 179.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/95, 3.65, -7, -3, 1\/2 in ascending order.\nAnswer: -7, -3, -2\/95, 1\/2, 3.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + 71*r**2 + 1270*r - 189. Determine n(-36).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*n - 14. Let u(h) = -h**3 - 4*h**2 + 8*h + 5. Let s be u(-6). Let o = s - 30. Sort n, o, -2 in descending order.\nAnswer: n, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -636 + 636. Factor 1\/3*s**2 + s + b.\nAnswer: s*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 407806666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 45 = -13*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*x - 15 + 15 - 8*x as f + h*x and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -10100 (base 3) to base 2\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 227 - -2?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 3*k + 207 = 165, 4*h + k - 39 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6915093 is divided by 864362.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3\/7 - 3080020*n**2\/7 + 6160034*n\/7 - 3080016\/7.\nAnswer: 2*(n - 1540008)*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -12  (b) 0.3477  (c) -0.3  (d) 0.5  (e) -0.4  (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 + q - 1. Let v(k) = 3*k**2 + 252*k - 5049. Let z(a) = 6*u(a) - v(a). Solve z(x) = 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2231.457t to micrograms.\nAnswer: 2231457000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4788556519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, p: 8}. What is prob of sequence fppp?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -607, -2039, -5931, -13513, -26015, -44667, -70699?\n\"Answer: -205*j**3 + 3*j - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -77*p**6\/5 - 11*p**5\/20 - 5*p**4\/12 - 372*p**2 - 13667*p. What is the third derivative of z(i) wrt i?\nAnswer: -11088*i - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 128607475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3009 + -2?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2520560 (base 7) to base 9.\nAnswer: -544018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 5:34 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -535, -552, -579, -616, -663, -720?\n\"Answer: -5*s**2 - 2*s - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37179 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -3*v - 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24303339 a multiple of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -114*k - 85. Let a(l) = 316*l + 254. Let m(f) = -4*a(f) - 11*o(f). What is m(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.95 + 3.8. What is the third smallest value in -4, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 7*c + 10 + 4*c**3 + 11*c**2 + c**3 + 7*c + 2*c. Let i(r) = -r**3 - 2*r**2 - 3*r - 2. What is -11*i(m) - 2*k(m)?\nAnswer: m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12302234*k**2 - 2*k + 45048853.\nAnswer: -24604468*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 4*v + 1. Suppose 3*m + 9 = 3*d, 4*m + 16*d - 13*d + 33 = 0. Let z(p) = p - p - p + 0. What is m*z(x) - j(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/20 and 19\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**3 + 4*q + 11. Give o(4).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159292 is divided by 2180?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -329, -33, -4, -8.\nAnswer: -329, -33, -8, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11160262*f**2 - 3105536*f?\nAnswer: -22320524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - -1*sqrt(152)) + sqrt(152))\/sqrt(8)*-3.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14237*a - 14291*a + 3080214. What is the ten thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 45*p + 8. Let h be 1 + (0 - -6) + -3. Let a(l) = -89*l - 17. Let j(y) = h*a(y) + 9*c(y). Is j(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45*2287.3\nAnswer: 102928.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 700 + -426. Let j = -82 + p. What is the greatest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59030 is divided by 72?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -5*s**4\/4 - 5*s**3\/6 + 18*s. Factor a(r).\nAnswer: -5*r*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 = 46*o - 59*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*sqrt(396) - sqrt(396))**2 - (2 + sqrt(396) + -3*sqrt(396))**2.\nAnswer: 48*sqrt(11) + 65336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35440 divided by -35440.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 47a32 + -2?\nAnswer: 47a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -24 * -0.16\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 7*p = 4. Let g(l) be the first derivative of l**4\/4 + l**2\/2 - 90. Give g(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85 + (-69 - 55) + 54\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -7. Let x be n + 5 - 0 - 1. Calculate the highest common divisor of 21 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 + 15*f - 4. What is the units digit of i(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -509*l**2 - 2162*l**2 - 567*l**2 - 253*l**2 - 75*l**2 as i*l + d*l**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8 and 354578.\nAnswer: -2836624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*a - 15 + 19, 35 = 5*s + 5*a. Solve 0*q - 8 = s*k - q, 1 = k - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 11, 19, 31?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*y + 9 = -3*s, s - 5*y + 15 = 0. Suppose -5*u + s = -195. Let b = -36 + u. Solve -m + 6*m = -z + 24, -b*z + 5*m - 28 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*v + 3*i - 3 = 0, 5*v + i = 11. What is the greatest common factor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -6*m + 7. Let o(s) = s**2 - 4. Let c be o(3). Let y be i(c). Let t = 13 - y. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 441 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 128 = -275*y + 934. Let m(c) = 9*c**2 - 3. Let k(u) = 8*u**2 + u - 2. Calculate y*k(w) - 2*m(w).\nAnswer: 6*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(2\/8)*3\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 12*r**2 + 21*r - 13. Calculate t(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 55\/6 - 26\/3. Factor x**3 - 1\/2*x**4 - 1\/2 + x**2 - q*x**5 - 1\/2*x.\nAnswer: -(x - 1)**2*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*h**4\/2 + 115*h**3 + 6515*h**2\/2 + 2900*h - 6270 = 0. What is h?\nAnswer: -19, -2, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -160, 1, -5, 5 in ascending order.\nAnswer: -160, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3330 divided by -45?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 187\/19088160 and -163\/5809440?\nAnswer: 133617120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.07 - -32.67. Let z = 48 - w. Let g = z + -18. What is the fourth biggest value in -1\/2, g, -0.3, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/966*15*(-2)\/(-20)*8?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**5\/((i\/(i\/(i\/(((i**15\/i)\/i)\/i*i)*i)))\/i) assuming i is positive.\nAnswer: i**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b + 5. What is the smallest common multiple of c(6) and ((-12)\/(-30))\/((-3)\/(-45))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 78*m**2 + 73*m + 303. Determine u(77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 782 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 19*u + 154. Let o be p(-6). Suppose 5*g - 13*c = -18*c + 1800, 0 = 2*g - o*c - 738. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (4 - (4 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/14 - (-126)\/147?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f - 158 - 3*f - f + 51*f**3 + 7*f**2 - 52*f**3 in the form v*f**3 + n*f**2 + s + y*f and give s.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 79 = 2*b + 27, 2*b = -5*h + 110. Suppose 0 = -7*w + 18 + h. Suppose 98 = w*d - 184. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2877 - 2510. What is the remainder when p is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 133115 + 4?\nAnswer: 133119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 + 150 - 286 + 136.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**5\/5 + 614*t**4\/5 - 3724*t**3 + 3478*t**2 + 18619*t\/5 - 18004\/5 = 0. What is t?\nAnswer: -643, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - 453\/378 - 2\/(-9). What is the smallest value in 0, 0.1, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 178\/623*(-3)\/(-6)*77\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 19*r - 9 + 3 + 0. Let u be a(-5). What is u rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 + 59*z + 291. What is the units digit of u(52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1745 (base 9) in base 10?\nAnswer: -1337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 - -22023?\nAnswer: 22015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3989368?\nAnswer: 2, 43, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2*sqrt(19) + 0)*-2.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4685301.\nAnswer: 3, 520589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 298.2 + -286.44. Round b to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 2*v + 33 = 3*i, -v = 4*i - 34. Suppose -9 = -4*h + 7. Solve p - h*p = i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6515*y**2*z + 9*y**2 - 2*y - 116 wrt z.\nAnswer: 6515*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-3)*t*t**(-3\/7)*t)**(9\/4) assuming t is positive.\nAnswer: t**(351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - ((9\/(-3))\/(-3) + 1)\/((-1974)\/10293)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x**2 - 6*x**2 - 2*x**2 - 14*x**2 + 2*x**3.\nAnswer: 2*x**3 - 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(816)\/sqrt(3))*1.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/1366156 and 22\/93147.\nAnswer: 4098468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -23  (b) 0.2  (c) 2  (d) 65  (e) 0.006  (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3*3\/2*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14 and 1.5087?\nAnswer: 21.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, w: 4, q: 5, n: 2, s: 1, l: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k + 11*k + 36 = 0. What is the second biggest value in k, -2\/3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6114*u + 216. Let d be s(-5). Suppose 5*j - d = -j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 75*s - 824. Let u be w(11). Which is bigger: u or -2\/135?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 107*w + 397 + 566 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 1 + -9 - -56.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - 8*d**2 - 8*d - 6. Let h be y(-7). Sort 0.3, -5, h.\nAnswer: -5, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 5:22 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 964678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - q - 2. Let d be o(0). Let s(l) = 2*l**2. Let m(a) = a**2 - a. Let y(w) = m(w) - s(w). Give y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of 7*d**5\/5 - 13*d**4\/6 + d**2\/2 + 14*d. Find the third derivative of w(u) wrt u.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2 + (-13746)\/948\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -17 - (-336 + 271) - (0 + 94)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 2*c - 1 + 1 + c + (1 + 1 - 1)*(1 - 1 - 2*c) - 2 + 2 + 2*c + 3*c + 0*c - 2*c + 0 - c + 0.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -25 - 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 197103100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 91.97617ns?\nAnswer: 0.09197617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16*-116.2.\nAnswer: -1859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of 172*u**3\/3 - 37*u**2\/2 - u - 114. Differentiate o(y) wrt y.\nAnswer: 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29260555*c**3*r**3 + 34*c**3*r**2 - 195*c**2*r**2 - c**2*r + 3*r**2 wrt r.\nAnswer: 175563330*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 188527104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 18*o = 324. Suppose -64 = -o*b + 62. Let q(a) = 9*a - 2. Let r be q(1). Is b greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 64.48 + -58. Let v = 7.2 + -0.2. Let x = g - v. What is x rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (5 + 5 + (-1 - 1) - 13) + -81.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220020 - -1122100?\nAnswer: 202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 1:38 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 479051 is divided by 307.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -0.5  (c) -117  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 divided by 24362.\nAnswer: 29\/24362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 377430.4s?\nAnswer: 377430400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -1c0d?\nAnswer: 1c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -46530737 or -46530733?\nAnswer: -46530737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1765.6436 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -3*g**2. Let x(j) = 7*j - j + 2*j + 0*j. Let l(f) = f. Let d(t) = 6*l(t) - x(t). Determine d(p(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*-1*(-1)\/2. Let n = -368\/15 + 126\/5. Let r = -0.7 - -1. What is the nearest to -0.2 in n, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 3*i + 299, -w + 3*w - 5*i = -169. Let d = w - -86. Let b be (-9)\/(-4) - 21\/(-28). Solve 4*n = b*y - 4, 3*n + d = y + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -124\/5 - -1361\/70. Calculate the common denominator of o and -25\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q - 7. Let b be n(-9). Suppose 0*v - b*v + 10 = 0. Suppose -2*i + 4*y = -110, v*y = -21 + 6. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 44 = -4. What is the remainder when 18 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 6:48 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18228\/910 - -24 - (-204)\/(-6630).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 20 = -5. Let j be 74\/333 + (-39)\/54. Let n = -35 - -139\/4. Which is the closest to j?  (a) 5  (b) n  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 3.03, -1\/7, -1\/5, 0, 1, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r + 12. Let o(g) be the third derivative of g**5\/60 - 132*g**2. Calculate o(x(b)).\nAnswer: b**2 - 24*b + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 54 + -26. Let l(d) = -d**3 + 9*d**2 + 13*d + 1. Let g be l(10). Let a = g - 27. What is the least common multiple of s and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 78 = 5*j + 28, 14 = c + 5*j. Calculate the least common multiple of c and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, h: 11}. Give prob of picking 2 h.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1614\/7  (b) 17  (c) 0.2  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -46*r - 1. Let s(b) = 16143700*b - 16143700*b - 9*b**2. What is s(f(k))?\nAnswer: -19044*k**2 - 828*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 768 + -218. Is y a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -4*o + 136, -5*o - 2*x + 174 = -6*x. Suppose 0*i + 46 = 3*v + 2*i, -4*v + o = -2*i. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10487 or -10486?\nAnswer: -10487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 81561 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: Add together 4955441 and -62.\nAnswer: 4955379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15.6 + -15.599793. Round i to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.57477 litres in millilitres?\nAnswer: 72574.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14202220*u**2 - 220469*u + 16.\nAnswer: 28404440","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 6:21 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 422*o + 1054 = 84*o - 636 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(90) + sqrt(90)*-2 + sqrt(90))*-3)\/(sqrt(2) - ((-5*sqrt(2) - sqrt(2)) + sqrt(2))*-4 - (sqrt(2) - sqrt(22)\/sqrt(11))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2542 and 42222?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2134 + 2133. Let n(k) = -k**3 + 2*k**2 + k + 4. Let z(f) = 1. Let w(b) = n(b) - 4*z(b). Calculate w(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5573, 5580, 5587, 5594, 5601, 5608?\nAnswer: 5615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3269343 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2\/2 + 5517360*i - 5073543561600.\nAnswer: -3*(i - 1839120)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19277733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3853 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**5\/3 + 43342*v**4\/3 - 260270*v**3 - 130022*v**2\/3 + 2429096*v\/3 - 520536 = 0. Calculate v.\nAnswer: -21689, -2, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2477621537 to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b + 3. Suppose -3*x = 17 - 2. Determine w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -38 - -15 - (2 + (15 - 7))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6206883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.412837 millilitres to litres.\nAnswer: 0.001412837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4\/13, 5, 4, -19, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49703937 divided by -51.\nAnswer: -974587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 77359252 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 8, 16, 858.\nAnswer: -12, 8, 16, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 325996 or 326008?\nAnswer: 325996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 80 = 4*j - 9, -g + 75 = 5*j. Find the common denominator of 63\/16 and (57\/10)\/(j\/10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g + 4*g**5 + 3*g - 3*g**4 + g**5 + 3*g**4 + (-5*g**3 + 2*g**3 - 2*g**3)*(-g**2 + 1 - 1) - 46203*g + 46203*g + 329*g**5.\nAnswer: 339*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 22*w**2 + 3*w + 52. Let u be t(22). Suppose 8*x - u - 362 = 0. Calculate the remainder when x is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 + 46.93. Let w = n - -0.07. Let p(x) = x**3 + 5*x**2 + 1. Let t be p(-5). What is the biggest value in w, t, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 976 divide 6462096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrwwrwrwwwwrrr. What is prob of sequence rrwr?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2))**17*(s**(-2))**28 assuming s is positive.\nAnswer: s**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 4*j + 6. Is -19\/5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3\/604?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zle when three letters picked without replacement from {f: 1, z: 3, m: 1, i: 1, e: 1, l: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -2, 10, 26, 46?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2797406523 take away -3.592?\nAnswer: -2797406519.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*a + 5 = -4*a, 20 = 4*v - 2*a. Let c be 13\/v + 8\/(-24). Solve n + c = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -4213*k + 84 - 25 + 4209*k. Let s be g(11). Calculate the highest common factor of s and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = 5*j + 5*q + 16, -3*j = q + 38. Let i(x) = 24*x - 10. Let u(b) = -5*b + 2. Let c(f) = j*u(f) - 3*i(f). Differentiate c(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 3*n = 102. Suppose -5*u + n + 46 = 0. Suppose 5*y - 18 = 3*y. What is the remainder when u is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 5326?\nAnswer: -5327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -13*q**2 + 19*q + 77. What is f(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 5*u - 2. Let i(g) = g + 7. Let b be i(-5). Calculate the remainder when 2\/8*4 + 22 is divided by l(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 - 10 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.26706 * 2\nAnswer: -0.53412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t - 3. Suppose -3*j + 4*l = 11, -2*j - l = -6*j + 7. Let c(q) = -8*q - 5 + j + 7*q. Determine 5*c(f) - 4*i(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 641 + -197. Let o be ((-18)\/16*2)\/((-6)\/32). What is the highest common factor of f and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-32))\/((-747)\/332)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 5*b**2 + 8*b + 1. Let y be s(-6). Let k(u) = u**2 + 10*u - 7. Let w be k(y). Suppose 6867044 = w*t + 1627044. Round t to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15 + 105879053.\nAnswer: 105879068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.13828 minutes?\nAnswer: 8296800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -990*q + 11030. What is u(11)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 43, -1, -3 in descending order.\nAnswer: 43, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.214 + 3.214. What is the closest to s in 0.4, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4425855912 plus 10?\nAnswer: -4425855902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3.004  (b) 0.18  (c) -1\/8  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, m: 5, e: 3, v: 3, u: 1, c: 6}. Give prob of sequence vm.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4880 + 3318 = 71*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 595620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 564 = 269. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -16*b + 6. Let x(z) = -z + 1. Let a(c) = m(c) - 6*x(c). Is a(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**3 - h**2 - 7*h + 5. Let i be r(0). Let u(b) = b**2 - 4*b + 2. Determine u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 9) + -2 + 968\/110. What is the third smallest value in 7, -0.2, -2\/11, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xkkckkkxekexexkkkc. Give prob of picking 2 e and 1 c.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**2 + 10*k + 329. Suppose -4*n = 3*m + 32, -m + 4*n - 11 - 5 = 0. Let i be y(m). What is the greatest common divisor of i and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - 0. Let g(u) be the third derivative of -11*u**4\/24 + 6*u**2. What are the prime factors of g(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (122*z**3 + 6517*z - 6517*z)*(3 + 2 - 3)*(-5 - 3 + 6).\nAnswer: -488*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -s - 180. Suppose -8*b = -10*b - 40. Calculate the common denominator of 63\/4 and (b\/6)\/(88\/s).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 8  (b) -0.031731  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*w + 152 + 5*w - 2*w - 2*w.\nAnswer: -2*w + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47147 is divided by 248.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106274.\nAnswer: 2, 7, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*r = -1256 - 124. What is the highest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 4:43 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 52\/14 + 60\/210. Which is bigger: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -164 + -600444?\nAnswer: -600641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -5*m**2. Let v(o) = o**3 - 12*o**2 - o + 14. Let z be (-2 - -32)*(-2)\/(-5). Let i be v(z). Let l(h) = 0*h**i + h**2 - h**2 + h**2. Give t(l(k)).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(1000\/75)*1540\/(-726)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2206\/253690*-1*5\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1521 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -5*a + 45. Suppose 4*q - q - 176 = 5*p, -3*p = -a*q + 288. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244384 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + m)*(5*m + 2*m + 8*m).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express c**2 + 0*c**2 - 4*c**2 + c**2 - 3*c**2 + 0*c**2 + (5*c - 5*c**2 - 5*c)*(1 - 1 + 1) as z*c**2 + s*c + r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*q - 176, 110 = 4*p + q - 110. Let b(a) = 7*a - 12. Let y be (-16)\/6*(-126)\/56. Calculate the remainder when p is divided by b(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 8081, 1\/5, -0.2 in decreasing order.\nAnswer: 8081, 7, 1\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 11*x**3 - 13*x**2 - 4*x - 1. Let k(w) = w**3 - 2*w**2. Let a(v) = 8*v**2 - 19*v + 2. Let d be a(2). Let o(f) = d*p(f) + 28*k(f). Factor o(z).\nAnswer: -4*(z - 1)*(z + 1)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/7))**(-6\/11)\/(p**(2\/17)*p*p**(-2\/3)\/p) assuming p is positive.\nAnswer: p**(1544\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 0 - 2 - -6. What is i in 34*i**4 + 32*i**4 - 64*i**4 - p*i**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 433533.6 months to years.\nAnswer: 36127.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, b: 1, h: 3, k: 3, n: 2, y: 1}. Give prob of sequence nkcn.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 (-2*f + 1 - 1)*(-3*f - 3*f + 4*f + (-4 + 1 + 1)*(-4 + 4 + 3*f) - 2*f - f + 5*f - 4*f + f + f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, c: 1, k: 3, u: 6}. What is prob of picking 2 u and 2 p?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -f - 5. What is n in 0*n**4 - 1\/3*n**f + 0*n + 0*n**3 + 0*n**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*s = -8*s + 76 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 1 = -221. Let y = -371\/5 - r. What is the third biggest value in y, 29, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 2*r + 39 - 33, -r + 3 = -4*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04 + 0. Let l = p + -0.54. Let q be (-2)\/8 + 1\/4. Which is the nearest to q?  (a) -0.2  (b) l  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/15374 and -23\/8.\nAnswer: 61496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -234494.\nAnswer: -234489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -334 + -27?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90 + -105 + 7 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39 + 13. Let x be (20\/9)\/(o\/(-39)). Which is bigger: 4 or x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, s: 14}. Give prob of sequence ss.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 35 = -2*k + t, -5*k - 5*t = -95. What is the greatest common divisor of k and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 140 + 40 = 0. Let b be -5 + -4 - (-1 - 1). What is the remainder when d is divided by (-47)\/(-7) + (-2)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**4 - 7216*m**3 - 340224*m**2 - 5410816*m - 28770304.\nAnswer: -4*(m + 16)**3*(m + 1756)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -746 - -748. Let x(a) = -a**2 - 11*a + 30. Let r be x(z). Let v be (2\/(-4))\/(2\/12). Sort 0, v, r, 1 in descending order.\nAnswer: r, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17.37 in 3, -0.3, -0.02, 0.4, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m\/m**(-1)))\/m)\/(m**(2\/13)*m))**(2\/89) assuming m is positive.\nAnswer: m**(-82\/1157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1720 is divided by 220.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**5 - 2*p**2 + 2*p**2 + (-2*p**2 + 2*p**2 - p**3)*(-3 + 3 + 2*p)*(419 + 36*p - 419).\nAnswer: -74*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1149, 3996, 6843, 9690, 12537?\n\"Answer: 2847*j - 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 129*q**2. Let w(o) = 10*o + 11. Calculate v(w(n)).\nAnswer: 12900*n**2 + 28380*n + 15609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/(1*sqrt(2))*4)\/(-2*sqrt(11)*-4 - (sqrt(121)\/(sqrt(44)\/sqrt(4)) + sqrt(11))).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 5*q = 2890, -3*p - 3*q + 2*q + 1724 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20167621 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 - 3*k**2 - k**2 + (k + 3*k - 2*k)*(k - 9*k + 0*k))*(308*k - 306*k + 2 + 3*k**2 - 1).\nAnswer: -54*k**4 - 36*k**3 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1650 divided by -5\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -711771, -711779, -711791, -711807, -711827?\nAnswer: -711851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -166320.081076+124\nAnswer: -166196.081076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p**4 + 229*p**3 + 2595*p**2 - 2061*p - 23436 = 0. Calculate p.\nAnswer: -217, -12, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -4\/3, 27, 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -124 + 0*o**3 + 0*o + 164\/5*o**5 + 33*o**2 + 0*o**4. Find the second derivative of h(t) wrt t.\nAnswer: 1968*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -636*c. Let n(k) = k**2. Calculate a(n(d)).\nAnswer: -636*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 139 + -123. Suppose -p + 4 = -2*p, -4*l + y = -p. Find the second derivative of -23*d - 2*d**l + 2*d**3 + 21*d**3 wrt d.\nAnswer: 126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/18 and 8\/5532879.\nAnswer: 33197274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -66 (base 8) to base 16.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -108, -80, -54, -30, -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 764119396?\nAnswer: 2, 191029849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2044800 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 804742.4 days?\nAnswer: 69529743360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 41*n**2 + 312*n - 18*n**3 + 4*n**2 - 3*n**4 - 336*n.\nAnswer: -3*n*(n - 1)**2*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -4, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -350416*k + 4204980. Calculate i(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 12*t**2 - 11*t. Let z be m(-11). Suppose -2*p + 5*d - 25 = z, d + d - 10 = 2*p. Sort p, 5, 4 in increasing order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fmi when three letters picked without replacement from {f: 3, k: 1, i: 3, m: 1, r: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 + 0.2. Let n(y) = -y + 9. Let i be n(6). What is the third smallest value in j, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k + 4*k - 4*k**2. Let m(i) = 3*i**2 + 11. Let j(n) = -n**2 - 4. Let z(q) = 11*j(q) + 4*m(q). Determine z(x(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((6\/234*-9)\/(-3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 1, -68 in decreasing order.\nAnswer: 20, 1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 249919, 249922, 249925, 249928, 249931?\n\"Answer: 3*i + 249916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 4:44 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**0*f)\/f*f)\/(f*f**8) assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + -3. Let y = -7 + o. Let b = 7.3 + -7. Sort 3, b, y.\nAnswer: b, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 4*n + 4, 15 = p + 4*p - 5*n. Suppose 4*x + p*m - 11626 = -3038, -m - 2153 = -x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2798, 3290 in increasing order.\nAnswer: -4, 2798, 3290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 3 - 3)*(45 - 16*l - 24 - 24).\nAnswer: 16*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 2*t - 4*g + 10*g, -5*t + 2*g = 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + b + 4*w + 1, -5*w = 5. Let a = -270 + 3507\/13. Let h = -71\/26 - a. What is the closest to b in h, 1\/9, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -6*z - 3. Let w be x(5). Let i(j) = j**3 + 50. Let p be i(0). Let s = p + w. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4*(65\/40 + 2)*-4. Calculate the highest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*f + 16 - 61 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4249*2641\nAnswer: 11221609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 8260*x**3 + x**2 - 18*x + 35. Is s(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -382 + 3049\/8. Find the common denominator of b and (-2 - -2) + (-77)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -104.8582 - 0?\nAnswer: -104.8582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 964335 to the power of 1\/2, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**2 - 796140*w + 65270032 = 0 for w.\nAnswer: 82, 397988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 3*i**2 - 3*i - 19. Let l be x(-6). Let s = l + -95. What is the hundreds digit of 105 - (32\/18 - s\/(-54))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 454202 (base 9) to base 10.\nAnswer: 272081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.224778mm to micrometers.\nAnswer: 6224.778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/35 and 41\/85197.\nAnswer: 425985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 22743*y + 295816. Calculate f(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 8 = -n, 2*y + n - 26 = -14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 539*0.2.\nAnswer: 107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 0. Let q = 19 - 1.6. Let t = 17 - q. Which is the nearest to -2\/11?  (a) 1\/4  (b) z  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from knawzwvkv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*s + 7 - 7 + 0 + 2*s + 0 + (1 - 4 + 2)*(-2*s + 0*s + 0*s) - 3*s + s + s)*(1 - 3*s - 1) + (82 - 82 - 8*s)*(-s + 2*s - 2*s).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*k + 7*d - 2*d, 3*k - 4*d - 4 = 0. Let i(l) = 2*l + 6 + k*l + 5. Calculate the remainder when 21 is divided by i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -868146930*l**3 - 105710685*l**2 wrt l?\nAnswer: -5208881580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 453425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(5\/8))\/b*b*b**(8\/11) assuming b is positive.\nAnswer: b**(97\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -514666044*f**6 + 29468*f**2 - f - 286?\nAnswer: -61759925280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13634 - 17552?\nAnswer: -32286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/162 and 71\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 3:56 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1062784901.\nAnswer: 1087, 977723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c + 4. Let u(a) = 0*a + 449 - 447 - 2*a. Let x(i) = -1 + 2 + 6*i - 5*i. Let v(z) = -u(z) - x(z). What is -2*d(k) - 3*v(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*y + 23*y = 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50601 - 807 = -1512*g for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100001 (base 3) to base 11.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 0.4  (c) -2\/11  (d) -2  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1185, -2590, -3995?\nAnswer: -5400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (b**2 - 5*b**2 + b**2)*(3*b + b + b) - 10*b**3 - 84*b**2 + 84*b**2 as x*b + j*b**3 + m + t*b**2 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2286 (base 13) to base 12\nAnswer: -2976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3411 * -9121.\nAnswer: 31111731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 12 = a. Let w(h) = -h**2 - 18. Let l be w(0). Let o = 13 + l. Put 0, o, a in increasing order.\nAnswer: o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*o**2\/2 - 84667*o - 40320.\nAnswer: (o - 8064)*(21*o + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 31\/5 of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -5\/518 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -198.219 - 2.689. Let i = 196.908024 + r. Let q = i + 4. What is q rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*n + 50*n + 18 + 67*n wrt n.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -142335*p. Let x(h) = 6*h. Give q(x(r)).\nAnswer: -854010*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 27768*w**2 + 36*w - 28. Let t(m) = m**3 - 20826*m**2 - 28*m + 22. What is 7*c(z) + 9*t(z)?\nAnswer: 2*z**3 + 6942*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/(-9)*(-9)\/(-6). Suppose h*n = 17 + 5. Is 14 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -31890, -31889, -31886, -31881, -31874?\n\"Answer: l**2 - 2*l - 31889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -13*o + 927. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*(k\/k**(-4))\/k*k*k*(k*(k*(k\/k**(-3\/5))\/k)\/k)\/k)\/(k*((k**(-1)\/k)\/k*k*k*k)\/k)**(9\/7) assuming k is positive.\nAnswer: k**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2879 or -46077\/16?\nAnswer: -46077\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*w**2 - 5*w**2 + 15*w**3 + 2*w - 12*w**3)*(-1 - 2 - 7).\nAnswer: -30*w**3 + 70*w**2 - 20*w + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-3))\/2*1. Let b(r) be the third derivative of r**4\/24 - r**3\/6 - 2*r**2. Suppose -5*q - 3 = 2. Let h(t) = -1. What is d*h(k) + q*b(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3629, -3627, -3623, -3617, -3609?\nAnswer: -3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mfmbmrrvbmr. What is prob of picking 1 f and 2 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of 5*u**2\/2 - 36. Let k(x) be the second derivative of -x**4\/3 - x. Calculate o(k(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2034.0001786 - -2034. What is i rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.07672865 to five decimal places.\nAnswer: 1.07673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41 + 24. Let l = -13 - v. Suppose 5*j - l*h - 274 = -84, 114 = 3*j - h. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 41795016 and 41795016.\nAnswer: 41795016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/3858582 and 43\/507.\nAnswer: 50161566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.29 millilitres in litres?\nAnswer: 0.09129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-23 - -19)*(-1)\/2. Solve 1 = -x*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of v**8\/48 + 7*v**5\/30 + 11*v**2. What is the third derivative of f(s) wrt s?\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -846038b3 - -2?\nAnswer: -846038b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f - -18b3da?\nAnswer: 18b3e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 34, -1\/4, -2\/5, -54038?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l**2. Suppose b = 5 - 1. Let g(j) = -8*j - j - b*j - 6*j. What is m(g(n))?\nAnswer: 722*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 40 - 38. Suppose -3*r = 2*k - 4*r - 1, 3*k = n*r. Let w = -579 + 582. Solve 6*d + 12 = 5*t + k*d, 0 = 5*t - d - w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/35 - (-38)\/14. Suppose -3*q - 8735 = q - t*f, -5*q + 4*f = 10920. What is q rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.01 - 0.99. Let j = 1 + i. What is the closest to -0.3 in 1, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -103.26 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -70*i + 48*i + 176 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 319306303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 8:18 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**3)**6)**(-2\/21) assuming x is positive.\nAnswer: x**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 301382 and -7.407?\nAnswer: 301389.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1351*k**2*n - 4*k**2 - 3613*k*n wrt k?\nAnswer: 2702*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.458 + 0.888. What is the smallest value in m, -1, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3386432644 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-30))\/(2\/5)*2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 5 = 4*u + 4, -2*x - 4*u - 6 = 0. Suppose -x*d + 4*n + 872 = 0, 582 = 2*d + 2*n - 5*n. Let a = d - 63. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*o + 118 - 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*7*2\/7. Suppose 0 = -p - q*p + 114. Calculate the highest common factor of p and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4890\/(-6846)*462\/15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -7.8, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16108778 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + sqrt(84) + -1*sqrt(84) + sqrt(84))\/sqrt(4))\/(sqrt(1400)\/sqrt(8)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.411 - 0.011. What is the third smallest value in t, -0.3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5976298 - -77.26.\nAnswer: -5976220.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 8*n**3 - 667141460*n**2 + 667141457*n\/2 - 41696341 = 0.\nAnswer: 1\/4, 83392682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**2 - 301*i + 5549. Determine p(76).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175156?\nAnswer: 2, 43789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 20 = -4*h, 4*h = -0*h + t + 20. Solve -20 = h*l - 0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 44 in -452.3, 6, -8\/7, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 8. Suppose -1 + 25 = 3*t + 3*b, -a*t = 2*b - 25. Suppose 3*h - u - 128 = 0, 0 = -3*h + t*u + 69 + 51. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 218.06763 months to years.\nAnswer: 18.1723025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w + 13*w + 12737 = 5*g, 0 = 5*g + 5*w - 12740. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {e: 1, w: 6, q: 2, b: 5, p: 2}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**3 + 6*o**2 - o + 5. Determine d(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -319*d - 648 = -315*d. Let i = d - -167. Solve t + i*s = -2*t - 31, 0 = -2*t - 2*s - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4010*g*i**5 - 2*g*i + 302*i**5 - i**3 + 2*i**2 + 715540 wrt i.\nAnswer: 240600*g*i**2 + 18120*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -1 + 1 + 22*m**2. Let p(q) = 109*q + 115*q - 334*q + 1 - 1 + 105*q. Calculate p(x(c)).\nAnswer: -110*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -34826, -69734, -104654, -139592, -174554, -209546, -244574, -279644?\n\"Answer: -i**3 - 34901*i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4*(1 - (-76)\/(-16)). Let s be 32\/10 - 3\/b. Solve -o - 1 = s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 116661 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 + 19*s - 62. Let d be g(-20). Let o = 50 + d. Suppose -292 = -12*l + o*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12.2 - -14. Let u = -0.8 + y. What is the closest to u in 3, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -113 + 108 + w + 3*w. Let g(d) = -3*d + 4. Let p(q) = -5*g(q) - 4*y(q). Let s(r) = 8*r. What is s(p(u))?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -3. Let g = 0.31 + -0.217. Let k = g + -0.293. Which is the smallest value?  (a) 3\/5  (b) x  (c) 0  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 651 - 147. Suppose -k = -14*a - 4*a. What is the highest common divisor of 189 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 2511 = 2*i + i, 0 = -5*d + 3*i + 6273. Is 57 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, q: 3, f: 3}. What is prob of sequence ftfq?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 78, 69, 28, -45, -150, -287?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 50809, -2083 in decreasing order.\nAnswer: 50809, -1, -2083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/6477120 and 77\/120186560?\nAnswer: 1081679040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -3*f - 144 + 182, -4*f = l - 28. Let c(s) = 18*s - 21. Let r(x) = -6*x + 7. Determine f*c(y) + 17*r(y).\nAnswer: 6*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 108826055 and 1027.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-75)\/(-7) + 1 - 8280\/(-2898)*14\/(-4)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 273*w = 5*o + 277*w - 10, 3*o - 6 = 4*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -6*k**7\/7 + 10*k**6\/3 - 12*k**5\/5 - 4*k**4\/3 - 19*k - 22. Let r(w) be the first derivative of p(w). What is j in r(j) = 0?\nAnswer: -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + 0 + (-6)\/(-18). Factor 1\/3*w + 0 - m*w**2.\nAnswer: -w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -18*a + 15. Let d be q(2). Let m = -18 - d. Suppose -80 = -m*b - 65. What is the least common multiple of 1 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -41*g - 4669 + 7573 + 6280. Suppose t = 10 + 4. What is the greatest common divisor of g and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 13*h**2 - 32*h - 10. Give u(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -976\/261 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 12*o + 36. Let p be w(-6). Let j = -4 - 1. Which is the closest to p?  (a) -4  (b) -0.3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64.392 + -64. Let u = 0.108 + o. Sort u, 4, -2\/7 in increasing order.\nAnswer: -2\/7, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6772010)\/(-4) + (-9)\/36*10. What is n rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -369*l + 5387841 = -4717962. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 + 8 + (41 - 3) + -4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 - 35080*d + 9410244.\nAnswer: 4*(d - 8493)*(d - 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 444 - 204. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 718879704 by -13563768.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 4 - 11 - (-195 + 157) - 135.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**5 - m**5 + 5*m**5)*(-10 + 147 + 138 + 27).\nAnswer: 302*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4951, -9946, -14943, -19942?\n\"Answer: -k**2 - 4992*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 - 11*a - 13. What is the tens digit of x(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 7763274*a. Let h(t) = -2*t. What is h(b(l))?\nAnswer: -15526548*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 4*u - 156*v + 154*v, 4*v = 8. Calculate the lowest common multiple of 16440 and u.\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 + 7819*k - 3623*k - 4196*k - 1 + 1.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2098, -7779, -17120, -30127, -46806?\n\"Answer: -s**3 - 1824*s**2 - 202*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -265366, -262743, -258370, -252247, -244374?\nAnswer: -234751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 137 + -4?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of 2*s**5\/5 + 23*s**2\/2 - 13. Find the second derivative of r(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10 + 2 + -2 + -3. Suppose 1 = 2*o - g. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -0*x + 10. Let b = -4 - x. What is the first derivative of b + 2 - 4 + d wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52574831, 105149658, 157724479, 210299294, 262874103, 315448906, 368023703?\nAnswer: 420598494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**1*x**(2\/9)*(x*x**3\/x*x)**26)**(-19) assuming x is positive.\nAnswer: x**(-17822\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*u - 44*u + 5*u - 2*u - 9567 + 4784 + 4785.\nAnswer: -79*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 + -0.1. Let w = -41 - -40. Which is the second biggest value?  (a) d  (b) w  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 69 - -4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -31*f + 5. Let g(j) = -14*j + 4. Let w(p) = -27*p + 9. Let s(h) = -5*g(h) + 2*w(h). Let m(v) = -5*s(v) - 2*y(v). Let o(q) = 2*q. Determine m(o(r)).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-15)*10\/2. Let j = p - -4. Find the second derivative of -j*w**3 + 0*w**3 - w - w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.1 + -0.1. Let v = m + -8.5. Let t = 0.38 - 0.08. Which is the closest to 0.1?  (a) t  (b) v  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*g + 61 = 0, 4*j - 8*g - 184 = -3*g. Suppose -v + j = 24. Solve 4*h + v = -4*s + s, s = -h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1060820 and 0.34887.\nAnswer: -1060819.65113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*x - 13 + 53. Let j(p) = p + 12. Determine j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + r = 4*i + 25, -2*r = -3*i - 5. Let m be 0\/1 - 3*(4 + r). What is the highest common divisor of m and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-10)*b\/b**(-1\/2)*b**(2\/13)\/b**(11\/2) assuming b is positive.\nAnswer: b**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-429)\/(-52) - (-1)\/(-4). Suppose -3*m - 3 = -9. Let i(d) = -5*d**2 - d**2 + d**2 + q*d**m. Let t(z) = z. Calculate t(i(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Round -8139000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -3*m**5\/20 + m**2\/2 - 2*m - 3. Let w(l) be the first derivative of n(l). Find the first derivative of w(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/40*16)\/(60\/50)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 0.1, -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 666773*m**2 - 52*m - 1. Let h be s(3). Round h to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 77 + 35 = 0. Suppose -33*z = -c*z + 2178. What is the highest common factor of 110 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*o - q - 23 = 19*o, q + 33 = 3*o. Let r be 2\/5 + 804\/(-10). Calculate the remainder when o is divided by 4\/14 - r\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 + -38. Let q be (3 - (c - -6)) + 15. Suppose -2*a + 10 = 2*t, -t + q = 3*t - 2*a. Calculate the greatest common factor of 32 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 + -13)\/((-42)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n*n**27*n)\/n))\/n*n**(-2\/127))\/(n*n\/n**(-2\/97)*n)**(-4\/25) assuming n is positive.\nAnswer: n**(-8479306\/307975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 4*s = -2*y + 72, -y = -3*s - 3. Suppose f = -f. Suppose f*t - 3*u = 5*t - 113, -18 = -t + 4*u. Calculate the remainder when t is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 + 5*h + 4. Let p be r(-4). Let j = 2 - p. Solve -z = j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 1\/4*q**3 - 3\/2*q**2 - 9\/2 - 25\/4*q = 0.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -662*w - 3150 + 3150.\nAnswer: -662*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1\/4, -0.05.\nAnswer: -0.05, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + -22.5. Let n = -25 - r. Let l = 4.5 - n. Is -1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u + 6. Suppose 2*g + v = -1, 5*g - 4 = 2*v + 16. Let o(f) = -f**g - 793 + 793. Give s(o(r)).\nAnswer: r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-8)*y*y*y)\/y)\/(y*y**(-5)*y*y))\/(y**(-10)*y)**(1\/5) assuming y is positive.\nAnswer: y**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from jjllfjkklkkfjjljfj?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -134*t - 9765. Calculate b(-73).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/1)\/(3648\/(-9728)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -196 * 0.22.\nAnswer: -43.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/150 and -31\/7875.\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 + -19. Suppose 8 - 20 = -4*a. Solve -2*s + 4*t = -20, a*s - 17 = t - p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*g + 7*g + g**5 - 19*g + g**5 wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 + 41.3. Let j = 7.3 - y. Which is the third smallest value?  (a) -8  (b) j  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 17 - 4)*(4 + 2 - 2)*(2*k - 2*k + 2*k**3) + 17*k**3 + 11*k**3 - 2*k**3.\nAnswer: 138*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*x + 18*x + 10*x + 3*x to w + i*x and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/11)\/z)\/z*z**(5\/7))**(-15)\/(z**2\/(z*z**(4\/9))*(((z**(-1)\/z)\/z)\/z)**(-2\/111)) assuming z is positive.\nAnswer: z**(408482\/25641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 572 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, 52, 262, 692, 1414?\nAnswer: 2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 8.974, 6, 38, -3, -1, -3\/4, 4 in increasing order.\nAnswer: -3, -1, -3\/4, 4, 6, 8.974, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 117 - 111. Suppose h*p + 0*p - 1896 = 0. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5918?\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -14927 (base 11) in base 3?\nAnswer: -1001220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 0 - 30881*a + 28240*a + 1 to the form g*a + j and give g.\nAnswer: -2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*o**2*s - 892*o**2 + 2*o*s + 5320*s wrt o.\nAnswer: 8*o*s - 1784*o + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8119, 8255, 8391, 8527, 8663?\nAnswer: 8799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -5*y + 2*p + 25, -5*p - 13 = 4*y. Suppose 25*j = 17*j - 360. Let s = j + 46. What is the greatest common divisor of s and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*h**2 - 27 + 27 - 8*h**2 + 4*h**2 + 88*h - 84.\nAnswer: -4*(h - 21)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 377*m + 548. List the prime factors of t(12).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50 divided by 45338.\nAnswer: -25\/22669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189 + 189 - 563 + 185 - 12*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 159 - 159.1. Let q = -5.3 - -5. Let b = q - -4.3. What is the nearest to i in -2\/9, 3, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 + 64. Suppose 4*w - 6*p + v = -2*p, -4*p + 10 = w. Is 18 a factor of 106\/6 + w\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 20*f + 28. Let r be d(-1). Suppose 0 = h - 5*w - r - 5, -89 = -3*h + 5*w. Solve -h*j = -37*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 2:01 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16847*h - 16807*h - 188 - 1212 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4346926 or 4346927?\nAnswer: 4346926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 24 - 126. Let s = r + -15. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 24*r + 480. What is i(-14)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 - 13*p + 14. Let b be s(12). Suppose 1 - b = -x. Let a be (x + (-52)\/53)*2. Is 1 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b - 2. Let q be g(-4). Suppose 0*w + 2*w + q*n = 0, -4*n - 6 = w. Suppose 2*u = -2*y + 314, 0 = w*u + y - 314 - 4. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.985 to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 19*j**4\/2 + j**2\/2 - 118*j + 101. Find the second derivative of l(o) wrt o.\nAnswer: 228*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61 divided by -3\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 8:24 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 124 divided by 9?\nAnswer: 124\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c\/(c*c\/(c*c*c\/(c*c**(-13)\/c*c)*c)))\/c))\/c**(-2)*((c**(-3)*c)\/c*c*c)**2)**(-4\/11) assuming c is positive.\nAnswer: c**(52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 285?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -50730.893 to the nearest 100.\nAnswer: -50700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r**3 + r + 1. Let b(n) = -9*n**3 + n**2 - 4*n - 29. Determine 2*b(j) + 8*s(j).\nAnswer: 6*j**3 + 2*j**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1123200441 (base 6) to base 11.\nAnswer: 704a066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308*f - 3 + 60 = 327*f. Let i = -926\/1145 - -2\/229. Which is the nearest to 0.1?  (a) f  (b) 2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2cfbc - b?\nAnswer: 2cfb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137401?\nAnswer: 11, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88536, -88669, -88802, -88935, -89068?\nAnswer: -89201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 11:31 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: a48 (base 15) to base 9\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -12*a**2 + 14*a - 48. Calculate y(6).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1141 + 14041220?\nAnswer: 14042411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 90905289 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 27. Let c = -20 - u. Let v(r) = 4*r**3 + r**2 - 1. Let m be v(1). Sort m, -1, c in increasing order.\nAnswer: c, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 3*f + 34, f = -122*g + 126*g - 30. Solve 15 = -5*i + 3*z - 14, 4*i = -3*z - g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/14 - (-4)\/6. Let i = 16 - 16.12. Let a = -0.42 - i. Sort j, -4, a.\nAnswer: -4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34863025411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 584 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.9477383 centimeters?\nAnswer: 9477383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -29, -61, -127, -239, -409, -649?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 271 - 171. Let p = 2 + 38. What is the highest common divisor of p and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -134 divided by -47447?\nAnswer: 134\/47447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/21)*y**(-11))**27)**(1\/35) assuming y is positive.\nAnswer: y**(-2061\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 111050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(115\/(-10) + 11). Sort -2, -18, g, 4 in ascending order.\nAnswer: -18, -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rlr when three letters picked without replacement from zlsrrrlre.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2 + 3*c + 1. Let i(j) = -2*j**2 - 2*j - 1. Let m(b) = -4*i(b) - 3*o(b). Let h = -407 - -409. Determine m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 0*c = 8. Suppose -4*b - b = 0, h - c*b - 81 = 0. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/2, 0.01, 0, 1\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*k + 6*k. Calculate the least common multiple of (-1)\/(-3) + (205\/(-3))\/k and (-2 + 22)*1\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14.8 and -0.58.\nAnswer: 8.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -443 and -58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 2 = -l. Let f = -5 - l. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 127624 and 8533.\nAnswer: 2935352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 8*p + 12. Let w be r(-5). Let c = 0.6 - 0.1. What is the second smallest value in w, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.041577 and -0.034.\nAnswer: 0.001413618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 200423 - -2?\nAnswer: 200430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (2 - 11 - (6 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 + -31. Sort -4\/7, -0.1, q in descending order.\nAnswer: q, -0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and -115539859335.88.\nAnswer: -115539859338.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46 - -46.109. Let s = x - 0.10897656. Round s to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4 = -3*l + 2*t, 3*t = 5*l. Suppose 18*u = 12 + 42. Solve 18 = -l*i - u*f, -12 = 3*f + f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 6744015.\nAnswer: 1\/2248005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -l - 7*l**2 - 60 + l + 67 wrt l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - h - 6. Let y be l(0). Let a be (-8)\/y*(-6)\/4. Let x be 1\/(2*a\/12). Which is smaller: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 456377, 1825512, 4107405, 7302056?\nAnswer: 11409465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -h + 56. Suppose -3*m + m + h = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/40 and -15\/508?\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -785 = -4*x - 849 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52936962 or -52936961?\nAnswer: -52936962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 3*o = 1497, 4*i - 16*o = -11*o + 3049. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83, 186, 311, 458, 627, 818, 1031?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 - 23*k + 12. Let h be r(9). Let j = h - -33. What is the tens digit of 100 + 1 + j\/(-4) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, 53, 1\/7, 0.5 in decreasing order.\nAnswer: 53, 3, 0.5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**4\/11 + 328*w**3\/11 + 146*w**2 + 232*w + 1272\/11 = 0. What is w?\nAnswer: -159, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2066 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 26 = -x + 151*h - 152*h, 5*x + 34 = h for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79900 is divided by 4456?\nAnswer: 4148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -155 + 141 + 5 + -82.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, x: 2, f: 1, v: 4, j: 1}. Give prob of sequence lxvf.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 10:13 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -105 (base 6) to base 7.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v. Let t(m) be the third derivative of 5*m**4\/6 - 67*m**2. What is t(o(b))?\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38296, 76589, 114882, 153175?\nAnswer: 191468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4893*m*x**2 - 6*x**2 - 260*x + 1 wrt m.\nAnswer: -4893*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 2 = 3*n, 0 = 263*n - 262*n + 4*k - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 7:25 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 138\/4*(18 + -14). Let j = 146 - f. Calculate the remainder when 134 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/7  (b) 0.2  (c) -0.3  (d) 20523  (e) -0.1  (f) 4\/11  (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -3*p. Let j be x(-1). Suppose 5*o - j = q, -1 = 4*o - 5. Solve 2*n = 2*l - 4, 2*l - 5*n = -l + q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 equal to 18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of -19\/3*k**3 - 49\/30*k**5 - 3 + 7*k**2 + 0*k + 0*k**4. What is the derivative of i(n) wrt n?\nAnswer: -196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: In base 2, what is -101011010011100101100 - 11?\nAnswer: -101011010011100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g + 238 = -218. Let p be (2\/(-7))\/(g\/42). Suppose -p*a**2 + 0*a + 0 = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2  (b) 14678  (c) 0.4  (d) -2\/29  (e) -5  (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 3853*l - 3801*l - 9 + 18 - 7922*l)*(-3*l + 5*l - l).\nAnswer: -15576*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1381 divide 60573422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2894446345 to the power of 1\/2, to the nearest integer?\nAnswer: 53800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 25421 - 1?\nAnswer: 25420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 156217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/3 + -9 - -5. What is the nearest to -2 in 1, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 2*m - 1088, m = -26*z + 29*z + 817. Let b = z + 298. What is the remainder when 72 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 21 = 3*a. Suppose -3*i + 2*i = 0. Solve -2*u - 5 - a = i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 4*t**2 - 2*t - 6. Let i be f(-4). Let u be -9*(-2)\/3 - i. Let a = 4 - u. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 0 + (2 - 0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3 - l**2 - 7 - 17*l - 5 - 1. Let j be g(-12). Calculate the remainder when (j\/(-10))\/(5\/(-25)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/945602 and -103\/98.\nAnswer: 945602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1035 divided by 115?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2264*h + 6200 = -2016*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 146613 times -0.015\nAnswer: -2199.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - w + 9 = 0. Let h be (-6)\/18*w\/5. Put h, 2\/9, 0.3 in increasing order.\nAnswer: h, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54590 is divided by 5455?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**2 - 5. What is q(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 619753 to the power of 1\/2, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4156*h = 3999*h + 3768 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*a**2*w**4 - 20*a**2*w**3 - 4*a**2*w**2 + 55*a**2*w - 4*w**4 wrt w.\nAnswer: -48*a**2*w - 120*a**2 - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does -3085 = -3086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1460752, -2921507, -4382262, -5843017?\nAnswer: -7303772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of b**3\/2 - 93*b**2\/2 + 2883*b\/2 + 57. Factor x(i).\nAnswer: 3*(i - 31)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 158*d**4 - 6*d**2 + 0*d**2 + 525*d**3 - 75*d - 408*d**4 - 8*d**2 + 4*d**2 - 10 = 0.\nAnswer: -1\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110000 - 12000?\nAnswer: -1122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-8) + 126\/8. Let q = 9 + l. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 3*a**5 - 339*a**4 + 12990*a**3 - 176934*a**2 + 316239*a - 151959 = 0?\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6328656 divided by -4?\nAnswer: 1582164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 3 = -0*n + 3*n, n + 1 = -2*c. Let r be -3 + 1 - (-3 - (n - -59)). Let b = r - 27. What is the remainder when 62 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28) + sqrt(448) + -1*sqrt(448))\/(sqrt(4) + (1*sqrt(4)*1 - sqrt(4))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 27 = -5*j, -p = 2*j - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o. Let a(v) = -253*v + 55. Let y(i) = -14*i + 3. Let b(q) = 3*a(q) - 55*y(q). Determine b(f(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/5 - 93*o**2\/5 + o\/5 + 93\/5.\nAnswer: -(o - 1)*(o + 1)*(o + 93)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*1.7.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a\/(a\/(a\/(a**(-1\/3)\/a))))))**(2\/7)\/(a*a*a**(-2\/3)\/a)**9)**(-2\/67) assuming a is positive.\nAnswer: a**(14\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g**2 + g - 2. Let u(a) = -27*a**2 - 6*a + 148. Let x(b) = 5*b**2 + b - 27. Let m(l) = 2*u(l) + 11*x(l). Give -m(f) + r(f).\nAnswer: -4*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*a + 4. Let j = -6 + 9. Solve -2*b - 2*h = a, -j*h + h = -b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((3 + -13)\/2)\/(-1). Let z be (-5 - -4) + d + -2. What is the third derivative of -13 + 13 + 2*w**z + 0*w**4 - 9*w**4 wrt w?\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*f + 10 = 0. List the prime factors of 12*(-20)\/(-8) + f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -78*r**3 + 26*r**2 - 36*r + 14. What is d(2)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does -4525 = -4594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 55, -3\/2, 3, 2 in descending order.\nAnswer: 55, 3, 2, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 514630408.\nAnswer: 2, 7757, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31365\/842 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(891)*-1)**2 + (4*(sqrt(77) - ((sqrt(77)*5 - sqrt(77) - sqrt(77)) + sqrt(77))) + sqrt(77))\/sqrt(7).\nAnswer: -11*sqrt(11) + 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26.94297 * 99.\nAnswer: 2667.35403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + 0 + -6*(sqrt(704) - (sqrt(704) + (0 + sqrt(704) - sqrt(704)))))*4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -27*i**4\/2 - 561*i**3 - 1697*i**2\/2 - 341*i - 40 = 0.\nAnswer: -40, -1, -1\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of 0 - 1\/3*c**3 + 0*c**2 - 8*c. Let p(u) = 3*u - 6. Let z(m) = 4*m - 5. Let i(b) = 5*p(b) - 6*z(b). What is j(i(x))?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o - 20*o - 9 - o + 10*o. What are the prime factors of t(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 127785 and 1155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.86580305 to 2 dps.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - -90. Suppose 4*s = -0*j - 5*j + 197, 2*j + u = 2*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31*r**4 + 40*r**4 + 0 + 3)*(3 + 0 - 2).\nAnswer: 9*r**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 5*s**2 - 9*s. Let w be j(2). Put w, -17, 2\/11, -2 in increasing order.\nAnswer: -17, -2, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60, 123, 186, 249, 312?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by (44\/(-14))\/(4\/(-28))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8 - (9 - (-5 - -10)). Sort 5, 0, l in descending order.\nAnswer: 5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -944?  (a) 0  (b) 3  (c) -0.0393  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 1:06 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i - 2*i**3 - 20089 + 71688 - 3*i.\nAnswer: -2*i**3 - 2*i + 51599","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -957 + 4778\/5. Let p = -0.4 - -0.3. Which is the smallest value?  (a) 3\/5  (b) h  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3936338 is divided by 145786?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1521, 3048, 4575?\n\"Answer: 1527*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of 17*d**5\/10 + d**4\/4 + 2*d**3\/3 - 2*d - 2. Find the third derivative of t(u) wrt u.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70559.\nAnswer: 37, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 34258 - 0.1?\nAnswer: 34257.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 169*w**2 - 7*w + 12. Let g be v(3). Suppose 18*z = 24*z - g. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 - 9*z - 6. Let t be i(-8). Suppose -4*g + 2*f = -34, -t*g + 4*f + 2 = -5*g. Suppose g = 3*b + 3, -119 = -4*c - 3*b. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1464*f**2*v*w - f**2*w**2 - 2*v*w**2 - 170*w**2 + w wrt v?\nAnswer: -1464*f**2*w - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/502810 and -64\/30415?\nAnswer: 39721990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12621 + (-17)\/((-34)\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - v. Let o be z(5). Let w = -25 - o. Suppose -5*m + w*c + 75 = 0, 3*m - 2*c = 7*m - 42. Solve -2*i + m = 2*u, i + 2*i - 4*u + 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 155.78 * 141\nAnswer: 21964.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 3*s**2 + 2*s + 723. What is the hundreds digit of a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 5*b**2 - b - 1. Suppose -10 + 0 = 2*l. Let g be d(l). Suppose 3*n + g*p - 2*p = 70, 4 = -4*p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 k when four letters picked without replacement from {k: 8, e: 6, o: 1}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -h**8\/168 + 7*h**6\/15 + h**4\/12 + h**3\/3 + 321*h**2 + h. Find the second derivative of y(w) wrt w.\nAnswer: -40*w**3 + 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a. Suppose -48*i = -40*i - 24. Suppose 3*p - 11 = 1. Let f(d) = -6*d. Let b(o) = i*f(o) + p*n(o). Calculate b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s**2 + 10*s - 5. Let f(g) = 2*g**2 - 9*g + 6. Suppose 5*a + 54 = 29. What is a*f(m) - 6*k(m)?\nAnswer: 2*m**2 - 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -6*k - 967 + 1149, k - 49 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -264, -269, -284, -315, -368, -449, -564?\n\"Answer: -z**3 + z**2 - z - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, -609, -1, -2, 6.\nAnswer: -609, -2, -1, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/3  (b) 2  (c) 3\/9652\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/38 and -139\/1254.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 1828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 426 and 260616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 5*p + 4. Find the second derivative of 2*r + 0*r - 7*r**3 + 3*r**p wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628512028 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5 + 1 - 13*a + 19*a**2 + 18*a**2 - 30*a**2. Let x(r) = r**2 - 2*r + 1. Let y = 18 + -12. Let b(i) = y*o(i) - 39*x(i). Factor b(s).\nAnswer: 3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*l**2*m**3 + 361*l**2*m + 2*l**2 - 8*l + 5*m**3 wrt m.\nAnswer: -108*l**2*m + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -31 + 24b7?\nAnswer: 2486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -33676, -67380, -101170, -135046, -169008?\n\"Answer: -43*b**2 - 33575*b - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*r = -17*r + 4*q - 8154, -5*q + 13585 = 5*r. What are the prime factors of r?\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40404 and 2184?\nAnswer: 80808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 243433*q**3*v**2 - 605*q**2*v**2 - 99*v**2 wrt q.\nAnswer: 1460598*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of -o**4\/24 - 7*o**3\/6 - 22*o**2. What is s(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.48505 from 21917617.\nAnswer: 21917614.51495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*c - 8, 2 + 7 = 5*x - c. Suppose 3*t = 6, -2*y + 5*t = x*y - 362. Suppose b = -k + 134 - 38, 2*b + y = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 79820*l**3*t - 26507*l**2 - 2*l*t - l wrt l?\nAnswer: 478920*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011000 - 1001?\nAnswer: -10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 56629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-10) - -51*1\/15. What is the third derivative of -x**4 + 28*x**3 - 68*x**j - 6 + 15*x**3 - 2*x**2 wrt x?\nAnswer: -24*x - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2122213112 (base 4) to base 13.\nAnswer: 192347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -6.3, -2, 2, 710.96?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*s + 140*s = -182*s + 20736 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15008986 to the nearest integer?\nAnswer: 3874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -281, -633, -985, -1337, -1689?\n\"Answer: -352*t + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1c0 (base 16) to base 12\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4, 6 = -2*p + p + y. Let f(b) = -b**3 - b**2 - 20. Let x be f(p). What is the highest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -11*d - 114. Let v be h(-39). Let c = 568 - v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(128) - sqrt(128)) + 0)**2 + (sqrt(128) + -1 + 1)**2.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1326105 (base 8) in base 13?\nAnswer: 1002b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.68186 micrograms in kilograms?\nAnswer: 0.00000005668186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of d**7\/1680 - d**6\/160 - 17*d**4\/24 - 13*d**2. Let o(p) be the second derivative of y(p). Solve o(l) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25003224\/5 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -6. Suppose 3*l + l + y - 43 = s, 3 = -3*y. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (39 + (-15 - -12)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 + 1523 = -55*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -4*l + 6*p + 3, 0 = 4*l - 2*p - 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*z - 22972, 3*z - 12154 = -3*n + 5057. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + 48327.789489.\nAnswer: 48330.789489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-8)*(52 + 0). Let z be 27\/(-45) - s\/10. Suppose z*v - 64 = -0*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -8. Suppose b = 4*i - 4*p - 13 - 11, 2*i - 3*p - 16 = 0. Solve 15 = -i*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 24\/(4 + 0)*20\/(-3). Let j = 36 + i. Let o be 1\/j - (-3)\/6. Which is the third biggest value?  (a) -0.5  (b) 6  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 5566139.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 5 - (85 + -86)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32892*r**4 + r**2 - 14*r + 268.\nAnswer: -789408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 + 5 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/308250 and 23\/2808500.\nAnswer: 25276500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -886?  (a) 0  (b) -2\/25  (c) -3  (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1035)\/(-25599)*159)\/((27\/(-42))\/3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 2. Let t be ((-1)\/1 - z) + 1. Are t and 2\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((3 + -2)\/((-14)\/(-212)))\/(-237 - (-270091)\/1141)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 57 + 13. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/3, 2, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, m: 1, f: 2, p: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3139, -4246, -6089, -8668, -11983, -16034?\nAnswer: -20821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/1)\/(2\/10). Let f(j) = -36*j**2 + 35*j**2 + 6*j**3 + 74*j**3 + 1. Let q be f(1). What is the highest common factor of q and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**2 + c. Let s be a(0). Let t(f) be the second derivative of -f**3\/6 - f**2\/2 + f. Let u be t(-3). Solve -8 = -u*v - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 882506953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1746.1201 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 159*t**2 + 18. Let k be p(-6). List the prime factors of k\/30 + (-6)\/(-10) + -1.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5 - 849*h - 7956*h**2 + 7954*h**2 - 9*h**3 + 860*h. Let j(l) = -4*l**3 - l**2 + 5*l + 3. What is 3*i(b) - 7*j(b)?\nAnswer: b**3 + b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 61, 4, 2 in decreasing order.\nAnswer: 61, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8810313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11, 51, 113, 197, 303, 431?\n\"Answer: 11*s**2 + 7*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/3 or -167801?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -30\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3050*i + 879*i + 427*i to the form b + g*i and give g.\nAnswer: -1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 18065461 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 5*f**2 + f - 6. Let o be d(5). Let v(s) = 14*s + 1. Let g be v(o). Let j = g - -15. Solve 0 = -2*a - j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.395 * -1.\nAnswer: 6.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 AM and 1:04 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -221981 by -1.\nAnswer: 221981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (-36 - -31)) + (6 + -51 - (0 - -2)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 5*i**5\/2 + 156*i**4 - 6988*i**3 + 70305*i**2 - 262125*i\/2 - 64125 = 0.\nAnswer: -95, -2\/5, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of -3\/4*q**4 + 0*q**3 + 0*q**2 - 3 - 5*q. What is the derivative of w(u) wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 13*y - 34. Let s be p(15). What are the prime factors of (318\/s)\/(8\/(-16))?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*g + 20 = -37*g. Let z(h) = -h**2 + 4*h + 16. Let m be z(g). Solve c - 5*p = 18, -2*c + m*c - 12 = 2*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1040 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142*p - 262*p - 135*p + 250800 = 31*p. Suppose 3*g = 206 + 127. What is the remainder when p is divided by g?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2 + 2*r - 1 + 0 + 2. What is the units digit of b(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 9:20 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*q = 44*q - 11040. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36 - -17) + 28 - (21 - 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bkjuncknbkjuuujb. Give prob of picking 1 b, 1 j, 1 u, and 1 k.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/3 + 1323794*n\/3 + 1323788.\nAnswer: 2*(n + 3)*(n + 661894)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142*z = -137*z - 315. Let y be -25*2\/((-8)\/(-4)). Let s = -4 - y. What is the greatest common divisor of s and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**5 - 5*m**5 + 0*m**5 + (1 + 2*m - 1)*(m**2 - m**2 - m**4).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 5*j = -14, -4*i = -2*i - 5*j + 6. Let a be (4250\/(-68))\/(26\/(-24) + 1). Suppose -2*v = -i*m + a, -3*m + 844 + 285 = -4*v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1952.8 - -2260. Let v = 307 - p. Which is the closest to -3?  (a) 1  (b) 0.5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -114, 2138, 4390, 6642, 8894, 11146?\n\"Answer: 2252*v - 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6249227\/689 + -9070. Do 1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 10*j**2 + 3*j - 4. Let f be o(-6). Suppose k - h = f - 51, 2*k + h = 586. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*y**3 + 4*y**3 - 5*y**3)*(-1 + 1 + y) + (-31*y**4 - 111 + 111)*(0 - 2 + 0) in the form k*y + o*y**3 + w*y**4 + d + b*y**2 and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 65?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -599, 9 in descending order.\nAnswer: 9, 1, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 15*f**2 + 18*f - 23. Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 121, -79, -2.\nAnswer: -79, -2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (21 + -37)) + -9 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f + f = 16 + 224, 16*f - 179 = 4*s + 128 + 157 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + 16*f + 17. Let h be r(-15). Let p(g) = 7*g - 2*g - 3*g - g**3 + g**2. Give p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 18*s**2 - 141*s - 19. Let y be i(8). Solve 0 = -y*m - 4*l - 41, 4*m - 5*l = -0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 60, 3, 5, 0.26, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 213138200.\nAnswer: 2, 5, 11, 19, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of 21*k**6\/10 - 131*k**3\/3 + 53*k**2. Find the first derivative of i(j) wrt j.\nAnswer: 756*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 27, 31, 35, 39, 43?\n\"Answer: 4*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 120508 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 808948229?\nAnswer: 79, 10239851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-2)*a*(a**(1\/4)\/a)\/a*a)**(-48)*(a**(-6)\/(a\/a**(-3\/4)*a*a))**(30\/13) assuming a is positive.\nAnswer: a**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 - 0. Let v be (244\/4)\/(3 - 1). Let n = v - 30. Is p < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z**2 - 259*z - 3624. Let o(h) = 36*h**2 + 1827*h + 25365. Let x(r) = 15*j(r) + 2*o(r). Solve x(t) = 0.\nAnswer: -55, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of 0*q + 3\/2*q**2 + 0*q**4 - 6 + 1\/3*q**3 - 1\/120*q**6 - 1\/30*q**5. Let u(x) be the second derivative of k(x). Calculate u(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -211*o - 8. Let p(v) = -637*v - 23. What is 17*a(l) - 6*p(l)?\nAnswer: 235*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*r**4 - 9*r**3 + r + 18*r**2 + 25*r**3 - 2 + 5*r**4 - 14*r**3 to the form b + o*r + l*r**2 + d*r**3 + n*r**4 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 0*i - 29 + 11\/2*i**2. Let h(g) = 10 + 3*g - 10. Determine b(h(q)).\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 395907564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, r: 3, a: 7, i: 3}. What is prob of picking 1 i and 1 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 23. Let f = -2.2 + 2. Which is the closest to 1?  (a) -1\/4  (b) s  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1825, -11684, -38365, -90280, -175841, -303460?\n\"Answer: -1402*l**3 + l**2 - 48*l - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -2*c**5\/15 - 5*c**4\/24 - c**3\/2 - 18*c**2 - 6*c. Let y(p) = p**2 + p + 1. Give -o(f) - 3*y(f).\nAnswer: 5*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*n**4 - 1046982*n**3 + 1199*n**2 - 650*n.\nAnswer: -72*n - 6281892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + 12 - -19 - 27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - -35. Let m = 11 - 9. Suppose 8*j - 32 = -m*w + 4*j, 2*j = 2*w - 8. Calculate the greatest common factor of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 5*f - 7*v, -4*v + 9 = 10463*f - 10466*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-6 - -6 - 18 - -6) - 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001338 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -150 - -146. Sort -14, -2, -3, a in descending order.\nAnswer: -2, -3, a, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -788b99 + -1?\nAnswer: -788b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n**2. Let a(m) = 51*m - 3. Give j(a(f)).\nAnswer: -5202*f**2 + 612*f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 376, 3499, -2 in decreasing order.\nAnswer: 3499, 376, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 55\/15 + (-4)\/6. Let m(k) = 5 + 24*k + 6 - 8. List the prime factors of m(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 87907075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (37\/22)\/(36\/432) - (-2)\/(-11). Solve i = 5*z - 5*n, n - 4*n = z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 240*d - 28. Let z(c) = -80*c + 9. Let w(a) = 3*h(a) + 10*z(a). Let q be w(-6). Suppose -7*o + 16*o - q = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -434 = 1967*c - 1905*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 + 7)\/((-4)\/354). Is r\/(1 - 5) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 15, 40, 85, 156?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1271416 + -10?\nAnswer: 1271406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3646 is divided by 61.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 4*p + 8. Let q be 3 + -1 + (p - -2). Let m = 5 - -5. What is the greatest common divisor of q and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**2*j + 2*b**2*r**3*x - 7*b**2*r**3 + 4*b**2*r**2 + 17*b*j*r**3 - b*j*r**2*x - 3*b*r*x + 4*j*r**2*x + j*x wrt r.\nAnswer: 12*b**2*x - 42*b**2 + 102*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4148998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 16 = -2*h + 3*h, -4*h = -4*k - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t - 5. Let z be p(-7). Let a(f) = f**3 - 17*f**2 + 15*f + 8. Let j be a(16). Calculate the remainder when (j\/z)\/(2\/87) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 55 + -50. Let l be q - ((-15)\/(-3) - 3). Solve -3 = -l*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -106, -427, -962, -1711?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -86 - -84.92. Let b = -1.13 - n. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2104*x = -2090*x - 84 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + x + 14, -3*c + 2*x + 13 = -6. Suppose -c*g + 50 = -2*g. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -1, 0, -3, 96 in descending order.\nAnswer: 96, 11, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*((-20)\/56)\/(-5)*(-21)\/72.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**3 - j**2 - 3. Let u(k) = -6*k**3 + 2*k**2 + k + 9. Let x(h) = 3*u(h) + 8*z(h). Let d be x(-2). Suppose -d*c = -79 - 181. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (0 - 3) - (2 - (-22 + 11)) - 77.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*c - 4*h = -204*c + 30, -5*c - 20 = -h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -b**2*q**2 - 36356*b**2 + 133704*q**2 wrt b.\nAnswer: -2*b*q**2 - 72712*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*o + 10 = 47*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.049 - -3.049. Let m = 0.1 + -0.3. Let t = -782\/5 + 157. Which is the nearest to q?  (a) t  (b) m  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5635526 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 6 - 4 = 0. Suppose -31 = -n*g - z, 3*g - 5*g + 4*z + 46 = 0. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r - 12*r**3 + 7*r - 6 + 19*r**2 + 8*r**3 + 7*r**3 - 3*r**2 to f*r**3 + t*r**2 + a + u*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2370485*g + 2370485*g + 16*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -442 + 351. Which is smaller: -86 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28195 + -1?\nAnswer: 28194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of -y**5\/60 - 5*y**4\/24 - y**3\/2 - 3*y**2. Let g be o(-4). Suppose 21 = p - 3*l, 4*p - l + g - 30 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 + 0 - 4)*(0*i + i**2 + 0*i) - i**2 - 2*i**2 + 2*i**2)*(-4*i**2 + 3*i**2 + 0*i**2) to the form f + b*i + d*i**4 + z*i**3 + n*i**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/132 + 3\/88. Let d(v) be the second derivative of 0 + 0*v**2 + r*v**4 + 2*v - 1\/6*v**3. Factor d(a).\nAnswer: a*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h**2 - 7*h + 4. Let f be q(6). Suppose 3*b - 2*a - 24 = a, 2*b + 5*a - 9 = 0. What is the highest common factor of b and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-31469)\/(3\/(-6) - 4\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 22. Let p = i - 11. Let h = -9 + 9. What is the third biggest value in h, p, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76061*t + 48 = -76045*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31906 - -31902. What is the second biggest value in c, -0.01, 0.5, -1\/3, 118?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*j**3 - 5*j**3 + 3*j**3)*(-j - 5 + 0 - 3) to w + u*j + o*j**3 + r*j**4 + a*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*x = 19*x + 19*x - 154396. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-1099086\nAnswer: 549543","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -20. Let z be 6\/((s\/5)\/2). Let o = 32 - z. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -5, 0 in ascending order.\nAnswer: -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3 + 178996*m**2 - 357998*m + 179000.\nAnswer: 2*(m - 1)**2*(m + 89500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 8*t**2 + 6. Let k(a) = 7*a**2 + 5. Let c(z) = -5*k(z) + 4*r(z). Let n(g) be the first derivative of c(g). Let v(x) = -x. Give v(n(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 75, -3, 5, 1 in decreasing order.\nAnswer: 75, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n + 35. Let b be t(-6). Suppose 2*h = -2*k + 3*k + 1, 2*k - 22 = -4*h. Sort k, b, 0.4 in ascending order.\nAnswer: 0.4, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((-2)\/(2 - 0) + (-30)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.3616 + 2.6384. What is the closest to s in -1\/3, -1.14, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24036 divided by 8012?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/2)\/1*0. Suppose 2*w + 3*w + 10 = m, 2*t + 70 = 5*w. Let q be t\/30*3\/1. Sort -5, q, 5 in descending order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -71 + 35 - 32*y + 6 + 30. Determine d(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 969 + 2787 = 4*f. Is 60 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -57*y - 20. Is 21 a factor of d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -8. Let s(p) = 33*p**z + 7*p**2 - 3*p**2 - 4*p**2. Let r be s(-3). What is the greatest common factor of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*y + 76*y = 12*y + 1077528. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(21)\/sqrt(3) - -2*sqrt(7)*4.\nAnswer: 5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -3*g + 3, 0 = 2*t - 4*g - 0*g + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16177157 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000173091 to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10488 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-45)\/(-6))\/5)\/(45\/(-60))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4987, 10020, 15101, 20230, 25407?\nAnswer: 30632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 3150244*f. Let k(r) = r**2. Give k(x(h)).\nAnswer: 9924037259536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 9*u**2 - u + 6. Is y(-4) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30471593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 6*m - 2. Let r(g) = 2*g - 1. What is -2*a(u) + 5*r(u)?\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -68*(-2912)\/24 + 3\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -48 + 24 + 14 + -11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-2\/7))**(-50))**9*(s\/(s\/s**(-3\/2)))\/s*s*s**1*(s**4\/s)\/s**(2\/9) assuming s is positive.\nAnswer: s**(-72613\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-15) - 39\/(-9). Let l(o) = 4 - 6 - 2*o - y. Let k be 1\/(-1*(-3)\/9). Let u(t) = -5*t - 17. Determine k*u(g) - 8*l(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.7793 + 0.84436. Round f to three decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*f**2 + 9*f**2 - 11*f**2)*(-4 - 1 + 4)*(23*f**2 - 15*f**2 - 11*f**2).\nAnswer: 60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-429)\/39)\/(11*(-21)\/1344)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 12984, -179, 4 in descending order.\nAnswer: 12984, 4, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d = 21*d + 12. Let k be 1\/d*(18 + -18). Solve -5*y = c + 2*c - 15, k = 5*y + 4*c - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 3*v + 325, 4*n - 457 = 4*v + 243. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -59, -71?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3959123 + 5264285. Let i = -3210604 + n. Suppose 0 = -3*b + 24312804 - i. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.197 + -14\nAnswer: -12.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 211206 + -14?\nAnswer: 211162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 329123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 2a?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3 + (sqrt(425)*2 + sqrt(425) + sqrt(425) - sqrt(425)) + -1)**2*-3.\nAnswer: -68922 - 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 122527, 244866, 367209, 489556, 611907, 734262, 856621?\n\"Answer: 2*k**2 + 122333*k + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -179623*i**4*j**3 + 152*j**3 + 276*j**2 wrt i?\nAnswer: -718492*i**3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100249 (base 11) to base 16.\nAnswer: -27642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20059 - 3905 = -6*h. List the prime factors of h.\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15704, -15710, -15720, -15734, -15752, -15774, -15800?\nAnswer: -15830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1248 divided by 6.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -12896*o + 322304. Calculate f(25).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -124, -220, -272, -256, -148, 76, 440?\n\"Answer: 4*v**3 - 2*v**2 - 118*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112 + 6*y**2 + 112.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1035 is divided by 162?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 33725311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5269, -5264, -5257, -5248?\nAnswer: -5237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -1\/6  (c) -31  (d) 3\/74  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1407968852 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20859692011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 10:06 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 4 in decreasing order.\nAnswer: 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 600 in descending order.\nAnswer: 600, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 396*y + 369*y - 151*y - 62*y + 69*y + 2*y**3.\nAnswer: 2*y**3 + 621*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 89*c**2*r**4 - 43*c**2*r - 157651*c**2 wrt r.\nAnswer: 356*c**2*r**3 - 43*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -26887, -26916, -26957, -27016, -27099, -27212, -27361, -27552?\n\"Answer: -t**3 - 22*t - 26864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 + -11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64155)\/1363 - (798\/203 + -4).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 9, t: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 110 - 104. Suppose 8*p = 14*p + l. Let z(k) = 5*k + 1. What is z(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (705342\/165)\/(1\/4 - 4\/80) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((40\/8)\/15)\/((-2)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/((-135)\/(-24))*102\/(-136). Suppose 0*m - 2\/3*m**4 + 2\/3*m**3 - g*m**5 + 2\/3*m**2 + 0 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 6. Suppose 118*l - 994 - 1012 = 0. Which is the closest to -1?  (a) -0.4  (b) l  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -118 + -2 + (2 - -3). Let g = 25 - d. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 4*g**4 - 3808*g**3 + 7604*g**2 - 3800*g = 0.\nAnswer: 0, 1, 950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4198 is divided by 1398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**2 - 31649*a - 348370. Give d(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.5 + -0.5. Let d = -891 - -899. Which is the second smallest value?  (a) d  (b) g  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 98\/147 + 4287\/(-6417). Let l = o + 5707\/2139. Factor -50\/3*m + 28*m**2 + l - 6*m**3.\nAnswer: -2*(m - 4)*(3*m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-93*3\/27 - -5)*9\/(-6). Solve 5*p + 19 = -3*s, 3*s = 7*s - i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 + 1 + 1 + 11 + (-46 - -25)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 94734 - 16827. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5 - 1) + 0 - -2) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 7*i**6\/2 + i**4\/3 + 929*i**2\/2 + 428*i. What is the first derivative of y(n) wrt n?\nAnswer: 420*n**3 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 + 28. Let k be (-8)\/(-3) - (110\/(-15) - l). Suppose -238 = -k*q + 329. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*q + 43*q = 90 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-3 - (-5 + -21) - (2 - -4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 549, 571, 591, 609, 625?\n\"Answer: -i**2 + 25*i + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 878768, 1757202, 2635304, 3513074, 4390512?\nAnswer: 5267618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2889311.7 months in centuries?\nAnswer: 2407.75975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5\/2 + 9\/4. Put -0.3, 2.4, g in decreasing order.\nAnswer: 2.4, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 + 20222211223?\nAnswer: 20222211302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17757 - 2234. What is the greatest common divisor of 43 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2124*p**4 - 2513*p**3 + 15918071*p**2.\nAnswer: -50976*p - 15078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 858422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2276485, 2276488, 2276501, 2276530, 2276581, 2276660?\nAnswer: 2276773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*g - 2232 - 2045 - 2094 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5682175 is divided by 33229.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q**2 - 6*q + 2 + 0 + 1 + 0*q**2. Let p be d(4). Let b(m) = -3*m + 2. Let z(s) = -16*s + 10. Give p*b(n) - 2*z(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + 3*z + 6. Let i be (-56)\/(-364) + 56\/(-26). Let j be s(i). Suppose 5*y + 3*r - 220 = 721, -772 = -4*y + j*r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zxs when three letters picked without replacement from ksxsxsszxsssu?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 59804914 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 643*w = 648*w - 40 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.76 + 0.66. Let v = 89\/135 - 7\/27. What is the closest to k in v, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 265549*u**2 + 837*u - 265551*u**2 - 133*u = 0?\nAnswer: 0, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 52, 82, 140, 232, 364, 542, 772?\n\"Answer: s**3 + 8*s**2 - s + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 213063777 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/9  (b) 4\/35  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**3\/3 - 20*g**2\/3 + 14*g = 0.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3141 and 1396?\nAnswer: 12564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + a = 6*a - 45, m = -5*a + 30. Suppose -3*v - m*f = -525, -3*v - v + 700 = -3*f. Calculate the greatest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3953\/1464 - 396\/61. Find the common denominator of -95\/22 and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + (-7 - 165\/(-39)). Let v = x + -14\/13. Which is the closest to 2?  (a) 4  (b) 0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1212031 - 410?\nAnswer: -1212441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80452.7*-0.03.\nAnswer: 2413.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*p = 4*n + 16, 4*p = -5*n + 97. Suppose 0 = 3*i + f - 1715, -476 - 85 = -i - 3*f. Calculate the remainder when i is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 453 and 92?\nAnswer: 41676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 4320067 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*a**3*g + 234*a**3 - a*g - 36723*g wrt a?\nAnswer: -18*a**2*g + 702*a**2 - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j - 11. Give d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 6:32 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1573)\/7865*(-410)\/(-2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 399 and 5171895?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141469319?\nAnswer: 141469319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -6*n - 38. Determine b(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2234, 4281, 6268, 8195, 10062, 11869?\n\"Answer: -30*o**2 + 2137*o + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 29*x. Suppose -3*d + 9 = 3. Let p(w) be the first derivative of -4*w**2 + 3*w**2 - 14 + 0*w**2 + 0*w**d. Determine p(v(u)).\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.13 - -0.01. Let j = g + -2.88. What is the biggest value in -5, 6, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -264 - -269. What is the biggest value in -2, 29, s?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*a - 78*a + 48*a + 4.\nAnswer: 12*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 4*f + 25. Suppose 2*r + 6 = -4*a + 3*r, -r = f*a + 3. Let j = 5 + a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -104, 260, 624?\n\"Answer: 364*p - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -171 + 260 + (-86 - -38).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -2. Suppose -k = -0*k - z. What is the highest common divisor of k and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.8, 7.4408, -8, -3?\nAnswer: 7.4408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2)*(1783*m**4 - 486*m**4 + 191*m**4 + m**3).\nAnswer: 2976*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -69, -165, -419, -909, -1713, -2909, -4575, -6789?\n\"Answer: -13*w**3 - w**2 - 2*w - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 140 and 19180.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/16)\/(-3)*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/6)*c*c*c*c**(-8))\/(c\/(c*((c**(-7)*c)\/c)\/c))**37)**(-6) assuming c is positive.\nAnswer: c**1807","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 60, 110, 160, 210?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 7. What is the tens digit of j + (3 - 19\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*b - 120*b = 125*b + 121*b + 9828 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -4\/5*q**5 - 1\/3*q**6 - 2 + 0*q**3 + 0*q**2 - 1\/2*q**4 + 0*q. Factor j(f).\nAnswer: -2*f**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 28*z - 283. Give r(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -67 + 69 - (-1 + 22).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(891) + 0)*-5.\nAnswer: -45*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1725 = -91759*c + 91834*c - 750 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**5\/20 + 5*w**4\/12 - 5*w**3\/6 + 5*w**2\/2 + w. Let i be n(4). Let h = 0.5 - 0. What is the third biggest value in h, i, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-2) - (9 - 7875\/14). Let v = t + -122. Is v a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-630)\/(-324) - (-6)\/(-4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*s**2 + 6*s**2 + 11 + 4*s - 15*s**2 - 12 to r*s**2 + g + j*s and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 + (6 - -41) + 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.3 and 34943182195.\nAnswer: 34943182195.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-12)*(0\/3)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -0.031?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/7 in -171, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 780*b - 779*b + 4*t, 3*t = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -81 + 83. Suppose 0 = -c*m + 97 - 89. Solve 4*j = -0*f + 2*f, -f = -m*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 - -60. Let f(t) = -t**2 + 11*t - 12. Let b be f(11). Let c = b + x. Calculate the highest common factor of c and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-117)\/26)\/((-144)\/800).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/71 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2276184 and 4552368.\nAnswer: 4552368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*p - 1004 = -44*p. Suppose -10*k + p + 748 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3543, 3547, 3551?\n\"Answer: 4*n + 3539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + n**2 + 12. Let m be c(0). Suppose -2*i + 0*i = -m. Solve 3*v = 5*v + i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190 = -18*m + 56*m. Let v be m\/20*-2*-74. Suppose -3*l = -102 - 12. Does l = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 4*o**2 - 3*o. Let h be s(-1). Sort 10, 8, h in decreasing order.\nAnswer: 10, 8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4063649 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 70.121*0.2\nAnswer: 14.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -63194*2\/(-96) - 2. Let l = a + -2621\/2. Calculate the common denominator of 119\/36 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 2*z**2 - 3*z - 3. Let c(q) = 5*q**3 - 11*q**2 + 16*q + 16. What is 11*b(l) + 2*c(l)?\nAnswer: -l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 145519 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 + 210\/(-28))*(-8 + 12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(231)*-1 - sqrt(231))\/sqrt(11))\/(2*sqrt(28)))**2*4.\nAnswer: 20*sqrt(3) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**6\/48 + s**5\/6 + 5*s**4\/16 + 32*s**2. What is o in t(o) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -b**5\/60 - b**4\/8 + b**3\/3 + 4*b**2. Let l be s(-2). Let a be (-30)\/l*(-12)\/15. Is 4 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.469 + 236.231. What is y rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49926002 smaller than 49926002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 2*h + 20. Factor 24*k**3 + k**5 - 6*k**5 + 16*k**2 + 0*k**h + 16*k**4 + 4*k + 9*k**5.\nAnswer: 4*k*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 2364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 9, x: 11}. Give prob of sequence txt.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -4.45. Let m = w - 0.05. What is the biggest value in -1, -1\/8, m?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -612. Let m(v) = -207. Let t(h) = 3*m(h) - u(h). Let q(i) = i - 27. What is -2*q(s) + 7*t(s)?\nAnswer: -2*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10153853 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: 0.115*-33\nAnswer: -3.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 18, 26, 32, 36, 38?\n\"Answer: -l**2 + 11*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -406*g**3 + 391?\nAnswer: -1218*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, 29327\/2, -10 in increasing order.\nAnswer: -10, 35, 29327\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*p - 43 - 113. What is the greatest common factor of 98 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 311*w - 314*w = -6. Suppose -3*f + 60*i - 65*i = -4400, 4 = -w*i. Is f a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -9*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 + 6*o**2 - 5*o + 9. Let z(x) = -3*x - 61. Let v(l) = -l**3 + 2*l**2 - l - 6. Let r be v(3). Let u be z(r). Give q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 5772707.\nAnswer: -2886353.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**3 + 70*n**2 - 9*n + 23. Let y be f(-35). Calculate the greatest common factor of 182 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2511 + 2511.4. Which is the second smallest value?  (a) 2  (b) g  (c) 13  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 125222 and 37338.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*u**2 + 15*u**2 + 14*u**2 - 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -4. Let x be (-2 - 396\/q)\/(-1). Is (x + 1 + -2)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -64\/13 + 18\/13*d**3 - 64\/13*d + 12\/13*d**2 = 0.\nAnswer: -4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-20)\/84*-13 + -3)\/(-2). Let u = -331\/3 + 110. Is v <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -270 divided by 78?\nAnswer: -45\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1284475692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 0.39056?\nAnswer: 0.156224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1366717351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5080 - 4980. Calculate the least common multiple of 200 and z.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (17\/34)\/(0 + 1\/4). Solve 0 = -l*v - 3 - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 - g**2 + g**2 + 0 + g**2 + 0 + (0 + 0 + 2*g**2)*(1 + 0 + 1) + 2*g**2 + 3*g**2 - 4*g**2)*(-221 + 221 + 180*g).\nAnswer: 900*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**4\/19 - 36*v**3\/19 + 42*v**2\/19 + 716*v\/19 - 720\/19 = 0.\nAnswer: -18, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9271512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + l = 287. Suppose -6*f = -4*y - 2*f + 8, 4*f = 8. Let h(q) = q**3 - 2*q**2 + 9. Let b be h(y). What is the highest common divisor of b and l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h - 12, -3*h = z - 2*h - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -2*r**2\/5 - 44*r\/5 - 42 = 0.\nAnswer: -15, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 3*o - h - 293, 3*h = -4*o + 242. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*-5*-3 - sqrt(931)*4)**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-1*(sqrt(204)*1*-3)\/(1*sqrt(300) - sqrt(12)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27930 and 14.\nAnswer: 27930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 7*c - 7. Suppose 5*s = -8 - 7. Let q be (-3 - 12)*1\/s. What is the units digit of n(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12255 = 5*r - 5*v, -r - r + 4*v + 4910 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9798 - 9772. Calculate the remainder when 698 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 109 - 121 - (-49)\/1. Solve 40*i + 3 = f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 16 = -4*x. Let a be ((-65)\/(-26))\/(1\/x). Suppose -a*u - p + 0*p + 500 = 0, -100 = -u + 3*p. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6*(-6)\/(-45)*5. Suppose 0 = a*t - 3*t - 60. What is the greatest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011221 (base 3) in base 4?\nAnswer: 210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r - 40*r + 510 = 2*r. Solve -r*b + 603 - 643 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of -2*d**3\/3 + 6. Factor x(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 2*h + 16, 2*h + 1 + 7 = 0. Suppose -3*i - o*i = -110. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 730081308 to the nearest integer?\nAnswer: 27020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (-1 + 0) - (577 + -593)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 364267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -157, -102, -11, 116, 279, 478, 713?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2\/7 + 72*h\/7 + 27.\nAnswer: 3*(h + 3)*(h + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -47, 14, 312, 4 in descending order.\nAnswer: 312, 14, 4, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1\/11694 + 175417\/81858. Let c(d) be the first derivative of 75\/7*d + 40 + 1\/7*d**3 + y*d**2. Factor c(n).\nAnswer: 3*(n + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -691*b**2 + 0*b**3 - 2*b**3 + 744*b**2 + (-b**3 + b**3 + 2*b**3)*(1 + 1 - 4) to the form h + a*b + q*b**3 + o*b**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2253473*l - 9013879. What is p(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 829*g**3 - 4160*g**3 + 827*g**3 + 831*g**3 + 832*g**3 + 833*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49760 or 49905?\nAnswer: 49760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19363981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8743882.9 + 289156\nAnswer: -8454726.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 450*a - 29787 - 15398 = -841*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-31)\/u)\/u)\/u)**(-5) assuming u is positive.\nAnswer: u**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (70\/(-56))\/(1\/(-2) - (-50)\/104). Solve -2*j + y - 67 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2, 605, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4969 and 4178929.\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 29, 34, 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 divided by 226267?\nAnswer: -9\/226267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 162 and 65988.\nAnswer: 197964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -323296748 and 552.\nAnswer: -323296196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from htffktkhff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5820736, 23282970, 52386694, 93131908?\n\"Answer: 5820745*k**2 - k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219224*a + 219159*a = -520 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -0.8. Let w = -8 + 4. Let l = 2.826 + 0.174. Which is the smallest value?  (a) w  (b) i  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - 0 - 7 - -6. What is the second derivative of 3*k**c + k + 6*k**3 - 2*k - 3*k**2 wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 7*f**2 + 4*f + 2. Let y(c) = 2*c + 17. Let p be y(-10). Let i(l) = l**2 - 4*l - 3. Let u be i(p). Let o = u - 12. Determine g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 (base 10) in base 5?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15035 in -3, -2, 0, 1497?\nAnswer: 1497","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 247480\/15*30\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1427 + -861. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 122559, 244994, 367429, 489864?\nAnswer: 612299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1571219.2 rounded to the nearest 10000?\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((4 + -1 + (-1*sqrt(605) - sqrt(605)))*-4)**2.\nAnswer: -10560*sqrt(5) + 194320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s - 150700151424 + 150700151424.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((972\/(-1872))\/(-27))\/(26\/(-8) - -3)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -16589442, -16589439, -16589436, -16589433?\n\"Answer: 3*f - 16589445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -605*k**2. Let g(n) be the second derivative of 55*n**4\/12 + 142*n - 27. Give 45*g(a) + 4*s(a).\nAnswer: 55*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 402561 divided by -3?\nAnswer: -134187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 - 8*i + 13. Determine t(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 287859 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1459, -4025, -8311, -14317, -22043?\nAnswer: -31489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 82778562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*s + 43 = 0, -4*p + s - 81 = -4*s. Let z = p + 169. Suppose 0 = -2*w + z - 44. List the prime factors of w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 10*j**2 + 24*j - 5. Let h be d(-14). Let g(x) = -222 + 2*x - 221 + h. Let i(u) = 2*u. Determine g(i(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - -1 - (-12)\/6. Put -2, -4, f in increasing order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/(-36)*9\/126.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.076 + -39.076. Let o = 13 + u. Let s = o - -26.1. What is the nearest to s in -1\/6, -3, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -4*v + 3*m, v - 5*m = 0. What is the least common multiple of 1\/((-5)\/(-70 + v)) and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*w**3 - w + 70*w**2 - 139*w**2 + 9*w**3 to r*w**3 + x*w**2 + y + j*w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2107, -4166, -6219, -8260, -10283?\n\"Answer: z**3 - 3*z**2 - 2057*z - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 1\/8, 26, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 14984*v - 2345. Is c(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (20 - 7) + 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -30 - (-1 - 15) - (0 + 14)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40003956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -72171 divided by 72171\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4\/39 - 136\/195. Suppose -39 = x - 40. What is the third smallest value in a, x, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 19*g. Let c(r) = -948*r. Calculate c(b(n)).\nAnswer: -18012*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9346, -9344, -9342?\n\"Answer: 2*i - 9348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2103*o**2 + 1903*o**2 - 5952*o**2 + 1951*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36341 - -36341.032318. What is d rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 183*l + 177*l + 5 - 24. Is v(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6888 is divided by 6800.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 7 + 14 + 5)*(-46*l**5 - 48*l**5 - 3*l**5).\nAnswer: -3880*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 4*b = 5*z + 2, -2*z + 3*b = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -4. Suppose m*d - d = 15. Find the third derivative of -d*q**2 - 3*q**6 - 3*q + q + 2*q wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 4*h = 31, 15*n - h = 516 - 565 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -2*t - 3*t + 940, 0 = -5*t + 4*s + 931. Let d = -264 + t. Let h = -25 - d. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328959671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -814158 by -3.\nAnswer: 271386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2252.451647 to 1 decimal place.\nAnswer: -2252.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/16)\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 134?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/4)\/t)**(6\/5))**6*((t\/t**(-1\/3))\/t**(-6))**(3\/20) assuming t is positive.\nAnswer: t**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14556478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 - 41*w**2 + 268*w - 127. Let m be k(33). Let y(p) = 2*p + 14. Determine y(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 7*k + 15. Let v(g) = -4*g - 7. Give 6*u(f) + 13*v(f).\nAnswer: -10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than 1.26185270380124?\nAnswer: -1.73814729619876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.8 - -214726578.\nAnswer: 214726578.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 2*x + 183, -2*x + 27 = w - 0*x. Let r = w + 58. What are the prime factors of r?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 - -12032230031?\nAnswer: 12032230202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74\/(-14) - (1 - (-12 - -18)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 882765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 9:27 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*j - 7*j + j**3 - 43*j**3.\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -25500606 divided by 69?\nAnswer: -369574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/3 + (-4)\/6. Let h = -14\/9 + 52\/45. Do x and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14 + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**3 - 7*r**2 - 4. Let j(b) = -9*b**3 + 36*b**2 + 21. Determine -4*j(w) - 21*l(w).\nAnswer: -6*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -1691*d**2 + 95*d + 95. Let n(m) = -2*m**2 - 22*m - 131. Let c be n(-9). Let q(l) = 36*l**2 - 2*l - 2. Determine c*q(a) - 2*k(a).\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1007\/2 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*g = 3*u - 12*g + 23*g + 168, 42 = -198*u + g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 12 = 5*m, -5*m + 15 + 9 = -g. Let d(a) = 8*a**2 - 4*a - 83. Let z be d(8). Let q = 419 - z. Calculate the remainder when q is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - 0. Let t(a) be the third derivative of a**6\/120 - a**5\/10 - a**4\/24 - 7*a**3\/6 + 34*a**2. Calculate the common denominator of t(b) and -36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t + 44. Let i be v(13). Suppose -5*d - 2*m = -557, 4*d - 359 = d + i*m. What are the prime factors of d?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 93420 - 14386577\/154. What is the common denominator of o and 2\/77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-32)\/3 - 114\/(-171))*(-18)\/4. Calculate the greatest common factor of o and 1089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8979 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -596*m**3 + 583*m**3 + 2*m - 2*m.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d583 (base 14) in base 8?\nAnswer: -222657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - q - 1636 = -0*q, 5*z - 1631 = -4*q. What are the prime factors of z?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1031828 to the power of 1\/2, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 12 = 4*u, -93*u = -96*u - 5*s + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**3*l**2*z**2 - a**3*l - a**2*l**2*z - 84*a**2*z**4 + 5*a*l**2*z - 13*l**2*z wrt z?\nAnswer: -4*a**3*l**2 - 1008*a**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of -d**5\/20 + d**4\/3 - d**3\/6 - d**2\/2 + 236*d. Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -15776*g + 110799. Determine d(7).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o**2 + 3*o + 5. Let y(x) = -66*x**2 + 4*x - 6 - 7*x + 147*x**2 - 85*x**2. Give 3*v(b) + 2*y(b).\nAnswer: b**2 + 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19801006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c = 8*c + 32. Suppose 0 = -4*f - 5*o + 1467, 3*o - 15 = -2*o. What is the remainder when f is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/3*-24 + 1. Factor 4*m**3 + 4*m + 17*m**2 + 16*m**2 - d*m**2.\nAnswer: 4*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.13215 and 13639.3?\nAnswer: 13639.43215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 344729?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3514 = 5*l - u, -2*u - u = -2*l + 1403. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10210 - 4651. Is (-8)\/5 + 2 - b\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -25*c - 52. Let q(a) = -21*a - 52. What is -4*p(z) + 3*q(z)?\nAnswer: 37*z + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 290, 1224, 2778, 4952, 7746?\n\"Answer: 310*b**2 + 4*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42587.\nAnswer: 37, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 + 20*p**2 - 21*p + 50. Let j be m(-21). What is the highest common divisor of 50 and j?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/2 + (2 - (-15)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 526583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 12) to base 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 22 + 16 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eleven fifths of a millennium?\nAnswer: 22","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 45*s. Let j(x) = 3*x - 6505*x**2 - 3*x - 5 + 6514*x**2. Give k(j(v)).\nAnswer: 405*v**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-1\/8)\/(j\/((j\/((j**(-5)\/j*j*j)\/j))\/j*j*j))*(j\/(j**(1\/14)\/j))\/j*j\/(j*j**(5\/8)) assuming j is positive.\nAnswer: j**(173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from xxrxxxxxyhrqhyqe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23.51 + 23.96262. Let y = b + -3.082874. Let r = 2.63 + y. Round r to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 10*w = 7*w - 159, 3*w = 2*m + 282. Let p = m - -197. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -64 and 438227.\nAnswer: -28046528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i - 7*i + 2*i**2 + 7*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (6*sqrt(12)\/sqrt(4) + (sqrt(6)*4)\/sqrt(2) - (-2 + sqrt(3) + 3 + sqrt(24)\/sqrt(392)))**2.\nAnswer: -124*sqrt(3)\/7 + 11728\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/11972 and -53\/1886?\nAnswer: 275356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 41408?\nAnswer: 41410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4121 (base 5) to base 15\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 14. Let m be l(0). Suppose 0 = -y + 47 - m. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4 - k**2 + 2 + 3 + 7*k. Let z be t(6). Suppose -2*w + 60 = 2*h, 0 = 2*h - z*h + 2*w + 150. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 2*u - 53 = 0, -41*u + 101 = -5*n - 44*u. Which is bigger: n or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - 0)\/((-3)\/6). Let y be 4 - (-1)\/(1\/1). Solve m - 3*a = t*m + y, -2*a + 6 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-1) + -3 + (-45)\/(-5). Suppose 5*y - o = -3*n + 5, y - 7 = n. Factor -3 + 87*c**3 + 5*c - 9*c**2 + y*c - 84*c**3.\nAnswer: 3*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39527212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 76.6 - 71. Let c = 0.6 - v. Let y = c - -6. Put 0.5, 4, y in descending order.\nAnswer: 4, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.025161894 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Factor -7*d**2 - 7*d**2 - 202 - 258 + 4*d + 540 + 2*d**3.\nAnswer: 2*(d - 5)*(d - 4)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -q**3\/2 - 2177*q**2\/2 - 591017*q - 2346684 = 0.\nAnswer: -1171, -1002, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -39592360 or -39592359?\nAnswer: -39592359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 50?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**4\/12 - 4*d**3\/3 + 10*d**2. List the prime factors of n(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -214, -429, -644?\n\"Answer: -215*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -473936.097 rounded to the nearest one thousand?\nAnswer: -474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -1\/180*w**6 - 1\/18*w**3 + 1\/72*w**4 - 1\/630*w**7 + 1\/1008*w**8 - 25 + 1\/90*w**5 + 0*w - w**2. Factor k(r).\nAnswer: (r - 1)**3*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.21 and 2221.98.\nAnswer: 2221.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 0.4325.\nAnswer: 0.4325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 5*d - 810, -3*j + 5*d + 486 = 3*d. List the prime factors of (8 - 3)*j\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -t - 16, 1899*h + 1893*h - 3*t = 5688*h - 1893*h + 36 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + -6)*((3 - 7) + 3). Suppose -d*y = -2*y - 15. Suppose 0 = -y*q + j - 3*j, -3*q + 5*j = 0. Solve q*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7455130 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -40833, -163347, -367531, -653379, -1020885, -1470043, -2000847?\n\"Answer: c**3 - 40841*c**2 + 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -529379694 - 8.\nAnswer: -529379702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 330253.8 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**2 - 55*p + 93. Let j(f) = -f**3 - 23*f**2 - 3*f - 98. Let r be j(-23). What is the remainder when 172 is divided by v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 2*c = 4, 3*h - 26*c - 18 = -23*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 326*a = 324*a + 34. What is the highest common divisor of a and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 + 0)*(-2 + 40 - 3)*(-4*z - z + 0*z).\nAnswer: -700*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8555*l*n*r + 13*l*n - 18*l*r + 578*l - 2*n*r - 42 wrt n.\nAnswer: -8555*l*r + 13*l - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1119 - 17*u - 16*u + 1118 - 8*u to i*u + z and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2 - 1 = 0. Let d be 2\/5*(n + 6). Suppose -p = 2*f - 11, d + 32 = 3*f - 2*p. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 5*h - 0 + 2, -3*h + 5*r = 18. Let s(q) = 28*q**2 - 2. What are the prime factors of s(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 5*b + 30 = 0. Let i be 7\/21*b\/1. Let g(c) be the third derivative of -c**4\/2 - 866*c**2. What is g(i)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3699318 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j + 19430 = 5*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 169 - 166. Suppose -7*p + 1076 = -k*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(385)\/(sqrt(7) + sqrt(7) + sqrt(35)\/sqrt(5))*4)\/(sqrt(320) - (sqrt(320) - 3*sqrt(320)*-6) - sqrt(320)))**2.\nAnswer: 11\/12996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-4)*8\/12. Let i = v + 13. Calculate the lowest common multiple of i and 26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*a - 29*a + 465. Let t = -88 + a. Suppose 5*m + 3*g - 959 = 0, -t*g + g = m - 202. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -179, -0.1, 0.2 in descending order.\nAnswer: 0.2, -0.1, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(-2\/5)*t)\/t*(t\/(t**(2\/23)*t*t))\/t)**(-22)*((t\/(t*(t*t\/t**(1\/9))\/t)*t)\/(t**(-10)\/t))**(-3\/2) assuming t is positive.\nAnswer: t**(-2054\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*r + 12052438 = -4525062. Round r to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 7. Which is the second smallest value?  (a) -0.4  (b) 0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 248 + -246.99. Let w = r - 1.009896. What is w rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of -i**6\/120 + i**5\/30 + i**4\/6 + i**3\/2 + 3*i**2 - 857*i. Determine b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7668881289*s**2 - 7668881250*s**2 + 2*s**3 + 3*s**3 - 6*s**3.\nAnswer: -s**3 + 39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 820019 or 819892?\nAnswer: 820019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -98, -157, -222, -293, -370?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.879 + 279.021. Round w to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6773.5289 and 3?\nAnswer: -20320.5867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 36*c - 26*c - 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 29, -163, -731, -1855, -3715, -6491, -10363, -15511?\n\"Answer: -30*l**3 - 8*l**2 + 42*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 12287995*d**2 + 5 + d**3 - 12287962*d**2.\nAnswer: d**3 + 33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 12, e: 6}. Give prob of sequence deed.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: a0274 (base 16) to base 12\nAnswer: 277758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59 - -99. Suppose -4*y + v = -w, y - w - 11 = 2. Calculate the highest common factor of y and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4764, -4763, -4760, -4755?\nAnswer: -4748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -395 - -790. Find the second derivative of 21*a + 29*a + z*a**2 - 346*a**2 wrt a.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**3 - 17040 - 3*r**3 + 4*r**3 + 17040.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -511.8484 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -651 + 198 + 234 + 202 - 3*n.\nAnswer: -3*n - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 4*l**2 + 8*l - 4. Let f be w(5). Let c = 11 - -15. Let s = -24 + c. Solve -2*d - 8 = 2*k, -s*k - f = k + 2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 1248*c**2 - 46*c - 2. Suppose 0 = -23*d + 33*d - 110. Let j be f(d). What is j rounded to the nearest one thousand?\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 82857188 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 16*j**2 - 17*j - 268. Let p be t(-16). Sort 2, p, 6, 9.\nAnswer: 2, p, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - t - 73. Suppose 0*m = -3*m - 9. Let b = 9 + m. Calculate the remainder when v(-9) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 5*z**2 - 4*z - 4. Let i be a(-5). Let y = i + -6. Let q = y - -19. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b + 15. What is k(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*d**3*f**4 + d**3*f + 2*d**3 + 51*d**2*f**2 + d*f**4 - 103*f**3 wrt f.\nAnswer: 120*d**3*f + 24*d*f - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1281323 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6, x: 2}. Give prob of sequence zz.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 + 3 + (12 + 3 - 8)*(4 - 3 - 3))*(6*o - 3*o + o) in the form l + c*o and give c.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 0)*(-834*x**3 - 2388*x**3 - 1145*x**3).\nAnswer: -8734*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 3*l - 504, -5*l - 5*s + s = -835. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44.46107517787 - 4.\nAnswer: -48.46107517787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.5, -26, -0.07, 0.4, -4\/9, -41.3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45 and 684840.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -398.09 + 398.024. What is the closest to -3 in b, -2\/11, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.9 times -0.5?\nAnswer: -26.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 + 15. Suppose 3*k + b = z, -30 = -5*k + b + 35. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-10) - 2) + 16*27\/2160.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 7*b + 256. Let w be i(-31). Suppose 0 = l + w - 327. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1279 not equal to -1275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02 + -0.22. Which is the third smallest value?  (a) i  (b) 0  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**4 - 709*z + 1 + 5*z**2 - z**3 - 3*z**2 + 709*z in the form g*z**4 + h + a*z**3 + x*z + f*z**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 2*p - 80. Suppose 0*y = 2*y - p. Suppose 32 = 4*r - y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3440 - -35668?\nAnswer: 40218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 752589 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*(-7)\/((-28)\/1828) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -3 + 212\/(5 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-13362)\/(-2751))\/((-8)\/(-14)))\/(1*-2).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -4*u**4 + 110764*u**3 - 8944296*u**2 - 37106480*u - 37549600 = 0.\nAnswer: -2, 85, 27610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13438.\nAnswer: 2, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -253, -291, -329, -367, -405, -443?\n\"Answer: -38*q - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1341322 (base 5) in base 12?\nAnswer: -14054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 - h - 1. Let d(o) = 8*o**2 + 5*o + 1. Let q(i) = 3*a(i) + d(i). Give q(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 5.7. Let x = j - -2. Let d = 0.2 + x. Which is the biggest value?  (a) d  (b) 0.4  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h**2 + 27*h + 16. What is d(19)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100000100 - 21?\nAnswer: 100000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(8\/(80\/10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l + 100. Suppose 3*x = -2*x - l. Let w = 0.6659 - 0.2659. Which is the third biggest value?  (a) 1\/14  (b) w  (c) x  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwsswwss. What is prob of sequence sss?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 55, 45, 21, -23, -93, -195?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**2 - 117854616*o + 3472427628126864 = 0?\nAnswer: 58927308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38881701 divided by -3.\nAnswer: -12960567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 714 + -1049. Let j = -723\/2 - b. What is the common denominator of 57\/4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276210 is divided by 889.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3955*n + 1239. List the prime factors of y(-3).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 266.\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1750*w**4 - 477755*w**3\/3 - 462455*w**2\/3 + 944560*w\/3 + 300 = 0.\nAnswer: -90, -2, -1\/1050, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -69 + 78. What is the remainder when 15 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 119 + -119. Suppose 14*m + 21 - 49 = h. What is the remainder when 12 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + r = -191, 5*n + 10*r - 8*r = 941. Calculate the highest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 PM and 4:07 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r - 642 - 157 = 0. Suppose 5 = -14*o + r. Solve 0 = -3*b - o*l - 21, -2*l = 2*b + 2*l + 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 157157 and 658?\nAnswer: 14772758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 5*i. Let s be b(4). Is ((-19)\/s)\/((-6)\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -275 - 13072578.\nAnswer: -13072853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 96 - 110. Let f = n + 15. Let y = f + -1.0024. Round y to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 116 = 16. Suppose -w + 16 = -2*o. Let d = o + 10. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/7)*q\/q**(4\/5))\/(q**(-2)\/q**(1\/3)))\/((q\/(q\/((q\/(q\/(q\/(q\/(q**(-7)*q)))))\/q*q)))\/(q**(-3\/8)\/q))**(-2\/157) assuming q is positive.\nAnswer: q**(153743\/65940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11\/2 - -7. Let m be (4\/18*1)\/1. Let w = 2.2 - 2. What is the nearest to w in 3, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/70*7)\/(3\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -3. Let i be 2\/o*(3 - -3). Solve -3*q + i - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 685?  (a) -0.4  (b) -0.0141  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -8 + (-4)\/(-12)*6. Is (2\/l)\/((-8)\/2232) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 665 divided by 19\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -32105025.1 times 0.3\nAnswer: -9631507.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9275 and 2208934.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*(-4)\/(4*-1). Suppose 2*j - 4*h = 786, -j + 151 = -h - 244. Suppose -x*q + j = -15. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g - 2*g + g)*(25*g - 3 + 3) as n*g**2 + k + m*g and give n.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*u + 8*u - 5*c - 18, 0 = -3*u - 2*c - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 58655.98ug?\nAnswer: 0.05865598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 573  (b) 7\/20  (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.9, 15.78, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(-5*2\/(-2) - 4). Suppose w = -2*x + 547 - 509. Solve -3*m = -l - 4 - 4, 0 = 5*m + 4*l - x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16873 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 94568227 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -3*j + 321, -5*j + 711 = -3*a + 174. What is the remainder when 199 is divided by j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7796105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25963262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -911 (base 10) in base 11?\nAnswer: -759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 215 and 300957.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5180 divided by 148?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmmh when four letters picked without replacement from hhhhmhhhmhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -828 = 33*k - 79*k. Calculate the highest common factor of 774 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74 and 4958.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1132 + -177?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*n - 0*n. Suppose -12 = -2*m + n*k, -4*m - 3 = 3*k + 1. Let j(a) = 9*a - 2. What is the units digit of j(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2365940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 1200718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -14, 1, 22, 49, 82, 121?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2. Suppose -32 + 3 = 5*j - 2*b, 8 = j - 5*b. Let k be (-4)\/(-7) + 4\/j. Let x(z) = z - 12 + 12 + k*z. Calculate o(x(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 1368 = 3*w - 1329, 72*j = -w - 225 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12.6 - 7.6. What is the third smallest value in -4, -3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-1 + (-63)\/(-66)). Let z = b - 2. Suppose 3*a = -5*u - 2*a - 25, 0 = 2*u + 4*a + z. Solve 0 = 2*l + 5*q - 11, -4*q + u = -4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -200, -7, -1 in decreasing order.\nAnswer: -1, -6, -7, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 10 = y. Suppose 2*f - 21 = -5*c, -f + 25 = y*f + c. What is the common denominator of 107\/12 and (-435)\/140 - 2\/f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, f: 2, i: 1, c: 1, y: 1}. What is prob of picking 1 y, 1 z, and 2 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 0*u**2 - 14*u + 4 - 16*u - u**2 + 17*u. Let r be j(-13). Solve -4*m + r = 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3955.06388 rounded to the nearest ten?\nAnswer: -3960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 212 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(21)\/sqrt(3)*2.\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((2*-1)\/(167\/4509))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5071782 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + r - 1 = 5, -4*x - r + 18 = 0. Suppose q - 2*f = 118, 0*f = -x*f - 8. What is the highest common factor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0\/n*n)**(-36)\/(n*n*n**(-1\/3)*n*n*n*n*n*n**(-11)\/n*n*n*n*n) assuming n is positive.\nAnswer: n**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*j - 5*j + 2*j**3)*(2*j - 3*j - 2*j) in the form f + a*j + v*j**2 + b*j**4 + s*j**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1808719 + -1283184. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by 16314?\nAnswer: 13\/16314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 72, 110, 148?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -2*a + 415841, -z = 4*a - 130647 - 701046. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4158 - -4169. Solve 7 - 2 = -2*f - 5*t, 0 = -3*f - 4*t - w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -41 + 0*d + 7\/4*d**4 + 0*d**2 + 6*d**3. What is the third derivative of v(i) wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9625793 grams in tonnes?\nAnswer: 0.0000009625793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*q + 1856 = 184*q + 78*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21.01043 - 0.01043. Which is the nearest to 37?  (a) l  (b) -1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u - 8. Let m be r(-12). Let h(a) = -6*a + 6. Let f be h(m). Let z be (24\/f)\/((-1)\/3). Solve -z = 3*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5 - 17 = 0. Let s(g) = -2*g - g - 5*g**2 - 3 - g**3 - 2. Give s(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b**3 + b**2 + b + 1. Suppose 0*d + d = 3. Suppose 0 = -d*g - g. Suppose -z - 1 + g = 0. What is i(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5654884 divided by -116?\nAnswer: -48749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 9236.799 to the nearest 10.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*f**2 + 17*f - 71?\nAnswer: 4*f + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2909?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 80\/(-6) + 3\/9. Let y be (-1 - k)\/3 + -1. Let f = -1.9 + 2. What is the second smallest value in f, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of u**3\/6 + 37*u**2\/2 + 480*u. Let y(w) = -5*w. Give q(y(d)).\nAnswer: -5*d + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1456056.\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20089\/6 - 3336. Calculate the common denominator of m and 35 + (-1)\/(-1 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28251355 is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.32 + 12.32. Let i = 21 - c. Let k be (-77)\/66*(-16)\/42. What is the nearest to 1 in k, -1, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18 * 0.0833.\nAnswer: 1.4994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 7*h**2 + 3*h + 1. Let g be k(-1). Let z(f) = 5*f**2 + f - 7. Is z(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2166.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1508644 = l - 3*l - 4*r, -5*l + 3771580 = -5*r. Let c = -832202 + 527884. Let h = l + c. Round h to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**3 - 65*k**2 - 199*k - 275. Calculate i(-29).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert c3b0 (base 14) to base 13.\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 108 + -24b9c?\nAnswer: -24a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -54, 4, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 4:56 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 7187859 divided by 16299\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/6*33\/1474. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + h + 3. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3099 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 58 = -3*q - 33, -2 = -2*w. Let a(k) = 2*k**2 + 62*k + 65. Let j be a(q). Solve 0 = -5*r + n + 4*n - j, -4*r - 4*n + 12 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u. Let s(g) = 7*g. Suppose -110 - 268 = -21*k. Let i(l) = k*m(l) + 2*s(l). Let q(h) be the third derivative of 11*h**5\/60 + h**2. Give i(q(r)).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 7*p = -180. What is the remainder when 76 is divided by (91\/(-35))\/(2\/p)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + -136?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -153 + 298 - 145 - 2*m. Let q(b) = -553*b**2. What is o(q(d))?\nAnswer: 1106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158935.\nAnswer: 5, 7, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 PM and 7:46 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -49. Suppose -b*d + 9 = -0. Suppose 2*z - 275 = -d*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*z**3 - 11*z**3 - 27*z**3)*(4 + 0 - z + 2*z + 5 - 5 - 2*z + (0*z + 3*z - 5*z)*(-1 - 1 - 1)).\nAnswer: -230*z**4 - 184*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -14*p**2. Let g be ((-40)\/(-15))\/(6\/(-9)). Let l(y) = -2*y**2 + 4*y - 4. Let a(u) = -2*u**2 + 5*u - 5. Let m(h) = g*a(h) + 5*l(h). What is m(c(o))?\nAnswer: -392*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7896 and 984744?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 335 = 3*d. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**2 + 3*f**2 - f**2)*(-2 - 2*f**2 - 5*f + 3 + 0).\nAnswer: 2*f**4 + 5*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 150429437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 20, 56, 132, 260?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-36)\/8 - (-475)\/330\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -99 + 126. Let y = p - 25. Factor 0*r + 2\/7*r**y - 2\/7.\nAnswer: 2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 0.1, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 42792 and -9.\nAnswer: -385128","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (-7860)\/(-984))*(-8 - 1 - -7).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-42)\/(0 - 12\/8). Let z = 32 - f. Suppose -u = z*u - 295. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 63*c + 231. What is the hundreds digit of j(69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-32 - 1)\/(15\/(-135)). Let z = 295 - h. Let x(y) = 2*y**3 + 3*y**2 + 3*y + 3. Give x(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 4*m**2 - 16*m + 384. Is w(19) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10617 is divided by 700.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 8793824*w**2. Let f(r) = r**2. What is f(b(q))?\nAnswer: 77331340542976*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/2)\/(s\/((s\/(s\/(s*(s**7\/s)\/s)))\/s)*s))**(-5\/2) assuming s is positive.\nAnswer: s**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + 0. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -391 - -228. Let p = h + 258. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1450511 (base 6) to base 8\nAnswer: 244713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2174?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 578479?\nAnswer: 11, 43, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-one fifths of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 60*l - 14158. What is w(236)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 8 + -7 - (-3 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2, 27, 90, 209, 402?\n\"Answer: 3*g**3 + g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 16 - 4. Suppose 9 = -j*c - 96. What is the units digit of (-7)\/(-14) - c\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -20*q**3 + 11*q**2. Let c(w) = -7*w**3 + 4*w**2. Let o(l) = -17*c(l) + 6*m(l). Factor o(v).\nAnswer: -v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g**3 + 43*g**4 - 4*g**3 + 2884*g - 2883*g + 566*g**4 to the form p + f*g**3 + y*g**4 + q*g + t*g**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 s when four letters picked without replacement from wswwwwwwwswsssww.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -521956214 and -0.80589?\nAnswer: 521956213.19411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*h - 894 + 5283 = 6865 + 23288 for h.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23552 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + 2*m + 0*m)*(3 + 3 - 7)*(-3 - 9 + 29) to x + r*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x - 2. Let g(s) = -3*s + 2. What is -4*g(b) - 5*i(b)?\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -21  (b) 44971  (c) -2  (d) -1  (e) -0.1  (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23854136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*h + 28*h + 6. What is the tens digit of ((-5943)\/35)\/(h\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -177b (base 13) to base 15\nAnswer: -1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than -2166.36477867?\nAnswer: -2166.56477867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4*p = 0. Let z(c) be the third derivative of 2*c**2 + 1\/24*c**4 + 0 + 0*c + p*c**3. Let y(r) = r**2. What is z(y(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 - -3. Let h = 22 - s. What is the greatest common factor of h and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, -0.4, 4947, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -27984554*m**3 - 28271453?\nAnswer: -83953662*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wnwk when four letters picked without replacement from {n: 4, y: 1, w: 6, l: 1, k: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2441432 (base 5) to base 12\nAnswer: -22aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.011, 2\/1475, -3392?\nAnswer: -3392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, q: 3, r: 3}. What is prob of sequence rqd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.41 + 0.38. Put -3\/7, v, 4 in descending order.\nAnswer: 4, v, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -9*s + 6. Let l(x) = 4*x - 3. Let z(g) = 5*l(g) + 2*n(g). Let a(d) be the first derivative of z(d). Let o(r) = r. What is a(i) - o(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -4. Suppose n = 4*f - 5*l, 3*l = -f - 4*f - 37. Do -5 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w + 1 - 3*w - 2*w)*(3 - 3 - 6).\nAnswer: 6*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 7*u**6\/15 + 51*u**5\/2 - 172*u**4\/7 + 148*u**3\/21 + 130*u + 1. Find m such that w(m) = 0.\nAnswer: -37, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**2 + 18*w + 7. Suppose 2*l = -3*l + 110. Suppose 5*p = 3*v - 61, 0*v + l = v - 2*p. Calculate the remainder when g(8) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q**3 - 53*q**2 + 25*q - 1654. Determine c(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -23.649, 1\/14 in ascending order.\nAnswer: -23.649, -0.4, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 9*c**2 - 3. Let h be m(-9). Find the common denominator of (h\/(-10))\/(84\/(-190)) and -77\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3546 at least 3137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27 and 3879.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 30, 11, -8?\n\"Answer: -19*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to 6\/20747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 67 - 65. Suppose -h*g + 670 = 8*g. Let j = g - 47. Solve 0 = 4*s + j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -5  (b) 1  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -380*n + 7390 + 3698 = -116*n for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 261.5, -0.4, 2\/3 in descending order.\nAnswer: 261.5, 2\/3, 2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by -44073.\nAnswer: 10\/44073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5575 + 44655\/8. What is the nearest to 0 in -2, -4, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o + 27. Calculate n(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 39.15 - 90.18. Let v = -50 - y. Let z = v + -1.0299949. Round z to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65689276 to the power of 1\/2, to the nearest integer?\nAnswer: 8105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -33 (base 4) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -2.597\nAnswer: -2.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 7*v - 7*v - 4. Let z(c) = c**2 - c - 5. Let r(g) = -4*g**2 + 3*g + 15. Let l(m) = -2*r(m) - 7*z(m). Give 3*d(b) + 2*l(b).\nAnswer: 2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163011 is divided by 54243.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 148, 0, 0.2 in decreasing order.\nAnswer: 148, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -16, 92\/5, 0.005?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 266420 and 83688?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 12:36 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -89 - 2447?\nAnswer: -2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhohhhhhhhhhhhhhhoh. Give prob of sequence hoo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3523370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.19 and -327.23.\nAnswer: 62.1737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 256, 388, 522, 658, 796?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1416 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4881845, 9763691, 14645537, 19527383, 24409229, 29291075?\nAnswer: 34172921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -277102, -4, 17 in decreasing order.\nAnswer: 17, -4, -277102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5*(4*(sqrt(65)\/sqrt(5) + -4) + sqrt(1872) + 2 + -4 + sqrt(52)\/sqrt(4)))**2.\nAnswer: -15980*sqrt(13) + 102761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2695.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 285749637 is divided by 4020?\nAnswer: 4017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + 4*k - 4. Let s(v) = -v - 60. Let j be s(-56). Let o(m) = -2*m + 0*m**3 - m**3 - 3*m + 5. Determine j*o(w) - 5*z(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*-6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 856776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -v**6\/30 - v**5\/10 - v**4\/8 - v**3 - 4*v**2. Let m be x(14). Round m to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of -g**3\/2 - 16*g. Let q(m) = 6*m. Determine t(q(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64 + (21 - -22) + 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -64.871 + -0.129. Let o = -64.9971 - y. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 + 0)*(-l - 2 - 13*l**2 + 2) to the form k*l + x + h*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -109\/33, 9, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 201476\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*d + 13441*d = 3 - 4 + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -575.03 - -575. Which is bigger: q or 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21 in 2\/5, 0.03, -0.04, 44, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/10974 and -3\/14?\nAnswer: 76818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/35)\/(6\/21*-6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 125727250 a multiple of 655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -115415 and 3.\nAnswer: -115412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28 in -0.5, 1\/2, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/11, -6, 0.2, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65*d**2 + 65*d**2 - 8*d**4)*((0*d + 5*d + d)*(5 + 28 - 9) - 3*d + d + d).\nAnswer: -1144*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*o + 46 - 32. Which is the third biggest value?  (a) -0.5  (b) 2\/9  (c) o  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 6 - -12 - 144\/75\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17*-3269847.\nAnswer: -55587399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30 + -61 - -37) + 26 + -82.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3591, -3028, -2087, -762, 953, 3064, 5577?\n\"Answer: d**3 + 183*d**2 + 7*d - 3782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 817 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1166 - 556. Calculate the smallest common multiple of 2 and v.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-334)\/835)\/((-387)\/860)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 54 - 294. What is the common denominator of 1066\/s - (-4)\/10 and 178\/4*1\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*d - 17*d + 11*d)*(8 + 0 - 2) as f*d + b and give f.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, a: 2}. Give prob of sequence aha.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 27\/12*(-20)\/(-30). Let -6*h**3 + 0*h + 0 + l*h**2 + 9\/2*h**4 = 0. What is h?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 + 1\/(1 - 2). Put 3, 2, b in descending order.\nAnswer: b, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 189846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 - 13*x**2 - 14*x - 16. What is the units digit of g(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 11, l: 2, r: 6}. Give prob of sequence rl.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74546.09cm to millimeters.\nAnswer: 745460.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1108520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 4\/7*r - 2\/7*r**5 + 6\/7*r**3 + 2\/7*r**4 - 10\/7*r**2 + 0 = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -732, -2, 0, 5 in descending order.\nAnswer: 5, 0, -2, -732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3198, 3207, 3204, 3183, 3138, 3063, 2952, 2799?\n\"Answer: -t**3 + 16*t + 3183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 255653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6336 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 124936 and 264592.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w - 9*w**2 + 195*w**3 + 46 + 9*w**2.\nAnswer: 195*w**3 - 2*w + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9361 + 402. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/489195 or -1?\nAnswer: 1\/489195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-2) - (-24)\/(-15). Let o = 0.01 + -2.01. Let l = o + 4. Which is the closest to l?  (a) k  (b) -4  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*-5*-1*sqrt(95))\/(-3*sqrt(180)*-2)*3)**2.\nAnswer: 475\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - n - 1078, 2*n + 543 + 181 = -2*o. Let w = o + 402. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 5:53 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -533.2 less than 1530?\nAnswer: 2063.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 269, 2\/3, -153, -1\/4 in ascending order.\nAnswer: -153, -1\/4, 2\/3, 2, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3 + 36*x**2 - 69*x + 34.\nAnswer: -(x - 34)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -282653 and -282493 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5470701?\nAnswer: 3, 1823567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 67584 and 143080960?\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -68, -31, 64, 247, 548, 997, 1624?\n\"Answer: 5*l**3 - l**2 + 5*l - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.018 + 0.482. Which is the second biggest value?  (a) 0.3  (b) 7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31 (base 8) to base 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 100804 and 12122.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 0) + -20 + (3 + 33 - 39)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -45\/8*g**2 - 1\/8*g**4 + 0 - 3\/2*g**3 - 25\/4*g = 0. Calculate g.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 2*t + 4. Let v be g(0). Solve v*f - 5*z = -33, f - z = z - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 4*i**2 - 2*i + 3. Let c be (-15)\/(-6)*-2*(6 + -5) - -1. Let m(w) = -2*w**3 - 5*w**2 - 3*w + 4. Calculate c*m(n) + 5*l(n).\nAnswer: 3*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*5\/((-40)\/66). What is the third smallest value in 2, 145, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -61, -124, -187, -250?\n\"Answer: -63*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that o**2\/3 + 1978*o\/3 + 978121\/3 = 0.\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -40, -44, -30, 8, 76, 180, 326?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1326*v + 1320*v + 1249122. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 174, -5, 0, -208, -1 in ascending order.\nAnswer: -208, -5, -1, 0, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-23.43.\nAnswer: -117.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**3 + 78*z**2 - 2*z + 91. Let s be 13\/(1\/5 - (-8)\/60). Let o be k(s). Suppose 6*b = b - 5*v + 40, -5*b + 68 = -2*v. Solve -o*r - 5 = -b*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 8, 2\/19, -0.1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 5 = 2. Sort -5, -21, c, 2 in descending order.\nAnswer: 2, c, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 42 = -0*r. Let n(q) = 6*q**3 - q**2 + q + 4. Let d be n(2). Suppose d - 85 = -7*w. Solve -b + m - r = 3*b, 5*m = -w*b + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u - 40 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12734 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4032 - -5?\nAnswer: -402a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2454000269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*c**5 + 18*c**5 + 0*c**5 + (3*c**3 - 3*c**3 + c**3)*(-c**2 - c**2 + 0*c**2) + (2*c - 3*c + 2*c)*(c**4 - 1 + 1).\nAnswer: 28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.16814 centimeters to meters.\nAnswer: 0.1716814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 4, q: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 24727, 24723, 24717, 24709?\n\"Answer: -a**2 - a + 24729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10305 (base 6) to base 3.\nAnswer: 1221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -8346519?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -194083849, -388167697, -582251545, -776335393, -970419241?\n\"Answer: -194083848*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-328)\/16)\/(1\/((-12)\/6)). Solve -7*k + h = -4*g - 2*k, -4*k + 32 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28975832 is divided by 63.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2866?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 87768580 or 87768583?\nAnswer: 87768583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-12) - (-51385)\/2580?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 2. Let a = c - 5.0007. What is a rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 7979600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42997685\/6 or -7166282?\nAnswer: -7166282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 333273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28197301, -28197302, -28197303, -28197304, -28197305?\nAnswer: -28197306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15922303987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4469 divided by -1960.\nAnswer: 4469\/1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -282 = 244*u - 122*u - 114*u - 10 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1448*a + 19399 - 4826 + 134571 = 0 for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((172\/(-10))\/((480\/(-200))\/6)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-30)\/(-25))\/((-50)\/125). Sort 6, 5, k.\nAnswer: k, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22 + 22. Suppose -z + 0*z - 17 = -4*w, -4*z + 4*w - 20 = i. Which is bigger: z or 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 6*q. Let u be i(7). Let n = 0 + 3. Suppose -2 + 8 = n*m. Solve 4*a = -m*r + u + 5, 10 = -5*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1081*q - 1319 - 51143 = 311*q - 958 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + -5296?\nAnswer: -5295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -90 - -149. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2400\/1120)\/(1\/(-28)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + j**2 + j + 20. Let w = -29615 + 29620. Suppose 0 = -3*q + 3*v + 12, -q - 5*v = -0*q + 2. Suppose w*k - 3*k = -q*k. Give l(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 145340000 to the nearest 1000000.\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 118851 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k**3\/3 - 15156*k**2 + 151460*k - 1135700\/3 = 0.\nAnswer: 5, 11357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (6*(sqrt(363) + 0) - sqrt(363))**2 + (sqrt(363) + 1)*-6.\nAnswer: -66*sqrt(3) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1006375)\/(-97) + (-8)\/(-12)*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2057433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + 3*f + 78. Give l(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79907 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 11) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -19*(-2)\/12 + (-105)\/(-126). Sort 2\/3, 1, u in descending order.\nAnswer: u, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 315020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1071 divided by 3.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1443325753?\nAnswer: 283, 937, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141969273?\nAnswer: 3, 19, 43, 57923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00084548 to five dps.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, l: 12}. What is prob of picking 2 l?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, z: 17}. What is prob of picking 3 z?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 19609 times -6.9\nAnswer: -135302.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 6*h**3 + 5*h**2 + 5*h + 6. Let q(r) = -6*r**3 - 4*r**2 - 4*r - 6. Let o(n) = -4*g(n) - 5*q(n). Find the first derivative of o(c) wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = -3*v - 36. Let u be (v\/15 - 0)\/((-8)\/20). Let k = 32 - u. What is the lowest common multiple of k and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 596, -2\/5, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183937993.\nAnswer: 19, 9680947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**3 + 5*u - 8. Differentiate w(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 89 - 76 - 13*y + 20*y**2 + 16*y**2 - 33*y**2 to l*y + n*y**2 + m and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -6*v + 10 + 3\/2*v**2 - 1\/8*v**3. Determine y, given that z(y) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14274846 divided by 793047\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-5\/3))**(-3\/35) assuming j is positive.\nAnswer: j**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ewg when three letters picked without replacement from {g: 10, m: 3, e: 4, w: 2}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -299\/8722916 or -1?\nAnswer: -299\/8722916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16309341.100486 - -16309328. Let c = 13.1 + o. What is c rounded to 5 dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 80504.1 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-38 - 86*p + 39 + 141*p - 2*p**2)*(1147 - 36*p - 1147) in the form q*p + b*p**3 + z + t*p**2 and give t.\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 2*d - 22 = 0, -298*m + 18 = -294*m + 3*d for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 193*z + 1022 = 388*z + 47. Solve -2*r + 3 = 3*v, 0 = -2*r - 0*r + 5*v - z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 789 by -3.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 10848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -296.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5363700 divided by -6?\nAnswer: 893950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*p = 710 + 525 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 + -25. Let l = -12 - -7. What is the third smallest value in l, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 - d. Suppose -1 = m - 0. Let f(c) = -c**3 + 1. Let x(j) = m*f(j) + h(j). Let z be x(-1). Put z, -5, -4 in ascending order.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.040255 + -45.917745. Let v = 46 + r. Let d = -3.992 + v. Round d to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 0*b + 1\/30*b**5 + 0 - 1\/60*b**6 + 0*b**3 + 1\/168*b**8 - b**2 + 0*b**4 - 1\/105*b**7. Factor f(v).\nAnswer: 2*v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o**2 + 2*o - 5. Let f(y) = -y**2 - y - 1. Let k(p) = -b(p) + 4*f(p). Let w be k(-3). Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 0.3  (c) 7  (d) 92  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 16 - 4. Suppose -m - v = -10. Solve 3*q + q = -2*i - 8, q = 4*i + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-54)*18\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 45\/2 of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g - 28 - 62 = -45 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6612947129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5466652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41181*d**2 - 41181*d**2 + 4*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -1304 in increasing order.\nAnswer: -1304, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -29, -0.061, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jww when three letters picked without replacement from {w: 3, j: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.85056305 to one decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 - -84751?\nAnswer: 84740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.852649 hours in minutes?\nAnswer: 171.15894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58454*d + 58285*d = 13351 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/10)\/((-1)\/2). Which is the nearest to 1?  (a) 5  (b) 1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/119)\/2 + (-206)\/34.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8192 divided by 16?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 21 + 108 = 0. Let r(y) = y**3 - y**2 + y + 15. Suppose -3*o = -2*o. Calculate the remainder when n is divided by r(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -16.2 and 4.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by -1680?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkopvnnknuopnknpnp. Give prob of sequence vpno.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {t: 1, r: 1, n: 5, s: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 102\/472 - 130\/520\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.028 - -0.028. Which is the nearest to -2?  (a) -5  (b) 2\/5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20668*g**2*k**2 + 3*g**2*k + g**2 - g*k - 2477*g - 10*k**2 wrt k?\nAnswer: -41336*g**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 + -18. Solve 2 = f - v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113383 is divided by 387.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -3*l - 1\/60*l**5 - 3\/2*l**2 + 0*l**4 + 0 + 0*l**3. Let k(y) be the first derivative of h(y). Let g(q) = q. Give g(k(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 56 - 28. Let x(s) = -s**3 - 19*s**2 + 16*s + 4. Let f be x(-20). Let v be (f\/10)\/(5 + 298\/(-60)). Calculate the highest common divisor of v and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420410063 rounded to the nearest 100000?\nAnswer: 420400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7382, -29461, -66250, -117761, -184006, -264997, -360746?\nAnswer: -471265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 74 + 24. Let h(m) = -9*m**3 + 16*m - x*m**3 - 8*m**3 + 9*m**3 - 16*m**2. Let c(d) = -d**3 - d**2 + d. Determine 48*c(y) - 3*h(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 16}. What is prob of sequence vv?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*s + 30, -s + 0*m - 4*m = -17. Let q be (-2)\/s - (-3)\/(-5). Suppose 2*b - 4*l = -0*l + 4, -4 = 4*b - 2*l. Put -3, b, q in ascending order.\nAnswer: -3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -213 - 200 + 6*h - 360 + 990 - 213.\nAnswer: 6*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -46.73 or -157794?\nAnswer: -157794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -1. Let s = 0 - k. Suppose 6 = 4*z + s*l, l + 1 = -2. Solve -5*r = z*g - 0*r + 28, 5*g - 3*r = 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 2*f - 2. Let l(x) = 9*x**3 - 21*x + 21. Let j be (-309)\/(-15) - ((-6)\/5)\/3. Determine j*n(k) + 2*l(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 1 = -3. Let f be (-2)\/8 + 1836\/48. Let u = f - 27. Sort t, u, 1.\nAnswer: 1, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/40883?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*h**2 + 12*h - 15 = 0. What is h?\nAnswer: -1, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6.0435 in -2\/19, 0, 5, -0.22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -392\/1731 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 1\/3*x**3 - 3 + 0*x**2 + 0*x - 1\/2*x**4. Give w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (15 + 2 + -1) - (-1 - -9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (13 + -15 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 - 44. Let d = u - -14. Is (2 + (-1 - -3))*d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/22 and -23\/19148.\nAnswer: 210628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -19*n**2. Let c = 18543 + -18541. Let v(m) be the first derivative of -38 + 0*m + 0*m**c - 2\/3*m**3. Give v(p(q)).\nAnswer: -722*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18608 - 18609. Let k(g) = -g**2 + g - 1. Let l(o) = -10*o**2 + 8*o - 4. Let n(h) = 9*h**2 - 7*h + 5. Let z(y) = -2*l(y) - 3*n(y). Give m*z(w) + 6*k(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -828, -827, -826, -825, -824, -823?\n\"Answer: f - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -109*m**2 + 54*m**2 + 56*m**2. Let j(r) = -r**2 + r. Let n(t) = -2*t**2 + t. Let i(b) = j(b) - n(b). What is i(g(s))?\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*s + 71 = -4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 111\/(-444)*2\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -783 + 782.5. Let b = 10 - 9.9. What is the third biggest value in 2, m, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -886, -893, -900, -907, -914, -921?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7402201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4\/11, 2, 4\/3, -29.\nAnswer: -29, -4\/11, 4\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5.55 in 1, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 750251 + 96771 = 22*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*s - 26. What is the remainder when s is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*i = -2*q + 24, -q = -2*i - 3. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -76 - c91?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 113868 + -113776.054. What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -2, 415, -3, 1 in descending order.\nAnswer: 415, 2, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**3 - a**5 - 2*a**2 + 2*a**2 + (-a - a + a)*(-4*a**4 - 2*a**4 + 5*a**4) - 2*a**5 + a**5 - a**5 - 2*a**5 - a**5 - 8*a**5.\nAnswer: -13*a**5 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 807, 806, 805?\n\"Answer: -d + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/310)\/1*(-76940)\/(-15388).\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(112) + 0 - sqrt(112)*2*6)**2 - (-2 + sqrt(112) - (sqrt(448) + 1 - sqrt(448))**2).\nAnswer: 436*sqrt(7) + 13580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 929*u + 2074*u + 1907*u + 1681*u.\nAnswer: 6591*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*u + 235 - 63 = -128 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -153072, -153074, -153076, -153078?\n\"Answer: -2*l - 153070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 5*o**3 - 142*o**2 - 94*o + 193. Calculate i(29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 57 = 3*z - 52 + 101, -2*z = 4*w + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - -153?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 AM and 1:54 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26165*i + 3 = -26165*i + 3*m, -4*i = m - 9. Let -105\/8 + 27\/2*g - 3\/8*g**i = 0. Calculate g.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, u: 3, d: 2, s: 1, e: 4}. Give prob of sequence wu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**3 + 26*t**2 + 26*t + 38. Suppose 4*p = 5*p - 4*z - 196, -4*z = p - 188. Let f = p + -125. Calculate the remainder when f is divided by x(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 285 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3323001 - 3?\nAnswer: 3322332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25626 is divided by 1814?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 2, 240, 2\/35, -0.2, 28.\nAnswer: -0.4, -0.2, 2\/35, 2, 28, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = -13289*l + 13358*l. What is the least common multiple of 3972 and l?\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1130 is divided by 686.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -402 - -242. Let a = -160.01 - v. Round a to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -5*w, 296*q + 2*w = 293*q + 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4845*1\nAnswer: 4845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 882.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11580, 25858, 40136, 54414?\nAnswer: 68692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 235 + -230. Suppose -5*j - 2*q + 35 = -0*j, 4*q = 3*j - 47. Calculate the remainder when j is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d (base 15) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 2:28 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z. Let a(h) = -658*h + 9. Let o(y) = 330*y - 4. Let q(r) = -4*a(r) - 9*o(r). Determine m(q(k)).\nAnswer: 338*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(6300) + sqrt(6300)*2 + sqrt(6300) + -3.\nAnswer: -4 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.373103059 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 844*j + 439*j + 1123*j + 960*j as n + u*j and give u.\nAnswer: 3366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4223574 divided by 123.\nAnswer: -34338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34 or 101\/3?\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 670 - 658. Solve 38 - 2 = c*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 200012000210220 (base 3) to base 12\nAnswer: 32a1180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 2*l - 6, 2*r = 71 - 63 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7931689 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a**3 + 7801576*a**2 - 78015835*a + 195039650 = 0. Calculate a.\nAnswer: -7801586, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 3909461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 858 and 390.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1731732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 632*z + 18860. Calculate k(-30).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/12*-2*((3 - 6) + -15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15561036)\/(-90) + 16\/(-40). What is c rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3102 + 0*p**4 + 6151 + p**3 + 0*p**4 - 3090 + 155*p**6 - 4*p**2 wrt p?\nAnswer: 18600*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13243 and 2242504.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24610 + 24688. Solve -i = -19*m - 59 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(-144*f**4 + 144*f**4 - 141*f**5).\nAnswer: 141*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((42\/6)\/14)\/(4\/14888)?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41 - -249. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-12) + 290\/435. Let p(w) = 17 + w**2 - w**3 + w + 0*w**3 + 0*w**2. Calculate p(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-4) - (-507)\/(-6). Let z = t - -101. Solve 0*x + z = 3*x + 5*w, -5*x = 3*w - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 163391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 4*l + 6. Let r be s(6). Let b = -5 + r. What is b rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 5:44 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l - 3*y + 24, -l - 6*y = -3*y - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 3*u**4\/4 + 325*u**3\/3 + 13*u**2\/2 + 3*u - 841. Find the second derivative of z(k) wrt k.\nAnswer: 18*k + 650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3565, -3, -4, 9\/11, -0.1 in ascending order.\nAnswer: -4, -3, -0.1, 9\/11, 3565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (84*(-12)\/(-33264))\/((1\/8)\/((-3)\/2))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*b = -52*b + 20. Sort b, -5, -26 in increasing order.\nAnswer: -26, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(700) - (2 + sqrt(700))**2).\nAnswer: 30*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8 + 34\/3)\/((-110)\/1485))\/((-6)\/10).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + (0 + -19 - -17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (11 - 9) + 17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10289 = -55*r - 2809. What is the remainder when r is divided by 54?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u + 27897 = 11*u + 3*y, y = 2*u - 55738. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 6 = 20*y - 17*y, 14 = -3*s + 5*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -21199070 or -21199071?\nAnswer: -21199070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*y - 7*y - 1590197 = -40*y. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/17  (b) 3  (c) -5713\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 11:50 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 1.2. Let s = -7 - -6.5. Which is the second biggest value?  (a) p  (b) s  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 + -35. Let b be ((-50)\/(-4))\/(i\/2 + -3). Solve -3*k - 2*k + b = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 20. Solve 1 = 2*p - b, -d + 14 = 3*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -4035*b + 459936. What is z(114)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 0.208\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010001111001101010 (base 2) to base 4.\nAnswer: -2101321222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/(-18))\/(5\/(-45)). Determine a, given that a + 1\/2*a**x + 1\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26 - -18. Let p = 0.01803 - 0.21803. What is the nearest to p in q, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 35 + -13 + -9 + 8 + 1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 195 and 757036.\nAnswer: 757231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22\/359 - -474283\/718. Let g = m + -643. Find the common denominator of g and 41\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + (-155)\/(-40))\/(276\/(-2760))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.1 + 5.18. Sort f, -2, -4 in increasing order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4*2*12\/(-16). Solve 13*b**2 + b + 2 + b**4 + 2 - 3*b - y*b**3 - 10*b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 349 = 4*r, -3*m - 213 = -4*r + 130. What is the lowest common multiple of 12 and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156*c + 8 = 158*c. Let r be ((-3)\/2)\/((-3)\/4). Solve 0 = c*j - r*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1384 is divided by 65?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, k: 15}. Give prob of picking 2 g.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - ((-1 - -3) + -28 + 16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -308*v + 180 = -272*v. Solve -7*b = -3*b - 2*s + 28, 0 = -v*s + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 65*z + 35. Let x(h) = 11*h + 6. Let n be (3\/6)\/(1\/26). Suppose 5*l + 4*g - n = -31, 5*l + 33 = g. Calculate l*w(s) + 35*x(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426654748?\nAnswer: 2, 13, 8204899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9587 + -5627. What are the prime factors of l?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22\/85 - -3869\/170. Let f = 319\/14 - r. Let d = 1.3 + -1. Which is the third biggest value?  (a) -3  (b) f  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -3, -2, -6, 5 in ascending order.\nAnswer: -6, -3, -2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l**3 + 197*l**2 - 754*l + 3 wrt l.\nAnswer: -6*l + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1203 + 574 + 21210*l + 629)*(-2*l**3 + 2*l**3 + l**3).\nAnswer: 21210*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 20*r**5 - 108*r**4 - 80*r**3 + 688*r**2 + 384*r - 256 = 0.\nAnswer: -2, -1, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(1573) - (2 + -2 + sqrt(1573) + sqrt(1573))) + sqrt(1573) + 1*sqrt(1573) + sqrt(1573) + 1 + 0)*2)**2 + 1.\nAnswer: 176*sqrt(13) + 25172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2483 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7824*m**2 + 4489*m**2 - 11657*m**3 + 3*m + 743*m**2 - 3*m wrt m.\nAnswer: -69942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -439671*v**4 - 2941*v + 1608 wrt v.\nAnswer: -5276052*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -137, -93, -49, -5, 39?\n\"Answer: 44*f - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n**(-2\/3)\/n*n))**36)**29)**(-20) assuming n is positive.\nAnswer: n**(-34800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1459447 divided by -6?\nAnswer: 1459447\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 606572.6 weeks to microseconds.\nAnswer: 366855108480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 3 + (0 - 2 + 0)*(8 + 9 - 2))*(b + 0*b + b)*(2 + 4 - 4)*(2 + 3 - 7).\nAnswer: 224*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -374, -431, -488, -545, -602, -659?\n\"Answer: -57*t - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llg. Give prob of picking 1 g and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (57\/342)\/((-7)\/(105\/(-50))).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -70\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -910224 divided by 24\nAnswer: -37926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89 + -85. Suppose -3*a - 2 = -6*a - 4*n, -i*n = -5*a - 50. Let m(o) = -o**2 - 11*o - 21. Let t be m(a). What is the highest common factor of 117 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + o**3 - 3)*(1 + 0 + 0) - 3*o - 5*o**3 + o - 70*o**2 + 71*o**2 to g*o**3 + a*o + v*o**2 + z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 2*g + 48. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**2 + 1\/10*y**5 - 1\/6*y**4 + 1\/3*y**3 + 0 - 7*y. What is the tens digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16447657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 11*b**2 - 10*b - 17. Let n = -10 - -22. What is the units digit of k(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 17*n**2 - 14*n - 33. Let v be y(16). Does 3 divide (12\/(-42))\/(v\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -781491, -781505, -781519, -781533, -781547?\nAnswer: -781561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 12*j = 97*j + 62*j - 459 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + 9*f + 12. Let w be k(10). Suppose 5*t + 2 = 7, -b - 4*t + 8 = 0. Differentiate c**b + c**4 - w + 0 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -9*v**3 + 12*v**2 + 18*v - 6. Let y(c) = -46*c**3 - 2*c**2 - 45*c**3 + 92*c**3 + 0*c - c + 1. Let p(m) = -i(m) - 6*y(m). Let p(n) = 0. Calculate n.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45359349.\nAnswer: 3, 7, 17, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j**5\/j)\/j*j))\/(j*j*j**0*j)*(j**(-2)\/j)**(-1\/8)*(j**(2\/5))**25\/(j\/j**7*j*j*j\/(((j\/(j\/((j\/((j\/j**7)\/j*j))\/j)))\/j)\/j)*j) assuming j is positive.\nAnswer: j**(83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9 + 27a?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 156644396 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 976*u - 42126 = 959*u. Calculate the remainder when u is divided by 207.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13808399351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (1 - -16) - (-284 - (-680 - -338)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -6 + 3 + -1 + (10 - 36 - -15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 248095, 496186, 744277, 992368, 1240459?\nAnswer: 1488550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d**4 - 52*d**3 + 11*d**2 + 50*d**3 + 2*d**4 + 0*d**4 + 2*d to a*d**3 + k*d + y*d**4 + s*d**2 + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eighty-eight fifths of a meter?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -686*z - 314*z - 1335*z - 2668*z + 743*z to the form q + r*z and give r.\nAnswer: -4260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -9*p**3 + 5*p**2 + 2*p - 4. Suppose 1401*h - 2*k - 16 = 1399*h, -2*k = 3*h - 4. Let u(g) = -g**3 + g**2 - 1. Give h*u(b) - j(b).\nAnswer: 5*b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12464568 by -12.\nAnswer: -1038714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s\/(s**(1\/4)\/s)))\/(s*s**(-7\/5))*(s*s**(-4))\/(s*((s*s**0*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 9:35 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1046*l = 6*l + 28838 + 11138 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 2*j + 13 = 3, -5*c + 4*j = -22. Solve -c = -5*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21296.77 grams to tonnes.\nAnswer: 0.02129677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 4. Factor 6*a**2 - 1 + 3*a**4 + 0*a**3 + n*a - 3 - 2*a**3 - 5*a**4.\nAnswer: -2*(a - 1)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9052 and 31483724.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1800*u**2 - 85*u + 1802*u**2 + 1797*u**2 + 1800*u**2 + 1794*u**2 - 8991*u**2.\nAnswer: 2*u**2 - 85*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*h - 89 + 33 = 15*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -1518*m + 34927. Determine o(23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/90228 and -38\/834609?\nAnswer: 3338436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -44*v**2 + 116*v - 1. Let s(k) = 133*k**2 - 349*k + 3. Let d(u) = 7*j(u) + 2*s(u). Find the second derivative of d(z) wrt z.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4655, 9290, 13923, 18554, 23183, 27810, 32435?\nAnswer: 37058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/7 - (-3332)\/343?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -0.278.\nAnswer: 0.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {w: 10, m: 2, h: 1, v: 3, j: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-48)*-25*(-18)\/(-315)*21*2.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -5. Suppose f*b - 4*b - 3 = 0, 0 = -o - 5*b - 11. Let v = 4 + -4. What is the nearest to v in o, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 6*q + 4*q - 9 = 0, -3*m = 5*q + 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 1210 + 366. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -6*g**2 - 5*g - 5. What is r(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 9*f**3 + 5*f + 1. Let x(o) = -8*o**3 - 4*o. Let z(u) = -4*t(u) - 5*x(u). Find the first derivative of z(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 14*m**2. Let c(l) = 11*l - 218*l + 65*l + 35*l + 32*l. Determine c(u(k)).\nAnswer: -1050*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -5*s + 3. Let n = 14 + -23. Let r be (-36)\/16*12\/n. Let d(v) = -16*v + 10. Let x(i) = r*d(i) - 10*y(i). Let o(m) = 6*m. Calculate o(x(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -526 times -4.1\nAnswer: 2156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12 from -6566.637221.\nAnswer: -6578.637221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 737\/3 - (-1 + 2\/3). Suppose 0 = 2*i - 4*x - f, 3*i - 324 = x - 4*x. Is i a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2754\/(-6120))\/((-3)\/(-5))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3600 divided by 5?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -131541 (base 7) to base 13.\nAnswer: -b295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 6*w**5 - 2*w**3 - 2*w**2 - 12*w. Let n(l) = 7*l**5 - 3*l**3 - 3*l**2 - 11*l. Let z(d) = 3*b(d) - 2*n(d). What is the second derivative of z(v) wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) 0.5  (b) -0.1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -324801 divided by -1\nAnswer: 324801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**4 + 3*o**2 - 3*o**2 + 3*o**4 + 0 + 0 + (-o**2 + 0*o + 0*o)*(0*o**2 - 2*o**2 + 3*o**2))*(-12 - 11 + 7)*(4*o - 2*o - o).\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 521807 or 521780?\nAnswer: 521807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*r - 17. Suppose -v + 18*v - 51 = 0. Suppose -4*a + v*u + 35 = 0, 0 = -2*a - 5*u + 8 - 23. Put a, r, 1 in descending order.\nAnswer: a, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.8, -0.1, 8810, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 - 3a693?\nAnswer: -3a6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 294\/5 and 59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 158, 252, 364, 500, 666?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 5:11 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/926, -0.3, 3, -4, 1\/17.\nAnswer: -4, -0.3, -3\/926, 1\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -54661 - 352*p + 2*p**2 + 54661 as s + u*p**2 + i*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**3 + 11*g**2 + 6*g + 3. Suppose 11 - 67 = 14*k. Calculate the remainder when 37 is divided by j(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6920199 is divided by 175?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-4)*4*(-21)\/14. Suppose -j*u = u - 23330. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -293*c + 24. Let l(q) = -293*q + 28. Determine 6*l(k) - 7*x(k).\nAnswer: 293*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 368.86 - 369.16. Which is the second smallest value?  (a) -5  (b) 7\/3  (c) y  (d) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from nnnnnwnnnynwnnnwyn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 20538\/1998 + -11 - (-4)\/74\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 185 = -2*i - 17, -324 = -4*i - 4*p. Suppose -5*w + 4*w = -i. Suppose -3*q - 3*a + w = 0, -4*q + 4*a + 126 = 6. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 - 35310?\nAnswer: -35301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 - (-48 - -22 - -21 - 0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*n**3 + 2 + 27*n**2 - 761*n + 350*n + 376*n wrt n.\nAnswer: -12*n + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 + 102*z + 2588. Determine b(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00110707253 rounded to 7 decimal places?\nAnswer: 0.0011071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1123013122 (base 4) to base 6\nAnswer: 11555454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/17)*j**(2\/3)*(j**0\/j)**31 assuming j is positive.\nAnswer: j**(-1553\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + 1 + sqrt(99) + -2 + -2*(sqrt(99) - 2*sqrt(99) - sqrt(99)) + 0 + 1 + -1*sqrt(99) + sqrt(99) + 1 + 4)**2 + 2.\nAnswer: 180*sqrt(11) + 3591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from unjfndf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.1 - -0.7. Let d = x - 0.1. Which is the closest to -0.1?  (a) 4  (b) -5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -259 - -2566.3469\nAnswer: 2307.3469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8536977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*i**3 + 1\/2*i**4 - 1\/2*i**2 + 0 + 0*i.\nAnswer: i**2*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11100 (base 2) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 23*h - 2. Let y(r) = 70*r - 7. Let c(m) = 7*f(m) - 2*y(m). Let b(j) = j. Let d(t) = -10*t. Let k(v) = 18*b(v) + 2*d(v). Calculate c(k(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 144 = 136. Let r = -0.2 - -0.4. Which is the third smallest value?  (a) 3  (b) r  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*s - s - f, -5*f = -2*s + 35. Solve -1 = 2*h + s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2*sqrt(2541) - sqrt(2541))*-1)\/(-4*((2*sqrt(1008) - sqrt(1008)) + sqrt(1008))*2).\nAnswer: -55*sqrt(3)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*l = 589*l + 267*l - 25896 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 13 = -5*n - 5*j, 0 = 4*n + j + 11. Which is smaller: n or -12\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*v = 2*v + 176, v + 188 = -3*x. Let i = 244 + x. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37151 is divided by 7289?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-286)\/33 + 9)\/((8\/(-6))\/(2964\/(-117))).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6703439, -26813745, -60330921, -107254967, -167585883?\nAnswer: -241323669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/5))**(-2)*(y**1*y)\/y**(6\/11)*(y\/y**(-2\/3)*y*y**(-4)*y*y)**(-4\/17) assuming y is positive.\nAnswer: y**(1396\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -864.4 times -74\nAnswer: 63965.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from {s: 1, c: 5, l: 6, v: 2, o: 1, m: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 570 at least as big as 591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x - 15. Let i be g(9). Let a = i - -43. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 43 = 3*x, -2*x - 17 = -3*x - 2*s. Let t be 3\/x*0 + 3. Let 2 + o**2 - 4 + 2*o + 2*o - t*o**2 = 0. Calculate o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54735515?\nAnswer: 5, 23, 179, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 4:25 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2362066 (base 10) to base 5\nAnswer: -1101041231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 50 + 202 = 0. What are the prime factors of a\/3 + (-3)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63979031 a multiple of 1455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*n + 3 = -4*l + 62*n, 3*l + 15 = 2*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*z + z - 28*z**3 - 18*z**3 + 23 + 48*z**3 in the form x*z**2 + q*z**3 + s + t*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p + 13. Suppose 0 = -4*g + 3*u + 53, 13 = 2*g + u - 6. Let y be j(g). Solve 3*a - y = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3*r - 7. Let v(s) = -2*s - 3. Let n(g) = 4*f(g) - 7*v(g). Let d(k) = -k + 3. Determine 5*d(u) + 2*n(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of 3*h**2\/2 + 13*h - 3. Let b be d(0). Suppose 106 = 5*x - 24. What is the highest common divisor of b and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 8:01 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of -a**4\/4 + a**3 - 5*a**2\/2 + 2*a. Let x be i(3). Let w(n) = n**2 + 3*n - 19. Is 37 a factor of w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, b: 1, g: 2, o: 5}. What is prob of picking 4 o?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 39337.44 minutes?\nAnswer: 2360246.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 0.05832?\nAnswer: 0.17496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 = -6*h + 53. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**3 + 10*l**2 - 4*l - 15. Determine c(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -30*s + 25*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 320 + 7.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 2)*4\/(-8). Suppose -2*j - 3*j + 4*u + 68 = 0, 2*j + 2*u - 20 = s. Let v(z) = 9*z**2 + 5*z + j*z**2 - 1 - 23*z**2. Give v(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 14e + c?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1137 not equal to 1137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 2103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 34103 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 0.1, 4, 3, -1\/3, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) + sqrt(500) + 2*sqrt(500))*-4 + sqrt(55)\/(sqrt(275)*-1).\nAnswer: -801*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 4. Let m = x - -10. List the prime factors of (-1)\/2*-1*m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2872083 is divided by 265?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -89*w**4 - 453 + 762*w - 768 + 917*w**3 - 840*w + 1723*w**2 + 2*w**5 - 1417*w + 163 = 0. What is w?\nAnswer: -2, -1\/2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6984 and 16296.\nAnswer: 48888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 - 38. Suppose 3*a + m = -v - 2*a, 0 = 5*v - a - 8. Is 33 a factor of (v*-1)\/(15\/(-2475))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -37, 22\/5, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2130 divided by 5981?\nAnswer: -2130\/5981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-12)\/(-16))\/((-3)\/2). Let c = 0.01 + -2.01. Let f = c - -2.2. What is the nearest to 1 in 2\/9, i, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -334*d - 323*d - 334*d - 18*d**2 + 991*d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n - 108 = -n. Let y be (-2 + 4 - 0) + 65. Let v = y - n. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 = -4*x - 72, -21 = -5*s + x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**5 - 35*t**4 - 75*t**3 - 65*t**2 - 20*t.\nAnswer: -5*t*(t + 1)**3*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.09 - 2.79. What is the closest to -0.1 in -3\/7, w, -3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21744 divided by 8.\nAnswer: -2718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -129, -107, -49, 63, 247?\n\"Answer: 3*w**3 + w - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -366*n + 4*n**2 + 1765*n - 324*n - 351*n - 362*n - 362*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -232 smaller than -232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 559554228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do 3\/752602 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23431944 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 201750\/11 = 18341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4558095 is divided by 647.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -39*f**4 - 391*f**3 + 391*f**3 + (-3*f - 4*f + 5*f)*(f**3 - f**2 + f**2).\nAnswer: -41*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 4*s + 123. Let u = s + 81. Calculate the remainder when u is divided by (-35)\/(-2)*(-8)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 4. Let n be (0\/2)\/(u\/(-2)). Suppose -2*r + 5*r - 498 = n. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6440260 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - 8 - (-3)\/1. What are the prime factors of (356\/8)\/(s\/(-6))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10121021222220211 + -1?\nAnswer: 10121021222220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12852, 25713, 38580, 51459, 64356?\nAnswer: 77277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*b**3*s**2 - 5*b**3*s + 2*b**2*s - s**2 - 6*s wrt b.\nAnswer: 84*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/90)\/(175\/165)*-12.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -342913*w**2 + 342923*w**2 - 2*w + 2*w.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-1*1\/7). Let d = 10 - o. Solve -5 = b, d*b + 19 = y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/4032 and 53\/82134.\nAnswer: 18398016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/304 and 25\/8.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 1:35 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 28 - (-158 + 173) - 97.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5 + 4 = 0. Let t = -89 + 624\/7. Which is the third smallest value?  (a) m  (b) t  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/117 and -59\/3696.\nAnswer: 144144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -239, 72, 4 in increasing order.\nAnswer: -239, -1, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 990831.\nAnswer: 3, 19, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 141231997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 726?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -20 - (-52 - -20) - 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5899881289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - v - 76 = -a, -5*a + v + 362 = 0. What is the remainder when a is divided by ((-981)\/(-36) + -18)\/(1\/4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -1823 - 1823 + 16204*k - 1835 + 5481 as r*k + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -228*u = 3*b - 230*u + 23, 5*b = 5*u - 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 37054168 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in -0.2, -3\/385, 5, -1, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-954)\/(-4664))\/((-3)\/(-4)))\/((-1)\/1).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from 49762201430625.\nAnswer: 49762201430625.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6, 131, 1\/16, 2, 0.4, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9757854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.2952306 litres?\nAnswer: 295.2306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 913096*p**3*q - 2*p*q - 4531453*p wrt p.\nAnswer: 5478576*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 465 = -5*w. Let t(x) = -6*x**2 + 3*x + 79 - w - 7*x + 7*x**2. Determine t(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1730 - 1727. Let g(t) be the second derivative of 0 + 5\/2*t**2 + 10*t + 0*t**c - 1\/3*t**4. Find the first derivative of g(a) wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {d: 4, k: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 7) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1 + sqrt(128) + sqrt(128) + sqrt(128))*2 + 1 + ((2 + (0 + sqrt(128) - sqrt(128)))**2 - sqrt(128)) + sqrt(128) + (sqrt(128) - (3*sqrt(128) + -1)).\nAnswer: 9 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 22a2 - -78?\nAnswer: 233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 9, j: 2, x: 3, g: 3, u: 1}. Give prob of picking 1 m and 1 g.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**(-16)*o**(5\/11)*o*((o\/(o*o**(-20))*o*o)\/o)\/((o*o**(-4))\/o) assuming o is positive.\nAnswer: o**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 7*v - 96. Let s(h) = -6*h - 154. Let d be s(-28). Let m be t(d). Solve 3*u - m*l + 32 = 11, 2*l = -3*u - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1103, -2204, -3289, -4352, -5387, -6388, -7349?\nAnswer: -8264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + d + 2. Let p = -7 - -12. Suppose o = p*o. Let s be t(o). Solve 5*l - s = -12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23317 greater than or equal to -23318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 296 = -354*b + 391*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 2. Let f = -241.86 - 6.14. Let t = -245 - f. Is o >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 5, 3, -24 in ascending order.\nAnswer: -24, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -1011?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**2 + 5. Let h(m) = -1. Let f(k) = g(k) + 5*h(k). Let q(i) = 6*i**2 + 3*i - 3*i. Calculate q(f(x)).\nAnswer: 54*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7472444333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**3 + 176858*o**2 - 10957630*o + 10780774 = 0. Calculate o.\nAnswer: 1, 61, 88367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -7405028.3 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9 - 27?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 47368 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - ((53 - 65) + 24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from ggoogggggjgoogogog.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 2*x = 7, 4*z - 299*x + 563*x + 37 + 13 = 269*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 762 and 18.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (34060\/(-30))\/(-1)*54. What is the highest common factor of h and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 177*f**2 + 188*f - 1806. What is x(176)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 12*o + 330 = 0. Let m be (3 - o\/9)\/((-5)\/30). Suppose 0*n - 1\/4*n**m + 0 - 1\/4*n**3 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-3) + 0 - -1. Suppose 0 = -4*d + u*d. Which is smaller: 2\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 6:20 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.28 * -1040.\nAnswer: -291.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 258 a factor of 1290975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -4*o**3 + 7*o**2 + 3*o - 12. Let p(j) be the first derivative of j**4\/4 - j**3\/3 - 2*j - 51. Let n(r) = h(r) + 3*p(r). What is g in n(g) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1*(3*(sqrt(1700) + 3*sqrt(1700)) - sqrt(1700)) - (0 + -2*((sqrt(1700) + -2 - sqrt(1700)) + 1)))**2.\nAnswer: -1540*sqrt(17) + 205749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1058 + -1266. Let g be -8 + 1 - (i\/24 - -1). Factor -g - 1\/6*u**2 + 2\/3*u.\nAnswer: -(u - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/3)\/(377\/(-2262))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*y**3 + 3*y - 3*y - 87*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 6*l - 48. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91133971 divided by 5?\nAnswer: -91133971\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**2 - 9*x - 4. Let i(a) = 3*a**2 - 10*a - 6. Calculate 3*i(p) - 4*y(p).\nAnswer: p**2 + 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 5*g**2 - g - 7. Give a(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/82260 and -133\/90.\nAnswer: 82260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 117347.560496 - 51210.9604. Let d = -66155.6 + c. Let s = d - -19. Round s to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -27*j - 31. Let b be 12\/(-5)*4\/204. Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-1)*((-2445)\/(-5379) - (-1)\/22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*d - 44*d - 76*d + 628 + 142*d - 628.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -20, -26?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -9*w**6\/10 - 13*w**2 + 15*w + 33. Let j(o) be the first derivative of t(o). Differentiate j(x) wrt x.\nAnswer: -108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6732, -6848, -7174, -7818, -8888, -10492?\nAnswer: -12738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 484*i - 433*i + 1836 = 0 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24838 and 1604570.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z + 2*z + z**2)*(z - 5*z + 0*z) - 19 - 7*z**3 + 19 + (2 + z**2 - 2)*(2*z + z - z) in the form y*z**2 + k*z + t + m*z**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -57, -278, -591, -996, -1493, -2082?\n\"Answer: -46*y**2 - 83*y + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1445*q - 1429*q - 33360. What is the greatest common factor of 45 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-2))\/((-5)\/30). Let g be 15*-2*(-2)\/(-12). Sort g, -4, h in increasing order.\nAnswer: g, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 - -1.100743\nAnswer: 0.200743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2) + 60\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55 + -36. Suppose 5*h - m = s, -2*m + 6 + 1 = 5*h. Factor t**3 - t**2 + t**4 - t**h + t - t**3.\nAnswer: t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -3*c - 21, b - 9 = -0*b + 2*c. Suppose -z + b*z = 4. Let r(u) = u**3 - 3*u + 2. What is r(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/270*(-282 + 285)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1032*u**6 + u**4 + 1024*u**2 wrt u.\nAnswer: 123840*u**3 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*k**2 - 18*k**3 + 16*k**2 + (-3 + k + 3)*(-3 + 3 + 2*k**2) + 3*k**3 + k**3 - 3*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of (16929\/(-165))\/((-196)\/(-200) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3024.6278 - 3025. Round g to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 303767, 303771, 303811, 303905, 304071, 304327, 304691?\nAnswer: 305181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29302*h + 124485 = 26407*h for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 - (10\/(-2))\/(-1). What is the nearest to 15 in -5, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 1718?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -4*d**3 + 9*d**2 - 14*d + 3. Let p(l) = 3*l**3 - 6*l**2 + 9*l - 2. What is -5*o(u) - 7*p(u)?\nAnswer: -u**3 - 3*u**2 + 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -4487187*i**4 + 20645554725*i**3 - 20674822341*i**2 + 33768603*i - 13800 = 0. What is i?\nAnswer: 1\/1223, 1, 4600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17\/7?  (a) -1\/2  (b) -8\/37  (c) 3  (d) 2\/3  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 + (-31388)\/(-665) - -34.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of 1\/330*h**5 + 0*h + 0 - 102*h**2 - 2\/33*h**3 - 1\/132*h**4. Let w(u) = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -10 + 1. Let f be 2 - 2\/1 - z. Factor 2*r**2 + 2*r**2 - 5*r - f*r**2 + 2 + 2*r.\nAnswer: (r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/8)\/((-45)\/18) - 32544\/12480\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 + 49. Let p be ((-30)\/h)\/(2\/(-10)). Find the third derivative of z**5 + 2*z**2 + 2*z**p - z**5 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*w**5 - 1987*w**3 + 7969*w - 1 wrt w.\nAnswer: 40*w**3 - 11922*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2, 8, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5442 (base 9) in base 14?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 271*c**5 - 2*c + 84*c**2 + 23*c**5 + 100*c**5 + 99*c**5 + 110*c**2 wrt c?\nAnswer: 29580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4984776500 rounded to the nearest one million?\nAnswer: -4985000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -148, 1\/4, 41 in decreasing order.\nAnswer: 41, 1\/4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - 6*r**2 - 7*r + 46. Let w be k(3). What is the nearest to w in -7, -2, 2, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -7*s**2\/2 - 13*s - 6. Let i(d) be the second derivative of -d**3\/2 - 3*d**2 - d. Determine -9*i(z) + 4*v(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -2\/11  (c) 5\/3  (d) -5  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*c - 35*c + 73*c + 6*c - 59*c + 45*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) -0.7  (b) -4  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -1.08. Let d = w - -7.08. Let h = d - 7.00138. Round h to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -628 - 29117*z - 16534*z + 630.\nAnswer: -45651*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffffgfg?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 5 - 11. Calculate the remainder when 29 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59745 is divided by 2303?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 - 3*r - 22. Determine o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.142217 rounded to 3 dps?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 702 is divided by 56.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(7\/6)*x)**3 assuming x is positive.\nAnswer: x**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 3*h**2 - 124*h + 169. What is x(40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*2 - (-27 + 30). Solve 3*k - 8 = w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/5*12*66\/(-26928)*60\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + 17\/((-51)\/219) - -12?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 2, -4*g + q + 0*q = 14. Is (78 - -3 - -1) + g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 1220*i**2 + 124*i - 124. List the prime factors of y(1).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1847524 divided by 1?\nAnswer: -1847524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22422437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -310?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 4*c + 6 = n, -5*c = 3*n - 11. Let l(w) = 6*w + 2. Let p be l(1). What are the prime factors of c\/((3\/8)\/(12\/p))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00076500027 to five decimal places.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -1469*x**4\/4 - 109*x**3\/3 + 348. What is the third derivative of m(u) wrt u?\nAnswer: -8814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599020 is divided by 2952?\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + 0. Solve 0 = -6*s + 2*s - j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1441783 to 4 decimal places.\nAnswer: 0.1442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -66 + 684226?\nAnswer: 684160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-4)\/(-6))\/((-2)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 946 a factor of 976061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.12 - -0.18. Let j = -3.4 + 3. Put j, x, 4 in ascending order.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -82784773, -165569548, -248354323?\n\"Answer: -82784775*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - (32 + -106)) + -26\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1878 - 972 = -114*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -r - 5, 5*x - 77 + 57 = 0. Let q be -22*(-2)\/4*3. What is the greatest common divisor of q and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 895\/60 - -20*(-57)\/76?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/49 - (-24)\/14. Suppose 0 = x - 3*x + k. Let b = -1 + x. Which is greater: b or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45435 divided by -3029\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g**5\/3 + 1510*g**4\/3 - 11800*g**3 + 216350*g**2\/3 - 464995*g\/3 + 94180 = 0 for g.\nAnswer: 1, 3, 4, 17, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 30.3094 - -186.935. Let h = a + -0.0444. Let l = h + -240. Round l to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*v**2 + 1 - 1)*(-1 - v + 1)*(6 - 16 - 1) to the form f*v**2 + z*v**3 + b*v + k and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/292 and -11\/320.\nAnswer: 23360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - 5*i - 35*i to w*i + b and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 363 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-two fifths of a minute in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04340099 - 0.0434. What is w rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 7*w = -165. Suppose 3 = -k + w. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*p - 8 = 0. Let d be (-6)\/(2\/(p\/6)). Let x(z) = -z**2 - 6*z. Let v be x(-5). Solve 7 = -d*j - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*z + 46*z - 3781 = -481. Let k = -147 - -268. Calculate the least common multiple of k and z.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 19 = 5*l, 3*l + 144*k - 16 + 3 = 145*k - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**9\/30240 + 7*o**6\/720 - o**5\/20 - 6*o**2. Let t(m) be the third derivative of f(m). What is the derivative of t(w) wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 2:35 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t. Let w(o) = -30722 + 1281*o + 30722. Calculate w(x(m)).\nAnswer: 1281*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 6*v - 5*v + 51 = 0, -5*u + 45 = 5*v. Factor 0*a + 27 - u*a + 3*a**2 + 0*a - 8*a.\nAnswer: 3*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxs when three letters picked without replacement from ybbtbbyybbsxk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 10088 - 19503 - 46250 = 0. Calculate the highest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 - 36 - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -0*c - 27. Let u = -2 + c. Let q = 198 - 121. What is the greatest common divisor of q and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s = 0. Suppose 9 = 7*c - 26. Suppose s = c*y + 15 - 30. Solve -3*z + 9 - y = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*b**5\/13 - 18672*b**4\/13 - 9330*b**3\/13 - 1166*b**2\/13 = 0. Calculate b.\nAnswer: -583, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, t: 2, k: 1, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*((-2)\/(-18))\/(2\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 542136 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23*t**2 - 447694*t\/5 + 3893\/5.\nAnswer: -(t + 3893)*(115*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by (-115)\/(-4) + 2\/8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234410 is divided by 196?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -81*u**6 - 32*u**5 + 4*u**2 + 44*u - 9 wrt u?\nAnswer: -9720*u**3 - 1920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -7*h**4\/8 + 4409*h**3\/3 - 693945*h**2 - 396900*h - 3688. Factor m(l).\nAnswer: -(l - 630)**2*(7*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 24\/(-10)*25*8\/58280. Let c = x + -211121\/17484. Find the common denominator of c and 93\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 2*p**2 + 5*p**2)*(256*p**2 - 24*p**3 - 256*p**2) + p**3 - 3*p**5 - p**3 - p**2.\nAnswer: -27*p**5 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -i + 2248 - 825, 4*i = 2*k - 734. Suppose 51*v = 48*v + k. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11.43 + 11.63. What is the nearest to t in 12\/13, 5, -1\/7, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 203 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 237 - -8. Let s = -245.1 + v. Suppose -2*o = 2*p + 8, 0*p - 16 = 4*p - 4*o. What is the nearest to s in -0.5, p, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -11. Let x be (k + -3)*(-2)\/2. Let i = 29 - 32. Which is the closest to i?  (a) 4  (b) x  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-2)\/10*(2955\/985 + 29\/(-8))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10498110 to the nearest 10000.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**5\/3 - 2*f**4\/3 - 3123*f**3 - 92562*f**2 - 911520*f - 2909088 = 0 for f.\nAnswer: -78, -12, -7, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 less than 14921\/4030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1101?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (0*(-4)\/(-16))\/(-2)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26586 or 26587?\nAnswer: 26586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 - 2*q - 5. Let l be (-2)\/5 - 66\/(-15). Let m be w(l). Suppose -m*h = -n + 3*n - 25, -3*h + 5 = -2*n. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 2:12 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 118 - 202 = -4*p, 0 = 5*y - 4*p - 480. Let x = 106 + -81. Calculate the highest common divisor of x and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8417242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-65 - (-40 - -11)) + (-21 - -3).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2146.30495 rounded to the nearest integer?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8104 divided by 7276?\nAnswer: 2026\/1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 61*k - 2481. Calculate the remainder when 1011 is divided by a(41).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 3*n = 2*k - 3, 2*n = -2*k + 8. Suppose 201 = -0*j + k*j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 168\/44 - 3*(-2)\/33. Which is the closest to 1?  (a) 1\/6  (b) y  (c) -3  (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 6*l**2 - 1. Let f be p(-6). Which is the third biggest value?  (a) -5  (b) f  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = b - 53, -3*b + 5*b = h - 2. Calculate the greatest common divisor of 840 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*y**3 - 35*y**3 - 10*y**3 + 18*y**3 + 41*y**2 wrt y.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/(-15) + (-108)\/(-855). Let y(x) = x + 1. Let j be y(0). Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 4659.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2012744023 to the nearest integer?\nAnswer: 44864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*z + 24 = -25*z. Let n = 5 + -1. What is the third derivative of -12*s**4 - 2*s**2 - 6*s**z + 10*s**2 + 10*s**n wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 477357  (c) 2\/19  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 759, 757, 751, 741, 727, 709, 687?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i**(1\/8)*i)\/i)\/i)\/i*i*i**(2\/7)*(i*i*i**(-3\/5)*i)\/(i**(-1\/7)\/i))**(1\/19) assuming i is positive.\nAnswer: i**(827\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -64?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 5*q - 15. Is g(-8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1527187491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 4827.18\nAnswer: -2413.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1656*d**2*r - 92407589*d**2 + 311*d*r + r with respect to r.\nAnswer: 1656*d**2 + 311*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14524 (base 7) in base 13?\nAnswer: -1ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5737*f + 2970 = -5791*f for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 4 - 1)*(4*u + 4*u + 0*u) + (-2*u - 1 + 1)*(3 + 5 + 5))*(-5*u**2 - u**2 + 2*u**2).\nAnswer: 136*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 55*k**4\/2 + 24785*k**3\/2 + 15655*k**2\/2 - 42825*k\/2 - 16875 = 0. What is k?\nAnswer: -450, -1, 15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -11, -2798.\nAnswer: -2798, -11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 127, 366, 831, 1600, 2751, 4362, 6511?\nAnswer: 9276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 191120 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: Let x be (-76)\/18 + 4\/18. What is the common denominator of 67\/56 + (-18)\/(-42) and (6\/x)\/((-5)\/6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-4)\/3)\/(131\/((-1048)\/96)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.421705kg?\nAnswer: 421.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35 + -32. Suppose -s*q = -0*q. Suppose q = -2*g - 6*g + 640. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f + 3*f - 5*f)*(-4*f + 2*f + 3*f) - 1 - 2*f**2 + 1 - 3*f**2 - 2*f**2 + 2*f**2 - 3*f**2 + 2*f**2 - f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -906 by 3.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (179\/(-358))\/(-1*(-4)\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 294648997 is divided by 2261?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 8*k + 20. Let o be p(-9). Let w = o - 15. Put 5, -3, w in descending order.\nAnswer: 5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1584)*1 + 1 - (sqrt(1584) + 3*-1*sqrt(1584)))**2 + 3.\nAnswer: 72*sqrt(11) + 14261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 64091522 and 4180?\nAnswer: 640915220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-150)\/(-120))\/((-1)\/(-8)). Let d be 10\/(-15)*9\/1. Let g be 6\/(1 + (-3)\/d). Solve -g*r = r + n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*n + 2909 - 7*n - 5794 - 6*n + 2929.\nAnswer: -n + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*x**3 + 25*x**3 + 44*x**3 - 53*x**3.\nAnswer: 50*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3\/2, 0.41, 24, 0.3 in ascending order.\nAnswer: -3\/2, 0, 0.3, 0.41, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bhbyhyyhyhhhhyhby. Give prob of picking 1 b and 1 h.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 1. Let c = 4 - 8. Let p = c + 11. Let d(o) = 2*o**3 - 12 + p - o**3. What is 2*d(v) + 9*l(v)?\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -2*a**4 - 2704*a - 132*a**3 - a**4 + 3406*a**2 - 910*a**2 + 7*a**4 + 336*a**3 = 0.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3442532 divided by 236\nAnswer: -14587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-9) - 281\/(-3). Let r = -57 + m. Let z(u) = u**3 - 6*u**2 - 38*u - 24. Let x be z(-3). What is the greatest common factor of x and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 95 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1984 + -13581.8?\nAnswer: -13581.9984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245856472 is divided by 22042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -193622*a - 163435 with respect to a.\nAnswer: -193622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + r**2 - 3*r)*(2 + 4*r - 2 + 2*r - 1 + 1 + (-5*r + 3*r + r)*(0 + 3 - 1) - 3*r + 0*r + 2*r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 5) to base 7\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 1 + 5, 4*b + k = 42. Let u = b - 15. Let o(i) = i**3 - 4*i**2 + 2*i - 3. Let a(j) = -j**2 - 1. Give u*a(s) + o(s).\nAnswer: s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*t + 3. Let n(f) = -2*f**3 + 21*f**2 + 15*f - 47. Let a be n(11). Sort 1, t, a, 4 in increasing order.\nAnswer: t, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -26  (b) 0.5  (c) 2\/13  (d) -2\/19  (e) 0.02  (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 7 = -m, 9*m = 7*m + 3*r + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.084 - -1.766732.\nAnswer: 1.850732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 280860, 561786, 842856, 1124142, 1405716, 1687650, 1970016, 2252886?\n\"Answer: 12*w**3 + 280842*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.03402  (b) -5\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 27 = -3*f, -5*f + 39 = -0*w + 2*w. Suppose -494 + 1790 = 4*t. Suppose r = 4*r - t. What is the highest common divisor of w and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/5  (b) -1\/6  (c) 3  (d) -7  (e) -1\/4  (f) -1568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2748.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75509, -75507, -75505, -75503?\nAnswer: -75501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 6, -3 in ascending order.\nAnswer: -14, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 18 = i, 24 = 6*m - 10*i + 12*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 93 - 84. Let b(o) = -o**2 + 10*o - 13. Give b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18630 + 91241. Suppose 8*a - j = -1227. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -2\/31  (c) 0.162  (d) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -66*k**2 + 445452*k - 9197287 wrt k?\nAnswer: -132*k + 445452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 80025, 79990, 79931, 79848, 79741, 79610, 79455?\n\"Answer: -12*p**2 + p + 80036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 412187565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11753806 is divided by 470151.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(931) + 4) - ((sqrt(114)*4)\/sqrt(6) + 0)**2.\nAnswer: -292 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 4 = -4*f. Let m(y) = y**3 + 5*y**2 + 5*y + 3. Give m(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 80*g - 122. List the prime factors of i(34).\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-8) + (-25)\/(-4). Let p = -1755 - -1168. Let t = p + 595. Solve -7 = 3*s + 2*g, 2*s + j*g - 3*g = -t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 - (-124 - -8)) + 22 - 42.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jkk when three letters picked without replacement from {w: 1, n: 1, k: 2, j: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-4 + 5 + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 9*s - 2. Calculate q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 3073 = 23135. Suppose 14*s - s - r = 0. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -57*q**5\/5 + 16*q**2 + 6901*q + 3274. What is the derivative of d(v) wrt v?\nAnswer: -228*v**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1368)\/sqrt(2) + -5)**2 + 2*(sqrt(2299) + 0)**2.\nAnswer: -60*sqrt(19) + 5307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1013 + 18*q**2 + 917 + 2*q**3 - 5*q**3.\nAnswer: -3*(q - 4)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -6*j**2 + j + 1. Let o be m(-1). Let d = -4 - o. What is the least common multiple of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -867.9 - -868. What is the nearest to 3 in -0.4, -0.6, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32927952.\nAnswer: 2, 3, 31, 22129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 7. Let q be 144\/(-90)*(-5)\/2. What is the smallest common multiple of w and (-5)\/q - (-279)\/12?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6*4 + (-3 - -2) is divided by (-2)\/(-8) + 124\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -166378 times -6.1?\nAnswer: 1014905.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-4 + -6 + 12 - -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309783 is divided by 61154?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/2  (b) -9  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 420246 and 1332?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -48 + 3. Suppose 123*a - 189 = 120*a. What is the highest common factor of a and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -295, -583, -873, -1165, -1459, -1755?\nAnswer: -2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 2*i - 5. Let a be q(-6). Suppose -n - y = -56 - a, -n - 3*y + 68 = 0. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.17 + -0.87. Which is the nearest to -7?  (a) 1\/4  (b) h  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 s, 1 m, and 1 l when four letters picked without replacement from msglmwh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - 4*u + 4. Let v(s) = -2*s + 8. Let n be v(6). Let d be p(n). Solve -4*t + 2*t - 24 = d*q, t - 13 = 3*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8238, 16436, 24634, 32832, 41030, 49228?\n\"Answer: 8198*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 277391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 20\/8*4\/5. Let v be 0 + g + 27\/9. Let k(f) = 4*f**3 - 11*f**2 + 5*f - 5. Let n(b) = 2*b**3 - 6*b**2 + 3*b - 3. Determine v*n(a) - 3*k(a).\nAnswer: -2*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 108 + 200. What are the prime factors of c?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -4 + (910 - ((-34)\/(-187) + (-53)\/(-11))) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -248\/135 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 17*w**2. Let o(z) = 13*z**2. What is o(g(s))?\nAnswer: 3757*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 3*b + 2, -3*g + 9*b + 6 = 4*b. Let t = g + 8. Let l be 4\/t + (-36)\/15. Sort l, -2\/7, -0.5.\nAnswer: l, -0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from ffpfffffffofps?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**3 - 3*w**2 + w - 2. Let b be c(2). Is 6\/b*(-514)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 251 - 7b2?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -5. Let n(a) = 9 - 2 + a**2 - 7*a - 2. Let q be n(o). Let i(d) = -2*d - 1. Determine i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*b + 2, 0 = 4*i + 5*b - b - 8. Let u = 17 - i. Let s = -433 - -604. Calculate the highest common divisor of s and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 + 0.175.\nAnswer: 7.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/1 + (-2 - -4). Let o be (16\/(-24))\/((-2)\/93). Suppose -o = -m + x. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-547680)\/(-2100))\/(-326)*5\/(-552)\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 45, -17, 3, 4, 10 in increasing order.\nAnswer: -17, -2, 3, 4, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) - 1*(sqrt(252) + (sqrt(252)*2 - sqrt(252))))\/(1*sqrt(1296) - sqrt(1296) - sqrt(1296)))\/(5*(sqrt(400) - (sqrt(400)*-2*-5 + sqrt(400)))).\nAnswer: -sqrt(7)\/6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4  (b) -3  (c) 1\/12  (d) -3014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8233163674?\nAnswer: 2, 23, 499, 358681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 730406747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -499*-18.328\nAnswer: 9145.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 16850 = u + 16822, -5*a + u = 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 57948718859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 21260 * -5.7\nAnswer: -121182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -83256200 to the nearest 1000000.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**12\/((c**(-24)*c)\/c))**49 assuming c is positive.\nAnswer: c**1764","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3 = -12. Suppose 13 = i*b - 11. What is the smallest common multiple of 24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, c: 9, z: 7}. Give prob of sequence szz.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.6356 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 0 + -4 + 6. Let y be (-3 - r)\/(-5) + 97. Suppose 434 = 7*v + y. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 77375857, 77375858, 77375859, 77375860?\n\"Answer: v + 77375856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4964510\/(-431375) + 3\/(-50)*2*(-14)\/21.\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*l + 0 + 0)*(2 - 1 - 5) + 4 + 2*l - 3 - 3 as w + m*l and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -3*y + 108, 5*c - 10 = -y + 12. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.8423992l?\nAnswer: 842.3992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*q - 4*x + 28, -3*x = -3*q - 48. Let a be q - (-1 - (1 - 2)). Let z be (-8)\/(-28) - 164\/a. Calculate the highest common factor of z and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 divided by 6\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-2)\/2*22\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.7 + 8.7. Let o = 1751 + -1758.41. Let p = o + 7.71. Sort p, f, -4 in increasing order.\nAnswer: -4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**2 - 7*p - 2. Let o be v(7). Let d = o - -54. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**5 - 578*y**4 - 24208*y**3 - 166432*y**2 - 314880*y = 0. What is y?\nAnswer: -240, -41, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3a93 + -3?\nAnswer: 3a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (207 - 86 - 98 + 4*c**3)*(-2 + 2 - 4) - 5*c**3 + 0 + 0.\nAnswer: -21*c**3 - 92","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o**5 - 60*o**4 + 100*o**3 + 450*o**2 - 95*o - 390 = 0. Calculate o.\nAnswer: -13, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -6*u + 2*u + 5*r, 12 = 3*r. Suppose 3*k = -x + 7445, u*x = 5*k + 5*x - 12411. Suppose -5*s + k = 416. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*n**2 - 47171600*n = 0. Calculate n.\nAnswer: -9434320, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 5:23 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 10*h**2 - 13*h + 12. What is a(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3403*w + 1733*w + 1716*w.\nAnswer: 46*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - r + 5. Suppose 0 = g - 2*g. Let h be x(g). Suppose 0 = -t + h - 1. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(0 - 3\/4). Solve h**2 + 12*h**5 - 5*h**2 - 12*h**3 + 7*h**4 - 4*h**y + h**2 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 186367922 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*h**3*z - 24525*h**3 + 1163*h**2*z + 3*h*z wrt z?\nAnswer: -2*h**3 + 1163*h**2 + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 22*d. Let c(f) = f - 28. Determine s(c(o)).\nAnswer: 22*o - 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, w: 4, f: 1, o: 2, e: 3}. Give prob of picking 1 e and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100 (base 3) to base 10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 7 + 6)*(5 + 1 + 6)*(2*y**2 + y**2 + 0*y**2) as s + j*y + l*y**2 and give l.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fho when three letters picked without replacement from doodddohooooodoofod?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -9*w**2 - 190*w + 295298. Give b(-192).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/6*(-93)\/62\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -94 + 120. What is the highest common divisor of 26 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29045365 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18075 + 288743\/16. Let p = k - -3305\/144. Find the common denominator of 67\/24 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 143, -16, -1\/8, 12 in ascending order.\nAnswer: -16, -3\/2, -1\/8, 12, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32070 - 572617*r - 32070.\nAnswer: -572617*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1490.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 19 = 4*f - 2*h, 3*h + 1 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*h = -130, -s + 97 - 26 = 2*h. Suppose 482*l - 477*l - 2*n - 78 = 0, -30 = -2*l + 2*n. Calculate the remainder when s is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -34.000094 + 34. Round d to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*g**3 + 78*g**3 - 26*g**3 - 27*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of v**3\/3 - 4*v - 2. Let j be 2\/(-6)*(-9)\/1. Let s be f(j). What is the second smallest value in -4, 2\/19, s?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: d77 (base 15) to base 8\nAnswer: 5735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -2 + (-20 - -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -7*s. Suppose -5*f = -3*z - 485, 2*f + 4*z - 485 = -3*f. Let t(h) = -97 - 2*h + f - h. What is -5*t(w) + 2*u(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -268\/11285 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -317  (b) -3\/10  (c) 3  (d) 5  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6\/29, 12, 0.48.\nAnswer: -6\/29, 0.48, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 9+-155603051.49\nAnswer: -155603042.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugdgg. What is prob of picking 1 d and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.193 in 0.4, -1, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/43*(-3)\/((-18)\/(-12)). Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 145.1 - 144.4. What is the closest to 6.6 in 0.1, z, -0.4, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3310, -11174, -19038?\nAnswer: -26902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42\/5 - 299\/35. Let k = -975.8 - -980.8. What is the third smallest value in k, -2\/3, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 8*l**3 - 7*l**2 - 11*l - 3. Give c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y + 1. Suppose 6*v - 56 = 2*v. Let t be (-47)\/9 + v\/63. Let l(h) = -6*h + 3. What is t*c(u) + l(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2 - 3 + 0*r - 2*r + 5. Let h(q) = 7*q**2 + 2. Give h(z(l)).\nAnswer: 28*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 4:26 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -219 + 251. Is 1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*(i**(-1)*i)\/i)\/(i**6\/i))\/(i**(-16)*i*i)**10)**(-11) assuming i is positive.\nAnswer: i**(-1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16109 and -0.2?\nAnswer: -3221.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -80214 by -3.\nAnswer: 26738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 964 + 372?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zdddpzdpdzddbdzddzd. What is prob of picking 2 z?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -137499 (base 10) to base 6.\nAnswer: -2540323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5 + ((-2 + sqrt(180) + 2)*6 + -4 + -5)**2).\nAnswer: -39396 + 3888*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gdkgkjkkgtgdkggyy. What is prob of picking 1 j, 1 y, and 2 k?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - 22.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 10921 - 2921. Round g to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/23176 and 1\/11588?\nAnswer: 23176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 383 + -8045\/21. What is the nearest to -1\/7 in 0, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -577*a - 582*a - 743*a + 1903*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*z = -16*z - 224 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -126, 4, 260, -33, 2.\nAnswer: -126, -33, 2, 4, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, c: 3, m: 6, x: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11160 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -105, -182, -259, -336?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 4 + -4 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -144145054 (base 6) to base 13\nAnswer: -8106a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (261*j + 6378 - 6378)*(1 + 5 - 4)*(-j**3 - j**3 + 0*j**3).\nAnswer: -1044*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 3:59 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18462?\nAnswer: 2, 3, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10476077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2197, -4413, -6663, -8965, -11337, -13797, -16363?\n\"Answer: -3*u**3 + u**2 - 2198*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 700 = 191*f - 156*f. Calculate the highest common divisor of 64 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3\/182321?\nAnswer: -3\/182321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r**3 - 6*r**2 - 17*r**2 - 6*r**3 - 13*r**2 - 9*r**2 + 51*r**2.\nAnswer: -7*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 6) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 213 is divided by 49?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 72 - 23. Let p be 4\/(-12) - t\/(-21). Suppose -4\/7*x**3 + 2\/7*x**4 + 2\/7*x**5 + 0*x**p + 0 + 0*x = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 348 - 2. Let d = x - 68. Solve -d*l = -4*o - 18, 0*o + 3*o = 3*l - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 95*w**2 + 73. Let l(t) = 99*t**2 + 74. Let h(p) = -50*p**2 - 37. Let i(a) = -5*h(a) - 3*l(a). Let m(o) = 6*f(o) + 13*i(o). Differentiate m(g) wrt g.\nAnswer: -82*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 5*l + 3*d, -13*d + 12*d + 18 = -3*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 130, 3, -3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 9*c**2 + 10*c + 3. Let l be u(-1). Solve h - l*i - 1 = -4*h, -h - 9 = -5*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 + 8*p**2 + 9*p - 5. Calculate n(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48791648?\nAnswer: 2, 23, 66293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {h: 1, e: 3, r: 2, i: 2, d: 1, k: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7\/122907096 or -1?\nAnswer: 7\/122907096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 424326 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/36 - (26 + 272998\/(-10428)).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 11 times 239.1018\nAnswer: 2630.1198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1566 (base 7) in base 16?\nAnswer: 27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19370.02 + -19370. Which is the nearest to z?  (a) 2\/3  (b) 7  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14685\/220*(-2)\/6*-40 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20\/21 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -7*x - 3. Let v(s) = -28*s + 2. Calculate d(p) + v(p).\nAnswer: -35*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + -1. Let d be (-24)\/(-14) + 4\/14. Let q be -3 - -6 - 74\/26. Which is the biggest value?  (a) d  (b) q  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 283, 149, -7, -191, -409, -667?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 6*d**5 - 18*d**3 - 5*d**2 - 17*d. Let n(h) = 2*h**5 - 6*h**3 - 2*h**2 - 6*h. Let p(g) = 6*c(g) - 17*n(g). Factor p(z).\nAnswer: 2*z**2*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 9451494 and -3410459.\nAnswer: 6041035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) 3  (c) -0.026  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1777056991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2. Let a(r) = 68292257*r. What is g(a(v))?\nAnswer: 9327664732308098*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 354.387 + -354. Round d to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 46 + 10. Suppose 0 = 2*n - 20 - c. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k**(-1)))**(-2\/15)*k*k*k*k**(-2)*k*k*k**(-3\/5)*k assuming k is positive.\nAnswer: k**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1865 is divided by 680?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187 = -11*p + d - 94, -117 = 3*p + 10*d + 11 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*q - 54*q = 204. Calculate the greatest common divisor of q and 204.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 881371954?\nAnswer: 2, 19483, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -109*g**3 + 9*g**4 + 13*g**4 + 85*g**3 - 5*g**4 + 15*g**4 + 2*g as a*g**2 + h*g + i + s*g**3 + d*g**4 and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/60 and (-3 - (-392)\/50)\/(-1*2)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g - 8. Let v be i(-12). Let p(k) = 2*k - k - v*k + 4*k. Let m(a) be the third derivative of -a**4\/4 + 133*a**2 + 1. Calculate m(p(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8307 and 117221?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56, 1, -1, -3.\nAnswer: -3, -1, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -12*p - 341. Calculate s(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12b + -4?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-225 - 394 - 249)*(22*m - 11*m + 2*m) - m + m + 2*m in the form r*m + z and give r.\nAnswer: -11282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of -5*f**3\/3 + 34*f. Let k(r) = -r**2. Calculate k(p(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/486 and 59\/7587?\nAnswer: 136566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 48*r**3 + r**2 + 2. Let u = -148 - -150. What is the tens digit of s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -57  (b) -2\/7  (c) -0.1  (d) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 3*d**2 - 3*d - 3. Let f be z(-3). Calculate the smallest common multiple of 4 and (-75)\/f + 6\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -24256003\nAnswer: -4\/24256003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37566.\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 385918 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9395\/54 - -174. Let l = g - -1\/27. Find the common denominator of l and 4\/6 + (-526)\/(-84).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5739*r - 372. Let w(s) = -80345*s - 5115. Let l(c) = -55*k(c) + 4*w(c). Let j(q) = 2*q**2. What is l(j(u))?\nAnswer: -11470*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1143 times 4.0067\nAnswer: 4579.6581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*(6 + -2)\/(-4). Suppose v = 9*o - 5*o - 20. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*u - 5*u + 0*u)*(3*u - 2 + 2) - 20*u - 2 - 3*u**2 + 20*u + (3*u**2 - 5*u**2 + 0*u**2)*(-5 - 9 + 1) to the form j*u**2 + g*u + w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 27\/2 + (-2)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**3 + 52*m**2 - 431*m + 1062. What is l(-33)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert a943 (base 12) to base 3.\nAnswer: 221112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88632476 is divided by 22158112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 204 and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-27)\/21 + 3 + (-4)\/(-14). Suppose -s*m = m - 15. Solve -3*r + m*l = -14, -2*l = -0*r + r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -115 + 122 - (0 - 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from npinnpmndpnn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 6*u + 4. What is the least common multiple of b(3) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79016128 is divided by 3474.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45675743 divided by 4.\nAnswer: -45675743\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-446)\/(-30) + 4\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-24)\/(-228) + 655\/95. Calculate the greatest common factor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of 1 - 29\/4*n**4 + 2*n + 0*n**6 + 0*n**2 + 0*n**5 + 0*n**3 + 43\/42*n**7. Find the third derivative of s(h) wrt h.\nAnswer: 2580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000012551 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -74 - -81. Let l be 25\/2 + s\/(-14). Solve -3*q = -6, -4*k - l = -8*k + 4*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*u - 346*u = -3711 - 3749 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -4208*s + 127910. What is m(30)?\nAnswer: 1670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 216*t - 1747. List the prime factors of q(43).\nAnswer: 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -5*f - 64 - 4*f + f**2 + 3*f + 6*f + 5*f. Let k be t(-11). Sort k, -3, 14.\nAnswer: -3, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9332718 and -86?\nAnswer: 802613748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of y**5\/12 - y**4\/3 - y**3\/2 - y**2 + 104. Let p(z) = 26*z**2 - 40*z - 16. Determine 3*p(d) - 16*q(d).\nAnswer: -2*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6500 and 52250?\nAnswer: 1358500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c + b - 2 = -9*c, -3*c + 3*b + 21 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7063*q**2 - 34*q + 7082*q**2 - 14107*q**2)*(-q + 1 - 1).\nAnswer: -38*q**3 + 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.46925789 rounded to 0 decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s**2 + 978*s**4 - 1091*s**4 + 3 - 2 to the form u*s**4 + o*s + v + a*s**3 + y*s**2 and give u.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1 - -23) + (-96)\/(-16))\/2. Solve m = a*m + 39 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1419*p**3*z - 1254*z wrt p?\nAnswer: -4257*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*x - 3 + 6 - 3 as m + p*x and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 0 - (19 + -22)) + -26\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*v**3 + 29*v**2 - 29*v**2 + (-2*v**2 - 2*v**2 + 3*v**2)*(v - 4*v + 2*v).\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13812, -13804, -13796, -13788?\n\"Answer: 8*g - 13820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 130778 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -3*t - 12. Let c = 62 + -67. Calculate m(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 7:53 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 963.0983 millimeters in meters?\nAnswer: 0.9630983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7447\/805 or 9?\nAnswer: 7447\/805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8 + -3)\/(1\/67). Is (f\/(-22))\/(3\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 59*a - 49*a - 150 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 - 13*g + 7. Let a be w(11). Let o be 4\/16 + a\/12. What is the nearest to 1 in o, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 580 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(1 - -1) - -86. Let u = 29 + -26. Suppose -j - u*a = -35, -2*j + c = a + 7. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u - u + 8*u)*(-2*u - u**3 + 2*u) + 3*u**4 + 0*u**4 - u**4 in the form v*u**3 + m + n*u + l*u**4 + c*u**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o + 5*o - 5. Let l(d) = -d**2 - 7*d - 14. Let h be l(-2). Sort 2, o, h.\nAnswer: h, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -0.1  (c) 1507  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -931930526 take away 2?\nAnswer: -931930528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 505374826 to the power of 1\/2, to the nearest integer?\nAnswer: 22481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**2 - u**2 + 3*u**2)*(-3 - 3 - 1)*(-2 + u**2 + 2).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -15*o**4 + 223\/3*o**3 + 8\/3 - 350\/3*o**2 + 164\/3*o = 0.\nAnswer: -2\/45, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of k**4\/6 + k**3 - 304*k**2 + 3229*k. Factor t(w).\nAnswer: 2*(w - 16)*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 7*a + 12. Let b be g(9). Let m = b + -12. Calculate the remainder when 34 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 327, 639, 953, 1269, 1587, 1907?\n\"Answer: q**2 + 309*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-four ninths of a day?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3*l + 2*w + 6, l - 2 = 4*w. Suppose 2 = -3*r + l*r. Let f(p) = 2*p**3 + 4*p**2 + 2*p. Calculate f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -121, 20, 11 in descending order.\nAnswer: 20, 11, 5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of -2*c**5\/55 - 1007*c**4\/66 + 84*c**3\/11 - 2789*c. Let x(l) = 0. Calculate l.\nAnswer: -252, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 3336372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of u**3\/3 - 2. Suppose 5*y = -83 + 98. Let l(i) = -4*i - y*i + 6*i. What is b(l(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23856 and 81792.\nAnswer: 572544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 349.791 and -84.\nAnswer: 265.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -57b77dd?\nAnswer: -57b7803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t*t**(-3)\/t*t)*t*((t\/(t\/(t\/(t**3*t))))\/t)\/t*(t*t**(-2\/33)\/t)\/((t**(1\/28)\/t)\/t*t*t*t) assuming t is positive.\nAnswer: t**(-1937\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/224 and -119\/48.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 + 12*n - 17. Let c be r(-14). Solve 5*x + 9 + c = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 5:35 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 31705494241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 13, z: 2, i: 3}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6\/(-3)*670\/(-4) is divided by (0 - (-4)\/8)\/(28\/3136).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -3*x**2 - 15*x + 5. Let v(b) = -8*b**2 - 42*b + 14. Let c(t) = -14*i(t) + 5*v(t). Let a(q) = 294*q. Give a(c(r)).\nAnswer: 588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*(1 + sqrt(3) - sqrt(3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2992 - 2618 = 330*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m*m*m**(2\/43)))*m*m\/m**(3\/8)*m*((m*m*m**(-25))\/m)\/(m\/(m\/(m**(3\/4)\/m))))**35 assuming m is positive.\nAnswer: m**(-229705\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7758895 is divided by 104?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1903754 (base 10) to base 15\nAnswer: 27911e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1098953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*h**2 - 33*h**3 - 242 + 242 wrt h.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 750786.4 millilitres to litres.\nAnswer: 750.7864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 70*c - 2393. Give q(35).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - 135*t**2 - 241*t + 2787. Calculate f(-133).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 4*y + 3*y - 7)*(2*y**2 + 7*y - 7*y + 6*y**2 - 4*y**2 - y**2 + (0*y - 4*y + 2*y)*(-2*y + 2*y - y)).\nAnswer: 35*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.12358 * 0.451\nAnswer: -0.05573458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -5*t - 4. Let g be 0\/(1 + 0 + 1). Let v be -7 + (-3 - (g - 2)). Is 18 a factor of h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 11, b: 5}. What is prob of sequence be?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1425172, 2850348, 4275524?\n\"Answer: 1425176*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 442533, 885132, 1327731, 1770330, 2212929, 2655528?\n\"Answer: 442599*i - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -475.2 and -1225.\nAnswer: -1700.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2819 * -2464\nAnswer: -6946016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-25)\/175 + 1 + 477\/7. Is t greater than or equal to 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6185 + -0.1.\nAnswer: -6185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1734669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12531083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.65 and -1728.\nAnswer: -1727.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8760 and 0.07.\nAnswer: -613.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 9 = 3*n, -2*j - 5*n - 4 = 12. Let t be (222\/1)\/(j\/2). Let p be (-50)\/(-4)*2*t. Round p to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-2\/15)\/v)**(2\/105)*v\/(v\/(v\/((v\/(v\/(v\/v**0)))\/v*v))*v)*v\/v**(5\/6) assuming v is positive.\nAnswer: v**(-2633\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3586, -7175, -10754, -14317, -17858, -21371, -24850?\nAnswer: -28289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, v: 2}. What is prob of picking 2 v and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 7*g + 36 = 0. What is the units digit of 116\/g + -1 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26120 divided by -4.\nAnswer: 6530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.034098211 to two decimal places.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-190 + 14*s + 190)*(s + 0*s + 0*s) + (-7*s - 4*s + 2*s)*(0 + 0 + s) as t + i*s + p*s**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-1\/4)*i\/(i\/i**(-5))*i**3\/((i*i**5*i)\/i))\/((i**(-1\/4)*i*i)**(1\/4))**32 assuming i is positive.\nAnswer: i**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 108?  (a) 0.2  (b) -1  (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 = 4*y + 12*y - 3*g, 0 = -3*y - 33*g + 30*g - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zttz when four letters picked without replacement from tzzt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14141, 28281, 42421?\nAnswer: 56561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 5461716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.99 + -0.99118. Round z to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -5*z**3 - 2*z**2 - 2*z - 1. Let h be d(-2). Suppose -h = 3*a - 209. Calculate the remainder when a is divided by (-232)\/(-12) - 4\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*(t*t*t\/t**(-2\/7))\/t*t)\/t)**(9\/8)*(t\/t**0*t)**36 assuming t is positive.\nAnswer: t**(2151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 5*o = 3, 35*n + 3*o = 31*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = 5*p - a, 115*p + 19 = 118*p - 5*a for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 340418648 to the power of 1\/2, to the nearest integer?\nAnswer: 18450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1744 (base 9) to base 13.\nAnswer: 7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10552639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9c8 + -45?\nAnswer: -a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 - 7*g**2 - 18*g + 100. What is s(6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*x**3 + 14*x**3 + 53*x**3 + 32*x**3 - 204*x**3.\nAnswer: -95*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a + 7*t = 49 + 250, -a + 2*a - 3*t - 21 + 3 = 0 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -578*s**5 - 98*s - 3 wrt s?\nAnswer: -11560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20844 by -4.\nAnswer: 5211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w - 6. Let t be m(-3). Let g = 2 - t. Suppose -g*s + 32 = -s. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26\/335 - 6584\/93465. Are v and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -234  (b) -0.4  (c) 5  (d) -182  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13791199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o\/(o\/o**(-1)))*o**(-1\/4)\/o*o\/o**(1\/10)*o**(-3\/4)\/o assuming o is positive.\nAnswer: o**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19364 and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -7*j**4\/24 - 7*j**3 - 9*j**2 + 7*j. Determine z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from nuwnnrnu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from {o: 4, x: 6, m: 9}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -78 - (-76 - -89 - 59)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 22440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-5820)\/20079)\/(10\/18)\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t**3 - 3*t**3 - 10*t**3 + (0*t - 2*t + 5*t)*(0*t + 2*t - 3*t)*(-2*t + 6*t - 2*t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 1875.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9411 divided by 1\nAnswer: -9411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 903 and 1\/(-2) - (-15)\/5*5\/10.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 57, 63, 93, 159, 273?\n\"Answer: 2*i**3 - 8*i + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1048 + 1108. Calculate the lowest common multiple of n and 432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 + 164\/3. Let j = y - 0. Let w = 3\/8 + -7\/8. What is the nearest to 0 in w, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 3*u**2 + 2*u + 3. Let k be o(-3). Let b = 11 + -17. Let n = k - b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01621723263 to five dps.\nAnswer: 0.01622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -477*u**2 + 2517*u - 2446. Calculate o(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3.1, 0, -0.5, 12\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*x. Let o = x + 1. Is -2\/11 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 490 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**5\/9 - 44*y**4\/9 - 2*y**3\/3 + 256*y**2\/9 + 349*y\/9 + 44\/3 = 0 for y.\nAnswer: -1, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 3*o**2 - 9*o - 17. Let g be s(-4). Solve 5*u + 31 = -2*v, 7 = -2*u - g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 94 + 11 = 0. Is (-2387)\/g - 2\/10 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357528 = -12323*w + 2830*w - 48273 - 40370 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -7*y + 4. Let p be w(2). Let u = 107 + p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/28?  (a) -2125  (b) 3\/5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71393154?\nAnswer: 2, 3, 7, 1699837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 7:01 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**3\/5 - 2*b**2 + 12*b\/5 = 0. Calculate b.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12403562 is divided by 1127595?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 - 358*o + 720.\nAnswer: -(o - 2)*(o + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269682 is divided by 653?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gquug. Give prob of sequence qgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 84369 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0342858701 rounded to 4 dps?\nAnswer: -0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*w**2 - 41 - 10*w**2 - 125*w**2 - 6*w**2 - 19.\nAnswer: w**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 4*s - 72. Suppose 0 = 2*h - 345 + 57. What is the greatest common divisor of s and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14909 is divided by 649.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 3*v - 7, -13 = -4*m - v - 0*v. Let p(i) be the second derivative of -i**3\/3 + 11*i**2 - 7*i. Let n be p(9). Put m, 6, n in descending order.\nAnswer: 6, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -111 - 7. Let p = 361 - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3544 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -3) + 42 + -81 + 32 + -1 + -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45, -98, 4, 2, 3, 0 in increasing order.\nAnswer: -98, 0, 2, 3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 103*o**2 - 185*o + 8440. Determine a(104).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 5*v = -2*z + 17, 0 = 5*z + v - 5. What is the second derivative of -3 + 0*u**2 + 3 - 6*u**z - 7*u wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -82?  (a) 2  (b) -6\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 + 12*s - 9. Let v be f(-11). Is v at most as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -657 + 2*i + 0*i - 17*i + 3*i + 7*i to the form j + z*i and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4037 * -9.\nAnswer: 36333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -14 + 88 + -29.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -1403*l - 2944. Let u(f) = -23*f - 48. Let g(q) = -3*h(q) + 184*u(q). Let j(r) = -9*r. Determine g(j(o)).\nAnswer: 207*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11670 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 10*a**2 + 10*a + 3. Let b be k(-7). Suppose 0*y = 4*y - b. Suppose -2*c + y = 2*c. Solve c*z + 12 + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4188*g + 23*g**3 - 4055*g + 8243*g.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.058 + -0.258. Sort -0.08, -2, -4, k in decreasing order.\nAnswer: -0.08, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - -162 - (5 + -4)\/1. Suppose 18*r - 2104 = -y. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -5*g - k + 28, 5*k = -5*g + 60. Find the first derivative of 3*r**4 + g - 2*r**4 - 13 wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 + 3*o)*(-4 + 0 + 2) - 4*o - 3 + 3 - o + 2 - 2 as w + m*o and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -5. Let m(q) = q. What is -a(u) - 2*m(u)?\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1150284385 to the nearest integer?\nAnswer: 33916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -65*v**4 + 209*v**3 - 222*v**2 + 79*v - 12. Let l(t) = 22*t**4 - 70*t**3 + 74*t**2 - 26*t + 4. Let p(r) = -11*l(r) - 4*z(r). Factor p(m).\nAnswer: 2*(m - 2)*(m - 1)*(3*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2890, -2892, -2894, -2896, -2898, -2900?\nAnswer: -2902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1612 is divided by 74.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + -1011011111010?\nAnswer: -1011011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 3*j + 3. Let z be ((-2)\/(-6))\/(1\/j). Find the second derivative of -3*c**3 + z*c**4 - 2*c + 4*c**3 - c**3 wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 41. Suppose f*v - 3 = -15. Let o(i) = i**3 + 4*i**2 + 2*i + 2. Let b be o(v). Solve 5*l + 5*g - 4 = -39, -b*l - 29 = 2*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 + 4 = 10*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 67. Let b = 67 + l. Suppose k - b*f - 40 = -k, 4*k + 3*f - 28 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -205?\nAnswer: 4\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 3319995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 204344 divided by -4?\nAnswer: -51086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**3 - 5*v**2 - 3*v + 1. Let y be w(3). Let b be (-30)\/5*y\/8. What is the third smallest value in -0.5, b, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.868 + -4.768. Which is the closest to y?  (a) -3.78  (b) -1\/6  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 5*f - 4*f. Suppose -f*c = -60*c + 17388. Is c a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 8*b + 173. Let a(n) = 3*n + 86. Determine 5*a(l) - 2*y(l).\nAnswer: -l + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 255966 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4*y**2 - 16*y + 1. What is the tens digit of m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -10, -3, -15, 87 in decreasing order.\nAnswer: 87, -0.4, -3, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*v = 6*t - 85, 0 = -4*t - 3*v + 69. Let l = 16 - t. Does 13 divide (0 - (-202)\/(-4))*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2123*a + 82815. What is i(39)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42384?\nAnswer: 2, 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 11125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 45*c - 3. Let h(k) = 13*k - 60*k + 34*k + 15*k. Give h(w(g)).\nAnswer: 90*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94, -181, -318, -499, -718?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(3\/4)*j*j**0*(j**(-1\/3))**(-49)*(j*j**(-1))**(2\/17)*(j\/(j\/(j\/j**1)))**(-1\/40) assuming j is positive.\nAnswer: j**(217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21 - 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6 - 2*(-2 + 4). Suppose -5*x + 1 = z*k, 0 = -5*x - 5. Suppose 9*l - 6 = 7*l. What is the remainder when l is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 13*u + 315. Let n be y(-24). Let g(a) be the first derivative of -4*a**2 + 13\/4*a**4 + 0*a + n + 0*a**3. Find the second derivative of g(p) wrt p.\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.19, 0, 2 in increasing order.\nAnswer: -0.19, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 56  (b) 4  (c) -452.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a78ad4 (base 14) to base 4.\nAnswer: 302112312102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6627 (base 9) in base 2?\nAnswer: 1001100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 582760754?\nAnswer: 2, 31, 149, 199, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25443778 to the nearest integer?\nAnswer: 5044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 3050 divide 125451517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mdmm when four letters picked without replacement from dvjmmaavdaaaamjjjd?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -38436, -38435, -38434, -38433, -38432, -38431?\n\"Answer: z - 38437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) -937  (c) -14  (d) -1\/12  (e) 0.2  (f) -2\/7  (g) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 10*l + 10. Let t be j(10). Suppose -5*r + u - 4*u + 2880 = 0, 0 = -2*u + t. What are the prime factors of r?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369 + 353 + 374 - x - 1837 + 373 + 368.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7174 + -215267\/30. Let k = 9\/10 + c. Sort -3, 0.5, k.\nAnswer: -3, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3395201639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -2*l - 2, -2*l + 0 = -5*p + 2. Let q be p\/((1 + 1)\/1). Let d be 12\/9*(-4)\/16. Is d bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 892248 is divided by 222.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90) + sqrt(90)*3)\/sqrt(5))\/sqrt(6).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/4 and -13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-14))\/((-167970)\/78386)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -30  (b) -0.249761  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -7*m - 25*m - 116*m + 13. Let b be n(-9). Calculate the common denominator of (-2)\/12 + b\/(-120) and -65\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 3381  (c) -284\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1173 - -1310. Suppose -4*s + 7*s - 5*r - 169 = 0, -2*s + r + 101 = 0. Calculate the remainder when n is divided by s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1040 by 1040.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4676 + -3337. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1633*q - 9887*q + 214604 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76339086.\nAnswer: 2, 3, 2179, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 a, and 1 f when three letters picked without replacement from hfstsfta?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/210 and -38\/105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -y - 15*y + 0*y + (-5*y - 2*y - y)*(5 + 3 - 3) in the form c*y + t and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of -f**2\/2 + 3*f - 13. Let a be m(-6). Find the third derivative of -1 + 1 - 7*w**3 - a*w**3 - 17*w**2 wrt w.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**(-1\/2)\/b)**(-17))**33)**(-49))**(-43) assuming b is positive.\nAnswer: b**(3546081\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5502 - -5501.99. What is the closest to m in 5\/3, -1, 54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((1 + sqrt(175) + -3 - sqrt(175))*-1 + (2*sqrt(175) + 4)*-6).\nAnswer: 66 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33 - (-8 - 91)) + (-4 - (9 + -4)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, o: 1, b: 1, x: 1, r: 1}. What is prob of sequence xbf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 100*u**2 - 49*u**4 - 100*u**2 + (-u + 4*u - u)*(-3*u + u**3 + 3*u) + (0*u**3 - u**3 + 0*u**3)*(0*u - u + 0*u).\nAnswer: -46*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 989932335454909 + 7*d - 989932335454909.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.2  (b) -5\/7  (c) 2\/5  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/14*10*(-3)\/(-30)*37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d - 3. Let u be w(5). Suppose -36909019 + 2909019 = -u*q. Round q to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 744510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -401*u**2 + 12428*u + 95. Calculate s(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68307 + -61714.9. Round u to the nearest one hundred.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 999*i - 254*i + 182*i + (0 + 1 - 3)*(-2*i + 3*i + 0*i) + 3*i - 3*i - i to d + u*i and give u.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {u: 3, m: 3, w: 1, f: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**5 - 6*w**4 - 15*w**3 + 18*w**2.\nAnswer: 3*w**2*(w - 3)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 36  (b) -3937  (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, b: 4, p: 10, z: 2}. Give prob of picking 1 p and 1 b.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*t - 5 + 3 + t - 2*t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26 and 3051698?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 695, 613, 515, 395, 247?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5) + 146\/10. Suppose 5*b - 4*z - i = -3*z, -b = 5*z - 3. Suppose 0 = 3*y + 5*n - 14, b*n - 7*n - 2 = -2*y. Solve p = -y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48 - 45) + 0 + 23 + 5 + -5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 - -15. Suppose -4*l = 4*c, -4*c = 5*l - 4 - v. Let s be ((-4)\/c)\/(1\/10). Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 2*d + 229*t = 226*t - 18, 283 = -28*d - 5*t for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4\/21 - 194*t**3\/21 - 104*t**2.\nAnswer: -2*t**2*(t + 13)*(t + 84)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 8*u - 6. Let h(r) be the first derivative of -2*r - 1\/3*r**3 - 12 + r**2 + 1\/4*r**4. Let l be h(2). Calculate p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 5173*d + 5173*d + 9*d**4 - d**2 to the form y*d + j + i*d**4 + s*d**3 + l*d**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + m = -4*m + 6, 0 = 5*m. Let w(s) = -s**2 - 4*s + 3. Let k be w(-4). Let b(o) = -o + 5. Let z be b(k). Solve j = -4*a - j + z, a = -4*j - d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 - 35. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 13*o**2 + 12*o + 20. Calculate r(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 256874 = 4*x - 3*b, 5*b + 210060 - 81616 = 2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c*c*c*c\/c**(-11\/6))*c\/((c\/(c\/(c\/(c*c**(-11)))))\/c*c*c)*c*c*c assuming c is positive.\nAnswer: c**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 40397048 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101110011101101 (base 2) in base 12?\nAnswer: 28891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 8*y**2 + 6*y - 10. Calculate i(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 629 divide 773412410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 3:28 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -2010?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 7. Suppose -3*w + 9 = 0, 11 = 2*f + 2*f - h*w. Suppose 2*g + 2*c - 149998 = 3*g, -g = f*c + 150005. Round g to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16095 and 15.\nAnswer: 16095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 - 40. Let c be y(0). Let t = c - -182. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 - 8*w + 5. What is o(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m**2 - 13*m**2 + 6*m**2 + (-2 + 3 + 1)*(m**2 + 2 - 2).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.22 - 3.78. Let p = 0 + 3. What is the nearest to 0 in n, 15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - -2) + 3 + -1. Suppose -2*y + 4*w + 26 = 0, -41*w + 45*w = -3*y - 1. Solve q = -4*t + y*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.16223 - 0.162189654. What is a rounded to 7 dps?\nAnswer: 0.0000403","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 26) + 8 + (-5 - -11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, h: 7, j: 2}. What is prob of picking 1 h, 1 s, and 2 j?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 14928146.1ns in weeks?\nAnswer: 0.00000002468278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 11, z: 9}. Give prob of picking 1 z and 2 g.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 3*b + 7, 3*b - 1 = 2*b. Let g = j - 0. Let v = 8\/45 - -2\/9. What is the smallest value in v, 2\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-86)\/((-3096)\/5292) - 230\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6520969 to the nearest integer?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = f + 15, -2*d - 20 = -7*d + f. Suppose 3*c = 2*j, -2*j + j + 13 = d*c. What is the units digit of c*27\/6 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -232*i - 138*i - 123*i - 19*i.\nAnswer: -512*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l - l - 8234*l**2 - 36 + 3*l + 34.\nAnswer: -8234*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*p = -44*p + 76650. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ucucuucuknuuc. What is prob of picking 1 n and 2 c?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 440042 (base 6) to base 12.\nAnswer: 19022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4153.2400206 and 7.34.\nAnswer: 4160.5800206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 3:36 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2471?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + -34. Let l be 4 - (f - -4)\/(-1). Solve 4\/3*p**3 - p**l - 2\/3 - 3*p = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16475731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + 32000002 = 5*u + 4*n, -25600001 = -4*u + n. Round u to the nearest one hundred thousand.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67402, 269797, 607118, 1079365, 1686538?\nAnswer: 2428637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {i: 1, v: 4, m: 1, q: 3, c: 3, h: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 6:19 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express q**4 + 1278*q + 84 - 1282*q + 23 in the form p*q**2 + k*q**4 + r + m*q**3 + x*q and give r.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 10 + 10. Solve c = -4*y - 1 - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -19. Suppose 6735 = a*f - 0*f. Suppose 4*w + w - f = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65*h - 62*h + h**4 - 27 + h**2 - 2*h**2 + 131*h to y*h + b*h**4 + o*h**3 + d + q*h**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 157, -0.6, -146 in decreasing order.\nAnswer: 157, -0.6, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 494149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - 156.3. Let r = o + 154.93. Let v = -0.07 - r. Which is bigger: v or -5\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -2*d**5\/105 - 9*d**4\/7 + 16*d**3\/9 + 18*d**2\/7 - 110*d\/21 - 373. Suppose c(g) = 0. Calculate g.\nAnswer: -55, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s\/((s\/(s**(4\/9)*s))\/s))*s*s**(3\/28) assuming s is positive.\nAnswer: s**(-85\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 59 - 235\/4. Suppose -15 = -3*j, -31 = 3*f - j - 4*j. Let w be 12\/8*f + -1. Put w, 3\/5, a in decreasing order.\nAnswer: 3\/5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/8 + (-5)\/10. Suppose -19*o + o + 36 = q. Solve -u + 3*u - o = 0, -w - 4*u + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nfo when three letters picked without replacement from oofnbof?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ckxccxkccqqcq. Give prob of picking 2 x.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j - 4. Let t(v) = -v**3 + 7*v**2 + 8*v - 3. Let p be t(8). Let w be u(p). Suppose w = -g + 24. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-22)*u*u)\/u*u*u**28*u assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 0, 3, 94 in increasing order.\nAnswer: -4, 0, 2, 3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 11 + 5 + (3 + 2 - 6)*(7 + 1 - 1))*(f + f - 6*f) + 5 - 5 - 4*f in the form n*f + z and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(128))*4 - ((sqrt(128) - ((1*sqrt(128) + sqrt(128) - sqrt(128)) + -4)) + sqrt(128) - sqrt(128) - sqrt(128)))*4*-3)**2.\nAnswer: -46080*sqrt(2) + 463104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 8*m + 990. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -155 - -904. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.6, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 2, -4, -5.\nAnswer: -5, -4, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-9) + (-210565)\/(-360). Let l = -583 + g. Let a = 50891\/12 - 4251. What is the common denominator of a and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 13*o**3 + 5*o + 4. Determine f(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1284 + -17937\/14. Find the common denominator of c and 45\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 7\/5  (c) -6  (d) -4  (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000004740629 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.14 + 0.36. Which is the second smallest value?  (a) 5  (b) -2\/11  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40282*s**2 + 3*s**3 + 40282*s**2 - 2*s**3 - 80564*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-4*(-49)\/(-84)))\/(10\/630)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/6*297\/(-990)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 258629818*p**2 - 248439163 with respect to p.\nAnswer: 517259636*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of 13*c**3\/6 + 15*c**2\/2 + 150*c - 1. Determine t(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -750*g**2 - 676*g**2 + 408*g**2.\nAnswer: -1018*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1522 = -17*z - 11194. Find the common denominator of -39\/7 and (z\/120 - -5) + -1.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1794636254007.000006123 - -1794636255859. Let n = -1852 + a. Round n to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (4 - 0 - -2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + 15*x - 4. Let u(o) = -o**2 - 15*o + 5. Let i(r) = -4*s(r) - 3*u(r). Calculate the remainder when i(-11) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 102 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaasaa. What is prob of picking 1 s and 3 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + -18. Suppose -5*k = -2*o - 1, -2*o - q*o + k = -9. Solve 1 = o*m - 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35210 less than 35210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 8*w + 252. Let h = w - -73. Calculate the remainder when h is divided by 4 + -3 + 20\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.2 in -0.1, 0.4, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3242 - 3210. What is the lowest common multiple of 1584 and w?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2112 + -4?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4466, 8904, 13310, 17678, 22002, 26276?\n\"Answer: -u**3 - 10*u**2 + 4475*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -2  (c) -9  (d) 0  (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - a + 3*a)*(2 + 3 - 4) + 2 + 624*a - 1234*a + 617*a.\nAnswer: 9*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 10\/9  (b) 4  (c) 1\/4  (d) 6\/7  (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.64 - 0.12?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10041004 (base 5) to base 3.\nAnswer: 11002202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -537 + 401. What is the units digit of (-215900)\/y + 1 + (-1)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59589.23 weeks in seconds?\nAnswer: 36039566304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 12288\/3456 - (-2626)\/117\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 27.4 - 0.06\nAnswer: 27.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 7 - (-18 + 25 + -24 + -16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-168)*55\/(-7425)*-9.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -b**6\/30 + 5*b**5\/6 + 103*b**4\/96 + 13*b**3\/24 - 6*b**2 - 10. Factor h(i).\nAnswer: -(i - 13)*(4*i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -166528621\/32461 + 66689\/13. Let w = s + 2\/227. What is the second biggest value in w, -0.1, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -78*h + 40*h + 35*h + 2. Let t(s) = 8*s - 8. Let v(r) = 7*r - 7. Let l(d) = -4*t(d) + 5*v(d). Determine 4*l(i) + 6*o(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*g**2 + 44*g - 20*g - 29*g**2 - 19*g**2.\nAnswer: -14*g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 20, -2.1, 0.639684?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - (-418)\/46 - (-20)\/(-230). Put 4, m, 0 in decreasing order.\nAnswer: m, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**2\/7 + 30824*h\/7 + 59382436\/7 = 0 for h.\nAnswer: -3853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/72*3)\/(1\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7013417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 271878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 + 24)*(-c - 2*c + 4*c).\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + f**2 + f + 1. Suppose -4*r - 2*r = 0. What is u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48851540 to the power of 1\/2, to the nearest integer?\nAnswer: 6989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*y = -2*k + 164*y + 20, 2*k - 3*y - 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -8236\/1987?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -155*v**3 + 473*v**3 + 533*v**3 - 64*v**3.\nAnswer: 787*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224 is divided by 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13339 is divided by 218?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/107 - -211\/321. Which is the third biggest value?  (a) -1  (b) m  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2 - 264*x + 31860.\nAnswer: -(x - 90)*(x + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, q: 1, j: 6, g: 6, b: 3, f: 1}. What is prob of sequence gbuq?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-5) - (-69)\/15. Suppose 4 + z = -2*s, -4*s = -c + 19. Let a = 12 + -4. What is the remainder when a is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*l**2 + 61*l**2 + 76*l**2)*(l + 1 - 1)*(-2*l + l - l).\nAnswer: -232*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 + 9*h - 11. Let s be n(-8). Let x be (-3)\/(-4)*24\/s. Let v be (-2 - 0) + (-3)\/(-2). Sort x, v, 4 in descending order.\nAnswer: 4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1547 and 14222.\nAnswer: 1692418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 258 - 191. Let l = -66.7 + f. What is the nearest to 0.05 in l, -3, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*q - 21*q = 24. Solve 6*m - 12 = q*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -222342 (base 5) in base 6?\nAnswer: -100155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20939000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 + -32. Suppose -3*w = -2*w - j. Let a(o) = o**2 + 5*o - 22. Let s be a(-9). Is w smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of w**8\/1344 - w**7\/120 + w**6\/60 + w**5\/15 + 6*w**2 - 3. Suppose i(r) = 0. Calculate r.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b - 9. Let p be c(-11). Suppose p = -v + 5. Solve 3*s - 3 = -5*r - 0*r, -v*s = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2044 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + (-5 + 13)\/(-2). Solve 0*a = a + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 85 - (-61 - 0) - 66.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - -0.398\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10672307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j - 25. Let v be d(-27). What is the nearest to -2 in 1\/5, v, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17580131.\nAnswer: 31, 567101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -45709 and -5434808636?\nAnswer: 5434762927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 362, 12, 19, 1, -3, -7 in descending order.\nAnswer: 362, 19, 12, 4, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -245 (base 7) in base 4?\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*j + 109 + 7*j + 7*j - 250 + 6*j + 141.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 89078421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 3*u**5\/2 + 417*u**4\/2 + 7833*u**3\/2 - 20373*u**2\/2 - 31296*u - 17400 = 0.\nAnswer: -116, -25, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2405 * 5\nAnswer: 12025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1055567665 less than -0.1895?\nAnswer: -1055567665.1895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 317560589 - 653680589. Round i to the nearest one million.\nAnswer: -336000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 8*c**2 + 6*c + 8. Let n be l(-7). Solve v = -5*h + n, -v - 5*h + 5 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from coyyogcwosyccys?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*n + 49 + 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(612) - sqrt(612))*-3 - (3 + sqrt(272)*-2).\nAnswer: -3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15 and 966895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111101011100100001101 (base 2) in base 6?\nAnswer: 224034325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-273)\/(-1820))\/(3\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -194215?  (a) 0.4  (b) -2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 158 - 102. Let s(a) = a**2 + 7*a - 5. Let k be s(-8). Suppose -f = -k*z + 97. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 6*p**2 - 6*p + 17. Let c(s) = -s**2 + s - 1. What is 5*c(z) + w(z)?\nAnswer: z**2 - z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/9 and 50\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.3 - -0.7. Let d = u + 0. Let a = 6 - 6. What is the smallest value in a, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 6805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -3*z**4\/4 - z**3\/3 - z**2\/2 + z + 915. Let u(q) = 2*q**3 + q**2 + q - 1. Determine -3*d(n) - 2*u(n).\nAnswer: 5*n**3 + n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 526, -58, -642?\n\"Answer: -584*m + 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 1 + -129 + 149\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 48388197*f**4 + 3*f**3 - 148*f + 53848 wrt f?\nAnswer: 580658364*f**2 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -64. Suppose 3*r + 263 = 2*a, 3*r - 303 = -3*a + 114. Let n = a - w. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**3 + 354*p**2 - 31680*p + 61952 = 0.\nAnswer: 2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 10*i**2 - 6*i + 11. Let l(p) = p**3 + 6*p**2 - 8*p + 2. Let m be l(-7). Calculate the remainder when x(m) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -2\/17, -1\/7, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 165, 168, 171, 174, 177, 180?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 7*x - 12*x = 835, 338 = 2*z - 4*x. Calculate the highest common divisor of z and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1003 + 112021?\nAnswer: 113030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -58.22 + 58. Which is the closest to -1?  (a) 4  (b) 0.3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**5\/20 - 3*h**2. Let s(c) be the second derivative of -c**3\/2 - 6*c. What is w(s(q))?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 493.277 + -493. Let o = d - -0.013. Let i = o + -0.2874. Round i to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**7*(l**(-2\/27)\/l)\/l*l**(1\/16)*l\/l**7)**(-3\/28) assuming l is positive.\nAnswer: l**(437\/4032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(12\/(-77)))\/((-3087)\/1764).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/12)\/((-9)\/48).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-100)\/125)\/(18\/5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + v = 75, -3*y - 5*v - 1 = -24. Solve -5*b + 2*n + y = -0*n, 5*n + 15 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 2*c - 4*c)*(-2 - 1 + 1) + (-3*c + c + 4*c)*(2 + 0 + 0) + 3*c + 2*c - 2*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 649\/4, -2\/15, 1\/10 in increasing order.\nAnswer: -2\/15, 1\/10, 649\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4 = -20. Suppose -c + s = -2. Suppose 5*u = u + 20. What is the greatest common factor of u and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -76 and 313822?\nAnswer: -23850472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f + 29 - 26 - 5*f - 3.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/(64\/3))\/((-3)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n + 1. Let g be u(1). Suppose 3 = -2*j + 3*l, -g*j + 9*l - 9 = 4*l. What is the third derivative of 5*h**3 + 3*h**2 - 2 + 2 - 3*h**j wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -16*t**5 + 6*t**2 + 64*t + 3. Let u(d) = -d**2 + d - 1. Suppose 86 = 5*q + 101. Let h(n) = q*u(n) - l(n). Find the second derivative of h(f) wrt f.\nAnswer: 320*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.48 - 0.57. Let f = h - -0.09. Which is the closest to -6?  (a) f  (b) 5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 208 divide 80650960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ujw when three letters picked without replacement from tuuwvgj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/((-24)\/(-4132))*(-19 + -14).\nAnswer: 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2163129*u**3 - 7*u + 222578412 wrt u.\nAnswer: 6489387*u**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + -19 + 11 - 23 - 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lfa when three letters picked without replacement from faalafffaaaffafaafa.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*f**2 + 20*f**2 + 24*f**2 + 25*f**2 + 20*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19292 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 39 - 25 = 0. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-15)\/45*(-583*7 - 2).\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 179*c - 146*c = 317724. Is 150 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 6 - 4 = 0. Let o(l) = -3*l**3 - 4*l**2 - l - 4. Let g be o(v). Solve 3*j - j = g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1354 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -4\/16823671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -164188*l**2*n**3 - l*n**3 - 28*l*n**2 + 85 wrt l?\nAnswer: -328376*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 13, w: 6}. Give prob of sequence wwwn.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2611*u + 2*d = -2614*u - 15 + 41, 56*u - 4*d - 72 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17*114\/(-969)*(-2)\/((-264)\/9).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5 - 2 + 1 + x**3 - 4*x**2 - 5*x + 3. Determine o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4*((-60)\/(-16))\/(-3). Let x be -1 + 2 - (-20)\/w. Sort x, 0, -2.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 560 + -156. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -714 and 60.9.\nAnswer: -43482.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-322576)\/5)\/(-16)*5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c + 8. Let r(h) = -h + 8*h - 8*h**2 - 7 + h + 6 + h**3. Let d be r(7). Determine m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 5. Suppose 3*k - 12 = 0, 2*c = -0*k + k + l. Solve -2*d = 2*s + 10, 0*d + 4*s = -d - c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -u - 369, -11*u + 12*u + 3*m + 372 = 0. Is -382 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 168, -0.095, -86, -0.5, 4\/3, 2.\nAnswer: -86, -0.5, -0.095, 4\/3, 2, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 700043671, 700043672, 700043673, 700043674, 700043675?\n\"Answer: r + 700043670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wvnncrcwnnnncvc. Give prob of sequence cvnr.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 105 (base 7) to base 11.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**5\/2 + 15*p**4\/2 - 15*p**3 - 95*p**2 - 225*p\/2 - 81\/2.\nAnswer: -(p - 9)**2*(p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 22*s**2 + 21*s. Let m be f(21). What is the nearest to -1 in -1, 0.5, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6696*x + 6701*x - 5*i + 20, -5*i = x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 713.79854 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 441 = 89. Let r = h + -57. Is r less than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, 1760, -3, 3, -2.\nAnswer: -9, -3, -2, -1, 3, 1760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -9 - 0 - 297\/(-33). Which is the biggest value?  (a) -0.042  (b) 0.9  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3.6756 greater than or equal to -0.51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4*(-2 + 54\/24). Which is bigger: h or -7\/25?\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -19514*g. Let c(l) = -3*l. What is y(c(i))?\nAnswer: 58542*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - 1. Let w(t) = t**2 + 24*t + 81. Let k be w(-21). Let m = k + d. What is the remainder when 27 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 j, and 1 t when three letters picked without replacement from {t: 3, e: 2, h: 12, l: 2, j: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*g - 24*g + 11 = 0. Calculate the remainder when 92 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -5 - 15) + 2 + (-10 - -30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**4\/13 - 268*s**3\/13 + 11888*s**2\/13 - 13764*s + 12870 = 0?\nAnswer: 1, 39, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1ea0e + -2?\nAnswer: -1ea10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -93*n + 56. Let u(k) = -279*k + 164. Let g(i) = -17*s(i) + 6*u(i). Differentiate g(q) with respect to q.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3*sqrt(80) + (sqrt(5) - sqrt(5)*2)**2*-5 - (-1 + (sqrt(500) + 1 + sqrt(500) + sqrt(500))**2*-4 + -2).\nAnswer: 228*sqrt(5) + 17985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*m + 610*m = -512*m + 20922 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(-6)*49\/((-3430)\/520)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1868 or 1?\nAnswer: -1\/1868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 6. Suppose z = i*z - 6. Suppose 2*v = 4*c - 150, -v = z*v + 12. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from wxrxxrrdwdrdxrrwxxx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 24, 1, 5, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/13120 and 57\/3776?\nAnswer: 774080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 6*j**2 + 5*j + 34. Let x(w) = 2*w**2 + 2*w + 10. Let b(o) = 6*c(o) - 17*x(o). What is the units digit of b(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1183684, 1183662, 1183632, 1183594, 1183548?\n\"Answer: -4*r**2 - 10*r + 1183698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - (-602)\/(-42))\/((-5)\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2 - d + 4*d + 3. Let y = -12 - -11. Calculate w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-81*j - 36*j + 1 + 0)*(-1 + 4 + 2) + (0 + 1 - 3)*(4*j - 4*j + j).\nAnswer: -587*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7a - 121a6?\nAnswer: -12275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -9129.584 + 0.119099\nAnswer: -9129.464901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 14480\/(-6)*30\/(-20). Suppose 56*l = -b + 52900. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -4*c. Let k = 4 + 21. Suppose -3*n + 5*n + 5*o = -27, 4*o = -5*n - k. Let p be f(n). Let g(v) = -v**2 + v + 4. What is g(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1083 and 180139.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*w - 146*w + 31*w + 30*w + 41*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -728e (base 15) in base 4?\nAnswer: -11322101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/753, -0.1, -7, 4, -3, -4 in increasing order.\nAnswer: -7, -4, -3, -0.1, 2\/753, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*d**3*m - 183*d**3*s**3*t**2 - 2*d**3*s**2*t**2 - d*m*s**3 + 11*m*s**3*t**2 wrt m.\nAnswer: 3*d**3 - d*s**3 + 11*s**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*k**2 - 938266*k**3 + 936448*k**3 + 8*k**2.\nAnswer: -1818*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 7221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.0378 + -0.0378. Which is the closest to 2\/183?  (a) 1\/2  (b) 1\/10  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -919 - 1668 - 206 - 440 - 1179 - 11*b.\nAnswer: -11*b - 4412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 7) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q - 12 = 3*s - 4*q, 0 = -4*s - 5*q - 19. What is the tens digit of ((-29)\/(-3))\/(s\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*v**3 + 2*v**3 - 4*v**3 - 219*v**2 + 203*v**2)*(5*v - 3*v - 3*v) in the form x*v**4 + d + l*v + j*v**2 + z*v**3 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from keuekkuek. Give prob of picking 1 u and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (126 + -10)*(-3)\/(-12) is divided by (-6)\/((-108)\/3) - 94\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27540 - -27538. What is the nearest to -1\/13 in 5, -3\/5, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13871176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 784 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/80142 and 31\/304?\nAnswer: 641136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14821327*u**5*v**3 + 556*u**2*v**2 - u**2*v - u*v**3 - 6*u*v**2 + 21*v**2 wrt u?\nAnswer: -889279620*u**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 5)*(463*b - 1 - 464*b - 24)*(3*b - b**2 - 3*b) - 2*b**3 + 2 - 2.\nAnswer: -4*b**3 - 50*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1440 is divided by 449.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 66872 + -26030. Suppose r - 7*r = -f. Is r\/7 + 16\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 272 + -266. Find the second derivative of 20*c - 3*c + 4 - 5*c - s*c**4 + 2*c**3 - 6*c wrt c.\nAnswer: -72*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 49*w + 48 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, 0, 126, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2*v = 40, 12 = d + v - 3. Suppose 0*r = d*r - 1330. What is the remainder when r is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/72*132*105\/10\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-10))\/((-1)\/(-5)). Suppose 18 = -g*t + 6*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-2)*(-8)\/(-6). Let d = b - 0. Let v(w) = -w**3 + 11*w**2 + 14*w - 21. Let u be v(12). What is the second biggest value in u, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -17*t - 12. Let y(d) = -d**2 - 8*d + 5. Let n be y(-6). Suppose -4*u + 1 = n. What is the units digit of o(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**3 + 2*q**3 - q**3)*(-q + 0*q**2 + 5*q**2 - 2*q**2).\nAnswer: 15*q**5 - 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 7. Let q = m + 4. Let f be (-3)\/(-6) - 1\/2. Put f, q, 4 in decreasing order.\nAnswer: 4, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = -5*p + 3*v, -5*p + 20 = -2*p + v for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 4*u + 7. Suppose 5*h + 1 = 26. Let q be i(h). Suppose -2*g = q*g - 8. Solve -4 = 4*r - g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(2*(sqrt(175) + sqrt(175) + 0) + 4))**2.\nAnswer: 4000*sqrt(7) + 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140 + 149 + -7 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1444257565 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + n. Let d(v) = -v**3 + 5*v**2 - 33*v - 21. Let t(a) = -d(a) + 2*u(a). Let c be t(-10). What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*o = 21*o - 16. Solve -3*q = -o*l + 9, 0 = 2*l - 4*q - 1 - 11 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 5:00 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9 - 3)*2\/(-2). Let j be (45\/(-10) + 3)\/(l\/20). Suppose 5*m = 3*m - n + 6, -j*n + 20 = 5*m. Solve -3*a + 19 = 4*r - 3*r, -m*a + 5*r = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 2)*(-4 + 5 - 3)*(-4 - 1 + 4)*(-6*y**3 - 4*y**3 + 0*y**3) to u*y**3 + i*y + j + s*y**2 and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -216100 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j**2 - 116*j - 541. Let g be s(-6). Solve 0 = -10*b + g*b - 4*k - 9, 3*b + 4*k = -21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6384671784 to the power of 1\/2, to the nearest integer?\nAnswer: 79904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-67)\/(-5) + 6\/(-15). Let o = u - 11. Solve -o*c = -2*j - 4, -2*j - 18 = 4*c + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a + 3. Calculate d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 231835.7 centuries in years?\nAnswer: 23183570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -5  (b) 4  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 6*j = 5*j - 76, 102 = 5*b - 3*j. Let c(d) = 3 - 14*d - 7 + 3 - b*d + 4*d. Let u(z) = -z. What is u(c(o))?\nAnswer: 28*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, 45\/8, 1, -326, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15222 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*t + 128978 = 35240 - 38562. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 8 - 4. Suppose 8 + 0 = y*f. Let o(h) = -251*h**2 + 3*h - 2. Let v be o(f). What is v rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 - 99*g**2 + 3*g + 99.\nAnswer: -3*(g - 1)*(g + 1)*(g + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7506128 and 48?\nAnswer: 22518384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -19 + (-12 - (7 + -37)) + 47\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142420256.\nAnswer: 2, 11, 271, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 427 = i, -5*x = 3*i - x + 1281. What are the prime factors of 1\/(-3) - i\/21?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(sqrt(11) - (sqrt(11)*-1 - sqrt(11))))\/(sqrt(48)*-6).\nAnswer: -sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 9 + 6 = 5*p, 7 = r + p. Suppose 3*n + 496 = -4*t + 1625, n + 1435 = r*t. Suppose 9*l + 70 - t = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 58254 and 418950?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 3*w**2. Let z(a) = a**3 - 2*a**2. Let h be -12*(-8)\/960*40. What is h*g(p) - 6*z(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 371 + -365. Is 5 a factor of v\/(-2) - (-82 - -4 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1066 a factor of 1506615341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -2\/7  (c) 5  (d) 1\/9  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -1194\nAnswer: -7\/1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 173 + -89. Let i = 93 - p. Suppose h = -3*b + 11, 5*h + 4*b - i - 2 = 0. Is -5 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 149688 and 7414?\nAnswer: 50444856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {q: 4, e: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56, 147, 238, 329, 420?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21.729543*0.2.\nAnswer: -4.3459086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of t**5\/20 + 7*t**4\/12 + t**3\/2 - 5*t**2\/2 - 6*t. Suppose 2*f - 5*f - 18 = 0. What is the units digit of q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25068 divided by -8356.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -182, -375, -582, -809, -1062, -1347?\n\"Answer: -s**3 - s**2 - 183*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/4 - 4131973*f**2\/4 - 1067075571042*f - 1067074538049.\nAnswer: -(f + 1)*(f + 2065986)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10900646, -21801309, -32701982, -43602671, -54503382, -65404121, -76304894, -87205707?\nAnswer: -98106566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.8 + 25.8. Let m = 24.8 - h. Which is the third smallest value?  (a) 3\/2  (b) 3\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 39914.5779 and -3473.\nAnswer: 36441.5779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4864298.04 minutes to weeks.\nAnswer: 482.56925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 10\/(-75) + ((-1)\/5)\/((-69)\/3151)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38669.48 millennia in decades?\nAnswer: 3866948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3 + 13*b**2 - 7*b + 0*b**2 - 7. Let f = -6 + -1. Let g(j) = -9*j**2 + 5*j + 7. Calculate f*g(c) - 5*k(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/(-56) + (-649)\/(-7) + -4. Suppose -5*q = -q - 664. Let x = q - h. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, r: 1, m: 6, s: 1, z: 2, f: 5}. What is prob of sequence fzrh?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14072 is divided by 372.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 140314304 (base 5) to base 16\nAnswer: ae3e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -22*y**2 - 32*y - 112. What is k(-4)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184 = -2*s + 422. Let c = s - 215. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -w - 4*s + 4, -41*w - 5*s - 16 = -38*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 21*z**2 - 6*z + 5. Let s(x) = -190*x**2 + 52*x - 44. Let o(j) = 26*p(j) + 3*s(j). Let d(a) = 30*a**2 + 1. Give o(d(w)).\nAnswer: -21600*w**4 - 1440*w**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 103?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 + 13*u**2 - 3*u + 48. Calculate the remainder when 1 + 24 - (-1 + 2) is divided by k(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*o*w**3 + 3*o*w + 2769*o - 308*w**4 wrt w?\nAnswer: 6*o*w**2 + 3*o - 1232*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**3 - 67*m**2 - 39*m + 74. Give r(34).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + -51)\/((-2)\/(-5 - -7)). Let p = -49 + l. Solve 2*w = p*w - j - 5, -25 = -5*w + 3*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -8*d**2 + 5*d. Let v(j) = -5*j**2 + 3*j. Let k(x) = -3*m(x) + 5*v(x). Let r(l) = -10*l. Calculate k(r(o)).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 3*s**3\/8 + 51*s**2\/8 + 45*s\/2 = 0.\nAnswer: -12, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6893\/5 or 0.1?\nAnswer: 6893\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + (((sqrt(720) - (-2 + sqrt(720)))**2 - sqrt(720)) + 1 + 3 + (1 + sqrt(720))**2)*-6*-6.\nAnswer: 432*sqrt(5) + 26251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -1 + -4 + (-10)\/65?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffpp when four letters picked without replacement from {f: 9, p: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8656378*z**3 + 41407959 wrt z?\nAnswer: -25969134*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 604 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*s - 87 = 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fflf when four letters picked without replacement from {l: 7, f: 4}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 4 - 6 + d + 8*d**3 - 29*d**3.\nAnswer: -21*d**3 + d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 5*f = 45, 3*k - 328*f - 176 = k - 29 + 201 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 100\/(-12) - (-4)\/(-6). Let i = 18 + l. Suppose i - 1 = -2*t. Let a(k) = 6*k - 5. Let z(m) = -5*m + 4. Calculate t*a(d) - 5*z(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 235, 800, 1903, 3724?\nAnswer: 6443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*o**4 + 79*o**3 - 267*o**2 + 245*o - 50.\nAnswer: -(o - 5)**2*(o - 1)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 52 + 59. Let q = 112 + y. Let l = -224.11 + q. What is l rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20*m**3*w**2 - 1578*m**3 + 3*m*w**2 - 10*m + 62*w**2 - 19*w - 2 wrt m.\nAnswer: 120*m*w**2 - 9468*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.844*-1.18.\nAnswer: 3.35592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l**2 - l**2 + 6*l**2)*(-l**3 - 2*l**2 + 2*l**2) + (-2 + 5 - 2)*(-14*l**4 + 14*l**4 - 8*l**5).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69630868 and 582.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -657584 (base 9) in base 4?\nAnswer: -1133313223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -317*q**5 + 4*q**4 + 2*q**2 + 158*q**5 - q**2 + 169*q**5 + 42*q - 8*q wrt q?\nAnswer: 600*q**2 + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -34*t**3 - 2*t**2 - 2*t + 1. Let z(a) = 33*a**3 + 3*a**2 + 3*a - 2. What is 3*s(y) + 2*z(y)?\nAnswer: -36*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 877041 = 10268*z + 16309*z for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 748615963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*o + 661 = 3*o, -664 = -2*s - 2*o. Let a = -235 + s. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*s + 88*n + 1308 = -118*s, -4*n - 69 = s + 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -342888 divided by 171444.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - 118 - (39 - 23) - (7 + -13 + -6)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12.5 + 12. Let f = 1\/121 - 368\/605. Which is the closest to -1?  (a) k  (b) f  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-570)*4)\/(48\/(-80)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9 + -11)*6\/30. Are n and 0.12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from effoggeoe. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -1838*u + 18381. Calculate o(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, w: 1, k: 4}. Give prob of picking 3 c and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-4)*(-1332)\/(-777)*(-2)\/(-6)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1640 and 129620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 16611*f - 4418488. Give a(266).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1708 + 1614. Let t(f) = 73*f + 7. Let z be t(5). Let r = z + l. What are the prime factors of r?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.03 greater than or equal to 15.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 + (5 - (-3 + 1)) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -ddd4?\nAnswer: -ddd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*m + m. Let v(a) = a - 3*a - 2*a - 13 + 15. Let j be v(m). Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k**2 + 5*k + 3. Let g be v(-2). Let t be 6 - -5 - 0 - g\/5. What is the highest common divisor of t and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, r: 2, t: 2}. Give prob of sequence urr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(120) - sqrt(120)*-2) + sqrt(120) - sqrt(120)))\/(-1*sqrt(486) - (sqrt(168) + sqrt(42))\/sqrt(7)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/6*j + 1\/6*j**2 - 2 = 0. Calculate j.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1577 + 2555 = 4*z - x, 4*z - 4136 = 2*x. Let s = z + -556. List the prime factors of s.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -100  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29\/((-1885)\/52)*15\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*o - 37*o - 26*o to c*o + u and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 218 + -103. Suppose -3*m - 2*m + c = 0. Let t(x) = 9*x**2 - 1. Calculate the remainder when m is divided by t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 13 - 13 = -3*w, 3*n = -5*w + 39. Let a = -2 + 2. What is the units digit of (n - (-2)\/2) + a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 1:39 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*d - 117*d - 9*d - 24*d to the form b + a*d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 5*f**2 + 158*f + 1127. What is h(-16)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s*s**(-1\/10))\/s)\/s*s**(-6)\/s)\/(s**(-1)*(s\/s**(-1\/5))\/s))**22 assuming s is positive.\nAnswer: s**(-693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1336435, -2672866, -4009295, -5345722, -6682147, -8018570, -9354991?\n\"Answer: z**2 - 1336434*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 2*p - 1644 = 0, 2*x + 411*p - 810 = 415*p. What is the remainder when x is divided by (-16)\/6*39\/(-2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -407\/129 - -150\/43. Let l = -1\/42 - -23\/84. What is the nearest to l in 5, n, -2, 16\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 7:20 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) -787\/4  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 235624, 235467, 235310, 235153, 234996?\nAnswer: 234839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c + 28 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 - 5*r + 1. Give v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3*w + 100 = 0. Let u be (-20)\/w - (-86)\/10. Suppose -c + 2 + u = k, -3*k = c - 25. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*(2 - 16\/(-12)). Let l = -10 - n. Let m be l\/(-4)*(1 + 1). Which is the third smallest value?  (a) m  (b) 3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -18, -7\/2, -1?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 408 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1483, 1280, 741, -302, -2017?\n\"Answer: -28*u**3 - 7*u + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1254 is divided by 546?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 525 is divided by 383?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 72 + -48. Suppose -5*u + 2*u = -k. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -4, 45 in ascending order.\nAnswer: -4, -0.1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r - 10. Let s be l(0). Let i be (5\/s)\/((-1)\/(-2)). What is the biggest value in i, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47 - 23950*m + 47 + 369*m + 3415*m to the form t*m + y and give t.\nAnswer: -20166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 53178*i**2 + 53178*i**2 + 4*i**3.\nAnswer: 4*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 143990411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 + -28. Let f = z + 17. Solve -4*g - 25 = -f*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 271693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4602, 5, -2.497 in decreasing order.\nAnswer: 5, -2.497, -4602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -43\/2?  (a) 1  (b) 10\/27  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -62400 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1741142 and 1788904?\nAnswer: 4342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 + 3*j + 31. Let i be y(7). Suppose 0 = -i*x - 2*v + 2561, x = 13*v - 16*v + 856. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.01 - 0.01. Let u = -1.7 + f. Let s be (-6)\/8*4\/6. Which is the second biggest value?  (a) s  (b) -2\/3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(5985\/76)*(-4 - -1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -4*l - 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 3756871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -p**3\/3 + 5*p**2 - 22*p - 66. Let a be b(4). Solve 5*l - a*s + 25 = 0, 2*s - 24 + 5 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 19*c**2 - c + 1. Let q be r(-1). Let p(i) = 9*i + 4. Let k be p(-3). Let t = k + q. Which is smaller: t or -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*w**3 + 7*w**3 - 2*w**3)*(2*w**2 + 7*w**2 - 4*w**2).\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (3384 - -1) + (-7 - -11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 25*n**2 - 82*n + 40. Let v(g) = 11*g**2 - 38*g + 20. Let j(l) = -9*v(l) + 4*w(l). Calculate j(-13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wffwyiinfiwfwfff. What is prob of picking 2 w and 1 y?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i**2 + 3*i - 38. Give u(-10).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.03  (b) -0.16  (c) 0.1  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 662\/(-8)*8\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1362022093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/2))**(-34))**(-1\/30)*((q\/(q\/(q\/q**(-7)))*q)\/q**(-5))\/((q*q**5)\/(q\/q**(1\/4))) assuming q is positive.\nAnswer: q**(559\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6126027, 12252060, 18378083, 24504090, 30630075, 36756032, 42881955?\n\"Answer: -f**3 + f**2 + 6126037*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -0.2, 0.5, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 3*x + 28 = 0. Let p(w) = -w**3 - 8*w**2 - 15*w - 54. Let g be p(x). What are the prime factors of (26*10\/60)\/(g\/60)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (83 + -2) - (-7 - (-21 + -4 - -3))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76\/(-114)*((-18)\/13)\/(-3).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 297 + -300. Let i(w) = 104*w**3 - 264*w. Let x(d) = -35*d**3 + 88*d. Let o(y) = r*i(y) - 10*x(y). Find the second derivative of o(p) wrt p.\nAnswer: 228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11\/917, 0, -1, 7.6 in increasing order.\nAnswer: -1, 0, 11\/917, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/11 + 8155\/(-1155) + 11.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7920328 - -0.1?\nAnswer: -0.6920328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 - -32. Let m be (-4)\/((-260)\/185) - h. What is the biggest value in m, -2\/11, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2748\/11 + 250. What is the fourth biggest value in -4, 0, 25, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 3) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1565252361 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4401403230 (base 5) in base 6?\nAnswer: 533315005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*r + 30 = 0. Suppose -r*k = -2*k - 16. Find the first derivative of 3 - 4 - k + 0*l - 5*l wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22\/18923 or 0?\nAnswer: 22\/18923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/17 in 1\/27, -3, -0.4, 0.01?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*r**2 - 1224*r + 19652 = 0. What is r?\nAnswer: 17, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/((-540)\/(-144) + 0 + -5). Solve 0*i + 2*i = -4*b + q, 5*b = -5*i + 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1740*o + 7130 = -1228*o - 6865 - 845 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -6, -2, 6, 18?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6424 + ac8?\nAnswer: 710c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4473 + -323?\nAnswer: -4796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4844055 a multiple of 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000742127 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -12*x**2 + 6*x + 10. Let a(o) = o**3 + o**2 + o - 1. Let f(z) = -a(z) - s(z). Determine f(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 152*a + 148*a - 35 = 0, -4*y - 74 = 7*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-2 - (-5 + 3) - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -8, -701, 4 in ascending order.\nAnswer: -701, -8, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 99315753 and 216?\nAnswer: 7150734216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1423011 + 104?\nAnswer: -1422604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**4*k*k**(2\/15)*k**(-4\/3)\/(k**9*k))**(-12))**(4\/3) assuming k is positive.\nAnswer: k**(1056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.9 and 10070.\nAnswer: 19133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -5*a**2 - 2*a**3 + 5 - 56*a + 0*a**3 + 51*a. Let s(j) = -3*j**3 - 4*j**2 - 4*j + 4. Calculate 4*m(p) - 5*s(p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14247 - 5?\nAnswer: 14242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2968692995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 2*b**4\/3 + 14*b + 20. Let s(d) = 6*d**2. Determine c(s(m)).\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 150*i**2. Let b(v) = 254*v**2 - 8. What is b(t(w))?\nAnswer: 5715000*w**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 - 44. What is the highest common factor of w and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.47*1.6384.\nAnswer: 0.770048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -5. Is -5 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1161 and 1.431.\nAnswer: -0.1661391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*i**5 + 16271*i**2 - 23430*i wrt i?\nAnswer: -60*i**3 + 32542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 212\/(-16) + (-2)\/(-8). Let x(f) = -6*f**2 - 3*f**3 + 2 + 16292*f + 4 - 16298*f. Let u(v) = 7*v**3 + 13*v**2 + 13*v - 13. What is d*x(q) - 6*u(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -15*m**2 + 12*m + 4*m**2 - 3*m + 10*m**2 - 6. Let y be o(8). Solve 0 = -y*j + 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -r**3 + 909*r**2\/2 - 4684. Factor o(d).\nAnswer: -3*d*(d - 303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2113.578 years to millennia.\nAnswer: 2.113578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66\/7 + -97\/14. Which is the fourth biggest value?  (a) -0.5  (b) y  (c) 3  (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 32 = 4. Let o be 2\/93 - 566\/26319. Solve d = -o*r + 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 448489, 897046, 1345603, 1794160?\n\"Answer: 448557*c - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of 0*k**5 + 0 + 6*k + 0*k**4 - 5\/2*k**2 + 0*k**3 - 2\/15*k**6. Find the first derivative of z(o) wrt o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*i - 3*h - 52389 = 41*i, 0 = 3*i + 3*h - 52413. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3 - 8190*b**2 + 3394380*b - 33129800.\nAnswer: 5*(b - 814)**2*(b - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -116 (base 9) to base 5.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.032 - 6959813\nAnswer: -6959813.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2 = -4*j - 38, -2*f = -5*j - 33. Let h be 25\/(25\/(-5)) + 10. Sort -3, j, h in increasing order.\nAnswer: j, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 969.0662kg in nanograms?\nAnswer: 969066200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47558 - 47531 = 3*n - 2*k, -8*n = -5*k - 70 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 12*t**3 + t**2. Let s be d(1). Suppose s = -l + 17. Solve 2*p + 2 = 5*v, -5*v + 4*p = 2 + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - 15*g**2 - 6*g - 40. What is the least common multiple of i(-15) and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 608*l - 1169. Let w(p) = -15*p - 3. Give w(u(b)).\nAnswer: -9120*b + 17532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -21597 - -0.23?\nAnswer: -21596.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -g**5\/5 + g**3\/2 - g**2\/2 - 27*g. Let a(c) be the first derivative of v(c). What is the first derivative of a(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 79.9515.\nAnswer: -7.99515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 577 + 2508 + p - 796.\nAnswer: p + 2289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -5, -1, -13380, 2.\nAnswer: -13380, -5, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**2\/4 - 11095653*l - 22191303 = 0. What is l?\nAnswer: -14794202, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1558*q + 1 - 3*q**2 + 212*q - 853*q - 1548*q.\nAnswer: -3*q**2 - 3747*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.4  (b) 593  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/21*3 - 89\/89.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 640\/(-36) + 2\/(-9). Let b = x + 53\/3. What is the smallest value in -4, b, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.320926 weeks to seconds.\nAnswer: 798896.0448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-33) + (-442)\/(-1122). Let k = -0.1 - -4.1. Let t = 0 + -1. What is the closest to t in w, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1258 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**2 - 2 + 4*l**2 + 1. Let s(x) = -x**2 - x - 1. Let o be s(-1). What is p(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 157*l + 9. Let z(r) = -r + 234. Give z(a(u)).\nAnswer: -157*u + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 250076*c - 83360*c + 3*c**3 - 83360*c - 83356*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 1649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 79\/6 - 13. Let m(q) = q**2 - 2*q + 3. Let p be m(2). Let w = 0.3 - 3.3. Which is the biggest value?  (a) w  (b) p  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24963162 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 179 + -0.077\nAnswer: 178.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-22)\/(p\/p**(-3\/11)))\/(p*p**(-4))**(-17\/3) assuming p is positive.\nAnswer: p**(-443\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-1*6\/4). Does 19 divide (0 + 106)*4\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2723 + -2715. Solve -15 = n*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3711623.41 to the nearest 1000.\nAnswer: -3712000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -8*h - 2. Let n(m) = 9*m + 3. Calculate -7*f(u) - 6*n(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 4*c + 150. Let f = c + 0. Let x be (4\/(-5))\/(f\/(-5)). Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l + 3, -w + 31*l - 3 = 35*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -3. Let o = -49255 + 49261. Sort 0.2, p, o in ascending order.\nAnswer: p, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + 7\/(-2))*-2. Suppose m - 20 = -b*o, 0 = 2*m - 3*o - 22. Let i = 48 - m. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 9*a - 6. Let o(t) = t**2 + 4*t - 5. Let w be o(-5). Let j be w\/(-2 - -5) + 6. Let n(f) = -71*f + 61*f + 28 - 21. Give j*n(p) + 7*y(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417185097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 17 = -x, -2*j + 5*j - 18 = -x. Suppose 5*y - 18 + x = 5*n, 0 = 4*y - 5*n - 7. Suppose -5*a + 77 = -y. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-13)\/((-234)\/(-24)))\/(4\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**11*s**(-1\/3))**(2\/29) assuming s is positive.\nAnswer: s**(64\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -27.6 and -0.55.\nAnswer: 15.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 145, 69, 13, -23, -39, -35, -11?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -14*w - 7. Let n(u) = -5*u - 2. Let c(k) = 8*n(k) - 3*z(k). Let i be c(0). List the prime factors of (58\/6)\/(i\/15).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 1748?\nAnswer: -6992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25 + 265*i - 15 - 9 + (-1 + 5 + 9)*(-4 - 2*i + 4).\nAnswer: 239*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 5*g + 30 = 0. Calculate the smallest common multiple of 20 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5610970334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 3 - 8 - 2*r)*(3*r + 2*r - 4*r).\nAnswer: -2*r**2 - 25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*x + 47*x + 3*t = -586, 5*t - 610 = -5*x. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 150 = -5*m, 0*p - 3*p = -3*m + 84. Let a = m - 40. Let u(k) = 5*k**2 + 4*k + 4. Let i(b) = 14*b**2 + 11*b + 11. Give a*u(g) + 4*i(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 136108 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, x: 3, n: 1, i: 5}. What is prob of picking 1 x and 1 k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 109139717669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93.2 - -2.\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11*(-20)\/(-550))\/((72\/42)\/(10\/77)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -510 greater than -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -43 - 66*q**3 - 17 + 7*q**3 - 43*q**3 wrt q.\nAnswer: -306*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -78 - ((5 - (11 + 6)) + -5 + 23)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 2*w**2 - 69*w - 4. Let o be p(0). Suppose -4*r + 3*r + 1 = 0. Suppose -i + c - 3 = 0, 3*i + r + 7 = 4*c. Is o bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 20 = 0, z - 3*o - o - 111 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95442 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 196388000 rounded to the nearest 1000000?\nAnswer: 196000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1849 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11652627 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 7 = 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 20 = 2*v, -5*v + 2*z + 2*z = 16. Suppose -2*a + 12 = 2*f, 6*f - f + 2*a - 24 = v. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -15 + 7 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-2\/9))\/d**(2\/9))\/((d*(d**(1\/6)*d)\/d)\/(d*d**(-3\/2))))\/((d\/d**(-3))\/(d\/d**1))**(-7\/2) assuming d is positive.\nAnswer: d**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.88 - -66.12. Let h = l - 67.00000039. Round h to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 13*w - 30. Let n(i) = -20*i + 45. Let j(k) = 5*n(k) + 8*y(k). Let p be j(10). Suppose -d + p = 7. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + q - 10, 3*k - q = 4*q - 14. Suppose 78 = k*j + 2*n, -2*n = -5*j - 0*n + 216. What is the remainder when 209 is divided by j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 161784 and 254772?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of 0*j**4 + 0*j**5 + 21*j + 7\/6*j**3 + 0 - 3\/2*j**2 + 4\/3*j**6. Find the second derivative of l(q) wrt q.\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**2 + 14*l**4 + 17*l**4 + 20*l**4 - 7*l - 2 - 50*l**4 to o*l**3 + h*l**2 + u*l**4 + c + s*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*b - 40*b + 5412 = 0. What are the prime factors of b?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 3*i. Let w be 2 + 7 + -3 - 1. Let b(l) = -7*l + l - l - l**2 + w*l. Determine 4*b(t) + 3*x(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + f**2 + f + 12. Let w be n(0). Suppose -5*y + 29 = -31. What is the highest common divisor of y and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 1. Let k(l) = -4*l**2 + 7*l**2 + l**2 - 6 + 4*l**2. Let j(g) = 6*h(g) + k(g). Let d(w) = -w. What is d(j(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 18746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19.990056 - 19.98. Let b = 0.39 + -0.4. Let a = b + c. What is a rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -89\/13489?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -32.4973 minus 0.64?\nAnswer: -33.1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + x + 2. Let q(u) = -42*u**2 + 80*u - 12. Let n(k) = -6*h(k) - q(k). What is the second derivative of n(a) wrt a?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -19*z**2 + 2*z. Let w(m) = -2259*m + 1. Calculate w(t(y)).\nAnswer: 42921*y**2 - 4518*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -4*a + 239, -a + 6 = -3*h - 75. Let c = a - 123. Let w = c - -57. Solve 3 = -3*u - w*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1823, -3647, -5471, -7295, -9119, -10943?\n\"Answer: -1824*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 282777?\nAnswer: 3, 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36837 and 32744?\nAnswer: 294696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-4*(3 + sqrt(2299)*1))**2 - 2*((sqrt(2299) + 0 - sqrt(2299)) + -3)).\nAnswer: 1056*sqrt(19) + 36934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, t: 1, e: 4}. What is prob of picking 2 b?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*h - 2*h. Let r(t) = h + 1 + 0 + 13*t + 0*t. Is 4 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 + 61. Suppose z - 2*z - 2*k = -40, -5*k + 145 = 4*z. Suppose z = -4*r + 9*r. Calculate the lowest common multiple of m and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -46\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 38 and 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) + -2 + sqrt(832) + -1 - (sqrt(832) + -2 + (sqrt(832) + 0 - sqrt(832))))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2980.0086 months?\nAnswer: 248.33405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 3, -3*s - 2142 = -2*g + 335. Let b be 5\/(-20) - g\/(-8). What is the highest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from utethhbehebuuute.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -5*q**3 + 26. Let h(a) = -14*a**3 + 77. What is 6*h(c) - 17*y(c)?\nAnswer: c**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*l = 62*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*30722.\nAnswer: 3072.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -40897046.\nAnswer: 16358818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1296)*1)\/(sqrt(288)*2)*-3.\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwh when three letters picked without replacement from vvlgvlghvvllvgw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -54.2 + 49.2. Let n = 3.93 + 0.07. Let j = 3.6 - n. Which is the smallest value?  (a) l  (b) -4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 208806307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 13*j + 14. Give g(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/135791 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 2:10 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 75779?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pbbpobopaob. Give prob of picking 1 b and 1 a.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002888 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 31*l - 51. Calculate j(31).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 1 - -6 - (-6 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.21 - -2.79. Let u = 3.1 - h. Is u not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681.074 centuries in years?\nAnswer: 68107.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3630 + -3636. Let j(c) = c + 1. Let u(o) = -4*o**3 - o**2 - 6*o - 6. Give t*j(q) - u(q).\nAnswer: 4*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 931140 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1755 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -m + 3, 11 - 1 = 4*m - 5*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(85) + sqrt(85)*2) + sqrt(85) + (2*sqrt(85) + sqrt(85) - sqrt(85))*4)\/(sqrt(605) - -6*(sqrt(605) - -2*sqrt(605)) - sqrt(605)) + -2.\nAnswer: -2 + sqrt(17)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (260 - 243) + 3 + -58 + -4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 167005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-576)\/(-80))\/(105\/(-700))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-44)\/(-117) + (-34)\/221. Let f = 2 + -4. What is the closest to 0.1 in f, 3\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -a**2*k**2*q**2 - 103*a**2*k**2*q - 31*a*k**2 + 2*a*k*q**2 - a*q**2 wrt a.\nAnswer: -2*k**2*q**2 - 206*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -275 + 763. What is the lowest common multiple of 36 and u?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18.7445772 + -18.75. What is i rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8981858?\nAnswer: 2, 673, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 554517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 493273 is divided by 394.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -47  (b) -0.4  (c) 2\/5  (d) -0.03  (e) 1390\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - (-2 - -2)) + (4 + 11 - 9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-42)\/28)\/(6\/40). Calculate the least common multiple of 6 and (o - -14)*(-2)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 176, 348, 520, 692?\n\"Answer: 172*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 87295358 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x\/x**(6\/5))\/x*x\/(x\/x**0)*x**1*(x*x\/x**(-3\/7))\/x)**38 assuming x is positive.\nAnswer: x**(2964\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -3*c + 10, 6*c - 9*c + 18 = -3*n. Let b(x) = -3*x + 9. What is b(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.139 + 88.139. Let i = g + -88.034. Let o = 0.966 - i. What is the third smallest value in o, 2\/9, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 3) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1808, -1820, -1842, -1880, -1940?\nAnswer: -2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**4\/3 + 1522*q**3\/3 - 206320*q**2\/3 + 7884800*q\/3 - 2560000 = 0?\nAnswer: 1, 80, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2465*w - 2460*w - 405. What is the remainder when 222 is divided by w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 6)*(1 - 30*a + 76*a + 554*a + 321*a).\nAnswer: -1842*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -29*p - 1181 + 1210 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 1.62126348.\nAnswer: -6.48505392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 4*g + 10. Suppose -g = -c - 4. Suppose 2*j = 5 + c. Solve -4*y + j = -13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n*n**(-1)*n))**(-1\/22)\/((n\/(n*n**3))\/n**(-4)) assuming n is positive.\nAnswer: n**(-23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3253368886 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6557 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 217890.\nAnswer: 217890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 5277 divide 2396085174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 8) + 6 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 o when four letters picked without replacement from {o: 3, x: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of 13*f**5\/5 - 5*f**3\/6 + 5*f**2\/2 - 3232*f. Let r(g) = -52*g**3 + 4*g - 4. Calculate 4*c(a) + 5*r(a).\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**4 - 3 + 3 + 2*d - 2*d - 2*d**4 + (-5*d**2 + d**2 + 2*d**2)*(-2*d**2 + 3*d - 3*d).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 65*t**2 + 503*t - 64. Let r be c(-56). Suppose 5*g - 161 - 19 = 0. Let m = g + r. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3380 by 20.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 214 + 7?\nAnswer: 21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1584 - 16.5?\nAnswer: 1567.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.1 - 3. Let v = 7.1636 + -9.1636. Which is the third biggest value?  (a) p  (b) v  (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -2 - -8 - (-7 + 39 - (-38 - -64))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/12 + 248\/6. Let c(p) = 31*p**3 + 2*p**2 - 1. Let l be c(-1). Let v = r + l. Solve 3*q + q = -v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4635\/6)\/((-78)\/(-208)). What is the highest common factor of c and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 k when three letters picked without replacement from ksbbbsbsko.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h + 377 + 23*h - 24*h)*(2*h + h - h - 3*h + 3*h - h + (-1 + 0 + 0)*(1 - 2*h - 1)) as c*h**2 + d*h + k and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 2345631.75ms?\nAnswer: 0.003878359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 41875830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 8115*h**2 - 2588*h**2 - 2934*h**2 - 2588*h**2 + 0*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -72132.\nAnswer: 1\/12022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -26 and 0.04066?\nAnswer: -1.05716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 5a838723?\nAnswer: 5a83871a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 3, 0.1, 57, 3\/2, 4 in ascending order.\nAnswer: -9, 0.1, 3\/2, 3, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 + 23. Let b be 8925\/39 - (-6)\/y. Suppose 1031 + b = 9*r. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*t**4 - 61*t**3 + 67*t**2 + 6*t.\nAnswer: -t*(t - 1)*(t + 6)*(12*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 4) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v - 13. Let n be s(-7). Let g be -26*(-2)\/n + 9. Which is the nearest to g?  (a) -2  (b) 2  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o - 31. Let s be t(17). Suppose r - 4 = -s*x, -2*r + 3*r = -x + 4. Solve -3*c = 3*b - 4*c, x = 2*b + 4*c - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 + 1760\/(-40) + -67 + 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 - 21*a - 697. Let f be u(-18). Solve 3*w + f*v - 12 = 0, -4 + 24 = 5*w - 2*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 165248392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12679\/418 + -610\/19. What is the common denominator of -81\/20 and v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5270*z - 442671. What is o(-84)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s**5\/3 - 18*s**4 - 26*s**3\/3 + 22*s**2 + 34*s\/3 - 4 = 0. What is s?\nAnswer: -6, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1692)\/(-235))\/((-4725)\/750).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8109*p - 95152 - 257872 - 320023 for p.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 243.7 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by -87314281.\nAnswer: -10\/87314281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 176, 349, 522, 695, 868?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -145, -1306, -4511, -10798, -21205?\nAnswer: -36770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -759.9 rounded to the nearest 10?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 94 - -18912a?\nAnswer: 189202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/8*(-12)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*1*(-1 + 0). Suppose -x - 9 = -3*n - 22, 0 = -3*n - 15. Let h be (x + 7)*2\/870*6. Is r at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -14. Calculate the common denominator of s\/20*3\/(27\/642) and 28\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -3, 1\/209, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 7:02 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 481.64 - 481.5. Which is the third smallest value?  (a) s  (b) -3\/2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 17316186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l**4 + 5*l**4 + 2*l**4)*(3*l - 3*l - 1 + l) + (3*l + 0*l - 4*l)*(l**3 - 2*l**4 - l**3).\nAnswer: 4*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -23315 (base 13) to base 5\nAnswer: -4023423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 762 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, b: 4, m: 1, r: 2, d: 2}. What is prob of picking 2 d, 1 m, and 1 b?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2501, -3918, -6265, -9542, -13749?\nAnswer: -18886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 360 - 879 = -5*m - 369. Calculate the least common multiple of 400 and m.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v + 20*v - 167679 = -27*v. Calculate the remainder when v is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-4*12\/(-5553744)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {p: 4, r: 1, n: 1, v: 1, g: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 17.95, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 740 = 4*w - 11*c, 0*w + 3*w = -15*c - 671 - 355 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6665*x - 140 - 5630*x + 138.\nAnswer: 1035*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/941457 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-170)\/40*(-50)\/170.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 69340427, 277361710, 624063849, 1109446844?\n\"Answer: 69340428*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 39?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 1. Let n(h) = -4*h**2 + 9*h + 5. Let o(v) = -5*m(v) - n(v). Let u be o(-8). Which is the biggest value?  (a) u  (b) 0.3  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -542, 5 in increasing order.\nAnswer: -542, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 80*k**2 + 7*k - 6. What is the least common multiple of 414 and i(1)?\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 2*s - 5*o - 92 = 0, s - 34 = 4*o. Suppose -s*l - 45 = -21*l. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5*(5 - (-34)\/(-10)). Suppose -c = -3*s + 13. Let l(q) = -7*q + s*q + q. Determine l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11 - 35?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of v**4\/12 + 12*v. Let r(q) = 49*q - 14*q - 12 + 12. Calculate f(r(m)).\nAnswer: 1225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - v - 5*l = 14, 0 = -3*l + 6. Is 23 a factor of 30\/v + 437 + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1635*b = 2159*b + 29868 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -526, -13 in increasing order.\nAnswer: -526, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -77 + 519*j - 79 - 83 + 239 to b + s*j and give s.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3249238.\nAnswer: 2, 103, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86 + 88. Let j(t) = 1687*t**3 - 8*t**q + 10 + 0 + 2*t + 3*t**2. Let v be j(-5). What is v rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -137*k + 136*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*f = 20*f - 48 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1043*k + 523*k - 18 = -514*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4\/4 + 557*y**3\/4 - 102663*y**2\/4 + 6119575*y\/4 + 6539203.\nAnswer: -(y - 187)**3*(y + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 1 + 13 = 0. Let n(c) = c**3 - 3*c**2 - 3*c + 5. What is the remainder when 24 is divided by n(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1ac751 (base 14) to base 7.\nAnswer: -11062131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d. Suppose 3*g + 3 = 18. Let h(a) be the first derivative of -20*a**3 - 1 - g + 13*a**3. What is t(h(o))?\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 8*f**2 - 5*f + 5. What is the remainder when t(4) is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 6:02 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/6763 - 344893\/135260. Let y = -11\/4 - o. What is the nearest to y in 0.2, 3, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/1 + (3 - 2). Let y = l + 6. What is the closest to -3 in y, -0.3, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5\/4, 3, -5942?\nAnswer: -5942","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 104942, 104943, 104944, 104945, 104946?\n\"Answer: i + 104941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 2)*(2*p**2 + 0*p**2 + 6*p**2) + 2*p - 3*p**2 - 2*p - 4*p**2 - 3*p**2 + 5*p**2 to l*p**2 + m*p + z and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2394599 * -12.\nAnswer: 28735188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(2\/(-1)))\/(9*18\/405)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 10*t**3 + 12*t**2 - t + 1. Let o(w) = -23*w**3 - 25*w**2 + 2*w - 5. Let k(z) = 3*o(z) + 7*r(z). Calculate k(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -6*l. Let o be (-1)\/(2\/(-20))*1. Let x = o + l. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 5*r - 12 - 1 = 0, b + 6 = -2*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16869 + -16868.74. What is the second smallest value in 0.18, z, -0.1, 4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, o: 1, a: 3, p: 2, c: 2, s: 2}. What is prob of sequence ps?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*(b\/((b*b*(b*b**(2\/7))\/b)\/b)*b)\/b*b**3\/b)**(2\/19) assuming b is positive.\nAnswer: b**(52\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 198, -0.5, -75, 1\/4 in decreasing order.\nAnswer: 198, 1\/4, -0.5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) - (1*sqrt(119) - sqrt(119) - sqrt(119)))*-1 - sqrt(119) - sqrt(119))\/sqrt(7).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-52)\/(-13)*2\/(-4). What is the least common multiple of 11 + 3 + r + -1 and 9\/6*2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 493 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -8898 and 4.2928?\nAnswer: 8902.2928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19912777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 + 4 - 30 - (5 - -27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**2\/5 - 98202972*d\/5 - 1205477963704098\/5 = 0. What is d?\nAnswer: -24550743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 382034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) + -3 - sqrt(11))**2*-5.\nAnswer: -2025 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-54)\/((-4212)\/91).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, v: 4, y: 2, p: 3, h: 9}. Give prob of picking 1 v, 2 y, and 1 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(3*(-2)\/(-10)). Suppose 12 = -4*z, y*z + 28 = 3*w - 2. Factor -5 - h**2 + w - h.\nAnswer: -h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 273714?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/7126 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - ((-7 + (17 - 10) - 10) + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -331120111 (base 5) to base 6\nAnswer: -50323053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, -7\/19, 8, -1.8, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -913, -0.3, -2\/7, -0.1, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**2 + 4*z - 1. Let h(o) = -7*o**2 - 15*o + 5. What is -6*h(x) - 22*q(x)?\nAnswer: -2*x**2 + 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27019 = 5*l + 4*x, 0 = 32*l - 35*l + x + 16225. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-8) - 45\/72.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {c: 3, t: 2, g: 3, u: 1, n: 2, s: 7}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 d when four letters picked without replacement from qqqqqqqd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3004*w - 3817*w = 11712*w + 576150 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00099 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of -z**2\/2 + 7. Let k(b) = 7*b. Determine n(k(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of 2*j**5\/85 + 38*j**4\/17 + 2888*j**3\/51 + 801. Factor v(d).\nAnswer: 2*d**2*(d + 38)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 836 + -1?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1043 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((10 + -21 - -16) + 22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1 + (1*sqrt(2299) - sqrt(2299))*1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 1 + 5. What is the third derivative of -29 + q**2 + 29 - t*q**3 wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42*(-7)\/(-2) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 243862, 487725, 731588, 975451, 1219314?\n\"Answer: 243863*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5612*q**5 + 927*q**2 wrt q.\nAnswer: 336720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 5.9  (b) 0.05  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 539\/3234*((-30)\/21)\/(-5).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -o**5\/5 - o**4\/2 + o**2 + o - 17. Factor g(n).\nAnswer: -(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 16) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 7:57 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of -1\/60*p**5 + 0*p**4 + 0 + 43*p**2 + 0*p + 0*p**3. Let c(o) = 19*o. Give c(z(f)).\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-10)\/(-7) - 2)\/2. Let l = -823588.5 + 823589. Put l, -0.04, m in ascending order.\nAnswer: m, -0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -4*g - 2 - 23, -10 = -5*g. Let u(i) = 58*i + 24. Is u(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 75258 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -z + 7, -3*z + 6*z = -3*m - 3. Solve -n - 8 = -0*n - 5*u, 2*u = m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 10*f**2 - f + 17. Let g be 39\/6 - 4\/8. Is p(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - q - 22 = 0, 2*z - 3*z + 2 = 4*q. Let a be z + 7 + (1 - 0). Solve 0 = a*d - 0*b - 4*b - 24, -5*d - 2*b = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2198 and 43.\nAnswer: 42.7802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 - 2*j**2 - 8*j - 6. Let o be k(-4). Sort 0.2, 3, o, -4.\nAnswer: -4, 0.2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 6*m**3 + 39*m**2 - 9*m - 51. Determine i(-8).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 245 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32956 - -32954. Let n = -842\/7 - -120. Which is the third smallest value?  (a) w  (b) -3  (c) -4  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 4*s = -6, -6 = -j - 4*s - 3. Is 5688\/(-48)*(-2)\/j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 0, -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-18)\/21)\/((-2)\/14). Suppose h*f - 102 = 3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 315828873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lewm when four letters picked without replacement from {w: 7, m: 3, e: 4, l: 1, k: 1}.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30922760 divided by -110.\nAnswer: -281116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 585675 divided by -855.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117078 - -0.1.\nAnswer: 117078.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 529, 560, 685, 964, 1457, 2224, 3325?\n\"Answer: 10*d**3 - 13*d**2 + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (172\/20 + -5)*5. Calculate the lowest common multiple of 92 and c\/(476\/280 + (-1)\/5).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 8 - 5 + 13*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 - 6*w + 9. Let t be b(-13). Is 86282\/(-4)*t\/287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*p - 26076 = 82*p. Calculate the smallest common multiple of 1558 and p.\nAnswer: 9348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15*(18\/(-180))\/(9\/15)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -71.9 - -71.5. Sort -169, a, 2, 1.\nAnswer: -169, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r + 25. Give g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -583*n**2*x + 14584711*n**2 - 11919*n*x**4 wrt x.\nAnswer: -583*n**2 - 47676*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 320 is divided by 320.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s - 2. Suppose -378*o + 86*o = -30 + 614. Let p(v) = -v. Determine o*p(b) + m(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166573 is divided by 3399?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 215617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 5*t + 1485, 3*t + 1845 = 5*z + 368. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 17 + 51*p**2 - 55*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53 + -56. Which is the third smallest value?  (a) -5  (b) -0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2*1)\/(11*24\/78012). Let j = -352 + w. What are the prime factors of j?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 - 337 + 90 + 94 - 38 - 277*p + 96.\nAnswer: -277*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (((-3)\/(-4))\/((-122)\/(-16104)) - (6 + -13))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**5 + b**5 + 0*b**5 + (5*b**2 - 2*b**2 - b**2)*(b**2 - b**2 + b**3).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/(825\/22)*-12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - -1)\/(366\/(-976)) - -11. Let o be ((-18)\/(-8))\/((-6)\/(-32)). Solve -3*c = -t*b, -3*b - b - o = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/318 and -49\/15224520.\nAnswer: 806899560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2471576 and 14971?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + d**2 - d + 1. Suppose -3*n + 2*n + 68 = 4*u, -2*u = n - 36. Suppose -u*m = -13*m. Calculate w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 5*k - 25, 15 = q - 6*k + 3*k. Solve q = 5*w - 3 - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-49)\/((-294)\/16))\/(-4*(-39)\/18)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*f + 3*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 896669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 - 17. Let o = -3 - -2.54. Let x = 0.04 - o. Put 4, x, m in ascending order.\nAnswer: x, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, 4\/3, 24, 227\/43?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 956 = 248. Let t = i - 143. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -8*l + 0*l**2 + 0*l**5 + 0 - 2\/3*l**3 + 0*l**4 + 2\/5*l**6. What is the second derivative of d(b) wrt b?\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-36)\/(-27)*9\/4. Sort i, 5, -3 in decreasing order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 34. What are the prime factors of 7*7\/((-147)\/y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 764188, 764174, 764158, 764140, 764120?\nAnswer: 764098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 4 - 5 - 9)*(0*g**2 - 2*g**4 + 0*g**2).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 11:52 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -1839?\nAnswer: 3678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 12774195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 8:34 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qquqscqsus. What is prob of picking 1 u and 1 q?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.015 + -2196703.48\nAnswer: -2196703.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 14*i**2 + i + 13. Let v be 3*(-3)\/(-9)*(-2 - -8). Is b(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of 0 - 13\/40*z**6 + 3\/70*z**7 + 0*z**3 + 4\/5*z**5 + 0*z - 1\/2*z**4 - 2*z**2. Factor k(o).\nAnswer: 3*o*(o - 2)**2*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 307*v - 1 + 0 to y*v + i and give y.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(7) + (sqrt(441) - sqrt(49))\/sqrt(7)) - 2*(sqrt(700) - -1*sqrt(700))**2 - 5*(sqrt(7)*-1 + 1 + -5*(-1 + sqrt(7))**2 + 2).\nAnswer: -5415 - 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20836, -83363, -187578, -333481, -521072?\nAnswer: -750351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1428 + 1438. Suppose -3*b = 50 - 65. Solve 0 = -b*m + 10*m + n, 2*s - m = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-296)\/168 - ((-112)\/(-24) + -6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*f + h + 3, 2*h + 2 = -2*f. Let v = -8 - -13. Suppose -v*m - 16 = -0*o + 4*o, 3*m = 3*o - 15. What is the highest common factor of f and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (2*sqrt(32))**2)*-3.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -91*y**3 + 52*y**3 + 55*y**2 + 60*y + 20 + 54*y**3 = 0. Calculate y.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5061 + 147?\nAnswer: -4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 662820 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(84\/(-8))*12\/2. Let z(h) = h**3 - 6*h**2 + 7*h - 8. Let w be z(c). Is 3 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*d - 25*d - 45*d to the form w*d + j and give w.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-5)\/5)*((-35)\/(-56))\/5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/3240 and -89\/360?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 377 or -218\/11?\nAnswer: -218\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 45\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -68 - -108. Suppose -3*n - 2*y - 2*y + 9 = 0, -4*n + 4*y + c = 0. Calculate the remainder when 11 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 61562 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*l*r**2 - 65*l*r - 718*l with respect to r.\nAnswer: -18*l*r - 65*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/4*(-60)\/4275*-76.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -2\/7  (c) -0.75  (d) -4  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 4 = 3*n. Suppose -3*t + n*t - 10 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 13 - 4*i + (0 - i + 0)*(-3 - 2 + 4) - 13*i - 4*i + 16*i - 44 as p + r*i and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 4*p**2 - 2*p + 1. Let y be x(-3). Suppose 0 = 4*r - 2*c - y, 0 = -11*r + 6*r + c + 23. Solve 5*m + 6 = o, -3*o + r*m = -4*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.5, -2\/17, 17, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 5*j + 41, -j = 2*p + 51 + 20. What is the remainder when 127 is divided by 128\/(-6)*54\/p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 22 = 6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**4 - 474336*f**3 - 28123855772*f**2 + 56249134560*f - 28124804450 = 0.\nAnswer: -118585, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165*x - 165*x - 169*x + 871*x - 160*x - 46*x - 165*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000550874364 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.8?  (a) -0.3  (b) 1\/2  (c) -3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23\/(253\/132)*(-6)\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 641050700 and 448735490?\nAnswer: 4487354900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 12 = 0, 0*r + 3*r = 4*d - 201. Calculate the remainder when 188 is divided by d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**5 - 414*z**4 - 20722*z**3 - 77586*z**2 - 57276*z = 0. Calculate z.\nAnswer: -129, -74, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(2\/5)*d*d**5)**8*(d**(-2\/7))**(6\/11)\/(d\/(d*d\/(d\/(d**(-2\/7)\/d))*d))**(-4\/27) assuming d is positive.\nAnswer: d**(614204\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1016 + -1013. Suppose -12*t - 37 = 35. Which is the closest to t?  (a) -0.5  (b) j  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + -0.1. Let h = -0.9 - l. Let i be (-7)\/(1274\/42) + (-82)\/(-130). What is the nearest to i in h, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 4247.55 months?\nAnswer: 3.539625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (3 + -6 - -1) - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*j**3 + 739*j**3 - 752*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*f**3*t**2 - 5272*f**3 - 582*t**3 + t with respect to t.\nAnswer: -10*f**3*t - 1746*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*r = -6*r. Suppose 4*x + 5*k - 5 = r, 0 = 2*x + 3*x - 5*k - 40. Suppose n = -x, -t = 2*n + 2*n + 7. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*(z**(1\/2)\/z)\/z)\/z**(1\/4))\/(z\/(z\/z**(-1))*z**(-4)) assuming z is positive.\nAnswer: z**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 1:10 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1328278.\nAnswer: 2, 7, 17, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(1\/((-5)\/(-2))). Let u be (-26)\/x + 6\/15. Let f(a) = -3 + a - 6*a**3 - 1 + u. Calculate f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c - g - 130 + 115, 4*g + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 2.02958 micrograms?\nAnswer: 0.00000000202958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 4\/(-2) + 7. Suppose -213 = k*o - 7*o. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 89499094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l + 4192 = 4*l. Let a = l + -194. Suppose 76 = 4*h + 2*v, -3*h + 39 = -2*v - 4. What is the highest common divisor of h and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 69620 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 7*v**3 - 5*v**2 - 5. Let o(n) = 3*n**3 - 2*n**2 - 2. Let k = -1 - -7. Suppose k*u = u - 50. Let r(a) = u*o(a) + 4*h(a). Factor r(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7532?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 443 and 7.\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/1115775 and -14\/114115.\nAnswer: 878114925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*t**4 - 7*t**3 - 372*t**2 + 3517*t wrt t.\nAnswer: 24*t**2 - 42*t - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, -3, 2, 0, 9106 in descending order.\nAnswer: 9106, 2, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 1825733, 1825735, 1825739, 1825745, 1825753, 1825763, 1825775?\nAnswer: 1825789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 455 = -1009. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 79 and 1264.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9.3, -3\/4, -6, 1, 1\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 26*b**2 + 119*b - 102. Let p(t) = 9*t**2 + 42*t - 36. Let g(q) = -17*p(q) + 6*w(q). Let n(f) = 5*f**2 + 2*f. Determine g(n(o)).\nAnswer: 75*o**4 + 60*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_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 z(m) = -2*m**3 - 4*m**2 + m - 1. Let y be -6*((-6)\/9)\/(-1). Is z(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/5 + 8646244*p\/5 - 1729249.\nAnswer: (p - 1)*(p + 8646245)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.51 - -0.07. Let c = -2.56 + d. Let u = -142 - -997\/7. Sort c, u, 0.1.\nAnswer: c, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3622 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4*i + 29 = 0, -27 = -4*d - 0*d + 3*i. Suppose 1 = -2*f - d. Let y = 10 + f. What is the lowest common multiple of 3 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of f**6\/40 + 5*f**3\/6 - 5*f**2. What is the first derivative of y(b) wrt b?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 7*q**2 - 7*q + 34. Suppose -y - w = -6, 4*y - 18 = 4*w - 2. What is the tens digit of x(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.32*-7\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245084063.\nAnswer: 7, 35012009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**3 + 3*f**3 - f**5 + (2*f**2 + 0 + 0)*(5*f**2 - 5*f**2 - 2*f**3) - 4*f**5 + 3*f**5 + 0*f**5 + 9*f**5 - 476*f + 476*f.\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -7, 7, 4 in descending order.\nAnswer: 7, 5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 2168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 863150821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - 2*t - 1. Let d = 26 - 22. Let r be (6\/12)\/((-1)\/d). What is c(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 315966, 632400, 948846, 1265310, 1581798, 1898316?\nAnswer: 2214870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 - 13. Suppose 7*m - 4*m - 9 = d. Solve m*n + 3 = 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4670190 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2856, -5689, -8512, -11325, -14128, -16921?\n\"Answer: 5*a**2 - 2848*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58626 divided by -6.\nAnswer: 9771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 9*m - 10. Let q(f) = -20*f + 21. Let l(o) = -13*g(o) - 6*q(o). Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -7, 74, 0.01, 1\/3, 35\/4, 1?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -29*b**3 - 20*b**2*z + 51*z wrt b?\nAnswer: -87*b**2 - 40*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 3. Suppose -f + m*f - 5 = 0. Does 3 divide (-1)\/f + 14\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**2 - 6*l**2 - 17*l**2 - 10*l**2.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -4) + (-11 - (22 + -93)) + -13 + 0.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from {g: 1, e: 9, c: 2, i: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -6 - -16 - 1 - 17\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + ((12 - -2) + -13 - -4) - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241083 is divided by 7525?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuppssuupu. What is prob of picking 1 u, 2 p, and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8b11 (base 13) to base 6\nAnswer: 230013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 z, and 2 l when four letters picked without replacement from {i: 5, z: 2, p: 2, l: 2, w: 2}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 - 0.1. Let w = -0.02 - -0.014. Let p = n + w. Round p to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -589 - 292 + 2156 - 2*o + 2649 + 1103.\nAnswer: -2*o + 5027","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 863 from 0.\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2473, 2430, 2389, 2350, 2313, 2278, 2245?\n\"Answer: z**2 - 46*z + 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25 + -19. Suppose -636 = -3*y + g*y. Let k = y + 356. Calculate the greatest common divisor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fifty-two fifths of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 7191044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -131*c**5\/20 - 4*c**4\/3 - 545*c**2. What is the second derivative of d(n) wrt n?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -27*r**2. Let w(x) = -x + 23. Give s(w(o)).\nAnswer: -27*o**2 + 1242*o - 14283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 16) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 300 a factor of 73500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, 13, 100, 221?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(204) - sqrt(204)*-2) + sqrt(204) - sqrt(204))\/sqrt(12))**2 - sqrt(17)) + -3 - ((sqrt(85) + 1*sqrt(85) + sqrt(85))*-2 - sqrt(85))\/sqrt(5).\nAnswer: 6*sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21718759*r**3 + 25363301*r**2?\nAnswer: 130312554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -5*b - 171. Let y be l(-35). Suppose -5*f + 88 = -3*f. Calculate the greatest common divisor of f and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.5 + -5.8. Let i = 1.8 + f. What is the fourth smallest value in i, 4, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3882645 and 1287?\nAnswer: 42709095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -336*x + 4 - x**2 + 343*x + 0*x**2. Let j be h(8). Let r be (-14)\/j*-2*(-1)\/14. Is r less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -234687 - 103*t**3 + 0*t - 221*t**3 + 0*t + 234687.\nAnswer: -324*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/16 and ((-27)\/(-252))\/(2 + 770\/(-388))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 14913585 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/4 + -1 - (-175)\/(-20). What is the lowest common multiple of 18 and ((-90)\/24)\/(r\/12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-42))\/(7\/14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 180731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129400 is divided by 64602?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*g = 0. Suppose 32*b + k = 33*b - 5, 4*b + 4*k = -4. Solve 2 = -b*q - g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 5:24 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.25 to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1750855 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*d**2 + 5*d**2 + 9*d**2 + 0*d**2 - 5*d**2 + 4*d**2 + (-d + 2*d - 2*d)*(-7*d + 3*d + 2*d).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 45130 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -34, -62, -100, -148, -206, -274?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -525, -1979, -4325, -7527, -11549, -16355, -21909?\n\"Answer: 6*x**3 - 482*x**2 - 50*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 - 32 = -5*d + 3*r, -3*r = 5*d - 137. Calculate the greatest common factor of d and 1925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 33355088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (0 + 4 + -2*sqrt(343) + sqrt(343) + sqrt(343) + 1*(sqrt(343) + -3 + sqrt(343) + 4 + sqrt(343)))**2 + -5.\nAnswer: 210*sqrt(7) + 3109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + 46*r + 274. Let h be n(-39). Let v(q) = q + 4. Let b(o) = -1. What is h*v(i) + 3*b(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from pvccvxpcpcu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -21186*o - 1271165. What is j(-60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-462)\/495)\/((-35)\/10)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oeeeocoppfk. What is prob of picking 1 o, 1 k, and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -20*p**3 + 675*p**2 + 1610*p + 360 = 0. What is p?\nAnswer: -2, -1\/4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 771068 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**(-2\/95)*o**(2\/17) assuming o is positive.\nAnswer: o**(1771\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of 0*j**2 + 0*j**4 + 0*j - 1\/2*j**6 - 34\/3*j**3 - 7 + 24\/5*j**5. Find the third derivative of i(n) wrt n.\nAnswer: -180*n**2 + 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 10*d - 6*d, -d + 100 = 3*k. Which is greater: 400\/11 or k?\nAnswer: 400\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*j - 3*j - 7*j)*(2 + 2 - 3)*(5*j - 2*j - 5*j)*(0 + 0 - j**2) to the form i*j**2 + f*j**3 + m*j + x + r*j**4 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 259\/4 + -65. What is the nearest to i in -13, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97316.\nAnswer: 2, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*s - 9*s - 6*s)*(s + 4*s + 0*s)*((0 - 1 - 1)*(0 - 2 + 4) - 38 + 26 + 26) as i*s + w*s**2 + a and give w.\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 228 a factor of 22147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110 + 10 = -64*v - 36*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/((-120)\/(-70)) - (-3)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 266 + -403. Let x = 136.96 + r. Let f = 0.11 + -0.61. Put 0.2, x, f, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 12:54 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + t - 1. Let f(c) = -c**3 + 2*c**2 + 2*c - 3. Let n(o) = -f(o) + 2*j(o). Let y = -3 - -1. Determine n(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4667386902 to the power of 1\/4, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*t + 0*t + 8*t - 4*t - 109 as i + z*t and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3*sqrt(1573) + 1 + (sqrt(1573)*4)**2)*-5 + -3.\nAnswer: -125823 - 165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -0.1, 4.99?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vswg when four letters picked without replacement from wvissiivgviivviiii?\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(17\/4)\/(o*((o**(-27)\/o)\/o)\/o)*(o**(-10))**(-21\/8) assuming o is positive.\nAnswer: o**(119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4*s**3 + 45*s**2 - 4. Let l(j) = j**3 + 11*j**2 - 1. Determine -2*d(b) + 9*l(b).\nAnswer: b**3 + 9*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2. Suppose b + 3*b = 16. Suppose -b*l + d + 95 = 0, -l + 135 = 4*l + 2*d. Let n(z) = 4*z + 25 - l. Determine n(s(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11361 + -181697\/16. What is the common denominator of -1\/564 and o?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -272*w**2 - 1288*w + 22. Calculate k(-5).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3*v - 57. Determine k(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/99 + -172\/1287. Let v = 197 + -194. What is the smallest value in 4, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -177, -2\/15, 2.28 in ascending order.\nAnswer: -177, -2\/15, 2.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/1)\/(3 - 2). What are the prime factors of ((-2)\/(-4))\/(f\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18581.93159 rounded to the nearest 100?\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 65 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-10\/7)\/x*x*x**(-1\/44)*x**(-14)\/(x*x*x*x*x\/(x\/(x*x**(-22)))*x) assuming x is positive.\nAnswer: x**(169\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, 1\/2, 44, -1 in descending order.\nAnswer: 44, 1\/2, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-6)*-2*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(2673) + 1*sqrt(2673)))\/(sqrt(36)\/(sqrt(12) + sqrt(36)\/sqrt(12))))**2.\nAnswer: 288684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.9 + 0.3. Let q = y - 0.2. Which is the closest to 1?  (a) -2\/5  (b) q  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 20523 - 22?\nAnswer: 20501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 694 and 16.\nAnswer: 5552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 10600700 to the nearest one hundred thousand.\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1 + -0.5. Let l = v - 3.6. Let m be 40\/(-28)*6\/15. Which is the second biggest value?  (a) m  (b) -0.2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11\/2 - -139\/26. Sort -3, 0, h, -6\/11.\nAnswer: -3, -6\/11, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -382 + 319 = -21*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -110001101011101010100 (base 2) in base 8?\nAnswer: -6153524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**7\/21 + w**5\/20 + 17*w**2. What is the third derivative of s(q) wrt q?\nAnswer: 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62 - -66. What is the remainder when 17 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0*k - 5 = 0. Let j(s) be the first derivative of 5 - k*s + 6*s - 3*s - 4*s**2 - 11. What is the derivative of j(d) wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.647577028 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 43 - 104 = 0. Let x = -24 - u. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24 + 54. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 2*q + 3*b - 259, q + 5*b - 43 = 0. What is the remainder when 2966 is divided by q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8\/82455 or -1?\nAnswer: -8\/82455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2086 times -9417?\nAnswer: -19643862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**5)**(-42)*h\/(h\/h**(-11)*h)*h\/((h**6*h*h)\/h) assuming h is positive.\nAnswer: h**(-228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.7 from 0.03077.\nAnswer: 1.73077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - f. Let s be h(3). Suppose -14 = -4*p - s. Solve 27 = 5*g - g - 5*b, 3*g = p*b + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -363.8 and 0.2.\nAnswer: -363.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**5 - 2*b**5 - 29*b**5 - 130*b**3 + 130*b**3 - 39*b**5 - b**5 + 2*b**2 - 2*b**2 + (2*b**5 - 2*b**5 + b**5)*(0 + 2 + 0).\nAnswer: -67*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-seven quarters of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3416 - 2576 = -27*s - 228*s + 6758 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let l be 10 - (8*-1)\/(-4). Factor -7 - 3*s**2 - l*s + 0 + 1 - s.\nAnswer: -3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= 277\/79980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38 - 53 - 2677*s - 38 + 129)*(0 + 0 + 2*s).\nAnswer: -5354*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 55*g - 95. Does 9 divide f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9811, -9946, -10081, -10216, -10351, -10486?\n\"Answer: -135*a - 9676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28615, 69884, 111153, 152422?\nAnswer: 193691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.782837 to 2 dps.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -4*u**4 - 4556*u**3 + 1844940*u**2 + 18789100*u + 47255000 = 0.\nAnswer: -1454, -5, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8955*v + 13423 = -9388*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6781 and 8?\nAnswer: 54248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ciiiuuciuuuu. What is prob of picking 1 c and 1 i?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 2708\nAnswer: 541.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 2633040 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of f**7\/840 + 7*f**6\/360 - f**5\/24 + f**4\/8 + f**3 - 12*f. Let c(m) be the second derivative of b(m). Is c(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 398288 is divided by 44240?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22495 divided by -5.\nAnswer: 4499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/81, 1, -2.9, 2?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 375, 371, 361, 345, 323, 295?\n\"Answer: -3*j**2 + 5*j + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/73 in 0.3, -59, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z + 38. Let d be k(17). Put d, 1, -4, 3 in increasing order.\nAnswer: -4, 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81490 rounded to the nearest one thousand?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2 - 36*y - 362. What is the remainder when (-2)\/(-6) + 173\/3 is divided by l(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128\/(-3472)*70\/40.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1711*q - 664*q - 217*q - 21*q**2 - 1.\nAnswer: -21*q**2 + 830*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 374229 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4542*u**6 + 23949*u**2 wrt u.\nAnswer: 545040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.8 in -0.09, 9, -2627?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 541*i = -559*i + 1082*i + 404226. Is 251 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*p = 1047*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*p + 3*p + 7*p + 10*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/((2\/5)\/((-18)\/(-5))). Suppose w*b = 8*b + 115. What are the prime factors of b?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 7, 3, -11, -41, -93, -173, -287?\n\"Answer: -a**3 + a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k + 4902 + 2*k - 4902.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -86.17, 1 in increasing order.\nAnswer: -86.17, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 667338369 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*s**3 + 2*s**3 + 2*s**4 - 2*s - 6*s**4 + 2*s**4 to the form c*s + r*s**2 + k*s**3 + i*s**4 + p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 140180279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*b**3 + 15*b**2 = 0. What is b?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -514 + 514 + 2*g - 4*g + 3*g. Let r(b) = 2*b**2 + 6*b - 6. Determine -r(m) + 4*w(m).\nAnswer: -2*m**2 - 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -4*q**2 + 4*q + 2. Let i(p) be the second derivative of -5*p**4\/12 + 5*p**3\/6 + 3*p**2\/2 + p. What is 2*i(g) - 3*t(g)?\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 1, 3, -213, -5.\nAnswer: -213, -9, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 7, -3 in descending order.\nAnswer: 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 14*r + 11. Let m be l(12). Let f = m - -21. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5149 and 542?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -2*n + 5*b - 8, -5*n - b - 20 = 0. Let t = 65 + -44. Is -4 + t + (-8)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -362.2 + 561.9. Let v = 210.0462 - 0.0462. Let p = v - k. What is p rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + 12 + -8 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of o**3*z - 2*o**2*z + 9801*o**2 + 15*o*z + o - 497*z - 64 wrt o?\nAnswer: 6*o*z - 4*z + 19602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -299 - -3114. Let d = -1607 - -3503. Let i = z - d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38386\/(-17)*(1 + 1)\/(-2) and 18.\nAnswer: 20322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 515504 is divided by 171759.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-979)\/(-5) + 44\/220 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32812928 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*k = 2. Solve -k*p + 3*h = -2*h + 27, 0 = -3*p - 3*h + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -106*q**3 - q**2 - q + 114. List the prime factors of k(-8).\nAnswer: 2, 3, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2587, 5173, 7759?\nAnswer: 10345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11985 is divided by 11954?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3444.828 months?\nAnswer: 287.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -274, -2, 50 in descending order.\nAnswer: 50, -2, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4127*q**3 + 3803 wrt q?\nAnswer: 12381*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, f: 1, d: 3, y: 4, x: 3, r: 1}. Give prob of sequence yf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 6*x**3 + x**2 - 4*x + 3. Calculate w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -512.9  (b) 3  (c) -1\/9  (d) -2\/3  (e) -4  (f) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -536\/7*m + 35912\/7 + 2\/7*m**2.\nAnswer: 2*(m - 134)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 4*l - 3*x, 29*l - 31*l = -x - 12 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 28 = 12*j. Suppose 0 = -j*q + 7690 - 1628. What are the prime factors of q?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 1:53 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) - 2*sqrt(1900)*-5 - sqrt(1900))**2)*3.\nAnswer: -570000 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 59*q - 404. Let r(n) = -42*n + 269. Determine -5*c(i) - 7*r(i).\nAnswer: -i + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*t = 0. Is t smaller than -5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 3*h - 67 + 89 = 0, w + h - 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 661\/(-661)*1*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r + 5*q + 11 + 19, -6 = 2*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3*s + 3. Let r(t) = t. Suppose -9*p - 57*p - 36*p - 102 = 0. Determine p*f(z) - 5*r(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -8a14 (base 16) to base 8\nAnswer: -105024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 271612 and 99?\nAnswer: 2444508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 957 + -910.5. Put -2, k, -3 in ascending order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56971 and 1196?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119689?\nAnswer: 119689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(((-270)\/(-12))\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -320 + 5*y**4 + 362 + 0*y**4 + (0 + 4 - 6)*(y**4 - 3*y**4 + y**4) - 19 - 3*y**4 + 19 as j + z*y + i*y**4 + v*y**3 + l*y**2 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 7*l = 5*l - 56, 3*l = -3*o + 72. Suppose o = 5*a - 59. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 30, -109, -78.05 in decreasing order.\nAnswer: 30, -78.05, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 8*l = 0. Find x, given that 2*x**3 + l + 4\/9*x + 22\/9*x**2 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 143863 - 173030.85. Let j = i + 29178.8500006. Let l = 11 - j. What is l rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/594 and ((-396)\/80190)\/(8\/(-830))?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257056 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 559868, 559866, 559864, 559862, 559860?\nAnswer: 559858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 17708 in ascending order.\nAnswer: 0, 4, 17708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-28)*(-2)\/(-6)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(8\/6 - 1). Suppose -6 = -3*j, -g*j = 2*o - o - 37. Let m(p) = 15*p + 1. What is the remainder when o is divided by m(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2577 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 14, -130 in decreasing order.\nAnswer: 14, 2, -3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*o - 3*g = -9*o + 8 + 49, -171*g = -163*g + 112 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3797211 to the power of 1\/2, to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2752213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 608 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68\/(-8) + 411872\/(-3904)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**2 - 2. Suppose -2*l = 3*w - 4, 5 - 2 = -3*l. Let f(i) = -65*i**2 - 45. Calculate w*f(r) - 45*p(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xdpnxnj. What is prob of picking 1 d, 2 x, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 39193.06 millennia?\nAnswer: 470316720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.9241 - 0.0759. Let b = 26\/9 - 512\/171. Is t smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27 - 8?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1299*b - 784 = 1243*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(114)\/sqrt(2))\/sqrt(3) - sqrt(38)\/(sqrt(50) + sqrt(2)))**2.\nAnswer: -475\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/195)\/((-10)\/65).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - 3*w + 6. Let x(s) = s + 6. Let g be x(-2). Solve 2*u - 16 = -g*v - v, -u = -w*v + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -0*i. Let o(p) be the third derivative of 0*p**3 + 0*p + i - 1\/36*p**4 - p**2 - 1\/90*p**5. Let o(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -116\/117 + 142\/117. What is the closest to d in 0.4, 1730, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 8*f**2 - 138*f - 75. Give c(18).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - (sqrt(104) + sqrt(104)*-4) - sqrt(104)))*4)\/sqrt(8) + sqrt(208)*-2 + 4.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gaaaaaaa. Give prob of picking 4 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 531*h**3 - 16299*h + 32596*h - 16297*h + 175*h**3.\nAnswer: 706*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from hhhrfdhr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -19. Let v be ((-7)\/2)\/(9\/a). Let d = -2 + v. Solve 15 = d*y - 5*z, 3*y + 3*z + 9 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 2*w - 630. Is (-71099)\/w - 2\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.35 - -2.05. Let v = s - 2.1. Is 0.2 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58*d**2 + 997*d**2 + 3 - 99*d - 13*d - 1 - 261*d wrt d.\nAnswer: 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c8edbc (base 15) to base 12.\nAnswer: -3254b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-1 - (-12)\/10). Suppose 4*k + 3*u = 223587, -x*k - 2*u + 165593 + 113889 = 0. Suppose 4*q + k = -6904. What is q rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 7*i = 9*i - 15773, 2*i + 10 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {a: 1, n: 4, f: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 68*q = 67*q - 5, 3*q = -3. Is 29 a factor of (10856\/(-10))\/r + (-21)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199597*w = -197900*w + 101820 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -26.1 to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261724677?\nAnswer: 3, 19, 4591661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 62570778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 40609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -110*s. Let n(p) = -2*p**2. Give j(n(w)).\nAnswer: 220*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a. Let h = -9 - -9. Let v(x) = -2*x + h + 2 - 2. What is v(s(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 8:23 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 857*m - 848*m = 6957. Solve -m*t = -769*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1887 + 3860. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1986037442 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**4 - 7*q**4 + 18*q**4)*(4*q - 4*q - q)*(-5 + 1 + 1) + 29*q**5 + 778 - 778.\nAnswer: 68*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -188.9 - -207.84. Let m = -19 + z. Let c = 220 - 222. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -78492 by 31.\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2804804?\nAnswer: 2, 23, 43, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2076672 and 1690.\nAnswer: 10383360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 4*g**4\/9 - 8908*g**3\/9 + 5818292*g**2\/9 - 931341668*g\/9 + 2341988952 = 0.\nAnswer: 27, 194, 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1819017108698 - -387472472359031611\/213012. Let n = x + -1\/23668. What is the common denominator of 53\/6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 802*o - 53314 = -751*o + 2522 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63440 = -5*h - 82*a + 81*a, 3*a - 38076 = -3*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 407, -1211 in descending order.\nAnswer: 407, -1\/5, -1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 4 - 16 = 0. Suppose 20 = -h*l + 172. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51 + 97. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1492 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = p + 2. Let c be p - -1 - (1 + 1). Let x(u) = -u + 5. Calculate x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 7:20 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 1478 - 1496 = -y, -5*h - 2*y - 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/36*333\/1591.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20521 + 20520.5. Suppose 0 = -5*v - 2*f - 8 + 1, 9 = v + 3*f. Which is the nearest to 9?  (a) -0.2  (b) v  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + 4*n + 0*n)*(18 + 38 + 25)*(4*n**2 + 0*n**2 - 3*n**2).\nAnswer: 162*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 6  (b) 0.12  (c) -621  (d) -0.2  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkknkn. What is prob of picking 3 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/4  (b) 1  (c) 142  (d) 0.4  (e) -10  (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/127 in 1, 3, -1\/7, -5, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (65 + 236760\/(-3640))*(-14)\/(-4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -48\/11  (b) -0.04  (c) -4  (d) 0.4  (e) 11  (f) -1.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -73 divided by 1858\nAnswer: -73\/1858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j**2 + 3*j**2 - 163*j + 161*j - 3. What is b(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/7?  (a) 3368\/3  (b) 0.5  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2518889, 2, -1 in decreasing order.\nAnswer: 2518889, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12881.07l to millilitres.\nAnswer: 12881070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/3 + 11854*p\/3 + 75316.\nAnswer: -2*(p - 5946)*(p + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004762 to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (1968\/2296)\/(3\/7) + (-288)\/138\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Convert -134 (base 6) to base 12.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*k - 13 = 0, -2*d + 5*k = d - 14. Is 14 a factor of 100*d + (-4 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70496 and 79308?\nAnswer: 634464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - 62*t**2 + 81*t - 16. Let y be l(61). Let o = 49 - 21. What is the greatest common divisor of o and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 512 is divided by 249.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*p + 4. Let m be p - (-6 + -3 + 2). What is the highest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(588) - sqrt(132)\/(sqrt(66)\/sqrt(6) + sqrt(11)))\/(4*(2*sqrt(384) - 1*sqrt(486))).\nAnswer: 69*sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 + 7*o**2 + o - 3. Let n = 7 + 0. Let p be v(n). Suppose -3 - 13 = 3*d - 4*k, -k = -4*d - p. Which is bigger: d or -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 7*m + 273 - 299 = 0, -m + 3*m = -0*m + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) -0.1  (c) -20836  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*r*w**3 + 452587*r*w**2 - r*w + 1826*w**3 - 3942 wrt r.\nAnswer: -5*w**3 + 452587*w**2 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1030731 is divided by 211?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 330303938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -8*r**3 - 534*r**2 + 88*r + 137. Let j be b(-67). What is the highest common factor of 87 and j?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 88 = 3*u, 5*u + 22 = 4*v - 156. Calculate the remainder when 242 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + 2 + 2\/2. Let c(a) = -9 - 4*a + 2 + h*a - 3*a. List the prime factors of c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4) + 17 + -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 44*v - 18580 + 5380. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1000010?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -10*(-2)\/(-16).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93053, 93780, 94997, 96698, 98877, 101528, 104645?\nAnswer: 108222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 AM and 8:08 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1172272 (base 8) to base 16\nAnswer: -4f4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-4)\/5*(-15)\/2 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + 109?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28775 + 28776. Let c = 2 - 0. Let w = -1 + -1. What is the third biggest value in i, w, 11, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.68 - 0.7. Let l = 0.02 - v. Let y = l - -0.06. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 346550 and 1450?\nAnswer: 346550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1511 (base 6) to base 10.\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 78707489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 29.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 10:41 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 2 - 8. Suppose i*p - 7 - 2 = 0. Solve 0 = -2*f - p + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266301529?\nAnswer: 13, 20484733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12059\/210 - 856\/15. Is 63\/4 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -66, -168, -304, -474, -678?\n\"Answer: -17*s**2 - 51*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of y**4\/12 - 2*y**3\/3 - 3*y**2 - 3*y. Is 15 a factor of k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -168?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -246, 7, -0.2 in descending order.\nAnswer: 7, -0.2, -0.5, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 4*j + 14. Let r be 4*4*1\/(-2). Is p(r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 124  (b) 4  (c) 2  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*u - 138*u**2 + 7*u + 82*u**2 + 72*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uxddwvxuddu. What is prob of sequence vu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 5*o**4 - 15*o**3 - 100*o**2 + 240*o + 320 = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-18)\/(t**(4\/19)*t)*(t*t\/(t*t\/(t\/(t\/t**(-11)*t))*t))\/(t*t**(-2\/7)))**34 assuming t is positive.\nAnswer: t**(-148886\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 35*s**4 - s**2 + 17*s + 10?\nAnswer: 420*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 61374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 85 + -83. Solve 0 = w*h + h - 9, 5*p = 5*h - 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 6, 0, -23, -5 in ascending order.\nAnswer: -23, -5, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16955 - 8a?\nAnswer: 16887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6 + 147\/18)\/((-28)\/(-6)) and -99\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/(-16) + (-380)\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, -95, 2, -6, 4 in increasing order.\nAnswer: -95, -6, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8 or 10\/17?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 447.67 + -450. Let a = -2.5 - m. Let j = 0.275 + a. What is j rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 835567*n**2 + 91. Let i(x) = 4*x. Determine i(j(q)).\nAnswer: 3342268*q**2 + 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -224803554*j - 84634003 wrt j?\nAnswer: -224803554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 24009.38 tonnes in micrograms?\nAnswer: 24009380000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*d = -25, -17*z + 5 = -12*z - 4*d. What is the smallest common multiple of 48 and z?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from {n: 2, t: 4, m: 2, y: 2, r: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -486 * -4.\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, -11, 588, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (237\/((-876663)\/548))\/(2\/(-63)*-3).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -265 - 12623712*v**2 + 130 + 12623711*v**2 + 135.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -27280, -218255, -736622, -1746079, -3410324, -5893055, -9357970, -13968767?\n\"Answer: -27283*h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 43904, 87795, 131666, 175517, 219348, 263159, 306950?\n\"Answer: -10*c**2 + 43921*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 2 u, and 1 s when four letters picked without replacement from {l: 1, e: 1, o: 1, s: 2, u: 2, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 112*((-20007)\/624 + 32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xdqbhhhbebe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 380, 717, 1054, 1391, 1728?\n\"Answer: 337*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w + 13. Let r = 12 - 21. Let z be y(r). Let q(d) = -z*d + 2*d + 0*d. Let k(v) = -v. Calculate k(q(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44766 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2 - 1 + (0 + 0 + 1)*(0 + 3 + 1))*(3*o**2 - 3*o**2 - o**2) as d + m*o + g*o**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2\/11 - 148*f = 0.\nAnswer: 0, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/153036 and -97\/17004?\nAnswer: 153036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 217\/307 - 1338504\/2149. Let q = 621 + u. Is -1 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 16687.\nAnswer: -3\/16687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4*c = -90, 4*b - 3*b = -4*c + 18. Let d = 54 - b. Suppose 2*j = -0*j - 2*o + 14, d = 4*j + 2*o. Calculate the highest common factor of 77 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 25553069 and -3.\nAnswer: -76659207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*b - 2*b + 4*b + (-3*b - b + 2*b)*(-2 - 7 + 0) to the form m + o*b and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*v - 2*o, -4*v = 5*o + 1 - 16. Let g(z) = z + 2. Let n be g(v). Let k = 6.3 - 6.3. Which is the second biggest value?  (a) 0.4  (b) n  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -24\/25, -2\/25, 0.121?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 8*u**2 - 7*u + 16. Let t be r(-9). Let s be 45\/20 + t + 1\/(-4). Let x(g) = -g**3 - 2*g**2 + 56. Is x(s) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - b + 0*b)*(-6*b**4 + 4*b**4 - b**4) + b**5 + 2*b - 2*b - 9*b**5 - 40*b**3 + 40*b**3.\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(5) + sqrt(40)\/sqrt(8) + sqrt(500)\/sqrt(4).\nAnswer: -5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -47, -1, 2, 5, -5, 12 in ascending order.\nAnswer: -47, -5, -1, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1231034302 (base 6) to base 15.\nAnswer: 13d061e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -9*l**2 - 323502720*l + 323502729 = 0.\nAnswer: -107834243\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - o - 13, 0 = -4*w + 4*o + 25 + 3. Let s be (1 - 3)*(-1)\/2. Let i be ((2 - 2)\/s)\/(-2). Solve i = w*v + v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 13 = -3*j, i = -3*j + 2*i - 11. Let r = j - -2. What is the second smallest value in -1\/3, 0.2, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*h + 99*h - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2796 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 11*u + 7. Let w be c(5). Let v = 50 - 81. Let o = v + w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 1 - 8*w**2 - 4*w**2 + w**3 + 2 + 0*w**2 - 9*w. Suppose 117*r + 9 = 118*r + c, -4*c = 5*r - 49. What is the tens digit of k(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(450)*2*1)\/(((2*sqrt(90) - sqrt(90)) + sqrt(90))\/sqrt(10)))\/(sqrt(360)*-3 + sqrt(20)\/(sqrt(10)\/sqrt(5))).\nAnswer: -sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a + -cd8e3?\nAnswer: -cd8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 95851 and 63?\nAnswer: 862659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1920 and 41712?\nAnswer: 1668480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 7 = 8. Differentiate 7*i**3 - 12*i**l + 3 - 3 + 1 with respect to i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.1  (b) 0.2  (c) -19.5  (d) 171  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 + -1)*(-2 - 1). Suppose -3*m + 67 = 2*i, 0 = -i + 6*m - m + 66. Suppose 4*w + y = 2*y + i, y = -1. What is the highest common factor of w and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(108)*5 + sqrt(108))\/sqrt(12))\/((sqrt(216)\/sqrt(8) + sqrt(27))*4).\nAnswer: -29*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3  (b) -831\/14  (c) 0.5  (d) 2\/21  (e) -1\/4  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let t be (-92)\/(72\/16 - 4). Let l = 183 + t. Let u(z) = -z**3 - z**2 - 1. Let c(i) = 3*i**3 + 4*i**2 + 7*i + 4. Determine l*c(j) - 4*u(j).\nAnswer: j**3 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wxf when three letters picked without replacement from {x: 1, a: 7, q: 2, f: 2, w: 1, l: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a98947 + -a2?\nAnswer: 1a98855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7188 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8101181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 348075311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -2946.\nAnswer: -1\/2946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 37a8b1 + 1f?\nAnswer: 37a8d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - -4 - -24) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.334589 * -3\nAnswer: 1.003767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-284)\/68 + ((-8)\/(-2) - 0). Is i at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*n - 11*n - 7*n)*(-4 + 5 + 1) + (-3 + 3 + 2)*(4*n - 3*n - 3*n) + n - 3 + 3.\nAnswer: -55*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -65 + 79. Let q be (-31)\/(-62) + (-14)\/4. Sort q, h, -1.\nAnswer: q, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 11117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -132452213 (base 6) to base 10\nAnswer: -2650833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.02 and 4099?\nAnswer: 4099.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 397127, 794194, 1191237, 1588256, 1985251?\n\"Answer: -12*s**2 + 397103*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-8)\/148*-481.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.61 + -0.29. Let a = 0.34 - t. What is a rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s**2 + 3*s - s**2 + s - 3*s + s**4 + 9*s**3 - 11*s**3 - 69 as v*s + k*s**3 + r + o*s**4 + w*s**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -67455053, -67455054, -67455055, -67455056?\nAnswer: -67455057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 95 = 2*o - 32, -3*a + o = -85. Suppose a*b + 4*b - 992 = 0. Calculate the remainder when 90 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*v - 0*v + 3*q, 5*v + 4*q = -19. Let k = 3 + v. Suppose -14*s = -13*s - 20. Solve -5*n - 5*d = -s, -d = 3*n - k*d - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65 + 140. Suppose -2*p - 27 = -x. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 5*t**2 + 9*t - 2. Let f(v) = 41*v**2 - 4 - 42*v**2 + 3. Let u(n) = 2*f(n) - r(n). Find the second derivative of u(c) wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19.6157 and 0.5.\nAnswer: -9.80785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llxlxolxlllxxoxxxt. What is prob of picking 2 x and 2 l?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 + 44 = 3*z. Let i = z - 25. Does 18 divide (10\/i)\/((-11)\/286)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v + 14. Let o be l(11). What are the prime factors of 8*o\/((-6)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3609?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1115 divide 1936755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2515 is divided by 2456.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-6)*(-4)\/12*96\/336\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*u + 36*u - 205*u + 32*u + 37*u + 69*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 22*t. Let c(n) = n + 10. Let g be c(-11). Let h = g + 3. Is r(h) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.7563 - 1.84481. What is c rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) -0.1  (c) 181  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.308 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9334082m in micrometers?\nAnswer: 933408.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*c - 11. Suppose 0 = 2*i + 2*z - 2, 2 + c = 5*i - 3*z. Solve -i*k + k = -3*b - 14, -5*k = -5*b - 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/105*(-1)\/2*91\/(-338)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y + 10. Let v = 11 - 27. Let b(p) = -p**2 - 14*p + 37. Let a be b(v). What is the smallest common multiple of f(a) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 52\/27  (b) 0.4  (c) 5  (d) -0.5  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 315443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbj when three letters picked without replacement from sjsqqssqssssssqsbsq.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/42*-99*(-52)\/858?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -6*c**2 - 17*c + 2. Let z(w) = -w**2 + 2*w. Calculate -s(b) + 2*z(b).\nAnswer: 4*b**2 + 21*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 649.5475 weeks to hours.\nAnswer: 109123.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 4*q**2 - 8*q. Calculate c(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -6*s**2 + 6*s + 4. Let o be 112\/(-18) - 4\/(-18). Let a(p) = 7*p**2 - 7*p - 3. Let w(t) = o*r(t) - 5*a(t). Let g be w(4). Solve -f = g*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 1. Let j(a) = 2 - 2 + 4 + a**2. Let s(l) = -j(l) + 4*t(l). Let y(z) = -z**2. Let q(m) = -8*m**2. Let u(r) = -q(r) + 4*y(r). Determine u(s(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 27, 4, -4 in decreasing order.\nAnswer: 27, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -672*g. Let x(i) = -170778*i. What is x(y(t))?\nAnswer: 114762816*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x + 26. Let m be d(10). Let j(s) = 4*s - 23*s + m*s. Let q(n) = 5*n. Determine j(q(y)).\nAnswer: -65*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -670587 - 704?\nAnswer: -671402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120\/(-18)*(-6)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/2 + -12 + 2. Let t = f - -11. Solve -t*a - 8 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -801, -1602, -2403, -3204, -4005?\n\"Answer: -801*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 AM and 4:18 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 - -8. Let i = 37 + m. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c**3 + 223*c**2 - 107*c + 921. Calculate the least common multiple of 1911 and g(111).\nAnswer: 9555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g**2 - 94*g - 261. Calculate r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 326\/145 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/((sqrt(45)\/sqrt(5))\/sqrt(3)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 8*j + 2. Let z(g) = -2*g. Calculate z(d(m)).\nAnswer: -16*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 288 and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -f**3\/3 - 6*f**2 - 5*f - 10. Let k be s(-11). Let d = -24 - -72. What is the greatest common factor of d and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 81 + (417 - 449)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l - 3. Let s be q(-10). Let v = -6 - s. Find c, given that c**2 + 0*c + 4*c**2 - v*c + 2*c = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*y + 5*y - 10*y as c + v*y and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 6*b - 4*b - 12, 0 = -2*b - 6. Solve 2*s = 2*h + q, -s = 3*h - 0 + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**5 + 2*y**4 - 3*y**3 - 4*y**2 + 4*y.\nAnswer: y*(y - 1)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 4*c + r = 11, 4*r = -3*c + 26. Suppose -2*l = 0, -3*h - 3*l = c*l - 24. Let w = h + -7. Solve 0 = -3*u - 13 + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 9*o - 23. Suppose -281*n = 340*n + 3726. Determine z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2. Let r(z) = -37*z**2. What is w(r(u))?\nAnswer: -1369*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*u**3 - 3 - 15*u**2 - 8*u**2 - 20*u**3 + 3.\nAnswer: u**3 - 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c**5\/7 - 2*c**4\/7 - 5*c**3\/7 + 6*c**2\/7 = 0. Calculate c.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (17 + -1 - (-57 - -74)) - -43.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -11*s - 1. Let a be 0\/10 + (-2)\/(-1). Suppose -a*y + 3 = -3. Suppose 1 = y*g - 2*g. Calculate j(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36 - -92) + (2 - 9) - 0) + 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*u - 5463 = -124*u. What are the prime factors of u?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*w - 9*w - 2 + 2 in the form p*w + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 3*m - 3*m)*(-4*m - 2*m + 2*m)*(-9 - 2 + 0)*(-2 + 3 + 1)*(0 + 3 + 3).\nAnswer: -528*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 195066442 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*c - 24832 - 1628 = -360*c for c.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 6*m + 96. Let c be x(-13). Let d(h) = 105*h - 45. Does 48 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -82 < -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 211042?\nAnswer: -211044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0  (b) -123\/13  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/2 + 2601*x\/2 + 1300.\nAnswer: (x + 1)*(x + 2600)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvhhhvvvvv. Give prob of sequence hhv.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2 - 5262*a + 5304*a - 2 + 2 - 2*a + a - 2*a + 0*a + (-a - 2 + 2)*(4 - 3 + 1) - 2*a - 1 + 1.\nAnswer: 35*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3143 is divided by 1089.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ajl when three letters picked without replacement from jjylyjyyyjaljly.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*(v*v\/(v**(-4\/11)\/v))\/v*v*v)\/v)\/(v\/(v*v**(-2\/9)*v))*((v**22*v)\/v)\/(v*v*v*v\/(v*v**(-4\/15)\/v)*v*v) assuming v is positive.\nAnswer: v**(10828\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j + j + 0*j + (-3 + 2 - 1)*(-3*j + 5*j + 3*j) + 2*j - 3*j + 3*j + (-1 + 1 - 1)*(-1 + 3*j + 1)*(-5 + 4 + 3).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -26*q + 1. Let f be n(1). Let d be ((-4)\/5)\/((-10)\/f). What is the common denominator of -1\/12 and 178\/20 - (d + 5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/6 + 595*f\/2 - 1787\/3.\nAnswer: (f - 2)*(f + 1787)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 8*v**3 - 9*v**2 + 6*v - 10. Suppose -j + 5*r = 54, -3*r - 90 = 4*j + 80. Let c be 8 - (8\/j + (-26)\/(-22)). Is w(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 86\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2393132, -4786267, -7179402, -9572537, -11965672, -14358807?\n\"Answer: -2393135*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 3*t + 120. Let d be -2 - (-3 + (3 + 4 - -4)). Let i = t + d. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 24*f**2 + 12*f + 17. Is p(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 432 is divided by 89?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 0.3, 2\/7, 4, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (1 - (9 + -15)) + (22 - 3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from npgbgqpw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -816, -1605, -2380, -3135, -3864, -4561, -5220?\nAnswer: -5835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4079\/10 + -406. Let f = -415332299\/114755508 + -2\/1687581. Let p = -31\/153 - f. Calculate the common denominator of p and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 41. Let y = t + 21. Which is greater: 2\/61 or y?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15*v + 7*v + 19*v)*(-2 + 3 - 2)*(5*v - 3*v - v) to f + u*v + s*v**2 and give s.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxx. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.04  (b) -0.2  (c) 364\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**4 - 111*q**3 - 3197*q**2 - 24465*q + 62622 = 0 for q.\nAnswer: -71, -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 2:22 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 167*d**2*i*v**2 + 10*d*i*v**2 - 3*i*v**2 + 30*i*v + 12*v**2 - 10*v wrt d.\nAnswer: 334*d*i*v**2 + 10*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 42\/9 + (-3)\/(-9). Suppose 0 = 6*h - h - 20. What is the second derivative of 7*m - 3*m**n - 5*m + h*m - 2*m**5 wrt m?\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 44*a - 161. What is c(12)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from vxuuxfjjxuu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 1\/8*h**3 - 1\/8*h**4 + 3 + 1\/40*h**5 + 0*h**2 + 0*h. Solve i(s) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**4 - 9*t**3 + 54*t**2 + 96*t - 288.\nAnswer: -3*(t - 3)*(t - 2)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -520.1 - -520. Let h be 2\/3*(-30)\/(-4). Which is the closest to v?  (a) h  (b) 3\/8  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 15  (b) 6  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 11856544 = -1476024. Suppose a + 2930858 = -6*l. Round l to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4442 and 9816.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-8198)\/(-25) + 24\/300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2933*d = 279727 + 70703 + 4463 for d.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -5. Let t = w - -0.9. Let g = 1054 + -1053.8. Which is the closest to 0.8?  (a) g  (b) 0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 + 1 = -4*k + 2*q, 3*k - 5*q = -11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + c)*(3 + 2 - 3)*(-c + 2*c + 3*c)*(-5*c - 9 + 9 + (1 + 0 + 0)*(-2*c + 2*c - 2*c)) as b + w*c**2 + v*c + o*c**3 and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - 2*w**2 - w)*(0*w**3 - 3*w**3 + w**3) + 1329*w**3 + 25*w**5 - 1329*w**3 - 3*w**5 + 2*w**5 + 0*w**5.\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3*(-7)\/(231\/2). Suppose 6 = -0*x + 2*x + i, -5*i - 18 = -2*x. Which is the closest to x?  (a) j  (b) 0.5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -259*p**4 + 206*p**3 + p**2 + 138869 wrt p.\nAnswer: -1036*p**3 + 618*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 204165092\/7 or 29166442?\nAnswer: 204165092\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33.3, -7093, -2\/47, -2 in decreasing order.\nAnswer: 33.3, -2\/47, -2, -7093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*j + 57. Let x = 22 + j. Let m(p) = 2*p**2 + 2*p - 1. What is the lowest common multiple of m(1) and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2436 smaller than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 2)*(4 - 4 - c) + (-3 + 2*c + 3)*(-15 - 14 + 13).\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**0*c)**(-26\/3)*((c\/(c**(-3\/34)*c)*c)\/c)**2 assuming c is positive.\nAnswer: c**(-875\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*l, l = 4*c + 5*l - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 76, 84, 96, 112, 132, 156, 184?\n\"Answer: 2*z**2 + 2*z + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 11*p - 8. Let m = -2 - -5. Let d(k) = 4*k - 3. Let r(c) = m*q(c) - 8*d(c). Let y(n) = -n + 2*n**2 + 0*n + n. Calculate r(y(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*a + 31*a = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3799986.884 + -3799980.454000411. Let m = 6.43 - u. What is m rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - q**2 - 3*q + q**3)*(-q + q + q**2 + (4*q - 2*q + 0*q)*(-2*q + 4*q - q) - 3*q**2 + q**2 + q**2 + 237001 + 2*q - 237001 - 171*q**2).\nAnswer: -169*q**5 + 171*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/((945\/(-6))\/15).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 286 and 7105670?\nAnswer: 7105670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95620.9968 nanoseconds to weeks.\nAnswer: 0.0000000001581035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -62*l - 181. Calculate the smallest common multiple of g(-3) and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of -q**6\/15 - 3*q**5\/4 - 91*q**3\/6 - q**2\/2 + 112*q. Find the second derivative of y(k) wrt k.\nAnswer: -24*k**2 - 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -459766038, -459766040, -459766042, -459766044?\nAnswer: -459766046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3*sqrt(2) + 2).\nAnswer: -12*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 65.5?  (a) -5  (b) -0.4  (c) 0  (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/22 and -24\/1705.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135*s + 2255*s - 1004*s + 67*s + 1194*s.\nAnswer: 2647*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 7*g**2 + 3*g - 25. Let t(n) = -35*n**2 - 17*n + 124. Let j(h) = -6*t(h) - 33*z(h). What is the first derivative of j(a) wrt a?\nAnswer: -42*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1375438553?\nAnswer: 61, 167, 135019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -3*l - r, r = -3*l - r + 30. Let z = 532 - 515. What is the remainder when z is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*y, -2*o + 5*y = -0*o + 6. Let z(j) be the first derivative of 1\/2*j**o - j + 3. Differentiate z(p) with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*l - 911*l**2 - 4 - l + 912*l**2 in the form w + k*l**2 + v*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*y + 11*y - 16264*y**3 - 58*y**2 + 16272*y**3.\nAnswer: 8*y**3 - 58*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38\/5 + -332\/45. Is f smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 536, 547, 566, 593, 628, 671, 722?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4*f**2. Let q = 40 - 38. Let m(b) be the second derivative of 5*b + 1\/12*b**4 + 0*b**3 + 0*b**q + 0. Determine m(y(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -79.58 - -79.82. Sort -5, -0.2, 0, u in descending order.\nAnswer: u, 0, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 - 24 - a**3 + 2*a**3 + 24.\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.076  (b) -234\/5  (c) 2  (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**3 - 212*x**2 + 1746*x + 78. Calculate s(97).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 76 = 5*h - 144, -3*c - 220 = -5*h. Let i = -707 + 717. What is the lowest common multiple of i and h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2003, -4027, -6051, -8075?\n\"Answer: -2024*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2193302395 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 - v**2 - 2*v**2)*(-14*v**2 + 19 - 19).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -114b1 - -32?\nAnswer: -1147b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.9975 - 7. What is h rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 - 1. Suppose -3*v = -205 - 2. What is the remainder when v is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -0.155  (c) -1\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + (3*1*sqrt(84) - sqrt(84)) + sqrt(84))) + sqrt(84))\/sqrt(3))\/(1*(sqrt(4) + sqrt(448)\/sqrt(7) + sqrt(4))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 12 = -p. Suppose 0*z = -4*z + 60. Let u = z - 6. Calculate the highest common divisor of p and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -z - 0. Suppose z - 7 = -t. Suppose 0 = -0*u - t*u + 56. Calculate the greatest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101111 - 1010011010?\nAnswer: -1000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -2*z**5\/15 - z**4\/24 - z**3 + 10*z. Let k(s) be the second derivative of q(s). What is the first derivative of k(t) wrt t?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*i = 45*i + 108 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/13 + 250*z\/13 - 508\/13.\nAnswer: 2*(z - 2)*(z + 127)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*j + 31*j + 106*j - 12*j.\nAnswer: 143*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 455 and 58555.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-16))\/(20\/24*468\/(-3120))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 + 4*c**2 + 7*c - 10.\nAnswer: -(c - 5)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -6*x - 18. Let z(s) = s + 3. Let u(l) = -6*b(l) - 39*z(l). Let o = 64 + -72. Let p be u(o). Solve -8*w - p = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t - 15. Suppose -4*o - 3*i - 43 = 0, -o + 5*i - 3*i - 8 = 0. Let q be z(o). What is q rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -658 divided by 47.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 172550 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4247098963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -136170 rounded to the nearest one thousand?\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 339754217 to the power of 1\/2, to the nearest integer?\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.799 + -8.799. Let i = -2 + 2.3. What is the third biggest value in 1\/4, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -627\/2 - -286. Let x be 38\/8 - (-3)\/(-4). Calculate the common denominator of p and 71*x\/(-16) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15302 - 15017. Solve r*c - 278*c = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 37875 and 8585?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 237 or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -2. Let x = 2 + k. Solve -13 = 5*t + x*p, -4 = t + 6*p - 4*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -148, -382, -794, -1396, -2200?\nAnswer: -3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(1\/7)*x))\/(x**(-13\/5)\/x) assuming x is positive.\nAnswer: x**(86\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/16)\/(((-2)\/(-1))\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 3*l + 40. Let o(m) = 3*m + 1. Let c be o(-1). Sort 3, l, c.\nAnswer: l, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggggggggeggggeeg. What is prob of picking 2 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*n - 954 = w, -n + 2363 = 5*w. Suppose 2*r - 3*u - 258 = w, 0 = 4*u - 20. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**1)**(7\/2)\/(l*(l**0*l*l)\/l)**(5\/7))**25)**(-7\/5) assuming l is positive.\nAnswer: l**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -25 - 11. Let l = 6 + f. Suppose -3*i - 40 = -166. What is the remainder when i is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4*y - 7*y = 15, -3*f + 15 = y. Suppose 0 = f*m + k - 2*k - 13, 2*m + 4*k = -8. Solve -4*h + 18 = 2*z, -5*z + 2*h + m*h - 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1943*-64.4.\nAnswer: 125129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -x**5\/4 - 6*x**4 - 99*x**3\/4 - 19*x**2 = 0.\nAnswer: -19, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -3*i**6\/10 + 3*i**5\/10 + 3*i**4\/4 - i**3 + 3*i. Factor v(x).\nAnswer: -3*x*(x - 1)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -17297.\nAnswer: -8648.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -6. Let d be (72\/30)\/(w\/(-5)). Suppose 397 = b - 4*m, 0 = 3*b + 2*m - d*m - 1191. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + 7*j + 9. Calculate the remainder when d(11) is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 692 - 7614\/11. Which is the nearest to i?  (a) -2\/11  (b) -2\/19  (c) 0.4  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -523e - -10e?\nAnswer: -5130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/4 or 918?\nAnswer: 918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - -3972?\nAnswer: 3977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45 + -34. What is the second derivative of 80*a**5 - 2 + 18*a**2 - y*a - 18*a**2 wrt a?\nAnswer: 1600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 282884935?\nAnswer: -282884930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 7)\/((-465)\/186).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**5 + w**4 - w - 1. Let t(y) = -370*y**5 - y**4 + 11*y**2 + y + 3. Let z(h) = l(h) + t(h). Find the third derivative of z(i) wrt i.\nAnswer: -22140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o - 5. Let t(p) = -p + 2. Let y(b) = -7*t(b) - 4*u(b). Let a(d) = -d + 5. Determine -6*a(x) + 5*y(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k - 3*k**2 + 2 - 1 - k + k**2. Suppose 0 = 6*c - 17*c + 44. Determine w(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1796759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.214, -4, -1, 0.273, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -3786c3?\nAnswer: 3786c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xfxffffxxxff. What is prob of sequence xxff?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2200465 and -4.\nAnswer: -2200469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1946 greater than or equal to 1960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 158202 and 36.\nAnswer: 316404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 140\/1700437 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-32)\/304*950\/(-50). Let -5\/2*f**3 - 6*f**4 + 9\/2*f**5 + 0 - 2*f + 6*f**j = 0. What is f?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 9 = 7. Let j = 30 - 2. What is the greatest common divisor of j and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of u**5\/60 + u**4\/4 + 3*u**3\/2 + 3*u**2\/2 + 7. Let m(o) be the second derivative of j(o). What is m(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -262.747156882 less than -0.4?\nAnswer: 262.347156882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 9. Let m(w) = w - 15. Let j be m(7). Let c be v(j). Suppose -c = x - 71. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 plus 311?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(24\/11)\/(i*i**(-9\/2)*i*i))\/(i**4)**(2\/73))**4 assuming i is positive.\nAnswer: i**(11474\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = l + 4, 0*t + 3*t + 4*l + 16 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 1 + 1)*(13*d - 85*d - 44*d) to r*d + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10521774 by -6.\nAnswer: -1753629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 1 + 1 + (5 + 0 - 3)*(0*f + 3*f - f))*(-297 + 657*f - 288 + 581).\nAnswer: 1971*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -759*f + 461*f - 833*f as h + y*f and give y.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 320 = 5*m, -4*m = -t + 2*t - 80. Let h = -1729 + 1749. What is the greatest common divisor of t and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1620*u**4*x - 3*u**2*x + u*x - 8*x + 658 with respect to u.\nAnswer: 6480*u**3*x - 6*u*x + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of q**7\/840 + 37*q**4\/8 - q**3\/3 + 10*q**2 + 85. Let b(x) be the third derivative of o(x). Differentiate b(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b**5 + 124*b**4 - 1492*b**3 - 1168*b**2 + 1486*b + 1044 = 0 for b.\nAnswer: -29, -1, -2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5634117941 - 5634117937.892998681. Let m = 3.107 - k. Round m to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 3, 5, -54 in increasing order.\nAnswer: -54, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 60419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15380 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289793924.\nAnswer: 2, 7, 113, 91591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from kfkkkkf?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t - 2. What is k(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134 is divided by 113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 222580872 a multiple of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -27204*a**3 + 8*a**2 + 4*a - 7. Let z be o(-5). Let v = 27125365\/8 - z. Let w = -9990 - v. What is the common denominator of w and -101\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7.96 - -8. Let d = b - 0.040026. What is d rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 996\/15 + 2\/(-5). Suppose 46*y = 44*y + 12. Calculate the smallest common multiple of (-2)\/5 - d\/(-15) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.28*-28821427\nAnswer: -8069999.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*-1*(5 - 7)\/2. Suppose -13 = 2*g - 5*t, -2*g + t - 15 = -2*t. Let l be g\/(-30)*15\/18. What is the second biggest value in 0, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1327*i - 2618*i + 762*i.\nAnswer: -529*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 172973.\nAnswer: -2\/172973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 82, 150, 250, 400, 618, 922, 1330, 1860?\n\"Answer: 3*g**3 - 2*g**2 + 53*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 + 7)*(0 + 0 + z) - z - 5*z + 2*z + (5*z - z - 3*z)*(-1 + 5 - 2) in the form j + o*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 123 - -40. Suppose 3*g = -4*h - 21 + p, 3*g - 105 = -3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10 or -380696?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(2\/3))**0)**(-22) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*o**4\/6 - 10145*o**3 - 185136065*o**2\/6 + 123545810*o - 370759210\/3 = 0. What is o?\nAnswer: -6089, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 64710 divided by 21570?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*d = -61*d - 3*u + 27, -13 = -3*d + 5*u. Solve 0 = d*a - 5*a + 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/(-2873) - (-4)\/(-68)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 192584.\nAnswer: 1\/24073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide (5524 - 23)*(3 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 + 1 - 6*p**2 + 10*p**2)*(p + 5*p - 4*p).\nAnswer: 6*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*v - 14*v**2 + 43*v - 2 - 3*v**2)*(999 - 999 - 40*v).\nAnswer: 680*v**3 - 40*v**2 + 80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 339075360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009735522 to 6 decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 s when four letters picked without replacement from sbbbsbs?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**2 + 3*x**2 - 2*x**2)*(0 + 0 - x**2) - x**2 + 0*x**2 + 9*x**4 - 6*x**4.\nAnswer: 5*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - j - j - 124 - 9 = -23, -605*j = -5*d - 3175 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 2 - (166*2\/(-44) + 7).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 101*j**2 - 2*j. Let n(a) = 16*a**2 - 12*a**2 - 6*a**2. Determine p(n(f)).\nAnswer: 404*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 14*x**2 + 10*x - 3. Let l be f(-4). Let p(d) = -1 + 3 + 182*d - l*d. Give p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/4 - 46607769*q\/4 + 23303885\/2.\nAnswer: -(q - 1)*(q + 46607770)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1589557 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 5, -268396 in increasing order.\nAnswer: -268396, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(-6))**(2\/61) assuming v is positive.\nAnswer: v**(-8\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 > -2\/10397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39810 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - 31*h**2 - 13*h + 363. Let j be l(-30). What is the third biggest value in j, -1\/8, 4, 1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -341294, -340860, -340408, -339932, -339426?\nAnswer: -338884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c. Let p(d) = -d - 1. Let w(r) = a(r) - 2*p(r). What is the smallest common multiple of w(2) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10011010100 - -10?\nAnswer: 10011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.639829 and -19.\nAnswer: -69.156751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 + 7*l - 7. Calculate a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1617103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 + 19. Suppose 5*n = -p - 0*n - 25, -n - 21 = p. Let c = -7 - p. Calculate the remainder when z is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 less than 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of -29\/5*y**5 - 7*y**2 - 2\/3*y**3 + 2*y + 0 + 0*y**4. Find the second derivative of v(k) wrt k.\nAnswer: -696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - t + 20*t**3 - 30*t**3)*(-t**2 - 4*t**2 + 19*t**2) - 2*t**5 + 2*t**5 + t**5 + (-2*t**3 + 0*t**3 + t**3)*(2*t**2 - 4*t**2 + t**2).\nAnswer: -138*t**5 - 28*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 174 + -174. Suppose f = -v - 3*x + 42, -4*v + v = -x - 96. Let w = 32 + -14. What is the lowest common multiple of w and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -7*c**2 - c + 488. Let j(h) = -10*h. Determine j(d(m)).\nAnswer: 70*m**2 + 10*m - 4880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r. Let t(k) = 361*k**2 - 509*k. Calculate t(f(h)).\nAnswer: 361*h**2 - 509*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -8*d**4 + 484*d**3 - 1528*d**2 - 3916*d + 2280 = 0.\nAnswer: -2, 1\/2, 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 14*w. Let n = 29 - 46. Let q = -16 - n. Let g(l) = 3*l - 1 - 4*l + q. What is g(f(h))?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 4*o - 2*f + 835, 833 = 3*o + f. Suppose -p + 5*p = -3*d + 206, 4*d = -3*p + o. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 10:25 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18\/(-10)*((-256309)\/51 - 11)?\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 284a1 (base 11) to base 14.\nAnswer: 10aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20558370*h**4 + 49570771 wrt h?\nAnswer: -82233480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1118 + -1113. What is the second smallest value in j, -0.4, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 414653 - 0.\nAnswer: 414653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*h**2 - 13*h**2 - 9*h**2 + (-3*h - h + 5*h)*(-2*h + h + 0*h).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d**3 - d**2 + 190*d + 347. Calculate q(10).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x + 1. Let p(i) = 2*i**2 - 4*i - 4. Let f be (-42)\/11 + (6 - 540\/66 - -2). Suppose -3*n - 1 = -2*n. What is f*g(y) + n*p(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -917566*q**5 + q**3 + 5237*q**2 + 4*q.\nAnswer: -55053960*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of 0*h + 1\/24*h**4 + 2*h**2 + 0 + 0*h**3. Let v(f) be the second derivative of -f**3\/6 - 3*f. What is g(v(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 604263 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 2*v**2 - 1. Give m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 0*s + 5*s + 21 = 0, 5 = -s. Let g be (0 - -1)*(3 - d). Suppose 5*w - 3*w = -g*n + 14, -31 = -4*n - w. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 0, -296, 2, -1.\nAnswer: -296, -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, r: 2, e: 2, u: 2, c: 1, i: 1}. Give prob of picking 1 i, 1 r, and 2 e.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i**(-5)*i)*i*i**(-1))\/(((i\/(i\/(i*i**(2\/17))))\/i)\/i*i**(4\/7)*i) assuming i is positive.\nAnswer: i**(632\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(832) + sqrt(832) + (sqrt(832)*-2 - sqrt(832))))\/(-2*sqrt(324)*4 + sqrt(324)))**2.\nAnswer: 5200\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 286 + d + 2*d**5 - 1401 + 1071072*d**3 - 1071074*d**3 - 163*d**2 wrt d.\nAnswer: 40*d**3 - 12*d - 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 134 + -1208\/9. Sort -8, 7\/5, s in decreasing order.\nAnswer: 7\/5, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45 + -43. Calculate the remainder when 45 is divided by w\/((5 - 7)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**2 + 6513*l - 96 + 324 - 6505*l to the form q + w*l + c*l**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/5 - 1123*c**3\/5 - c**2\/5 + 1123*c\/5.\nAnswer: c*(c - 1123)*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 33  (b) -105  (c) 2  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -910, -3653, -8224, -14623, -22850?\n\"Answer: -914*q**2 - q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -v**6\/3 - 16*v**5\/5 + 5*v**4 + 16*v**3\/3 - 9*v**2 - 54. Solve i(g) = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q**4 + 3*q**4 + 4*q**4 + (-1 - 1 - 1)*(4*q**4 - 5*q**4 - 6*q**4) + (2*q**2 + 0*q**2 - 3*q**2)*(q**2 + q - q).\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (713\/(-186))\/(-23)*21*(-264)\/21.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -7*z**5\/5 + 22*z**3\/3 + 7*z**2\/2 - 42*z - 64. What is the second derivative of q(f) wrt f?\nAnswer: -84*f**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87860 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(0 + sqrt(2) + 3) + sqrt(16)\/((2*sqrt(8) - sqrt(8))*3))**2*5 + 2.\nAnswer: 40*sqrt(2) + 583\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3*n - 28. Let w(i) = -4. Determine -28*w(d) + 4*x(d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -643 divided by -32977.\nAnswer: 643\/32977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -765.395 + 766. What is d rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - o + 1. Let x be h(2). Let p = -0.1 - 16.9. Let r = -18 - p. Is x < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1795*l - 1547*l + 46039 = 196429 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (71 + -68 - 7 - (1 - 93)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 150978742 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7167.094 + 7150. Let q = m - -16.8. Let s = -0.076 + q. What is s rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57 - 7.16. Let s = l + 0.16. Let j = -55 + s. What is the closest to -0.3 in j, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -3*y**5 + 594*y**4 - 13455*y**3 - 208032*y**2 - 486720*y = 0?\nAnswer: -8, -3, 0, 40, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -126*j**2 + 1244*j + 2. Give m(10).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 75*s + 368. Determine r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -0.1. Let a = 0 - -1. Sort f, a, -3.\nAnswer: -3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of 661247*m**3\/3 - 24*m**2 - 86*m. Let g be c(-8). What is g rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 10*d + 8. Let j be l(6). Which is greater: 34 or j?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 11:06 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of -c**4\/72 - 7*c**3\/36 - c**2\/2 + 31*c. Solve m(x) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -2\/27  (b) -1  (c) -558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 15. Let z = -13 + 15. Suppose -h = z*h + 18. Are a and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-7))\/((6\/49)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -7) + (0 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -1.6, 4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 9) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 5*s**2 - 9*s + 7. Let g(d) = 9*d - 4. Let o be g(0). What are the prime factors of k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 2)*(q - q - 2*q + (-2 + 2*q + 2)*(1 - 5 + 3) - q - 5*q + 2*q).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * -46.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -3 + 10 + -11 - (-14 + 5 - 44451)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358843483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b - 1. Let s(j) = -6661*j + 3. Let l(r) = -10*f(r) - 2*s(r). Let x be l(3). What is x rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k\/(k*k**(-2\/9))*k)\/k*k))**(-2\/37)\/(k*k*k*k\/(k*k**2*k)*k)**(1\/5) assuming k is positive.\nAnswer: k**(-313\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13.7 - -11.7. What is the closest to 0.04 in 5, -1\/6, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 m when three letters picked without replacement from wmwmmm?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (209\/(-95))\/(-1)*(0 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of 65 + 0*i - 7\/3*i**3 - 13\/2*i**2 - 3\/2*i**4. What is the second derivative of q(w) wrt w?\nAnswer: -36*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7790258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 3:10 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -664, 5, -6\/7, 3\/4, 14, -5 in descending order.\nAnswer: 14, 5, 3\/4, -6\/7, -5, -664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 734498 and 22806.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -85741*g + 37*g**3 + 94*g**3 + 42909*g - 5*g**3 - 1 + 42906*g in the form y*g**3 + a + u*g + o*g**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 483, 1939, 4365, 7761, 12127, 17463, 23769?\nAnswer: 31045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 5*r**2 + 22*r - 134. Calculate i(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18031621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 PM and 2:01 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8035*c*t**4 - 2*c*t**2 + 10*c*t - 658575*c wrt t.\nAnswer: 32140*c*t**3 - 4*c*t + 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54)\/(-9) - 7\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p**2 + 0*p**2 - 1517*p + 3707*p - 2190*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -541*k - 35. What is the tens digit of z(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 148 + -1330\/9. Let u = 0.91 + -0.51. What is the closest to 2\/3 in u, -0.1, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -g**2\/4 + 333513*g - 111230921169 = 0.\nAnswer: 667026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 36 = 4*q. Let t(m) = -m**2 + 8*m**2 - 3*m**2 - 5*m**2 - q*m + 7. Give t(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 19*i - 1467. Let a be t(78). Solve o - 3*s = -5, 5*o + s + a - 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 1 = 4, -17 = 2*k + 5*p. Suppose 13*w - 16*w = -79 + 55. Suppose -w*o + 4 = -k*o. Calculate the remainder when 5 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1654 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1580 and 1060420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147 is divided by 144.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1010\/(-1120)*-8 - 21\/3?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72 and 955503.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -970 + 284 = 98*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005600819 rounded to four dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/2, 6, 21, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of t**5\/20 - t**4\/24 + t**3\/6 + 14*t**2 + 2*t. Let u be w(1). Solve 0 = -n + 3*k + 18 - 3, u*n = 3*k + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262 a factor of 3533193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-nine halves of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 125.35364837 rounded to one dp?\nAnswer: 125.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1726033*t = -1725890*t + 2431 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 = -4*m + p, 0 = 5*m - 2*m + 5*p - 76. Let w = m - 24. Solve 0 = j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7\/28)\/((-3)\/108). Which is the nearest to p?  (a) 1\/2  (b) -0.2  (c) 0.1  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 367637220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1344\/(-72) + 25 + (2 - 3)*(-36)\/9?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -154 - 117. Let y = -97 - r. What are the prime factors of y\/5 + (-4)\/(-20)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 751717137.\nAnswer: 3, 809, 309731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 245, 497, 747, 995, 1241?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**5\/15 - w**3\/6 + 2*w**2. Suppose -16 + 7 = 9*b. Calculate the remainder when s(b) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 3*f. Let z(g) = 1. Let o(j) = w(j) - 6*z(j). Let d be o(5). Suppose 3418 = 2*n + 2*s, 2*n - 3412 = -s - d*s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7 - (-4176)\/135) + (-2)\/6. Is 38 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 14122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yccdnsj. Give prob of picking 1 d, 1 s, 1 j, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p + 5. Let r(o) = 25*o - 60. Let h(g) = -35*i(g) - 3*r(g). Let b(n) = 4*n - 4. Calculate 4*b(l) + 3*h(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -55332 divided by -3074\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17172 and 34344?\nAnswer: 34344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.56 - -4.56. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-2 + sqrt(108))**2 + -1 + -2*sqrt(108).\nAnswer: -36*sqrt(3) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6117*d**3*m**4 + 20*d**3 + 34*d**2 - 888*d*m**4 + 2*d - 110 wrt m.\nAnswer: -24468*d**3*m**3 - 3552*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**4 - 5*w**4 + w**4 + (-5*w + 3*w + w)*(18*w**3 + 120*w**2 - 120*w**2) + 0*w**4 - 2*w**4 - 4*w**4.\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = 26 - 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 3*c - 154, 112 = 2*c - 2*a - 3*a. Suppose 3*g = -0*g - 9, -2*f = 4*g + 12. Let h be (5 + -6)\/(-1) - (f - -4). Sort c, -4, h in increasing order.\nAnswer: -4, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.98012 rounded to 2 dps?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**3*f**3 + 9*c**3*f**2 + 77*c**3*f - c**2*f**2 + 8140*c*f**6 + c*f wrt f.\nAnswer: -12*c**3 + 976800*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 6*u**2 - 1. Let q be 60\/(-52) - (-2)\/13. Calculate the remainder when 7 is divided by i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14.52 - -1.38. Let y = 15.8668 - z. Round y to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-75)*125\/(-10)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y + 3. Let x be p(5). Let a = 7 + x. Let u be 1\/(2\/3 + -1). Put u, 3, a in increasing order.\nAnswer: a, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-196)\/(-35) + 2\/5. Suppose -8*c = -y*c - 4. Let d(n) = -c - 4 + 4*n - 10*n**3 + 11*n**3 - 5*n**2 + 0*n**2. Give d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2, 87, -31, -0.5 in descending order.\nAnswer: 87, 2, 0.5, -0.5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + (-282735)\/(-14175) + 2\/(-35)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxr when three letters picked without replacement from {r: 2, x: 2, n: 1, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 5:13 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 1026924?\nAnswer: -1026927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6547 + -12762?\nAnswer: -4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -2*t - t. What is the remainder when 57 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -5*s - 5. Let k(f) = -9*f - 9. Suppose 114*u + 147 = 135*u. What is u*r(g) - 4*k(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 61.79126nm?\nAnswer: 0.00000000006179126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7d760 (base 14) in base 6?\nAnswer: -10320504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2\/8 + 175524*x - 4914819\/2.\nAnswer: 3*(x - 14)*(x + 468078)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 735294?\nAnswer: 2, 3, 7, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-29 - (-7 - 0)) + (-34 - -21)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (2 + -1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 14524.\nAnswer: 58096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2 + 0*y + y**2 + 0*y - 3*y. Suppose -4*c - 1 = -3*q - 17, 5*c - 47 = -3*q. What is the remainder when w(6) is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - 88 - (1 - ((-7 - 17) + 7))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1682*i**3\/17 + 1392*i**2\/17 + 198*i + 68.\nAnswer: -2*(i - 2)*(29*i + 17)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1858.685 minutes in nanoseconds?\nAnswer: 111521100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 5 + (-1110)\/(-105).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 3*t + t)*(6*t - 2*t + 11*t)*(-2*t**3 + 3*t**3 + 6*t - 5*t).\nAnswer: 15*t**5 + 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -2*y - 4, 9*y - 4*y + 3*u + 42 = 0. Let c(b) = -b**3 - 5*b**2 + 3*b - 5. Does 7 divide c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3638.6 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -139*u**3\/6 + u + 10. Let x(q) = q**2. Determine x(n(c)).\nAnswer: 19321*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 17*u**3 - u**2 + 12*u - 20. Let t be k(9). Suppose -4*g + 2*y + 9914 = 0, t = 9*g - 4*g + 5*y. Is g 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 27590, 27589, 27590, 27593, 27598, 27605, 27614?\nAnswer: 27625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -15, -63, -143, -255, -399?\n\"Answer: -16*u**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**2\/7 + 33*c\/7 - 32\/7 = 0. Calculate c.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4*z + 25. Let q be x(6). What is the smallest value in -4, -3, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 13*o. Suppose -y + 1 = -2*g, 3*g - 6 - 3 = -2*y. Let s(t) = 4*t - 3. Let b(p) = -20*p - 7 + 5*p + 24*p. Let r(m) = y*b(m) - 7*s(m). What is u(r(w))?\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54 - -64. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-3))\/(8\/(-168)). Let x be 0 + (-10)\/35 - (-52)\/(-14). Sort y, -2, x in decreasing order.\nAnswer: y, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -6 - 6. Let f(y) = -y + 34. Let s be f(34). Put s, k, -5 in descending order.\nAnswer: k, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 12*o**2 - o - 2. Let q be v(-2). Let n = q + -33. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 106 - 49. Let k = g - 55. Calculate the smallest common multiple of k and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - -5)\/(-1 - -2). Let q be (42\/10)\/(6\/450). Suppose 18*v - q - 279 = 0. Calculate the highest common factor of u and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2290307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -352*g + 15149. Give j(42).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate v**2 + 1126257*v - 9412930 with respect to v.\nAnswer: 2*v + 1126257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15733 - 15525. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1235598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2140 - 40 = 210*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77652332.\nAnswer: 2, 19413083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -60.7 + 60.8. Let y = -18 + 19.8. Let z = y + -1.4. Which is the nearest to i?  (a) 5  (b) -2\/5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*b**2 - b**2 - 2*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + 8*a**2 - 6*a - 5. Let n be j(7). Suppose 72 = -2*d - 228. Let h = 753\/5 + d. What is the nearest to n in h, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 19, 31, 45, 61, 79?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 0.07743, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 7\/9, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*f - 2*f - 69, 4*c = -4*f + 68. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = 2*g + 14, -2*g = i + 2*g - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 127\/77 - 15\/11. Which is the second smallest value?  (a) p  (b) -0.09  (c) 0  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1700)*-1)**2*-3 + 3*1*sqrt(1700) + 3*(4 + (-6*(sqrt(1700) - sqrt(1700)*1) - sqrt(1700) - sqrt(1700))**2 + sqrt(1700)).\nAnswer: 60*sqrt(17) + 15312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*y + 913800 = 51*y. Is y smaller than 18273\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 0 + -9 + 43 + -43.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c**3 - 91475*c**2 + 11264760*c + 22895460 = 0 for c.\nAnswer: -2, 126, 18171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.2 + -0.2. Let m(h) = h + 2. Let r be m(0). Let j be (3\/9)\/(r + 30\/(-18)). What is the nearest to j in y, -0.4, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4159 * 121484.\nAnswer: 505251956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x**2 - 6*x. Let v(p) be the second derivative of p**4\/6 + 5*p**3\/6 - 7*p + 3. Give -5*s(i) - 6*v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2*1\/4)\/((-13)\/78). Suppose c*q = -3*y - 3 + 15, 2*y - 20 = -5*q. Solve q*d + 9 = 3*p - 6*p, 0 = 2*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 5*u**4\/4 + 5*u**3\/3 - 3*u**2\/2 + 5. Suppose -y + 541 = 530. Let z(j) = -14*j**3 - 14*j**2 + 8*j. Determine y*t(b) + 4*z(b).\nAnswer: -b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(2*sqrt(77) + sqrt(77)) + sqrt(77))*-4)\/(1*(1*sqrt(1100) + sqrt(1100)) + sqrt(1100)) + -1.\nAnswer: -1 + 28*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -3 + 12*k**2 + 30*k**2 - 8 - 40*k**2 - 5*k. Let i be m(-3). Calculate the highest common divisor of i and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43.6 - 171.4. Let o = 963195 + -962980.0091. Let b = h + o. What is b rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.2, 4\/9, 2464 in descending order.\nAnswer: 2464, 4\/9, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 390.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -n + 14, 2*n - 4 = -3*g + 3. Let u be 42 + -1*n*2. Suppose 0 = 4*w - 3*f - 36, -2*w + u = 2*w - f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1444420, 1444418, 1444416?\n\"Answer: -2*h + 1444422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8451360 and 7200?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 + 5)\/(9\/(-18)). Let i(x) = -3198*x + 2*x**p - x**2 + 3196*x + 5 - 14. Determine i(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**3 + 22*b**2 - 11*b - 9. Calculate the lowest common multiple of 32 and n(-11).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, 0.15, -2831, 0.7 in decreasing order.\nAnswer: 0.7, 2\/11, 0.15, -2831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.048 + -0.048. What is the nearest to k in -1, 2, -5, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -2, -62 in descending order.\nAnswer: 0, -2, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d*d**8)\/d*d*d**(4\/11))**(15\/2)*(d\/d**(1\/2))**(8\/19)\/((d*d**3*d)\/d**(-1)) assuming d is positive.\nAnswer: d**(15035\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u + 76 = -11*u. Suppose b = -s + u, -2*b - 183 = s - 6*s. What is the second derivative of -36*f + 60*f + s*f**5 - 33*f wrt f?\nAnswer: 740*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.245 - -1.245. Which is the closest to g?  (a) 1  (b) -3  (c) -17  (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-80)\/96)\/(3*60\/(-135))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gee. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(2700)*2)**2 - sqrt(27)) + (sqrt(297)*2)\/sqrt(11)).\nAnswer: -64800 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 3*n**2\/2 + 11. Let c(t) = -2*t. Determine c(w(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/7)*p**(-6)*p)**50 assuming p is positive.\nAnswer: p**(-1850\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -30609 at least as big as -30671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2498189*t**3 - 138*t - 23768 wrt t?\nAnswer: 14989134*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5*18 - 1)\/(-1). Let n = -175\/2 - v. Let u = 2.07 + -0.07. What is the second biggest value in 0.04, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*g - 33*g + 2442 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12777, -101896, -343797, -814872, -1591513, -2750112, -4367061, -6518752?\n\"Answer: -12732*f**3 + f**2 + 2*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 9*p - 46 = 0. Let k = -19 - p. Suppose -8 + 28 = k*h. Solve h*w - 8 = -4*n, -3*w + 3*n - 7 = -28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (84\/8 - 10)*6*2\/(-4). Let y = -3.054 + 0.054. Put -4\/5, y, x, -1 in decreasing order.\nAnswer: -4\/5, -1, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1946 + 1945. Let n be 1\/4 - 190\/56. Let u = 20\/7 + n. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o - 6*o = -3*n + 48932, 0 = 2*o + 10. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 530486 and -15.\nAnswer: -7957290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - (-12 + (-10)\/5 + 6). Solve c = -15*b + 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 + 3*n**2 - 6*n - 4. Let o be p(-4). Suppose -42 = 2*w - o*w. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, 3\/4, -1\/5 in decreasing order.\nAnswer: 31, 3\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 138*g - 1787. What is v(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*m - 2*u + 20 = -142*m, -84 = -13*m + 8*m - 2*u for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m + 25. Let b be h(11). Suppose 374 = 4*r - 5*j - 201, 3*r - 432 = b*j. List the prime factors of r.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 3*s - 220. Let i = -39 + s. Solve -i*n + b - 17 = 4*b, 3*n = -2*b - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 192*h - 218*h + 3*h**2 - 23 + 3*h**2. Is r(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t - 11 = -3*m - 14*t, 2*m = -2*t + 6. Suppose -s + m*l + 51 = 0, -3*l + 112 = 5*s - s. What is the remainder when s is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + 237\/3*-1. Let q = 44 + p. Let u = 35 + q. Solve 3*y = -3*f + 1 + 8, y = -u*f + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*t + 8 = 47*t. Let s be (t + -238)*27\/(-36). Suppose 0 = -f + 5*f - s. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 157872 and 523952?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*y + 9, 2*d = 4*y + 12 - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + ((sqrt(416) - sqrt(416)*-1)\/sqrt(8) + (1*sqrt(156))\/sqrt(3))**2).\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -8\/9, 0.326, 6\/11 in descending order.\nAnswer: 6\/11, 0.326, -0.4, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 696 - 9888*x**3 + 7564 + 1595*x**3 wrt x.\nAnswer: -24879*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 204101\/153 at most as big as 1333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(110) - sqrt(110)*-2) - sqrt(110)*1*6)\/(sqrt(90) + -3*(sqrt(90) - 2*sqrt(90))) + 5.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 - 16. Let v(w) = -4*w**2 + w**3 + w**2 - 5*w - 3*w**2 - 10. Let r be v(7). Solve 2*c - x = r*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 10*r**2 - 9*r + 5. Let c be x(-9). Suppose -a = -4*h + 2*h - 3, 3*h = c*a - 1. List the prime factors of a\/((-3)\/4)*9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38 + 56)\/((-696)\/870).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6824 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: Which is the third biggest value?  (a) 1  (b) -7  (c) -1\/5  (d) 4\/9  (e) 89  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 - 16*p**2 - 15*p + 31. Let d be (17 - 2)\/5*13. Let w = -54 + d. Is q(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54965566 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) -2  (c) -5  (d) -4\/4987513\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 3, 2 = t + 3*u - u. Suppose 2*k + t - 10 = 0. Suppose k*x + 2*w = 78, -4*x + w + 135 - 20 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3 - 2)*-1)\/(9\/54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {q: 2, o: 1, k: 2, b: 1, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - r + 2. Let z be o(0). Solve -q = -1 + z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 9 + (-22 - -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-88)\/14 + 4\/14. Let m be 2\/((0 + 3)\/t). Let g = 4 + m. Solve 2*y - 3*r + 8*r = g, y = -4*r + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4851\/(-9261)*(-18)\/(-363)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - ((42 - 20) + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 56 + 16*t**2 + 51 - 107. Let k(l) = 2*l. Determine k(o(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -53255288*c**5 + 6*c - 356587?\nAnswer: -1065105760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 796\/(-1990) + 26\/15 + -1. Which is the closest to r?  (a) -2\/3  (b) -13\/6  (c) 4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 4*l - 1. Let p be ((-6)\/10)\/((-4)\/20). Let t(k) = k - 1. Let q(o) = 3*o - 40. Let b be q(13). Give b*r(s) + p*t(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, m: 4, f: 3}. What is prob of picking 2 f and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/862 in -0.2, 14, -3, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -19*d**2 + 0 - 6*d + 51\/4*d**4 + 21\/2*d**3 + 7\/4*d**5 = 0?\nAnswer: -6, -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -198299, -198300, -198301, -198302?\n\"Answer: -f - 198298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 26 + 98. Calculate the remainder when 5*18\/(-15)*-7 - -4 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 - 16*u + 5. What is d(-18)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-20) - 65\/(-25). Suppose m*l + 3*l = 618. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjzz when four letters picked without replacement from izjxzgzmjmmm?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 2*u + 2*w, -3*w + 0*w = -6. Let d = -9 + u. Is 14775\/60 + 3\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 1 = j + 2*p, -2*p = -5*j + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 391*i**3 - 17*i**2 + 1098. Let r(g) = -130*g**3 + 6*g**2 - 366. Let t(c) = 3*l(c) + 8*r(c). Find the third derivative of t(n) wrt n.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and 912661419.\nAnswer: 912661419.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 11*g**2 + 10*g - 5. Let a be m(-10). What are the prime factors of -47*(1 + a + 3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -736 + 736 - 31131*v.\nAnswer: -31131*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.2, -13410.52.\nAnswer: -13410.52, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m - 4. Let z be q(-7). Suppose 6*n = z*n + 21. Factor -7*x**2 + 2 - 4*x**4 + 0*x + x**2 - x + 2*x**4 + n*x**3.\nAnswer: -(x - 2)*(x - 1)**2*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36588235371 + 5\nAnswer: -36588235366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, e: 1, h: 1}. Give prob of picking 1 k and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 936221*x - 181*x**4 - 936222*x + 42*x**4 + (-3*x**3 + 2*x**4 + 3*x**3)*(1 + 3 + 5) as t*x**4 + z*x + g*x**2 + q*x**3 + f and give t.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(3\/8)*x\/(x**7\/x*x)*x*x\/x**(2\/3)*x*x**(-2))**(-28))**(2\/13) assuming x is positive.\nAnswer: x**(889\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 67 = 3*z, -2*y + 16 = 2*z - 0*z. Is 13 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -210 - -209. Let q = 38.067 - 0.067. Let w = 40 - q. Which is the smallest value?  (a) w  (b) 0.4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 233.46 to zero decimal places.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 3*u - 15 = 3*v, -5*u - 25 = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3*d = 108982, 16*d - 436026 = -4*c + 14*d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 71620.431 - 71701. What is w rounded to zero decimal places?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (0 + -6 + 2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -5 - (-1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 AM and 3:39 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 52*b + 4 - 69*b + 11. What is the hundreds digit of k(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a - 224 = -12*a. Calculate the remainder when a is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 954464?\nAnswer: 2, 7, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 6113156 divided by 3056578\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -64*x - 34 + 34. Let v = 3\/170 - -1\/10. What is the third smallest value in -1, x, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p**5 + 0*p**5 + 5*p**5 + (0 + 2*p**2 + 0)*(-173*p**3 + 160*p**3 - 228*p**3) - 8 - 3*p**5 + 8 + (2*p - 3*p + 3*p)*(2*p**4 - p + p).\nAnswer: -479*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9250190*o**3 - 2*o - 22475079.\nAnswer: -27750570*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -31685486212 - 2.\nAnswer: -31685486214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25868268 and 432?\nAnswer: 103473072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32788 + 88732. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 + -33. Let h(q) = 2*q - 12 - y*q + 9 + 2*q. What is the remainder when 24 is divided by h(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39.9 + 43.9. Which is the biggest value?  (a) 96  (b) y  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 4*a**2 - 6*a + 7. Let w be q(-6). Let s = 31 + w. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + g = -10. Let f(x) = -x**2 - 4*x + 11. Let r be f(-6). Let u be r + g + (89 - 21). Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in 1, -6, 0.4, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -667*q + 3*v + 12 = -667*q, 0 = -q - v + 2 + 1 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iapx when four letters picked without replacement from {m: 1, p: 1, a: 2, z: 1, i: 1, x: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5626457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2031 + 115?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 + 222*t + 9942. What is f(-158)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(-1\/3)\/w)*w*w\/w**(-3\/4)*w)\/((w\/(w\/(w\/w**(-5\/2))))\/(w**(-12\/7)\/w)))**43 assuming w is positive.\nAnswer: w**(-473\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 10 + 22. Let j be 6\/b*8\/6. Suppose 0 = -5*a + 3*g - 6, 0 = -0*a + 3*a + j*g - 4. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 175155\/89 - 1968. Is -1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9 + 6)\/((-2)\/10). Let k be (48972\/o - -2) + 4\/(-5). Find the third derivative of 17*w**2 - 3266 + k - 44*w**5 wrt w.\nAnswer: -2640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -716*r + 333*r - 21065 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43 + 170 + 141)*(37 + 8*d - 37).\nAnswer: 2144*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 35431596 a multiple of 2907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -4*v - 0*v. What is the lowest common multiple of 1 + v\/(-6)*-3 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.978 - -56.978. Is b > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85*239091.\nAnswer: -20322735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 12 + 2)*(-7*h + 3*h + h) to the form z + c*h and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -50565126 (base 7) in base 12?\nAnswer: -14b4b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 9:37 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3650 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: Let s(y) = 42*y**3 - 4*y**2 + 3*y - 2. Let q be s(2). Suppose 34*t - 32*t - q = 0. Calculate the highest common divisor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of o**4\/4 - o**3\/3 - o**2\/2 - o + 155. Let t = -2 - -2. Let x be 1 - t - (2 + -3). Determine a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + (-6*1)\/3. Suppose -5*m = -p*m + 33. Let d be (2 + -3 + -3)*m. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31044434 (base 6) in base 13?\nAnswer: -253417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 403 - -6711?\nAnswer: 7314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z - 8. Let p be y(-10). Suppose -u = -6*i + 3*i + 13, -p*u - 3*i = -19. Find l such that l**4 + l - 5*l**2 + 3*l**3 + u*l**2 + 3*l**2 + 3*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 78436000 to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20.92 + 25. Let a = o + 0. Let l = a + -0.08. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10972 = -14*t + 51594. Is 109 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 7*c**3 - c**2 - 22*c - 25. Let u(n) = -8*n**3 + 2*n**2 + 28*n + 23. Determine 4*q(b) + 3*u(b).\nAnswer: 4*b**3 + 2*b**2 - 4*b - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 441742682 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/12512 and 1\/10147232.\nAnswer: 10147232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5, 27, 45, 53, 45?\n\"Answer: -c**3 + 4*c**2 + 17*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1525190585\/980421 - -1507\/452502. Let o = f + 3111\/2. Let w = 1\/117 - o. Which is the biggest value?  (a) 1\/7  (b) w  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 417391.8 hours to weeks.\nAnswer: 2484.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {t: 5, p: 2, r: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*y**3 + 6*y**3 + 8*y**3 + 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 n when four letters picked without replacement from ljnljjljnnjnljlll.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-88)\/12*(-109)\/436.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2016068 - -1\nAnswer: -2016067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**3\/4 - 167314*l**2 - 2007759*l\/4 = 0 for l.\nAnswer: -669253, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 - 10.73\nAnswer: -10.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -59 - -62 - (0 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-2\/9))\/(m**(-12)\/m))\/(((m\/(m\/m**14))\/m)\/((m**10\/m)\/m*m)) assuming m is positive.\nAnswer: m**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, k: 1}. What is prob of sequence xx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 at least 48994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*h - 6*h + 200. Let u = h + 45. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than 84619505?\nAnswer: 84619507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((13440\/(-144))\/35)\/((-2)\/99*(-3)\/(-1))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -28845 less than 21.09044?\nAnswer: 28866.09044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*-5*-3)\/(sqrt(63)\/sqrt(9)*6).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -2 + (16 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -463*i - 465*i + 925*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103 divided by -103.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-131)\/57 + -1 + 2. Let x = w - -12\/19. Let s = 31 - 27. Put 0.3, x, s, -3 in descending order.\nAnswer: s, 0.3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 79658 by -2.\nAnswer: -39829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 8*x**2 + 565*x + 2. Let a(z) = -2*z**2. Determine l(a(k)).\nAnswer: 32*k**4 - 1130*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 427 is divided by 422.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + 1 + sqrt(13) + sqrt(13).\nAnswer: 2*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*s = 36*s + 380. Suppose -8*n = 11*n - s. Solve 0 = n*k + 2*l - l - 2, -3*l = -2*k + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 16*n**3 + 16*n**2 - 161*n - 136. Let k(g) = 3*g**3 + 3*g**2 - 32*g - 27. Let m(w) = -11*k(w) + 2*y(w). What is the units digit of m(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 735.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1, 0.337, -2 in decreasing order.\nAnswer: 0.337, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1999532634 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (2 - (1 + -3)) + (3 - (-17 + -18))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/168 and 16\/147.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 29908673.43 to the nearest one hundred.\nAnswer: 29908700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4590 and 36210.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5 - -7)\/(0 + 2). Let g(x) be the first derivative of -2*x**2 - 1. Let m(y) = -29*y**2 + y + 15*y**2 - 1 + 15*y**2. Give b*g(p) + 2*m(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + 2*2\/4. Let h = -3.7 + 4.2. Which is the nearest to -1\/3?  (a) -4\/5  (b) k  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 79.199 + -0.199. Let j = -79.7 + q. What is j rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 5*i**2 - 14*i - 15. Let s(y) = 6*y**2 - 15*y - 14. Let t(n) = -6*s(n) + 7*v(n). Let d be t(-4). Put -1, 2, d, -21 in increasing order.\nAnswer: -21, d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1200 + -420412033?\nAnswer: -420413233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 214177931*t**4 - 338770845 wrt t?\nAnswer: 856711724*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6872 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 414666250054302 and -2.\nAnswer: 414666250054300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/651479?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-7) - (-5 - 2850\/(-42)). Is -65 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 182 - (204 - (223 + -101)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 68 - 62. Suppose -12*l = -g*l - 684. Let c = l + -57. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8*(-6)\/108 - (-10)\/(-45)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -346, -25\/4, 0.2, 1, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 + 4)*(4*z + 0*z - 3*z)*(-2 + 4 + 0).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from {i: 6, c: 5, b: 5, u: 3, k: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = z + 18, 3*z + d + 0*d + 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 128 and 13184?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.51, -3021, -157?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b + 9. Let h be a(-7). Let w(p) = p**2 + 5 - 2*p**2 + 6*p - h*p**2 + 4*p**2. Give w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*j**2 + j**2 + 2579 - 2*j - 25*j + j - 2578 + j**4 in the form u*j**4 + o + q*j**3 + k*j + a*j**2 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 - 23. Suppose -3*u = t - 7*u + 17, 2*t + u - 11 = 0. Suppose -z + 153 = 2*y, 2*y + t*z = 185 - 38. What is the lowest common multiple of w and y?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1057 divided by -384\nAnswer: 1057\/384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*x + 10*x. Let d(l) = 9 - l + 5*l**3 - 9 + l**2. Let f be d(x). Solve -5*o = 10, -2*g - 25 = -f*g + 5*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 - 53. Let w = y - -37.8. Let i be (2\/4)\/(2\/(-8)). What is the second smallest value in w, i, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/(-6)*(-10)\/9. Suppose 0 = -16*g - 20 - 28. Put g, a, 4 in descending order.\nAnswer: 4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000093027 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36266 - 6?\nAnswer: 36260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3910, -1044, 1822, 4688?\nAnswer: 7554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -230 - -231. Let k = 110.7 + -111. Which is the second biggest value?  (a) q  (b) k  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 6580582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 504125.1*-4.\nAnswer: -2016500.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 23*p - 36. Let m be q(21). What is the units digit of (51\/m)\/(-17) + 789\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 411?  (a) 30\/11  (b) 1  (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04934 + -36714651867?\nAnswer: -36714651867.04934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10004 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w + 0*w + 5*w - w - w + 5 + 17*w + 7*w - 3*w - 2*w + (-4*w + 4*w + 2*w)*(0 - 2 + 4) to j + h*w and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*h + 112. Suppose 5*i = -0*i + h. What is the second derivative of 9*p**i + 3*p + 3*p**4 - 2*p**4 + 13*p wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 3*u + 24. Put -2.9, u, -2\/17 in descending order.\nAnswer: -2\/17, -2.9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 652179227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 28833*b**2 + 2*b - 10356 wrt b?\nAnswer: 57666*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5.29, 0, 4, 3, 1, 5 in ascending order.\nAnswer: -5.29, -2, 0, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-42)\/(-8) + (-2)\/8. Let c(d) = d**2 - 5*d. Let b(m) be the third derivative of -m**4\/4 - 13593*m**2. Determine a*b(r) - 6*c(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*n + 62. Suppose -3*v = -4*r - 8, -5*v - 3*r - n + 0 = 0. Which is the closest to 2?  (a) 5  (b) 0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13789\/11 + 1256. Let q = 43 - 15. What is the common denominator of q and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -232  (b) 0.42  (c) -1\/11  (d) -2  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 47*n**2 + 24*n + 51. Let j be c(-2). Let d(y) = 3 - 3*y - 190*y**2 + j*y**2 - 6. Calculate d(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, w: 1, f: 1, y: 5, j: 3}. Give prob of picking 1 x, 1 y, 1 f, and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f - 32*f = -30. Solve f*c = 4*q + 12, -q = -5*c - 3 + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2079285 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*k**2 + 2*k - 2*k.\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -1589\/49943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -74, 2, 5, -3, -86, 4 in descending order.\nAnswer: 5, 4, 2, -3, -74, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 6:27 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(77)\/((-1*sqrt(110))\/sqrt(10)) + -5) - (-3 + 0 + sqrt(567) + 0 + -3))**2.\nAnswer: -176*sqrt(7) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -3*q - 3*i + 4, -5*q + 4*i + 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 64550*h*u - 45483*h + 63 wrt u.\nAnswer: 64550*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15312 is divided by 100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5014 and 5668.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/12, 22, -1\/10, -2\/3, -6\/11 in decreasing order.\nAnswer: 22, 1\/12, -1\/10, -6\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**2\/2 + 411*b\/2 - 13734 = 0.\nAnswer: 84, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -55.14 and 3.\nAnswer: -165.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + i + 1. Let a(p) = 3*p**3 - 9*p + 1. Suppose 5*s = 4*r - 17, -s + 5 - 9 = -r. Calculate s*a(h) + g(h).\nAnswer: -2*h**3 + 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 50 and 1125676.\nAnswer: 28141900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10716 * -3.67\nAnswer: -39327.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -168*m + 707*m - 206*m - 186*m + 55 - 207*m. Let a(l) = l - 1. Give -110*a(y) - 2*s(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23548, 47451, 71356, 95263, 119172?\nAnswer: 143083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15952 - 16016. Which is the closest to 1?  (a) g  (b) -3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmmmmqqmmqm. What is prob of sequence mqq?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*q - 3*d - 2111 = 0, -3*q - 4*d = -1577. Let h = q + -10501\/20. Find the common denominator of (-6)\/24*(-58 - 1) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27661319\/1230 - 562869\/82. Let h = n + 1105958159\/37680. Let x = h + 18\/157. What is the common denominator of 1\/78 and x?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -1064018?\nAnswer: -1064020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 17, 22, -5 in decreasing order.\nAnswer: 22, 17, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*b - 33, 0*v = 3*b - 4*v - 46. Suppose 1 + b = 3*h. Suppose 4*n = -2*j + 4*j - 278, -j + 174 = h*n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 26*w**3 + 18*w**2 + 14*w - 10. Let y(l) = -105*l**3 - 73*l**2 - 59*l + 41. Calculate -17*p(s) - 4*y(s).\nAnswer: -22*s**3 - 14*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 3. Suppose y*j = -2*j + 24. Suppose -j = s - 3*s. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 16) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (4 + sqrt(108)*-1)*2 + -5 + 3)**2 + -1.\nAnswer: -216*sqrt(3) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6.186  (b) 4  (c) -804\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 9*l**2 + 15*l - 25. Let j be y(10). Solve 8*b = 65 - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3306 divided by -6?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(12\/8*4\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -51*m**2 - 179*m + 2. Let t be p(-16). What is t rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.072 and 37594.\nAnswer: 37594.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147599449 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5789 is divided by 1155?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 12*j - 9. Calculate the smallest common multiple of n(-11) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j - 1. Let q(x) = 7*x**2 + 7*x - 14. Let f(p) = -q(p) + 7*t(p). Differentiate f(m) wrt m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 4:55 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 204266443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 46\/5 < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 4*v = 25, -p - 4*v + 1 = -5*v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 + 6*c**2 - 7*c + 7. Let v be f(-7). Let x = v + -4. Solve -6*u = -x*m - 2*u - 35, m - 3*u = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)*w\/(w**(1\/5)\/w)*w*w\/(w*w**(-9))*w**9)**(2\/11) assuming w is positive.\nAnswer: w**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 5:30 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2618 * 9.\nAnswer: -23562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3206 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -348 - -580. Let p = -72 + o. Are p and 159 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -3*r - 3*v, 5 = -2*v + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/4)\/(s**(15\/8)\/s)*(((s*s**(-2\/5))\/s)\/s)**(1\/54) assuming s is positive.\nAnswer: s**(-1243\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36 + -178\/5. Let r = 0.77 - -3.23. Which is the closest to j?  (a) 0.5  (b) 5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1169.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1249122, -2498246, -3747370, -4996494, -6245618?\n\"Answer: -1249124*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 27*l**2 - 16*l - 17. Is d(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 PM and 7:24 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -162, -1060, -2556, -4644, -7318, -10572, -14400, -18796?\n\"Answer: j**3 - 305*j**2 + 10*j + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 92*m**2 + 266*m - 7738. What is f(90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**2 + 33*u - 4. Let r be s(-5). Let t = r + 951\/8. Let z = -0.2 + -0.1. Which is the closest to 0.2?  (a) 4  (b) t  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + -1 - (-1 + 7\/(-1)). Let u(l) be the second derivative of 5\/24*l**4 + 0*l**2 + 0 - 1\/16*l**5 - t*l - 5\/24*l**3. Let u(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = -5*j, 0 = 2*j + j + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 - 1. Let y(v) = -3*v**2 - 5*v + 7. Let c(f) = -5*l(f) - y(f). Let i be c(3). Sort i, 0, -4.\nAnswer: i, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*g**2 + 5980*g - 39060 = 0. What is g?\nAnswer: 62\/9, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 9.6505\nAnswer: 0.96505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 395090814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -42 + 54. Suppose a*p - 50 = -2*p - 5*h, -5*h = -20. Solve -4 = 2*i + p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4756507309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**4 + 12*l**3 - 945*l**2 + 5346*l = 0. What is l?\nAnswer: -22, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 6*f - 2. What is x(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8 - -9)\/(2\/(-4)). Let g(t) = -6*t - 10. Let v be g(s). Which is the nearest to 1?  (a) 3\/7  (b) v  (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p = -17*p + 5796. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 2. Let r = -4 + 4. Suppose r = -4*t + 5*t. Solve t = -x*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 - 1. Let i be s(-1). Let o(j) = -j**2 - j. Let t be o(i). Solve t*y = -4*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 524 is divided by 476?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-1155)\/(-28))\/(-11))\/((-9)\/24). Suppose 80 = -2*w + 3*w. Calculate the highest common factor of l and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 46*z**4\/5 + 1033*z**3 + 162377*z**2\/5 + 302243*z - 1169619\/5 = 0. Calculate z.\nAnswer: -67, -23, 33\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 77\/3 in 1\/9, -0.3, 27, 2\/11?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 77476, 154605, 231734, 308863, 385992?\nAnswer: 463121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -6*z - 9 + 4*z**2 - 15*z**2 + 12*z**2. Is o(9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -337771, -677782, -1017781, -1357762, -1697719, -2037646?\nAnswer: -2377537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1172 (base 8) to base 3.\nAnswer: 212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.3 + -0.3. Let h = 6765.8 - 6766. Sort 1\/2, g, 0.2, h.\nAnswer: h, 0.2, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbibbbbbi.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cvtsvcctsscssscvsss. What is prob of sequence sct?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.7*-308\nAnswer: 215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -456 + 916. Suppose -5*w + 1596 = g, -2058 = -g - 4*w - c. What is the units digit of g*3\/42 - (-2)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 202530.\nAnswer: 2, 3, 5, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6217 + 0.0403. Let z = k + -0.262. What is the second biggest value in z, 5, -0.9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a - a + 2*a)*(3*a + a - 3*a) + (-2 + 0 + 3)*(0*a**2 - 4*a**2 - a**2) to the form f*a + t*a**2 + s and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**2*r**3*s - 5*c**2*r**2*s**2 - 2*c**2*r*s + 52*c*s - 13*r**3*s**2 - r*s**2 wrt r.\nAnswer: -12*c**2*s - 78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5*j**2 + 9*j - 2. Let g(f) = -4*f**2 - 8*f + 2. Let n(z) = -31*z + 221. Let l be n(7). Calculate l*g(y) + 3*v(y).\nAnswer: -y**2 - 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/2*(-884)\/1989 + 1*25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t - 2. Let i be z(-1). Calculate the remainder when 15 is divided by ((-8)\/(-6) - i)*18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**(-1\/18)\/z)*z*z*z*z**(2\/17)*z)**(-6\/13)\/((z*z**(-1\/2))**(-18))**(-39) assuming z is positive.\nAnswer: z**(-234602\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*j**3*y**3 + 31007015*j**3 + 564542*y**4 wrt y?\nAnswer: -30*j**3*y**2 + 2258168*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -4*(sqrt(12)\/(-5*sqrt(96)) + 3 + sqrt(4)\/(-1*sqrt(2))).\nAnswer: -7 + 21*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*v + 0)*(-5*v + 2*v**2 - 6*v + 8*v + (-3*v**2 + 2*v**2 - 2*v**2)*(-1 + 4 - 2)).\nAnswer: 2*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u - 11 + 5 - 7*u. List the prime factors of f(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/178 - 1951\/1246. Let t = -599556\/11 + 77350094\/1419. Let s = -6\/43 - t. Calculate the common denominator of s and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -19, -30, -53, -94, -159, -254?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + s = -2*s - 8, 0 = 4*i - 2*s - 12. Let h be (-35)\/150 - (-2)\/i. What is the third biggest value in 0.3, -3\/7, h?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47949 is divided by 1542?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(13) + 0 + sqrt(13) + 4) - ((5*(0 + sqrt(13)))**2 + -1).\nAnswer: -304 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2661 is divided by 164?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 236747 (base 8) to base 5\nAnswer: 10101013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6, 1, 0 in decreasing order.\nAnswer: 6, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3202*u**2 + 3 + 0 - 3*u - 3204*u**2 + u**3 - 3 - 4*u**4 to x*u**3 + z*u**4 + k*u**2 + s*u + g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 8*d + 13. Let k(y) = -17*y - 27. Let z(j) = -3*k(j) - 7*t(j). Let i be z(-4). Suppose 5*a + 1585 = i*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*f**3 - 6*f + 20\/7 + 24\/7*f**2.\nAnswer: -2*(f - 10)*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 329656.8 millilitres?\nAnswer: 329.6568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (205\/(-82)*-4*(-4)\/40)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*d - 5*l - 15, 5*d + l + 8 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*q + 65 + 9*q - 67 as c + n*q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08922 + -0.01078. What is the closest to 435\/8 in y, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11295893 and 125881.\nAnswer: 2569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzccczzcccc. Give prob of picking 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eleven tenths of a minute?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/19, -3\/4, -3.6, -0.3 in decreasing order.\nAnswer: 3\/19, -0.3, -3\/4, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.265 - -0.265. Which is the third smallest value?  (a) 86  (b) 5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - -3. Let j = -3 + 1. Let t be 4*(-1)\/j - -2. Solve -q = t*q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -3*z - 0*z - 7, 2 = 2*z - 2*j. Let m(f) = -183331*f - 14. Let b be m(z). Round b to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/896 and -103\/214848.\nAnswer: 3007872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -6\/17  (c) -0.2  (d) -33  (e) 2\/11  (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 87825 - -7365. Is (-3)\/(-7) - x\/(-105) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mbu when three letters picked without replacement from {u: 8, b: 1, m: 2, k: 9}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from llclltllckkkylklyclc.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*h**5\/3 - 186*h**4 + 4744*h**3\/3 - 16160*h**2\/3 + 6272*h + 2048\/3 = 0. What is h?\nAnswer: -1\/10, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -2 - (6 + -1 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.010829539 to five dps.\nAnswer: -0.01083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/45 - (-6)\/30. Let v(s) be the first derivative of 13 - 2\/3*s**3 + p*s**2 + 7*s. What is the derivative of v(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 57*o - 1918. Determine r(14).\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 5*k = 66. What is the units digit of (-13270)\/k + (-10)\/55 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 216874231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.02 equal to 512040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - -1 - (-54)\/120. Let v = w + -11\/5. Find t, given that 0*t - t**2 + t**3 - v*t**4 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, -1, 26, -1.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a factor of 111020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -356, -726, -1076, -1394, -1668, -1886?\nAnswer: -2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -765, -1, -133 in ascending order.\nAnswer: -765, -133, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 17*b**2 + 3361*b - 1001. Determine u(-198).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4509 - -2?\nAnswer: -4507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/8 and 173\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.011*-0.264\nAnswer: -0.002904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1159 is divided by 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of 21*s**4\/2 - 65*s**3\/6 - 4*s**2 + 3. Is x(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -3*i**4\/4 - 61*i**3\/6 + 7*i**2 + 10*i + 4. Solve t(m) = 0 for m.\nAnswer: -7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(5) + sqrt(35)\/sqrt(7)) + 2 + (sqrt(5) + 0 - sqrt(5)))*6*1.\nAnswer: 12 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 814 and -12.17.\nAnswer: 801.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 28121, 56240, 84359, 112478, 140597, 168716?\n\"Answer: 28119*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 38*y**2 - 21*y + 26. Give g(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - 0. Let g = -23 - -22.896. Let j = g - -0.124. Which is the second smallest value?  (a) 2  (b) j  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 358112, 357002, 355894, 354788, 353684, 352582?\nAnswer: 351482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - (0 - -2) - -7. Suppose 3*c + 4*g = -0*c - 8, 4*c = 4*g - 20. Let n be 14\/(-7)*(-6)\/c. Sort o, n, -1 in decreasing order.\nAnswer: o, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 12\/36301?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 25340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) -0.4  (b) 2  (c) -4  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*n + 210 = 0. Suppose -678 = -2*w + n. Suppose 2*u - w = -2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 20*r**2 + 16. Suppose 10*g + 592 = 4*u + 5*g, 2*g = u - 151. Let f(k) = 143*k**2 - 290*k**2 - 3 + u*k**2. Calculate -16*f(z) - 3*x(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3771*p - 3720*p = 5049. Solve -20*x + 316 = -p*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r + 5. Suppose -4*c = -8*o + 3*o + 80, 0 = -5*o - c + 80. Calculate the remainder when o is divided by s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 120 = -36. Calculate the remainder when i is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 5:05 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 5*b**2 + 2*b - 7. Let g = -13 + 18. Let n be q(g). Factor -2 - 1 + a**2 + a + n.\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1355  (b) 2\/17  (c) 0.2  (d) -2  (e) -268\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 46236*v**5*y - v**4*y**2 - 63*v*y**2 + 56*y**2 + 4 wrt v?\nAnswer: 924720*v**3*y - 12*v**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 3*w - 4*w + 21, 5*f = -5*w + 30. Calculate the highest common factor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 41 = -2*o - 5*u, -4*u + 68 = 4*o. Calculate the least common multiple of o and 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -2 - (3 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13851 and 1507572?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171664 = 45*o - 132581. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 120.82 + -0.82. Let z = -119.9939 + q. What is z rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(((-8)\/(-4))\/1)\/2. Suppose 0 = d + h, s - 2*d = -6609996 - 1390002. What is s rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.9 - -1.1. Let d be (-492)\/123 + 108\/26. Let s be -1 + 1 + 2\/(-15). Which is the closest to -1\/4?  (a) d  (b) t  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62 + 173. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 6) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q**2 + 23*q - 28. Let s be g(10). Find the third derivative of 21*a**2 - 66*a**4 - 54*a**2 + 35*a**s wrt a.\nAnswer: -1584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*a**2*y**2*z + a**2*y*z**3 + 558*a*y**2*z**2 - 19165*a*y**2*z - 128767520*y**2*z**3 wrt z.\nAnswer: 6*a**2*y - 772605120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -4*u + 9204, -4*u + 5*u = -g + 2302. What are the prime factors of u?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 3\/310670720?\nAnswer: 3\/310670720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/7 + 30*w\/7 - 32\/7.\nAnswer: 2*(w - 1)*(w + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, g: 12, d: 3}. What is prob of sequence dg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1701 or 1700?\nAnswer: 1700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23367*d + 3689679 - 768804 = 0 for d.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -7013*-0.3\nAnswer: 2103.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 823999*b**3*f**2 + 7*b**3 + b**2*f - 5409*b*f wrt f.\nAnswer: 1647998*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00071253557 to five decimal places.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t**3 - 2*t**2 - t. Let p be s(-1). Let u be -2*p\/2*0. Let b = -140 + 557\/4. Are u and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 481, 504, 565, 682, 873, 1156, 1549?\n\"Answer: 3*w**3 + w**2 - w + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 + 3*l**2 - 2*l - 6. Let r be t(-4). Let p = r - -43. Calculate the highest common divisor of 58 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 2*a, 4*b - 74475 = 5*a - 74521 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) - sqrt(14)\/(-1*sqrt(7)) - sqrt(8)*4.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6434672 - 4?\nAnswer: -6434676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -171, 167, 507, 849, 1193?\n\"Answer: k**2 + 335*k - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.06*852927.5.\nAnswer: -904103.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 7*x**2 + 9*x + 3. Let y(i) = -2*i**3 - 13*i**2 + 17*i + 5. Let h(t) = 5*s(t) - 3*y(t). Determine h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of o**2\/2 + 7. Let p(l) = 5*l. Give s(p(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, b: 5, g: 2, d: 4}. What is prob of sequence gr?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - 4*d - 5. Suppose 0 = -3*m + 2*g + 233, 0 = 4*m + g - 5*g - 316. Suppose q - 6*q = 5*a - m, 7 = a - q. Let o be a\/3 - (-1)\/3. Calculate v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -367\/11951 + -87876484\/752913. Let i = z - -1070\/9. Do 3 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 726169092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - 7*i**2 + i - 7. Let b(c) = -2*c**3 + 13*c**2 - 3*c + 13. Let t(k) = -3*b(k) - 5*n(k). What is t(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*q**2 + 610*q - 404.\nAnswer: -2*(q - 101)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23563 (base 11) to base 4.\nAnswer: 20102131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 21*c**2 + 26*c - 218. List the prime factors of h(12).\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5604 or 4539?\nAnswer: 5604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39208 - -33480. Is -5728 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -40*u**4 + 1 - 120*u**2 + 110*u**3 + 10 + 46*u - 15*u**5 - u + 9. Let a(d) = d**5 - 1. Let h(o) = 20*a(o) + n(o). Factor h(c).\nAnswer: 5*c*(c - 3)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((0\/(-6))\/(-4))\/2*(-172)\/1204\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = 5*d - 95. Suppose 53 = 5*c + 58, -d*c = 2*a + 1. Let l(g) = 6*g**2 - 2*g + 1. What is l(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 232 by 21.\nAnswer: 232\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 6 = 2*o, -s + 331*o - 3 = 332*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4948 * -70\nAnswer: -346360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51979?\nAnswer: 59, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of q**5\/12 + 13*q**4\/24 + 11*q**3\/6 + 16*q**2. Is z(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 878 - 286. Calculate the greatest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/9?  (a) -0.0199  (b) -3  (c) -6  (d) -0.5  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 + c**2. Let w be s(2). Let t = -2 + w. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37105*t - 64637*t - 34838*t.\nAnswer: -136580*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 317.091ns?\nAnswer: 0.000000317091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3386.82708 minutes in weeks?\nAnswer: 0.33599475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2\/7 + 77502*s\/7 + 619824\/7.\nAnswer: 3*(s + 8)*(s + 25826)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 0*h + 0*h**4 + 0*h**3 - h**2 + 0 - 1\/60*h**5. Let m(t) = -7*t**2 - t**2 + t**2. Calculate n(m(f)).\nAnswer: -49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/1 - (-3 + (-42)\/(-24))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 + 117?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*l - 4*t, 539*l - 270*l - 264*l - t + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 13, 41, 87, 151, 233, 333?\n\"Answer: 9*b**2 + b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 + (-3)\/(-3 - -6) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 + 13*h + 54. Determine o(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 192373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-32)*-104 - (0 - 3) - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g + 10 + 9 - 8. Let v be o(-4). Solve 5*q = -k + 15, v + 18 = 5*k - 2*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 172120770 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 80729 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -90*c**2 + 542*c - 13. Suppose 3*v = -3*u + 36, 5*u - 187 = -157. Calculate q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-4 + 1)) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**3 + 5*f**2 + 14*f + 75. Let l be i(-5). What is the greatest common factor of 120 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 (base 10) in base 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1397 and 78867.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 1312*j**2 + 457*j - 289. Let u(a) = 875*a**2 + 298*a - 193. Let p(v) = -8*u(v) + 5*w(v). Let f(x) = -9*x**2 - 2*x + 2. Give 99*f(m) - 2*p(m).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -1\/3, 3, 31, -1\/5, -4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001000000010111 (base 2) in base 15?\nAnswer: ade2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1955582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -275  (c) 2  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + b - 39, 4*z - 3*b + 8*b + 8 = 0. Let f(j) = 4*j + 6. Let w(u) = 5*u + 7. Let n(s) = 6*f(s) - 5*w(s). What is the units digit of n(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of -r**4\/4 - 13*r**3\/3 - 16*r**2 + 29*r + 58. Is a(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -5.15. Let m = -2.3 + 2.13. Let g = m + q. Put 1\/2, -0.2, g in ascending order.\nAnswer: -0.2, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -14781079*l**3 + 72888*l**2 + 24296*l + 24296. Let r(b) = 3042*b**3 - 15*b**2 - 5*b - 5. What is 5*p(q) + 24296*r(q)?\nAnswer: 3037*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 t, and 1 f when three letters picked without replacement from tfcfjctd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -176.8 - -161. Let m = -12.8 - g. Let k be (0 - 4\/6)\/2. Which is the nearest to k?  (a) 1  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00076131142 rounded to 7 decimal places?\nAnswer: 0.0007613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*4*(2 + -5 + ((sqrt(99) - -4*sqrt(99)) + 0 - -1*(sqrt(99) - (sqrt(99) + 1)))**2).\nAnswer: -19784 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 4*v**2 - 3. Let p be r(-4). Let b be 2\/p*(1 + -4). Suppose -5*y = -5*n - 20, 2*y - b*n - 9 = -y. Is y <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + 8*m**2 - 9*m - 2. Let y = 4 - 11. Let n be i(y). Suppose -4*v - v + n = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + 4 - (53 + -17)) + -15 - 11?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4538995601 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -102575124*m**3 - 89500359*m**2?\nAnswer: -615450744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1 - 6 - 508721*c - 132887*c.\nAnswer: -641608*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a**2 + 7 - 7)*(6*a**2 + 0*a**2 - a**2)*(2 + 2 - 2) in the form h*a**3 + u*a**4 + j*a + v*a**2 + s and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -9*a**2 + a + 18. Let h(r) = -5*r**2 + r + 9. Calculate -5*h(b) + 3*n(b).\nAnswer: -2*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-64)\/3)\/(2\/(-414)). Let v be x\/20*20*1. Is v\/33 + (-8)\/(-44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6\/91 - 382\/273. Suppose 4*l - g = 49 - 180, 0 = -2*l - 3*g - 83. Let o be -2 + (l\/(-8) - 2). Which is the nearest to o?  (a) -1\/4  (b) 0.1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (75 - 44)\/((-7)\/(-14)*-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of h**5\/15 + 17*h**4\/4 + 49*h**3\/9 - 17*h**2\/2 - 50*h\/3 - 509. What is k in y(k) = 0?\nAnswer: -50, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -71, -4, 2, 1, 16, 3, 357 in ascending order.\nAnswer: -71, -4, 1, 2, 3, 16, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3840 and 953340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Is 5638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -770  (b) 0.3  (c) 49205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3038*n - 3*h + 35 = 3034*n, -45 = 4*n - 5*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57462 (base 9) to base 10.\nAnswer: 38288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 1 = z + 3, -z + 5*o = -10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*j - 36*j - 3*o - 9861 = 0, 0 = 5*j + o - 49241. List the prime factors of j.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of 17*q**6\/120 + q**3\/3 + 18*q**2. Find the first derivative of f(l) wrt l.\nAnswer: 51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -4*t - 1. Let l be b(-1). Let q(j) = -j**2 - 2*j - 1. Let f be q(-2). Let z be (-2 + 1\/f)\/(-1). Solve 0 = l*p + 6 - z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l**(3\/4)\/l)\/l))\/((l*(l*l**(-15))\/l*l*l)\/l) assuming l is positive.\nAnswer: l**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1883343 is divided by 15563.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16389838?\nAnswer: 2, 599, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/(-70)*((-18)\/(1440\/16))\/(-1).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1439 and 0.066.\nAnswer: -94.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 344567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - q - 16 = 0, -2*q + 28 = 9*s - 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -96 + 145. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 39, 78, 129, 192, 267?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - -0.3. Let s = -7 + 12. Let t = s + -3. Which is the third smallest value?  (a) 5  (b) t  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 142\/89 - 6955\/1068. Calculate the common denominator of s and ((-205)\/(-45) + -5)\/((-80)\/168).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 2:01 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 459 * 0.3.\nAnswer: 137.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -85\/27, 0.4 in descending order.\nAnswer: 0.4, -85\/27, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001011 - -110000011001110?\nAnswer: 110000100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2865308 + 11*l**2 + 17*l**2 - l - 2865308.\nAnswer: 28*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 20*o - 43. Calculate m(17).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 492  (b) 0.1  (c) 0.03  (d) 4\/9  (e) 201\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87358243.\nAnswer: 7, 191, 223, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 8*v**2 - 9*v - 2. Let y be s(9). Let b = 10091 - 10089. Sort 4, b, 1, y in increasing order.\nAnswer: y, 1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 37*b - 329. Let j(f) = 36*f - 283. Calculate 5*d(v) - 6*j(v).\nAnswer: -31*v + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/9, -1777, -2\/405, 51 in ascending order.\nAnswer: -1777, -2\/405, 4\/9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11688382.\nAnswer: 2, 19, 307589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**5\/60 + k**4\/12 - k**3\/6 + 18*k**2. Let q be u(1). Solve 5*h = -4*f + 12, -q*f + 5*h = -f + 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11409*p + 6*p**2 - 11409*p + 8*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 - 4*q**3 + 4*q - 17 - 12 - 2*q**4 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*c + 31542 = -43*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -4 + -3 + (3 - 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 - -38. Suppose 9*d - 5*d = -f. Let a be d\/9 - 240001\/(-3). What is a rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 271372057 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: Let z(n) be the third derivative of 0*n**3 + 5*n**2 + 1\/168*n**4 + 0*n + 1\/420*n**5 + 0. Solve z(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -570 + 569. What is the nearest to r in 3\/8, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) 3\/2  (c) 5  (d) -0.0294\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*d + 4*m + 13, -2*d + 3 = 3*m. Suppose k + 4*z = -3, -3*z - 2*z + 19 = d*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5845963 is divided by 263.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 10 = 2*i. Solve -4*m + 2*f = 12, f = i*m + 6*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d - 7*d = -4*d + 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**3\/9 - 1303996*h**2\/3 - 212550261336*h + 3825920352016\/9 = 0. Calculate h.\nAnswer: -977998, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 5*c**2 + 2*c - 5. Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = d - 26. Suppose -v + d = v. Let a = v - 8. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2682 + 2682.11. Which is bigger: h or -16\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 3*q = 0. Suppose -3\/2 + q*l + 3*l**2 - 3\/2*l**4 + 0*l**3 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -115*v - 95. Let u = -50 + 43. Let a(r) = -77*r - 63. Let j(z) = u*a(z) + 5*w(z). Differentiate j(q) with respect to q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of z**5\/20 - z**4\/4 + z**3\/3 + 9*z**2. Let u be n(2). Suppose 0 = -2*q + u, h + 5*q = -0*h + 22. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mcum when four letters picked without replacement from afmyumcmaccc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i + 457 - 366 = -1634 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -500*z + 45. Let l be m(6). Let d be 8\/(-76) - l\/95. Calculate the greatest common factor of d and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 AM and 8:37 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 197\/3 - 66. Let h = -5 + 3. What is the nearest to 0.1 in h, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**2 - 2*y**2 + y**2)*(8*y - 4*y - 6*y + 4).\nAnswer: -6*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/((-3 + 2)*1). What is the common denominator of -10\/9 and (-102)\/b + 4\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 5 + 2 + 0. Suppose 529*q + 346*q - 87*q + 2364 = 0. Calculate z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110 = -n - 4*n, -8*i = -0*i + 20188*n - 20185*n - 74 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5052967 divided by 3.\nAnswer: -5052967\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 16, 0.1, -24\/37, 5 in ascending order.\nAnswer: -24\/37, -0.5, 0.1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 2503 = y + 2510, -8*y + 68 = 7*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/6)\/((-5)\/30). Suppose q = m*q - 6. Suppose 4*g + 72 = q*j + 13, -3*g - 57 = -3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/((-20)\/6 + 3). Suppose 3*t - b - 80 = -t, -i*b - 69 = -3*t. Calculate the remainder when 170 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2342 + 5703. What are the prime factors of o?\nAnswer: 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -203656600 divided by 952.\nAnswer: -213925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 250524 and 340991?\nAnswer: 12275676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1547*u**4 - 123218*u + 804 + 123218*u wrt u?\nAnswer: 6188*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000011101000000000001001 - 10?\nAnswer: 1000011101000000000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6480110 a multiple of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + -6 + 1)*-2. Suppose 45 = x + 5*r, 0*r = 3*x - r - 55. Solve j*f - x = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17277 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-5\/6))**(-34)\/((t**9*t)\/t)**(-32) assuming t is positive.\nAnswer: t**(847\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/6)\/((-3)\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 9*y + 12. Suppose 33 = -4*x + 2*v - 5, x + 3*v + 20 = 0. Let r be s(x). Let p = r + 8. Which is the closest to -2\/11?  (a) p  (b) -1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 take away -1.92037?\nAnswer: -126.07963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/40800 and -16\/9.\nAnswer: 122400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-30)\/60 - (-9)\/2. Put 1, 3, -3, b in ascending order.\nAnswer: -3, 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 193*h - 189*h - 57854 = -5*j, 0 = 3*h - j - 43381. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 830816 - 284072 = -10239*m - 3926*m + 1739*m for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - y**2 - 81*y + 38. What is b(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = p - 14. Suppose 191*n = 187*n + 40. Solve 2*b - n = p*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 4*z - 6. Let q(c) = 9*c - 13. Let m(s) = 13*p(s) - 6*q(s). Suppose -3*a + 12 = y, -2*y - a - a + 12 = 0. Let g(h) = y - 2*h - 3. Calculate m(g(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*k**4 + 16*k**3 - 32*k**2 + 632?\nAnswer: -8*k**3 + 48*k**2 - 64*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -341 by 5.\nAnswer: -341\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 6  (c) -9  (d) 13  (e) -2\/619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**5\/10 + 8*r**2. Let q(l) = -3*l. Give b(q(t)).\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*g + 19*g = 1445 + 285 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 7*m**3 - 3*m**2 + 6. Calculate y(4).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and (-4 - -3)\/((2 - 1)\/(-49 - -25)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 + 17*j - 144. List the prime factors of z(8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3107529?\nAnswer: 3, 449, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {s: 3, u: 1, o: 1, y: 2, a: 7, l: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 times 0.14?\nAnswer: 82.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - x = 148, 114 = 4*a + 5*x - 210. Suppose -7 = 3*y - a. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 8*k + 7. Let t be i(7). Suppose t = 6*w - w. Solve -3*y + 6 = -w*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 300006173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/80)\/(6\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4067 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -20697 times 31.68\nAnswer: -655680.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48951561, -48951564, -48951567, -48951570, -48951573, -48951576?\nAnswer: -48951579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -653 = -7*h - 135. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 715053733?\nAnswer: 715053730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*o - 110*o = -28. Suppose -9*f + 7670 = o*f. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 43 + 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 349*f + 346*f - 2101*f + 367*f + 344*f + 339*f + 349*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*y - 4 = -5*y, -2*y + 8 = 2*h. Let n(k) = -k**2 + 7*k + 11. Let q be n(8). Let x(p) = -5*p**3 + 7*p**3 - p**2 + p**q. Determine x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from assssssssassxxsxss. Give prob of picking 2 s.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000037749 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 6*a**2 + 2*a + 1. Calculate the lowest common multiple of n(-1) and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**5 - 3*d**5 - 3*d**5 + (-3*d + 3*d + 2*d**2)*(-5*d**3 + 0*d**3 + 3*d**3) + 34*d**5 + 59*d**5 + 71*d**5 - 122*d**5.\nAnswer: 36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 666 + -369. Calculate the highest common factor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*w + 5*w = 63*w + 1416 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 83, 153, 227, 305?\n\"Answer: 2*x**2 + 64*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - -33. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*t - 751 = -607 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 149086183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 35595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/7 and -41\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17944159 to the nearest integer?\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-2*sqrt(209))\/(sqrt(110)\/(sqrt(50)\/sqrt(5))))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 400123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -59, -106, -139, -152, -139, -94?\n\"Answer: n**3 + n**2 - 57*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**12*u*u*u**(8\/9)*u**9\/u**(1\/10) assuming u is positive.\nAnswer: u**(2141\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3 + -1 + (3 - -4) + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + (0 + -2 - -584) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2894729252 to the power of 1\/2, to the nearest integer?\nAnswer: 53803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/50)\/(((-432)\/(-35640))\/((-12)\/(-33))).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -6. Let y = 0 + -4. Let k = 9\/14 - 8\/7. What is the nearest to b in 5, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4284 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - -3)\/((-24)\/(-14748)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hbb when three letters picked without replacement from bbbbbbrbhbrrbbbb?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -262429 or -262428?\nAnswer: -262429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/(-24)*12\/585*-3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1133 - -1129. Which is the closest to -9\/5?  (a) 0  (b) g  (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (12456\/42)\/((-1020)\/(-126) + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3544 (base 9) to base 7\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-2) + 4 + -2. Suppose 137 = g*t + t - f, -t + 2*f = -39. Let w = t - 91\/2. Is w at least 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 3*l - 176. Let n(w) = 84 - 83*w - 176 + 84*w + 92. What is n(f(s))?\nAnswer: s**2 + 3*s - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 4*l**2 - l. Let v be w(2). Suppose 0 = -v*g + 191 + 61. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 352774561 <= 352774564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + 8*r - 10. Let b be k(7). Let j be b*((2 - 3) + 0). Suppose 2*v = -3*f + 46 + 7, j*v - 52 = f. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3643, 7283, 10935, 14599, 18275, 21963, 25663?\n\"Answer: 6*u**2 + 3622*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3649 * -1\nAnswer: -3649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -120512 - -1251?\nAnswer: -115221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k*o**3*x + 415*k*o**2*x**2 - 354*k*o*x - 429*o**3*x**2 + 3*o**2*x + 32*o*x wrt x?\nAnswer: 830*k*o**2 - 858*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 31377.21 months?\nAnswer: 2.6147675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 925 divide 12755750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1226628 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + (sqrt(396) - (sqrt(396) + -1) - sqrt(396))*-1 + sqrt(396) + -1 + sqrt(55)\/sqrt(5)*-3 + 1)**2.\nAnswer: -30*sqrt(11) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/848 and 61\/1060.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 842, 3716, 8482, 15134, 23666?\nAnswer: 34072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 314 + -221080?\nAnswer: -220766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.0206  (b) -1\/6  (c) 3  (d) 1\/4  (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**3 - 185244*j**2 + 1111572*j - 1667412 = 0 for j.\nAnswer: -46317, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 182, -10, 0 in descending order.\nAnswer: 182, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 14. Let y(x) be the first derivative of -7\/3*x**3 + 0*x**2 - 1\/4*x**4 - 13 + x. Give y(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.18 in -2508, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajjjjjahjjjhj. What is prob of sequence jja?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -50 - -45. Which is the closest to 1?  (a) 0.3  (b) 6\/5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -5*p**4 + 26065*p**3 - 337260*p**2 - 3848800*p + 4160000 = 0.\nAnswer: -8, 1, 20, 5200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tivf when four letters picked without replacement from {f: 1, c: 9, t: 2, i: 4, v: 4}.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 141 = -z, -u + 5*z = -4*u + 89. Let b = -19 + u. Solve 3 = 3*n - q, -6*q + q + b = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1059227561 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121000022100220 (base 3) to base 13.\nAnswer: -19bc105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 36*r**2. Let s(x) = -x**2. Calculate 8*s(h) - w(h).\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from srsusrsrssrrusrss. Give prob of picking 2 r.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3706512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-21)*(h\/(h**(-2\/7)\/h))\/h*h*h*(h**(-2\/35)*h*h)\/h*h*h**(3\/19) assuming h is positive.\nAnswer: h**(-10383\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/1190 and 23\/49.\nAnswer: 8330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (159\/9)\/((-1)\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from cjfjjfccfcc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/9, 0.04, 4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 204*i + 207*i = 9818, -i = -5*x + 9794. What is x rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25.7?  (a) -1  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 AM and 8:29 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-6)*15\/2. Let o be (-4)\/k + (-884)\/(-10). Let z be (99\/(-9))\/(1 + (-9)\/6). Calculate the highest common factor of z and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 - 3*p - 8. Let h(t) = -55*t - 216. Let z be h(-4). Give l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 17*o + 4. Let a = 1 - -8. Let b(g) = -4*g + 1. Determine a*b(m) - 2*u(m).\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 7:37 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, u: 7}. What is prob of picking 2 u?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 12 = -3*z, -z + 4 = -3*x - x. Suppose -s = -x*s + 11. Is 0 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-12) - 9\/(-18). Is -1\/4 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((309000\/(-206))\/(-150))\/(1*54)?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -63888192 divided by 288\nAnswer: -221834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of t**7\/840 + t**6\/60 + t**5\/120 + 7*t**4\/24 + 4*t**3\/3 + 7. Let u(i) be the third derivative of l(i). What is u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 411076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1206)\/(-14) + 8\/(-56). Let o = v + -53. Let a = o + 2. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*h = 26*h - 450. What is the remainder when h is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 295589093.\nAnswer: 295589093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (456\/1197)\/((-16)\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -2\/88509, 5\/8.\nAnswer: -2\/88509, 2\/7, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.12?  (a) 0.08  (b) -1\/3  (c) -27  (d) -39  (e) -1  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p + 9*p - 3*p)*(-p**4 + 0*p + 0*p) + 3*p**3 - p**5 - 2*p**3 + 3*p**5.\nAnswer: -10*p**5 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -6*(-17)\/(-8)*(-20)\/330*176\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -19. Let f(g) be the second derivative of 0 - 1\/6*g**3 + 0*g**2 + 3*g - 1\/6*g**a. What is the second derivative of f(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 765 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-14)\/10)\/(8\/40). Let s be (2 - 2) + 7 + 2 + y. Solve 9 = -s*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -0*d - 3*d + 277, -3*y + 170 = -2*d. What is the smallest common multiple of 20 and y?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32972 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - -2)*(3 - 1). Solve o*h + 6 + 4 = s, -4*s = -h + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-695*l**2 + 352298 - 352297 - 1441*l**2)*(0*l**2 - 2*l**2 + l**2) as t*l**3 + x*l**4 + r*l + o + f*l**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 5, 1, 2, -5.\nAnswer: -5, 1, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 241199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -3\/4, -0.5, -2\/13, -1\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 825 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**2 - 4*b**2 + 0*b**2 + (-2 - 2*b + 2)*(0 + 0 + b) - b**2 - b**2 + 0*b**2)*(-b**3 - 41*b + 41*b).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u + 12. Let k(y) = y + 5. Let x(q) = 13*k(q) - 6*m(q). Calculate x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-213)\/1136 - (-171)\/528.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-3\/5)\/c)\/c*c*c**3*(c**(-2\/11)\/c)**(-1))**(-29) assuming c is positive.\nAnswer: c**(-4118\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/7  (b) -0.4  (c) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l\/l**(3\/35))*(l\/l**9)\/l)\/((l\/(l\/(l\/(l*(l*l**(-13)*l)\/l))))\/(l**10*l)))**46 assuming l is positive.\nAnswer: l**(-14352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 + 41*y + 227. What is o(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(153) + 1 + 3) + (sqrt(153)*1 + sqrt(153))*-4 + (4*(-1*sqrt(153) + sqrt(153)))**2.\nAnswer: -21*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76) + 1 + -2)) + sqrt(76) + -1 + sqrt(76) + 1 + 5 + -3*((-1*sqrt(76) + sqrt(76))*6 + sqrt(76) + sqrt(76)*1 + -3))**2.\nAnswer: -300*sqrt(19) + 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2644149017?\nAnswer: 127, 20820071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*h**2*j**3*r + 7*h**2*j**2 + h**2*j + 122500*h*j**3*r + 9320*h*j**3 + 2*j wrt r.\nAnswer: -2*h**2*j**3 + 122500*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-280)\/(-4))\/(((-225)\/135)\/((-10)\/(-12)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/82 and 59\/20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6008 in -1\/6, 0.1, -0.04?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*y - 4*y - 25*y - 1510*y**5 + 1511*y**5 - 215*y**2 + 19*y**4 - 37*y + 55*y**3 + 196 = 0.\nAnswer: -14, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25433777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -162979, -325957, -488935, -651913, -814891, -977869?\n\"Answer: -162978*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 11  (b) 6  (c) -0.3  (d) 2  (e) 1209  (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 - 89048*h + 495596644.\nAnswer: 4*(h - 11131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 8 = -272. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 - 23*z + 9. Let h be f(10). Let c(m) = -m**2 - 21*m + 22. Calculate the remainder when 108 is divided by c(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14861 - -15.3834?\nAnswer: -14845.6166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0*j - 3*q = -79, j + 4*q + 12 = 0. Let i be j\/(-3) + (-2)\/9*3. Let z be -1 + 2 - (7 - 6). Solve z*x + i = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297*f - 13593 = -21315 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -1. Let q(i) = -2 - i**2 + 4 + 0*i**2. Let p be (-2 - -4)*-2*(-1)\/(-2). Give p*x(t) - q(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (0 + 3) - (25 - 56 - -15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.734 + -0.734. What is the nearest to r in 1\/9, 3, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50, 54, 68, 98, 150, 230?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {i: 2, w: 6, y: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057) + 2 + (-1*sqrt(2057))**2)*1.\nAnswer: 11*sqrt(17) + 2059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/1)\/27)\/(230\/(-414))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of 4*o**5\/85 + 5*o**4\/102 - o**3 + 18*o**2\/17 + 67*o. Factor c(u).\nAnswer: 2*(u - 2)*(u + 3)*(8*u - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/69480 and -89\/232.\nAnswer: 2014920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3275, 3272, 3267, 3260?\nAnswer: 3251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -95 or -1050\/11?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/7 + 59979896*u\/7 - 899396981042704\/7.\nAnswer: -(u - 29989948)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(50\/(-4)))\/((-143)\/(-110)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1853 + 676 = -237*t - 1974 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 8:34 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 236710 and 1200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/(-42) + (-378559)\/(-2271138). Let c = b - -383063710\/98794503. Let k = c - 19\/29. Find the common denominator of 45\/7 and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 3*z - 21 = 0, 3*z = 8*z - 10. Suppose d*h + 2 - 14 = 0. Solve -h*x = -3 - 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**5\/120 + f**3 + f**2. Let a(s) be the first derivative of j(s). Let h(l) = -2*l. Calculate a(h(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + a**2 - 20*a + 4. Determine g(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13, -24, -35?\n\"Answer: -11*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.05 - -4.05. Which is the smallest value?  (a) y  (b) -4  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -465549, -465617, -465739, -465921, -466169, -466489, -466887, -467369?\n\"Answer: -z**3 - 21*z**2 + 2*z - 465529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*y + 644 - 54 = -434 for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*5*(-2)\/24. Suppose -v - 5*c = -12, 18 = -3*v + 10*c - 7*c. Put n, v, 6\/7 in decreasing order.\nAnswer: n, 6\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -301*r**2 + 26*r*z**2 + 2*r*z - 52588*z**2 wrt r?\nAnswer: -602*r + 26*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60 + 150. Suppose c = 3*u - 8*u. What is the units digit of u\/15*(-10)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 22 = 10. Let j = -9.6 - 36.4. Let f = -47 - j. What is the third biggest value in 5\/3, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 6 = 5*f. Suppose g - 37 = -4*q, -7*g - 40 = -5*q - 2*g. What is the smallest common multiple of f and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dif when three letters picked without replacement from uufdviivuiul?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.996 + -0.004. Which is smaller: o or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 45 = 6*h - h, 0 = -5*h + 4*q + 45. Let o be 1*(4*h\/12 - 2). Is o at least as big as 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 6:48 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.2 - 2.098. Let g = n + -9.802. What is g rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1208\/24 + (4 - 39\/9). Solve -10*w + 0 = -z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-44 - -79) - (3 - -7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 189811, 375856, 561901, 747946, 933991, 1120036?\n\"Answer: 186045*z + 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3765366 divided by 6.\nAnswer: 627561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 - -3. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (-3 - (130\/(-20) + -3)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.0194823l?\nAnswer: 19.4823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1011013 - 2000304?\nAnswer: -3011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3242*a**3*s**2*w**2 - 51*a**3*s**2*w + a**3*s**2 - 2*a**2*s**2*w + 39*a*s**2*w**2 + s wrt w?\nAnswer: -6484*a**3*s**2 + 78*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -5*l + n, 2*l - 2*n + 85 = 93 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -124, -573, -1346, -2449, -3888, -5669, -7798?\nAnswer: -10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -65355\/2 + 34981. Let s(x) = -142*x**2 - 4*x + 2. Let b be s(-4). Let w = a + b. Find the common denominator of 71\/4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4752 (base 14) in base 13?\nAnswer: 5865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2136.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72430091?\nAnswer: 72430091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.1, -65\/4, 13, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26970*u + 26970*u - 141*u**3 - 53943*u + 2 to the form v + g*u**3 + t*u**2 + y*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -608\/13, -8, 1\/46?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2 + 1)*(-2*b + 95*b - 15*b - 3) to the form a*b + x and give a.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 0*v = -2*l + 169, -2*v = 5*l - 421. What is the highest common divisor of l and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3 - 10224*b**2 - 744255*b - 13692738.\nAnswer: -3*(b + 37)**2*(b + 3334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 59344243763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2912935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 2)*(-3*y + 3 - 3)*(-2*y**2 + 1 - 1)*(-5 + 5 - 3*y).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.83 + 11. Let j = 0.1 - u. Let v(p) = -2*p**2 + 39*p - 54. Let o be v(18). What is the closest to o in -4, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-6 + (-9 - -18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 11, n: 5}. Give prob of picking 2 n and 1 h.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 131269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9503 divided by -115.\nAnswer: 9503\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 77\/11)*(-3)\/1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pirpzpppppppippr. What is prob of picking 1 p and 1 i?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = a - 32, 7*a - 10*a + 13*j = -84 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9*3\/(-3 + 12). Solve -g*n - 6 = -0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - -4)*4\/(-2). Let s(j) = 2*j**2 + 3*j. Let p(t) be the first derivative of 2*t**3\/3 + t**2 + 1. Let z = -1107 + 1110. What is n*s(d) + z*p(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 217.4182 nanograms in tonnes?\nAnswer: 0.0000000000002174182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -9*c - a + 5, -3*c + 3 = -3*a. Let i be (21\/(-6) - -3)\/c. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3039 and 3988?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 6*i - 93. Let b(z) = 2*z**2 - 1589. What is s(b(d))?\nAnswer: 12*d**2 - 9627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -5599*t + 4. Let p be o(-4). Suppose 0 = u - 5*u + p. What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -57ab (base 16) to base 4.\nAnswer: -11132223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 15*x. Let s(m) be the second derivative of -m**7\/2520 + 9*m**4\/4 + 6*m. Let i(o) be the third derivative of s(o). Determine c(i(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 12*l**2 - 15*l - 22. Let t be (0 + 9\/(-6))*(-286)\/(-33). Let z be h(t). Suppose -2*q = -3*q - z, j = 4*q + 115. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(-1)\/(-10) + 26\/5. Let d(f) = -f**2 + 10*f - 5. Give d(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7112311, 7112301, 7112291, 7112281?\nAnswer: 7112271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.45211 rounded to one dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -656 by -4.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 9579.7, 5, -64, 0?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 898783*n**2 + 511777*n wrt n.\nAnswer: 1797566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 1)*(3*s + 2*s - 3*s)*(-5 - 1 + 10)*(-11 + 5 - 4).\nAnswer: -160*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88839177?\nAnswer: 3, 7, 89, 47533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.09, -3, -3\/7, 0.3.\nAnswer: -5, -3, -3\/7, 0.09, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 5*r + 38. Calculate x(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*l**2 + 2*l**3 + 50*l**2 + 0*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b + b + 0*b - 4*b + b + b + (-2*b + 6*b - 2*b)*(-2 + 2 + 2) - 15*b - 51*b + 3*b)*(0 + 0 - b) in the form c*b + w*b**2 + u and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -1  (b) 0.4  (c) -3\/4  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 617 a factor of 132655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qquu when four letters picked without replacement from qunnqmqnqnquuueqqnem?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12\/19?  (a) -36  (b) -0.2  (c) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 12 + (-9 - 13)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*a = 41*a + 1017 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*k - 35*k - k**2 + 17*k to the form m + s*k**2 + d*k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 3:45 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -116*-0.096019.\nAnswer: 11.138204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/((-282)\/70 - -4). Suppose -17*a = -10*a - w. Round a to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 504 = -0*u. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 45 in 64, 0.2, 42\/13?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 6 - 7*j + 2 + 6*j. Let r be p(-7). Solve 9*b - r = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**3 + 3953330*s**2 - 31626880*s + 63253920 = 0. Calculate s.\nAnswer: -790674, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 153 = 4*p, -p = -3*u + 143 - 47. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0844 + -2.9156. Let z = -6.2 - -2.2. What is the closest to -2 in z, n, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5*u**2 + 2*u**2 - u**2)*(-4*u + 7*u - 4*u) + u**3 - 4 + 4)*(u - 2*u + 4*u) as p*u**2 + k + g*u**3 + b*u**4 + s*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**4 + 30*j**3 - 480*j**2 + 1120*j.\nAnswer: 5*j*(j - 4)**2*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3e7e (base 16) to base 9.\nAnswer: -23845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 32070?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/4?  (a) 2  (b) 157  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10793328 divided by 6.\nAnswer: 1798888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 864 + -336. Is 33 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/360 and -119\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -7. Suppose -j - 1 = -0. Let t be (-3)\/(-6) + (-6)\/(-9) + j. Which is the third biggest value?  (a) h  (b) t  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d + 223. Calculate y(-6).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/10216958 and 83\/17396442.\nAnswer: 643668354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 54\/12 - (-6)\/4. Suppose -3*b - 3*k = -j, 2*b = 7*b + 4*k - 12. Suppose 2\/3*z**3 + 0 + 0*z - 2\/3*z**b + 2\/3*z**2 - 2\/3*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 4*g = -36, d + 19 = -0*g + 3*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**5 + 2*d**4 + 6*d**3 - 2*d**2 - 4*d = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -526871050?\nAnswer: -526871047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 235 - 330. Let a = h - -53. Let c = a - -43.5. Put 0, 1\/2, c in increasing order.\nAnswer: 0, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - (1*sqrt(76) - sqrt(76))*-6)\/(sqrt(12)\/(sqrt(3)*-2)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -4*a + 234. Suppose 0 = a*t + 2*t - 51496. List the prime factors of t.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -5. Suppose 8*b - 4*t = 4*b + 16, 0 = -4*t + 16. Solve -4*r - 4*o + b = -0*o, -v = -3*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9490)\/(-219)*66\/(-143).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -74\/3 and 131\/1380750.\nAnswer: 1380750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-445)\/(-1056252)*129*-1*2\/(-10).\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 + 3)*(3*g - 2*g + g + (0 + 0 - 1)*(2*g + 2*g - 3*g) - 2*g - 1 + 1 + 1)*(2*g - 3*g - 2*g) + (129*g - 64*g - 212*g)*(-2 + 2 + g).\nAnswer: -153*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-2))\/(1\/((-6)\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -267 in 0, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 59267668 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*g, 3*g - 3 - 2 = -2*f. Solve -f = -2*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 243?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 951275153 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = 5*p + 12 - 34, 30*p - 5*m + 3*m = 22*p + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 16700 = -2800. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**3 - 11*g**3 + 9*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/(-286) - 16\/104 - 345\/(-220).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-4 + sqrt(320) + -2)**2.\nAnswer: -96*sqrt(5) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -172 - 73. Let x be 1*-6*(-5)\/2. Let r = h - x. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 20 = -5*w, 5*w + 2*u - 10 = w. Suppose -n + 8*n + 497 = 0. Let k = w - n. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u + 1. Let j(h) = 5*h - 5. Let f(a) = -a**2 - 3*a - 2. Let k be f(-4). Determine k*b(c) - j(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*m**4 + m**4 + m**4 - 21*m**3 + 21*m**3 - 5*m**4 + (0*m + 0*m + 4*m)*(-2*m**3 + 2*m**3 - m**3).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f + 7*f - 6*f + f**2. Give g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-9)*11*(-1890)\/21560\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-624)*221 - 9\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 - -23. Let r be 4\/1 + (-2 - 0). Suppose -k*l = -r*l - 63. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 432 and 17262?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/11 - 4776*w\/11 - 9560\/11.\nAnswer: 2*(w - 2390)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(154\/21)\/(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 792 and 12080664?\nAnswer: 132887304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -960850 (base 10) to base 3.\nAnswer: -1210211001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 65754*r + 5381 wrt r.\nAnswer: 65754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.95636 - 153700064\nAnswer: -153700063.04364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y - 5*y**2 + y**3 - 1 - 3 + 0*y**3. Let f be n(5). Let c be (2\/f)\/(6\/(-9)). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 174763*f**6 + 16852*f**2 + 10*f.\nAnswer: 20971560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h + 3. Let w(b) = b**3 - 10*b**2 + 5*b + 12. Let n be w(9). Let z be n\/(-8) + 11 + -7. What is x(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3447986?\nAnswer: 2, 83, 20771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -224 (base 6) to base 16\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -196 + 242. Calculate the greatest common factor of 69 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1557214918.000831 - 1557216373. Let p = o - -1455. What is p rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 15*h - 9. Solve -6*a = 4*r - a + 8, h*a = -20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 4*j**3 - 54*j**2 + 12*j - 2. Is g(14) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4993888 or 4993890?\nAnswer: 4993890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38241 and 1071.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216*l**2 + 19*l**2 - 126*l**2 + 11*l**2.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + 58 - (2 + 16 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of -o**8\/896 + o**7\/560 + o**6\/64 - o**5\/32 - o**4\/16 + o**3\/4 - 4*o**2. Determine w so that g(w) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -82, -3, 0.4, 3188\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 361.1 + -296. Let i = j - 65. Which is the nearest to i?  (a) 1\/4  (b) -5  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - 53*d + 115. Give b(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2558.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10.31 - 11.7. Let o = t + -0.41. Let f = -1.79999602 - o. Round f to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3 + 9*t**2 - 12*t.\nAnswer: 3*t*(t - 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.36792085 to two dps.\nAnswer: 18.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) - (5 - 5395053\/(-330)). Suppose -2*y - 25049 - 7667 = 0. Let a = y - w. What is the common denominator of a and -131\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 87\/14 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*a**3 - 1456 + 204 + 1202.\nAnswer: 23*a**3 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.8 - 5.9. Which is the second smallest value?  (a) -0.2  (b) 2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -3 - 9 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0)\/(82\/(-41))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 112116 and 32.\nAnswer: 896928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 17485.6 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 506*i - 19412. Give u(38).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2762.12 decades in years?\nAnswer: 27621.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = -16*i - 6*i. Let z = 0.6 + -5.5. Let q = z - -5. Which is the third biggest value?  (a) -5  (b) i  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**(-1\/2)\/h*h*h)**19*h**1*(h\/h**(-4))\/h)\/(((h*h*h**(-1\/7))\/h*h**(2\/11))\/(h\/(h\/h**(2\/7)))**(-19\/4)) assuming h is positive.\nAnswer: h**(3858\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 9*b - 6. Let s be g(4). Let x = s + -18. Is (x\/6)\/(2\/(-9)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 58  (b) 0.03  (c) 84\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-165)*25)\/(-4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1042, -3384, -7024, -11962, -18198, -25732, -34564?\nAnswer: -44694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 less than or equal to 115654\/14561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19\/20 + (-10)\/(-40))*10\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*g - 1 - 24 + 12*g to the form v + j*g and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from ggouuoguugxgg?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6458578759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6678 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: Let o be (-1)\/(3\/18)*-1. Suppose c = -c + 4. Calculate the remainder when 2 - (2 - (-2 + o)) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 5. Which is the closest to 1?  (a) -0.05  (b) 5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -52665.\nAnswer: -1\/10533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15\/6*(-32)\/(-10). Suppose -3*k = t - 9, -3*t - 3*k = -p*k + 15. Suppose t = -5*r + 122 - 47. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*u + 10*u + 10*u + (4 + 0 - 2)*(-2*u + 0*u - 3*u) + 5*u + 18*u + 25*u to the form d + n*u and give n.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -55 + 76. What is the remainder when (-20)\/(-1*(-3)\/(-9)) is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129522198 at most 129522203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 - 32. Suppose 22 = 4*o + 2*s, -y*o = o + 5*s - 25. Let k be 0 + 1 + (-3)\/o*-142. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -489.3 + -45.7. Let b = r + 534.9. Put 2, 12, b in descending order.\nAnswer: 12, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2*j - 2. Let o be l(2). Let i = 160 + -160. Suppose o = -z - i. Is z equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 112647864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/66 and 8\/3136491.\nAnswer: 69002802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04971 and -0.47.\nAnswer: 0.0233637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*q - 2*q + q**2)*(-3 + 6 - 4) + 1125*q**2 + 25127*q - 25127*q)*(-1 - 2 + 6).\nAnswer: 3372*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 = -x - x + 506*p - 508*p, -4*p = -0*p + 120 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 377340 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001574 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1097392448 to the power of 1\/3, to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.3, 1\/4, 486, 3, 0.5 in ascending order.\nAnswer: -0.3, 1\/4, 0.5, 2, 3, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27509333?\nAnswer: 2399, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(88) + (4*sqrt(88)*2 - sqrt(88)) - sqrt(88))\/sqrt(11))\/((sqrt(108)\/((sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3)))\/sqrt(9)))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 5*x**2 - 4*x + 11. Let t be u(-6). Suppose -y - 4 = y. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5365)\/6438*(-84)\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {t: 1, f: 2, a: 2, l: 2, n: 1, b: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/2128 and -3\/21698.\nAnswer: 1215088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-7400)\/(-6))\/(14\/231)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4*r. Let g be o(3). Let y be 4\/1*(-9)\/g. What is the units digit of (10\/(-3) - 0)*y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 25*a - 46. Let v be b(0). Put -1, v, -5 in ascending order.\nAnswer: v, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38 - -42. Suppose -x*m + 14 = -78. Suppose 0 = 3*w + 2*q - m, 2*w + 0*w + 5*q - 30 = 0. Solve p = -w*k + 8 + 13, p = -3*k + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-364 - -359) + (-10 - (3 - (-1 + 2)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010484291 to six dps.\nAnswer: 0.010484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 21*y**2 - 49*y - 20. Suppose -26 = v - 12*z + 13*z, 4*v - 2*z + 86 = 0. What is the remainder when p(v) is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.65 - 0.05. Let o = -0.7 + q. Let f = 7\/114 + 2\/19. What is the closest to o in 3\/7, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 89921\/80 + -1124. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 5. Let d be t(0). Let m be d + (-1 - (-2)\/1). Suppose 11 = -3*j + 8. Sort j, m, -2\/11 in ascending order.\nAnswer: m, j, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 15*y**4 + 185*y**3 + 590*y**2 + 60*y - 360 = 0.\nAnswer: -6, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3846 and 540.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**7\/840 + c**6\/60 - c**5\/10 + c**4\/3 - c**3\/6 + 3*c. Let k(j) be the second derivative of v(j). Factor k(t).\nAnswer: -(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 68*s**2 - 2*s - 32*s**2 + 12 - 4*s**2 + 0 + 14*s**3 - 30*s**2 in the form g*s + v*s**2 + j + i*s**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 300782 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 8*o**2 - 4*o - 23. Calculate the remainder when 1555 is divided by f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 4*z - 2. Let d be j(3). Let i be (-16)\/4*d\/(-10). Let p = 0.3 + 0.7. Which is the nearest to p?  (a) 4  (b) 0.5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ffsffsfssfssf?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by (-236)\/(-9) - (-32)\/(-144).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffwwfwwwwwffww?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -31115073, -124460306, -280035695, -497841240?\n\"Answer: -31115078*r**2 + r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**3 - 5*x**2 + x + 8. Calculate q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000004405 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 64911367 to the power of 1\/2, to the nearest integer?\nAnswer: 8057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 4:08 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvblvvvvvcbvllvlvcvc. Give prob of sequence vv.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 - -29.5. Let h = m + 3. What is the nearest to -1.4 in 4\/5, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 17*j**2 + 47*j - 89. Calculate i(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q + 5*q - 15*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3126773, 3126758, 3126743, 3126728, 3126713, 3126698?\nAnswer: 3126683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**2 + 2*q - 35. Is m(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 6395 = -4*c - 6411, 3*m = -4*c - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 7*x**2 + 6*x + 2. Let g be l(6). Solve -g = -o - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (16 - (-6 + 29) - (0 - 22)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 101001011101 (base 2) to base 15\nAnswer: bbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {x: 1, p: 1, g: 5, c: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wootozw. What is prob of sequence zooo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j - 38*j**4 + 24*j**4 + 1 + 15*j**4 - 11*j**3 as c*j**4 + n*j**2 + x + g*j + z*j**3 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + -5 + (-398)\/(-134). Let t be (-5)\/1 + (3 - 0) + 119 + -114. Sort -3, j, t, -1.\nAnswer: -3, -1, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/2 - 1\/6. Let q(v) be the third derivative of -1\/30*v**5 - 1\/120*v**6 + 0*v + 0 + v**2 + d*v**3 - 1\/24*v**4. What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -83*f**9\/126 + 29*f**5\/30 - 64*f**2 + f. What is the third derivative of t(h) wrt h?\nAnswer: -39840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -257 - -72. Let y = o + 305. Calculate the remainder when y is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(-24)*-3 + 2\/(-4). Which is the second biggest value?  (a) r  (b) 32  (c) 0.2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -22 - (8 - (-9 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + b + 2. Let h be n(-3). Let v = 30 + h. Solve 3*q = -v*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 7090  (b) 1\/3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 76 - 11. Suppose -9*s + 8*s = -39. Let q be 3*s\/9 - 0\/(-4). Calculate the highest common divisor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 minus -8.9669692938?\nAnswer: 63.9669692938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 2*d - 3 + d)*(-3*d - 2*d + d).\nAnswer: 4*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((12\/8)\/1)\/12.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39672?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -35 + -2 - (-52 - -63 - 11).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.044 * -7\nAnswer: -7.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/10 and -31\/12144830.\nAnswer: 12144830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 18b6 (base 15) in base 8?\nAnswer: 12342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 522 - 241. List the prime factors of c.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 8 + 8. Let k(h) = h**3 - 5*h**2 + 6*h - 1. Determine k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 + 29*g**4 + 23*g**4 - 53*g**4 - 6*g + 0*g**2 in the form l*g**3 + x*g**4 + p*g + h + b*g**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (-207)\/(-30)) + 8\/(2480\/(-5611))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {o: 3, q: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1015 (base 14) to base 9.\nAnswer: -3710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1537 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 362.913 months?\nAnswer: 30.24275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/7))**(11\/3)\/(a*a**(-2\/13)*a\/((a**5\/a)\/a)) assuming a is positive.\nAnswer: a**(29\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*s - 1 + 1 in the form u*s + o and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (73 + -76 - -3) + -35.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwjwjwwwwjjwjwjwwwj. Give prob of picking 3 j.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of -4\/3*v**2 - 2*v + 0*v**3 + 0 + 1\/18*v**4. Suppose a(c) = 0. What is c?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18 + 3\/(-12)*0. What is the units digit of b\/12 - (-30)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10493 and 7?\nAnswer: 10493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -t - 33. Let z = 44 + t. Is z a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 4*f - 8. Let j(s) = -78*s + 48*s + 11*s + 7*s + 11*s. Determine a(m) + 8*j(m).\nAnswer: -4*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of -c - 1\/3*c**4 - c**2 + 2\/3*c**3 + 0. Let f(n) = -17*n**2 + 17*n - 8. Calculate 2*f(z) - 9*y(z).\nAnswer: 2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -16\/251?\nAnswer: -16\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-4*-3*(sqrt(12)*1)\/sqrt(4) + (-3*-2*sqrt(480))\/(sqrt(90) + sqrt(90) + (-1*sqrt(90) - sqrt(90)) - sqrt(90)).\nAnswer: -56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.247 - -0.447. What is the closest to -2\/27 in p, -3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 - -0.1. Round v to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -219, -435, -649, -861, -1071, -1279?\n\"Answer: g**2 - 219*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 8*l = 11*l + 70, -5*l - 35 = i. Let m be (i + 39)\/((-2)\/39). Are -1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 12. Let w = 0 + l. Let p(y) = 4*y - 12. Let j(h) = 2*h - 8. Let f(g) = 5*j(g) - 3*p(g). What is f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**46*j)**16\/((j\/j**(45\/7))\/(j**(-8)\/j)) assuming j is positive.\nAnswer: j**(5239\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**3\/i)\/(i*i**(-9)*i))\/((i\/i**7*i)\/i**(-4)))**(3\/5) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 200  (c) 288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1968 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57) + sqrt(228)\/sqrt(4)*6)\/(sqrt(192)\/sqrt(4) + sqrt(48) + sqrt(48) - sqrt(48)).\nAnswer: 7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -5  (c) -1  (d) -0.14  (e) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7685575 is divided by 345?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13\/180 + 3\/20. Which is the fourth biggest value?  (a) 5  (b) i  (c) -4  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence md when two letters picked without replacement from mmdm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2120 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1237.7 rounded to the nearest 10?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 66*m - 43*m - 9384. Let j = 408 - m. Let l be (-69)\/(-6) - (-1)\/2. Solve l = p - 5*y, j = -2*p - 0*p - y - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/29?  (a) -258  (b) 1  (c) -16.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 0.32, -3\/16, -0.5, 4, -0.1593?\nAnswer: -0.1593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6181 a factor of 106088565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-5)\/3)\/((-2)\/6). Suppose -4*r = -i - 9, 2*r = -i + c*i + 50. Let o be -2*(-2 + (-25)\/i). What is the second biggest value in o, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((18\/77)\/((-27)\/(-126)))\/(-19 + 20).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 less than 141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 294 divide 48014610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((49\/14)\/(-7))\/(2\/(-24)). Let q(j) = j**2 - 12*j + 37. Let d be q(a). Factor d + 43*u**2 - 39*u**2 - 5 + 2*u**3 - 2*u.\nAnswer: 2*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-18))\/1*(-63)\/(-35). Let i = 48 - 910\/19. What is the third smallest value in i, -1, -4, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 8*a**2 + 5*a - 5. Let r(n) = -6*n**2 - 9*n + 9. Let t(p) = -p**2 - p + 1. Let b(j) = -r(j) + 15*t(j). Calculate -5*b(f) - 6*o(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*m - 2*n = 143*m - 8607, -25817 = -3*m - 2*n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 5*a - 1 = -27, -4*o = 4*a - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 138*m + 10. Let g(v) = -138*v - 12. Let q(x) = -5*g(x) - 4*n(x). Is q(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -0*u + 2*u. Suppose u*y - y = 15. Suppose -5*k = 0, -y*k + 13 = 2*z - 5. Solve -3*s = -0*s - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + a)*(3 + 5 - 2) + 2*a - 1 + 1 + (-1 - 1 + 1)*(0*a - 2*a + a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*r + 5. Suppose -z = r*z - 6. Suppose 120 = 2*p + 4*i, p = -z*p + 2*i + 156. What is the highest common factor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -18508531, -74034139, -166576819, -296136571?\n\"Answer: -18508536*o**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 246296 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -4*l + 2. Let q(n) = -n**2 + 11*n - 6*n - 3*n - l. What is q(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 319 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, a: 4, j: 4}. Give prob of picking 2 a and 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8512.023 micrograms to nanograms.\nAnswer: 8512023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -89737064 take away 6?\nAnswer: -89737070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**2 - 3. Let s be 32 + -24 - (0 - -4). Does 5 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -8. Let k = -3.7 + f. Let w = k + -0.2. What is the third biggest value in w, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus -11288?\nAnswer: -11283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -1. Let h be 0 - -2 - 2\/l. Which is greater: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -27. Suppose -u*d - 39 = -13*d. Suppose k = 38 - d. What is the highest common factor of 275 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + x = -16, 4*x = -0*a + 4*a - 24. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-25 - -4) - 1178\/(-14). Suppose -5*z - 69 + g = 0. Solve n + z*n = -12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -206*z**3 + 207*z**3 - z**2 + 7*z - 6*z + z + 0*z**2 + 3 in the form w*z**2 + s*z + k + m*z**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(39)\/sqrt(3)*-5)**2 - sqrt(13)) + (-1*sqrt(104))\/sqrt(8) - sqrt(130)\/(1*sqrt(160))) + -1*5*(2 + sqrt(13) + -2)**2*-2.\nAnswer: -9*sqrt(13)\/4 + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45521253.\nAnswer: 3, 5057917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**3\/3 + 3*v - 2. Let q(r) be the first derivative of o(r). Let w(h) = -h**2. Determine w(q(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 9887.514036 and -5.\nAnswer: 9882.514036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 526*f**2*r**2 + 23*f**2*r + 12*f**2 - 306*f*r**2 + 15*f*r + 4*r - 24 wrt r.\nAnswer: 1052*f**2 - 612*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7568, -15167, -22756, -30329, -37880, -45403, -52892?\n\"Answer: a**3 - a**2 - 7603*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1485, 1478, 1459, 1422, 1361, 1270, 1143?\n\"Answer: -z**3 + 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9 or -60\/7?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 161 less than -5.4?\nAnswer: -166.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72520 - -0.3183.\nAnswer: 72520.3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1976 + 1977. Put 0.19, p, 3 in descending order.\nAnswer: 3, p, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1008274559, 2016549119, 3024823679, 4033098239?\n\"Answer: 1008274560*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*p + 74*p = -152. What is the remainder when p is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4)*((-35)\/3)\/(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5203100 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 68*n**3 + 11*n**2\/2 - 6*n + 155. Find the second derivative of b(q) wrt q.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2395.9 - 2396. Which is smaller: -983 or i?\nAnswer: -983","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - z = 0. Let k(m) = -m**3 - 9*m**2 + 20*m - 8. Let l be k(-11). Suppose z*x = 2*x - l. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-1)\/15)\/(8\/(-980)) and 9\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -0.316, 1\/8, -4\/5, -1, 2, 11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 4, -0.16, -1\/8, 3, -2 in decreasing order.\nAnswer: 7, 4, 3, -1\/8, -0.16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (75\/(-5))\/(-60) - (-471)\/4 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -195 or -162459\/832?\nAnswer: -162459\/832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 428495\/39 + -10987. What is the nearest to q in -1\/5, 3, 9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 615548 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 135610496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -72 - -81. Calculate the common denominator of (-39)\/(-5)*(v + (-470)\/55) and -40\/101.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/873 and -50\/39.\nAnswer: 11349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162*t = 1178*t + 6096 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -13 - 8. Let a(o) = -9*o + 46. Let k(w) = 8*w - 39. Let u(m) = 6*a(m) + 7*k(m). What is u(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14494b3 - -30?\nAnswer: -1449483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45356 - -45356.049067. What is v rounded to 3 decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - 46. Which is smaller: y or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/1170 and -151\/129870.\nAnswer: 129870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 26, 45, 64, 83, 102?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**2 + 9*f**2 - 6*f + 16*f - 10*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 178965919 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*h - 50 = 27*h. Suppose h*g - 616 = 414. What is the remainder when g is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 991397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 26 = -4*j, -m + 6*m = -4*j - 30. Let u be (-2)\/(-6) + m\/18. Which is smaller: 0.4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10944)\/8064*(-8)\/19?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - 2\/(4\/(-70)). Let h be (39 + -4)\/5 - 2. Suppose 2*f - 14 = h*y + 12, 2*f = y + 10. Calculate the greatest common divisor of g and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 9 - 12. What is the second derivative of m*h**4 - 5*h**4 - 3*h + 2*h wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 9, w: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 317 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 <= -861\/124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + -0.68318?\nAnswer: -0.78318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (11 + -9)*(-1)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*d - 18 = -13*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, 2, 3, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -706*f - 691*f + 2793*f - 710*f - 745*f.\nAnswer: -59*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b - 1. Let y(o) = -o**2 - 9*o + 6. What is 6*k(q) + y(q)?\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.031997 and 0.1031.\nAnswer: -0.0032988907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1+283.7\nAnswer: 284.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.11273 + 0.11273. Sort -4, -10, a, 3, -37.\nAnswer: -37, -10, -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20 + (-9)\/(-9) + -7. Solve -4*t = -3*p - j, 4*t = -p - p + 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/1512 and 145\/1848.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 26*a - 28 = 0, 5*l + 2*a + 83 = 86 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2*(8\/(-6))\/(4\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -3, 8036, 5\/94?\nAnswer: 8036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 555*v = 550*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21158 + -21517. Is t smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 16840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, -2, -3\/7, 3 in decreasing order.\nAnswer: 3, -1\/6, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**5\/6 + 3*i**2 + 8. Let r(u) be the second derivative of m(u). Let s(k) = -k**2. Determine s(r(d)).\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 894729 or 894731?\nAnswer: 894729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16?  (a) 2\/55  (b) 5  (c) -9  (d) -0.1  (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 55941698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29456 and 3661.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 42*u**3 - 25*u**3 + 4 - 16*u**3 + u - 2*u**2. Let k be d(0). Let z(h) = 6*h - 14. Let j be z(k). Solve -4*f - 3*v = -2*v - 22, 4*f - j = 5*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(171)\/(sqrt(108)\/sqrt(3))*-2 + (-2*sqrt(684) + 0 - (sqrt(76) + 0 + sqrt(76)*-1)))**2.\nAnswer: 78*sqrt(19) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and -51086638.\nAnswer: -51086634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*q - 20 = -28*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 20, -2*l + 6*l + 4 = 4*d. Let k be 2\/d + (-5778)\/(-11572). Let b = -10785\/2893 - k. What is the common denominator of 36\/11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235526435 (base 7) in base 11?\nAnswer: 8316aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0503 and 1.\nAnswer: 0.9497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 130*a*p**3*u**3 + 3*a*p**3*u - 2*p**3*u**2 - 5*p**2 - 2*p*u**3 wrt a.\nAnswer: 130*p**3*u**3 + 3*p**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 take away 0.0638?\nAnswer: -6.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -478.453 rounded to the nearest integer?\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, u: 2, h: 1, d: 2, s: 1}. What is prob of picking 1 p and 2 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6781, -13301, -19671, -25897, -31985?\n\"Answer: -f**3 + 81*f**2 - 6756*f - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eiiereieeeewieaia. Give prob of sequence ewe.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/5 and 65\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*b**3 + 7298*b + 112354 wrt b?\nAnswer: -9*b**2 + 7298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-1)*-1*-1. Suppose 0 = 10*x - j*x. Solve x + 1 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1831 (base 10) to base 3.\nAnswer: 2111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*l + 159 = 21*l. What is the remainder when l is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 2\/7  (b) -0.2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 - (-1 + -10 + -391 + 391).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 8) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 773\nAnswer: -4\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 - 16*q**2 - q + 16. Let n be p(16). Solve n*l - 86 = 43*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**2 + 0*r**2 - r**2 + (-r - 3 + 2 + 2)*(-51*r + 68*r - r - 16) in the form a*r**2 + c + x*r and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - 60 - (1 - (7 + (-6 - -7) - 6))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 7*i**2 - 4*i + 10. Let f(m) = -17 + 3*m - 12*m - 4. What is the remainder when f(-9) is divided by c(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 671*f**2 - 27*f + 199. Is q(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 6*s. Let t(r) = -93*r**2. What is x(t(h))?\nAnswer: -558*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -3*y**3 - y**2 - y. Let s be g(-1). Let k be (45\/25)\/(15\/(-50)). Let p be 1 - 2 - (-12 - k). Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1045*l - 1043*l + 1 - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (96 + -173 - -7).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142725 is divided by 71303.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**(-3\/11)\/h*h**(-7) assuming h is positive.\nAnswer: h**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + 4)\/(5\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68116, 68136, 68172, 68230, 68316, 68436, 68596, 68802?\nAnswer: 69060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*i**2 - i**2 + i**2)*(3*i**2 - 2*i**2 - 4*i**2) - 4*i**4 + 3*i**4 - 8*i**4)*(i + 4*i - 6*i).\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -9981688?\nAnswer: 998168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 29, 8 in decreasing order.\nAnswer: 29, 8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((3 + sqrt(65)\/(1*sqrt(5)))**2 + (sqrt(156) + -2*sqrt(156)*-3 + sqrt(156))\/sqrt(12)) + 3.\nAnswer: -28*sqrt(13) - 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 151, 331, 563, 835?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 7*c**2 + 6*c - 11. Let a be f(-8). Solve i = a*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(-10) + (-5)\/(-2). Suppose 2*d - 5*l = 6, m*l + 2*l = 20. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(0 - -2) - -56805. Suppose -n = 2*x + 61192. What is x rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 4*l - 2*l)*(-133*l + 33*l + 58*l)*(2*l**3 - 5*l**3 - l**3).\nAnswer: 168*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47226202?\nAnswer: 2, 757, 31193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/39 and 95\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005404295171 to 6 decimal places.\nAnswer: -0.005404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 367 = 17. What is the units digit of (-4)\/b + (-37851)\/(-88)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -66651, -64930, -63207, -61482?\n\"Answer: d**2 + 1718*d - 68370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3953856 and 18451328.\nAnswer: 55353984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009763219 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 27913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 146 = 78. Suppose -38*p + x = -22. Which is the nearest to -1?  (a) 3  (b) -2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36558913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*c - 1497 - 5613 = -113*c + 11610 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7585865091 to the power of 1\/4, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3220351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 354 and 152102.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of v**4\/12 - 5*v**3\/2 + 3*v**2 + 127*v. What is r(14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -x**3\/3 - x**2 + 3*x - 68. Let t(i) = i + 1. Let g be t(-4). What is y(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -171*m - 1966. Give c(-11).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 5*t - 2. Let g be 1 - -2 - (1 + -3). Let c be x(g). List the prime factors of (9\/(-6))\/(c\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 11:06 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) -2\/7  (b) -0.2  (c) 1  (d) -0.4  (e) -0.022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 44 - 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 58\/15  (b) 1.37  (c) 0.2275\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 587837.7 decades in months?\nAnswer: 70540524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 5) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -269, -263, -253, -239, -221, -199, -173?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5074584 by -5.\nAnswer: 5074584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = s - 5*o, 2*o + 0*o = 2*s + 6. Let c be -3 - (4 + s) - (72 - -1). Let f = c - -51. Which is smaller: f or -22?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 3*u - 17. Let t(c) = -5*c + 33. Let o(m) = 7*f(m) + 4*t(m). Let i be o(-6). Solve -i = 4*j - 3*k, 5*k - 2*k = -5*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 15*f**2 + 15*f + 33. Let w be u(17). Let s = -286 - w. Solve 2 = 2*i + 4*r, -s*i + r = -4*r + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76552313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-2\/5))\/((x*(x*x\/((x**(-6\/11)\/x)\/x))\/x)\/x))\/(x\/x**(-1))**(2\/21))\/(x**(-5)\/x*x**(-1\/2)*x**6\/x**(1\/12)) assuming x is positive.\nAnswer: x**(-3931\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28948193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 83 + 1 - (3684 - 3638).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/66339954 and -52\/77396613.\nAnswer: 464379678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m + 69. Let r be a(13). Solve 2*l = 4*q - 16, 0*q - 16 = -4*q - r*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 411309 divided by 1987\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18977.\nAnswer: 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.489 rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/16 and -9\/992.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*j - 16*j - 15*j)*(-2 + 4 - 3) - j + 3*j - 3*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 29245831 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -8. Find the second derivative of 22*b**2 + 1 - 2 + 3*b**3 + b + p*b**2 + 25*b**2 + 0*b wrt b.\nAnswer: 18*b + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 - -3)\/(1\/(-37)). Let i = 21 - z. Let j = i + 44. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 - 4*g + 4. Let a be f(-4). Let x = 0 + a. Suppose 4*z + h - 22 - 336 = 0, -x*z = -2*h - 352. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 417656 rounded to the nearest one thousand?\nAnswer: 418000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21610 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*q + 2*q = 130 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 568854, 568855, 568856, 568857?\nAnswer: 568858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/3136 and 53\/1169728.\nAnswer: 1169728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5*z - 7 - 3 + 7*z. Let p be o(8). Solve -l - f + 7 = 0, -p*f + 2*f + 8 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 14*q + 44. Let l be b(10). Suppose 5*t - 3268 = l*g, 0 = -5*t - g + 4*g + 3271. Calculate the greatest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 0*s - 2*x + 54 = 0, -s + 3*x - 3 = 0. Let a = 31 + s. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 3*i - 14. Solve 2*a - i = -2*w - 3*w, 5*w = -3*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -13. Let r be (-27)\/((-4)\/(u - 3)). Let y = r + 44. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.0940031\nAnswer: -0.4700155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/3 and 16\/16737 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 7:32 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -620 + 908. Let l = 297 - y. Calculate the remainder when l is divided by -3*4\/(-6)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h + 82. Let j be s(-15). Let b be (0 - 3\/6)*0. Let f = j + b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eggib. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2. Let a(q) = -505*q**2 + 3*q - 3. Let l(m) = 615579*m**2 - 3656*m + 3656. Let d(y) = -3656*a(y) - 3*l(y). Calculate i(d(o)).\nAnswer: 417698*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -3*r**3 + 33*r**2 + 27*r - 142. Let s be n(10). Calculate the highest common divisor of 321 and s.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, -19, 15, -3, 1 in decreasing order.\nAnswer: 15, 1, -3, -19, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -541*q**2 + 171*q - 347. What is o(2)?\nAnswer: -2169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 3)*(-2 + 1). Solve -j = 3*p + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 63823.\nAnswer: 127646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (18*2\/8*1)\/6. Let f = -143\/8 - -2701\/152. Which is the second smallest value?  (a) k  (b) -7  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 57031, -3\/2, -107?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 536 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.12  (b) 0.2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 152 = -38*m. What is the nearest to 2 in 1, m, -0.3, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/48)\/(2*65\/(-8))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 546344212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*s*t**5*x**2 - 15*s*t**4*x - 2*s*x**2 + 2*t*x**2 - 18*t*x - 8*t wrt t.\nAnswer: 120*s*t**3*x**2 - 180*s*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 + 21. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 109984*m - 109988*m - 2*w, 2*w - 7 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -503, 2230, 4 in descending order.\nAnswer: 2230, 4, -20, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 13393746, 26787494, 40181242?\n\"Answer: 13393748*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + w - 149 = 0, 0*w - 133 = -5*x + 3*w. What is the greatest common factor of 348 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46758*x**2 - 30049*x**2 + 46554*x**2 + 20904*x**2.\nAnswer: 84167*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 + -13 - -5)*2\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -4. Suppose -3*l = -4*v - 72, -2*l - 2*l - v + 115 = 0. What is the units digit of 2\/(-6) - l\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10244 + -113002\/11. Suppose 0 = -2*z - 20 - 38. Is a equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**3 - 2*x**2 + 3*x + 3. Suppose 1068*s = 1045*s + 46. Determine i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, 24, 373, 3\/8, 33?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 47520 - 35?\nAnswer: 47485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30556168 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9633.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -3*b - 2*u, -6*u = -u - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence no when two letters picked without replacement from godnqggodongoo?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28268 and 592.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 3*a + 3, -3 = -0*w - 3*w - 3*a. Let y be -3 - (-2 - w) - -7. Suppose 0 = 2*l + l + y. Let z(h) = -h**3 - h**2 + h - 2. Give z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -61 - -117. Calculate the remainder when u is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 9*n**3 + 6*n**2 + 4*n + 7. Let u be d(-5). Let q = 1671 + u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wbbbwwwbww. What is prob of picking 3 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 + 2311023?\nAnswer: 2311111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2285, -3078, -3871, -4664, -5457, -6250?\n\"Answer: -793*j - 1492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 14 + 9 + 6*t + 16 - 8. Let g be w(-6). Which is the smallest value?  (a) g  (b) 4  (c) -1  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6982534789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 - 14. Suppose 4*p + 5*y = 152, -p + 43 = -2*y + r. Let c = 53 - p. Solve c = 4*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (4671\/36 - -7) + 2\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67699260 a multiple of 4245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/6*52\/(-10). Let m(k) be the third derivative of -k**6\/120 + 13*k**5\/60 + k**4\/24 - 4*k**3\/3 + k**2. Is m(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 14*q**2 + 7*q + 16. Let g(c) = -c**3 + 21*c**2 - c + 35. Let t be g(21). List the prime factors of d(t).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/(-153))\/((-2)\/(-2)*-3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 229, 227, 223, 217, 209?\n\"Answer: -i**2 + i + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 5*n**2 + 3*n. Give z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 128 in increasing order.\nAnswer: 1, 5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 6, 1373*f - 1375*f = -5*j + 1221. What is the remainder when 499 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/(-10) - 2 - 31*22\/682. What is the third biggest value in -0.1, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2.3, -0.1, 4, 2\/343?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.6 - 14.4. Let y = 27.6 + a. Let l = -5 + 3. What is the second biggest value in y, l, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19124, -76355, -171724, -305219, -476828, -686539, -934340?\nAnswer: -1220219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*g**2 + 12*g**2 + 3 - 3*g + 3*g with respect to g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y + 15 = 3*l, -2*l - 17 = -y. Let u = 4 + y. Let p = -7 + u. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 674522 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.9 - -4.9. Let p = 427.6 - 427. What is the closest to -0.04 in -0.4, p, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 642.222726 to zero dps.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/sqrt(27) - (sqrt(19) + 3 + sqrt(19))*-6 - -1*sqrt(19)*-2*-4*-2)**2.\nAnswer: -132*sqrt(19) + 5215\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -175.34 + 175.15. Which is the second biggest value?  (a) 5  (b) 9\/22  (c) -1\/6  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 14. Solve 4*j = 30 - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 36*l**2. Let k be (-3)\/5 - 312\/(-120). Let o(t) = -t**2 + 10*t - 6. Let m be o(9). Let h(f) = -f + f - k*f + m*f. Determine b(h(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20021211 (base 3) to base 13.\nAnswer: -2119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6784303\/156 + -420684583\/9672. Let h = 7\/403 + i. Find the common denominator of h and 61\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -13058, -26109, -39154, -52193?\n\"Answer: 3*l**2 - 13060*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -132 - 1100?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 1:11 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -443 + 443. Suppose -2*i + x*i + s + 5 = 0, -5*i + 8 = -4*s. Solve -4*l + 0*l + 4*q = -i, -5*q = -3*l + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3*o. Let l(b) = b. Suppose -3 = 9*v - 84. What is v*l(z) + 2*u(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 1:42 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -6496*p - 1864393. Calculate z(-287).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2953, -11837, -26645, -47377, -74033, -106613?\n\"Answer: -2962*k**2 + 2*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -220597077*b**6 + 10224*b**2 - 6*b + 459 wrt b.\nAnswer: -26471649240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.8, -5, 4\/107, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (2 + sqrt(1008) + 0 - sqrt(1008)) + 1 + -4*2*sqrt(1008) + (sqrt(1008) - (sqrt(1008)*-2 + 0)) + sqrt(1008))**2.\nAnswer: 96*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2002*f**2 + 3*f - 2. Suppose -2*y + 2*v = 0, 4*y = -v - 6 - 4. Let o be u(y). What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 61, 202, 423, 718, 1081?\n\"Answer: -o**3 + 46*o**2 + 10*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 21 = -3*z, -2*z - 2*g - 66 = -62 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 19 + 4. Suppose 20 = -5*n, -4*n - 14 = -3*y + 2*y. Let o be 0 + (-2)\/y*3. Calculate the greatest common factor of q and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -2  (c) 34\/21  (d) -0.2  (e) 5\/6  (f) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2586476 to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 61 = 3*t - 329, -5*u + 308 = 3*t. Suppose t = -0*i + 3*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*(0 - (-74)\/(-3)). Let s = l - 48. What is the remainder when s is divided by 15 + -2 + 0 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/(-14))\/(-1 - -3). Let l = 92.1 + -82. Let b = l + -10. What is the third biggest value in h, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/2, -5\/2, 62, -10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 0.4  (c) -4\/7  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 0.56958?\nAnswer: 1.70874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 25?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7853470 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16.8 or -47258?\nAnswer: -47258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 480014 < -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -0.09  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = g + 3*l, 24 = -2*g + 4*l + 26 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of 0*m**2 - 29\/15*m**6 - 23\/3*m**3 + 0*m**5 + 1\/12*m**4 + 86*m + 0. Find the second derivative of x(s) wrt s.\nAnswer: -696*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-21))\/(1\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) -1.1  (c) -5  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g**2 - 4*g + 7. What is u(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -368, -527, -686, -845?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - i**2 + 2 - 29899*i**2 + 55358*i**2 - 28729*i**2 + (i**2 + 0*i**2 + 0*i**2)*(2 - 1 + 0) to v + y*i + s*i**2 and give s.\nAnswer: -3270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 76 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 431004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 + -17. Let y(v) = -2*v - 14. Calculate the remainder when l is divided by y(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 24 + 10 = -d, -13 = -2*d + f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, y: 1, l: 4, q: 3, i: 1}. Give prob of picking 1 n, 1 l, and 1 q.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 3*k + 5. Let x be y(-4). Suppose -2*z + z + 19 = -w, 4*z + w - x = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 710a?\nAnswer: -7112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from kaaakaaiaaagaka?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2463 - 2422. Calculate the remainder when 11561 is divided by c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 (base 15) in base 5?\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**14*(z\/(z*(z*z**(-1\/2))\/z))\/z)**(-1\/18) assuming z is positive.\nAnswer: z**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001100001 + -10000110?\nAnswer: -1011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - h)*(8 - 1 + 21) in the form w*h + t and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {c: 1, n: 3, e: 11, k: 5}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -3*t**3 + 6*t**2 - 4. Let f be n(2). Is (36\/f - -1) + 487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3207 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3626.505985 - 3643.506. Let z = -17 - b. What is z rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2. Let c(z) = 15*z**2 + 3*z + 3. Give c(x) + 12*p(x).\nAnswer: 3*x**2 + 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 391*x - 390*x - 5*f - 20 = 0, 0 = -16*x + f + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -366 = -20*t + 27*t + 3*k + 308 - 750, -1 = -2*t - 5*k for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -4*i + 2*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**0\/(f*f\/((f\/(f**(2\/5)*f))\/f)))\/(f**(-1\/6)\/(f**(-1)\/f)) assuming f is positive.\nAnswer: f**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9 + 67)*6\/(-8). Let x be -3 + 99 + 2 + 1. Let r = d + x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*n = -15272 + 41531, 5*n = m - 8741. Let y = m - 6052. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ueerkurm. What is prob of sequence rumk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 8*v**3 + 150*v**2 + 4*v + 738. Let h(a) = 17*a**3 + 297*a**2 + 9*a + 1476. Let t(i) = 9*f(i) - 4*h(i). Differentiate t(c) wrt c.\nAnswer: 12*c**2 + 324*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -356125, 0.4, 5, -0.05 in descending order.\nAnswer: 5, 0.4, -0.05, -356125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7816, 9973, 12130?\n\"Answer: 2157*u + 5659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7942549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 60, 48, 18, -36?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1240 divided by -5?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 10842, 10734, 10614, 10476, 10314, 10122?\n\"Answer: -m**3 - 101*m + 10944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -6 - 6 - (-1 + -126)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 128592756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 60*l**2 - 621*l - 18. Let f be t(16). Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -6, -24*w = -19*w - 3*u + 34. Sort w, 5, 3 in ascending order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 15 = 0, 3*r = 3*p - p + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1960447987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1956 + (-1)\/2*12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -5*p - 31. Calculate j(14).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 32928.08 + -32928. Which is the third smallest value?  (a) 12  (b) h  (c) 1\/54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 87217, 174436, 261655, 348874, 436093?\n\"Answer: 87219*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 687 a factor of 3819717252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 738835836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -9*w**2 - 5*w + 5. Let s(y) = 4*y**2 + 3*y - 3. Let c(h) = h**2 - 5*h - 27. Let i be c(8). Let q(f) = i*r(f) - 5*s(f). Let d(z) = 24*z. Give d(q(n)).\nAnswer: 168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 5*q. Let z(v) be the second derivative of -1\/4*v**4 + 0*v**3 + 0 - v + 0*v**2. What is z(x(l))?\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -c + 84. Suppose -4*z = -4*b + c + 23, -4*b + 44 = 3*z. Solve -2*n = -b + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114941*327.\nAnswer: 37585707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1252 is divided by 520.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(2 + -8)*1\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-48)*28)\/1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5)\/10)\/((-2)\/12). Suppose -2*a + 32 + 52 = 0. Suppose 0 = 2*f - n - 36, -x*n + a + 59 = 5*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 374760515 or 374760514?\nAnswer: 374760515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -840*u - 12268 - 8484 - 8228 = 540*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 484 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*l**2 - 2 + 2.\nAnswer: 47*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b\/((b**(1\/7)*b*b)\/b))))\/b**28*b*b*b*b**(7\/4)*b\/(b**(3\/8)\/b*b*b)*b*b assuming b is positive.\nAnswer: b**(-1219\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100010001101110 + 111?\nAnswer: 100010001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 154 + -41. Let h = -38 + c. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 4 + -2 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -524 - -5757\/11. Let o be (-4)\/(-176)*(-6 - (-3648)\/(-15)). Let k = n + o. What is the common denominator of 71\/14 and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3892 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1088 times -0.2?\nAnswer: 0.02176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/((-24)\/(-55)) + (-138)\/(-184) and 2 - ((-156)\/9 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 35  (b) -3  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 2. Let i(f) = -3*f + 5 - 1 + n*f - f**2. Let m = 7 + -10. Give i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -5*l - 3*q + 6, 0 = 2*q + 8. Solve -4*s + 3*s - 12 = -4*k, 0 = l*k + 3*s - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0  (b) -0.2734  (c) -4  (d) 0.4  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 5*v + 560. Let x = v - -88. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122.55173 rounded to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3061563 + -2059563. Round t to the nearest ten thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-16)\/(-10))\/(6\/270). Suppose -3*k + 4*h = -0*h - 164, -5*k + 258 = h. Suppose 4*f = -2*b + k, -4*f + 5*b = 2*b - l. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 6 = -0*o. Sort -3, 7, o.\nAnswer: -3, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*i**2*v**4 - 92210*i**2 + 1201507*v**5 - 18*v**2 wrt v.\nAnswer: 96*i**2*v + 72090420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 9*v - 7. Let c be w(-7). Let p(s) = -c - 7*s - 5 + 9 + 2*s**2 + 8*s. Give p(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -993280 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149 - 164 - 165 + 478 - 5653*l.\nAnswer: -5653*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*f**3*g**3 - 13594*f**3*g**2*l - 2671*f**2*l + 2*f*g**3*l + 221*g**3*l wrt f?\nAnswer: 198*g**3 - 81564*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/408051 and 151\/355572.\nAnswer: 135472932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(45) + 0)**2*3 - (2*sqrt(1000))\/sqrt(2).\nAnswer: -20*sqrt(5) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-1)\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1324*n**4 + 2437*n wrt n.\nAnswer: 15888*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 748242387 to the nearest integer?\nAnswer: 27354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8*-63*3\/(-6). Let t = u + -172. Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 842730267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186*k + 182*k = -20. Solve 3*g = p + 1 - 0, -5*p - k*g + 35 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 34 = 2*v, 2*v = -4*l - 3*v + 30. What is the least common multiple of l and (9\/5)\/((-6)\/(-20))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-93 - 1) + (40 - 31) + 12 + -11\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-5 + (-2 - -4) + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**8)**(-40)*(p*p**(-37)\/p*p)\/(p*p*p\/(p\/(p\/p**(-1\/2)))*p) assuming p is positive.\nAnswer: p**(479\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 d when three letters picked without replacement from nkndnnuknnkef?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/16)\/(5*27\/(-180)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**3 - 1899875*a**2\/7 - 465272*a + 1085636\/7 = 0. Calculate a.\nAnswer: -271409, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 393, 322, 251?\n\"Answer: -71*g + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23254987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 30eb (base 16) in base 8?\nAnswer: 30353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(((sqrt(68)*-3 + sqrt(68))*-6 - sqrt(68)) + 3))**2.\nAnswer: 132*sqrt(17) + 8237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2826.0474 and 5?\nAnswer: -14130.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}