{"text":"Question: Evaluate (27 - -1) + -574 + 547.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 14346*g**2 + 315135*g - 161. Give x(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -32*s + 36*s + 3*l, 4*s - 4 = -2*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (13 - (-2 - -16 - 5))) + (-2 - -20).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 512 + -481 + 12 + 21?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = 2*z - g - 18, 2 = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1260*p**3 - 447*p.\nAnswer: 7560*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29662159 is divided by 327.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -4. Let l = -43.3 - -36.3075. Let d = l - g. Round d to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 912 and 276564?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -48, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -34b - -168?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -560 divided by 10?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.16*-1.37\nAnswer: 0.2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 7*i = 70. Suppose 5*n + i = 7*n. Calculate the remainder when 20 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 15 = 6*f. Let r be 43\/f + 10\/15. Suppose b + 2*b = r. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 248, 0, -1764, 32 in increasing order.\nAnswer: -1764, 0, 32, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4086.5 and -0.09.\nAnswer: 4086.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4270080 divided by -6144.\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**2 + 136616*y + 4665982864 = 0.\nAnswer: -68308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -1\/7  (c) 5  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -0*w + 3*x - 18, -9 = 3*x. Let g be ((-24)\/10)\/(-4)*2*20\/8. What is the greatest common divisor of w and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -9*v + 5*v. Suppose -5*r - 2*j + 1995 = 0, 3*r + v*j = 5*r - 769. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 1, -9, 458, -1 in increasing order.\nAnswer: -9, -5, -4, -1, 1, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 318, 2, 165617.\nAnswer: 2, 318, 165617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u - 2. Let a(s) = -7*s - 10. Let x be a(-2). Let i(c) = -2*c + 5. Suppose v = -2*v + 12, 2*q + 5*v - 38 = 0. Give q*r(k) + x*i(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10 + 2 + 2 + -4. Let n be (-2 - 7)*(-3 + -1). Suppose -5*l - 5*q = -c, 0*l - 4*l = -3*q - n. Calculate the smallest common multiple of 9 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59838 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 j when four letters picked without replacement from fjjtttjjfttfftjtj.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*y + 20*y - 48 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of k**5\/30 + k**4\/4 - 10*k**3\/3 - 217*k**2. Factor x(l).\nAnswer: 2*(l - 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(68) + -3)**2 - sqrt(68) - (sqrt(833) + 2*sqrt(833) + -5).\nAnswer: -35*sqrt(17) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 252\/(-8) + (-2)\/(-4). Let p = -157 - -193. Let l = w + p. Which is smaller: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b1 + 34?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 2*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -2*r**3 + 6*r**2 - 4*r - 2. Let m(u) = 2*u**3 - 5*u**2 + 3*u + 1. Let q(i) = -4*m(i) - 3*w(i). Let j(h) = 4*h - 46. Let v be j(12). What is q(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -41*b**2 + 4*b + 10*b**2 - 5 + 20*b**2 + 10*b**2. Give c(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 241291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s + 22. Let m be c(-9). Suppose -a - m + 70 = 0. Is a 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 8619411?\nAnswer: 3, 23, 124919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4*b = -m + 41717, 5*m + 2*b = 208517. Suppose n = -63295 - m. What is n rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 - 9*k + 4. Let i be l(-9). Let d(g) = -g**2 + 10*g - 4. Let b be d(i). Let q = -2 + 10. Calculate the greatest common divisor of b and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*u**2 - 73*u**4 - 24*u + 25*u + 5*u**2 - 3*u**2 - 38*u wrt u?\nAnswer: -1752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + sqrt(363) - (sqrt(363) + 1)*-4)**2 + ((-1 + sqrt(363))*2 - ((sqrt(363) + 1 - sqrt(363)) + 0)**2) + 1.\nAnswer: 682*sqrt(3) + 9109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 19 - 7 + 161*a - 6 + 6 in the form u*a + w and give u.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -477d5 + 6?\nAnswer: -477cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1828 divided by -6?\nAnswer: -914\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-120*o + 7*o - 70*o - 3*o + 2*o + 2*o + (0 - 2 + 3)*(2*o + 0*o - o))*(2*o**2 + o - o)*(6*o + 30 - 30).\nAnswer: -2172*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 18*p**2 - p. List the prime factors of n(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.3247266 meters?\nAnswer: 324726600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 14*n**2 + 42*n + 239. Is m(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 75\/18 + 2\/(-12). Suppose -2*j + 3*k + 16 = 1, m*j - 4*k - 28 = 0. Solve -12 = 2*z - j*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/370 and -81\/856960?\nAnswer: 31707520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + -2. Let k be 2\/(-6)*f*3. What is the derivative of 9*w**k + 3 - 6*w**2 - 2 wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -10, 2633\/8, 0 in ascending order.\nAnswer: -10, 0, 0.4, 2633\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1753 = -6*h + 485. Let n = h + -25. List the prime factors of n.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -35*j**2. Let o(p) = 253*p**2 - 122*p**2 - 129*p**2. What is o(n(x))?\nAnswer: 2450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.161 + 0.28.\nAnswer: 0.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 0)\/(17\/(-51)) - 986. Let n = 97 - b. 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: What is the tens digit of 8318396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 182327, 364638, 546933, 729212?\nAnswer: 911475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of b**6\/45 + 169*b**5\/75 + 529*b**4\/90 + 64*b**3\/45 - 44*b**2\/5 - 3364*b. Let s(z) = 0. What is z?\nAnswer: -66, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 262339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*s + 93*s - 2075 = 625 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 724, 5 in decreasing order.\nAnswer: 724, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q - 6. Let d be p(6). Suppose -t = -d*t + 75. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 350*w**2 - 15*w**2 + 0 + 9 - 17.\nAnswer: 335*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + -10 + 4\/(-4). Let l be ((1 - (u - -2)) + 2)*1. What is the highest common factor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1868, -1916, -2068, -2384, -2924, -3748?\n\"Answer: -10*s**3 + 8*s**2 - 2*s - 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c. Let s(a) = 27*a**2. Calculate i(s(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/5, 4, 144, -0.6, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m. Let v(w) = 51942*w. Calculate y(v(u)).\nAnswer: 155826*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 65429364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 15183, 14333, 13471, 12591, 11687, 10753, 9783, 8771?\n\"Answer: -t**3 - 843*t + 16027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 - 20.9. Let s = -4.9 - -5. Is u at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u**2 - 2. Let g(b) = 1. Calculate -a(i) - 2*g(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 508*q - 411*q - 5*q**5 + 11*q**4 - 2*q**5 wrt q.\nAnswer: -140*q**3 + 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 10, h: 2, e: 7, r: 1}. Give prob of sequence er.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -8, 784921, -5, -2, 1, 4 in decreasing order.\nAnswer: 784921, 4, 1, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -75, -148, -265, -432, -655, -940, -1293?\n\"Answer: -b**3 - 16*b**2 - 18*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, n: 5}. What is prob of picking 3 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 7*o. Let w(v) be the first derivative of -7*v**3 - 3*v + 249. Give u(w(g)).\nAnswer: -147*g**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2*v - 8 - 6, -35 = -5*v - 3*x. Let n be (-80)\/(-14) + -3 + 23\/v. Let q(u) = -4 - 5 - u - u**3 + 4*u + 6*u**2. Give q(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 + 15 + 3*g**4 - 22*g + 13*g + 4*g + 3*g - 149*g**2 to w*g**2 + o*g**4 + d*g**3 + h*g + m and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -330 divided by -12\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*y - 1. Let a be ((-1)\/(-3))\/(y\/(-43)). Let k = 209\/15 + a. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81370.49ml to litres.\nAnswer: 81.37049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + 13*j**2 + 12*j - 12. Calculate c(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 694826 = 69*c - 47*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*u**3 + 142*u**3 - 21 + 21.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.014 and -56901.\nAnswer: -56900.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 67 - 3?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/15)\/(10\/200)*3\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 770617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*k**2 - 1550*k + 741*k + 776*k)*(-3*k + 0*k + k).\nAnswer: 12*k**3 + 66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (1 - 19) - -5 - (26 - 15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -16*p**2 - 175*p + 15. Let r be f(-11). Solve -s = -0*z - z, -3*s + 14 = r*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*p + 62 - 83 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 11 = -5. Let i = -4765 - -99721\/21. Let w = i + 50\/3. What is the nearest to w in 0.1, c, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -566*x**2 - 5*x + 5. Let z(w) = -34527*w**2 - 306*w + 306. Determine -306*s(h) + 5*z(h).\nAnswer: 561*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -146758082 divided by 5?\nAnswer: -146758082\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 201 + -201.00502. What is r rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/6*(-285)\/95.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19.95 - -20.25. What is the fourth smallest value in -1, y, -0.2, -13.9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 52 = 59. Solve 39 = -w*l - 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffw when three letters picked without replacement from {f: 11, w: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 4*g + 1436 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1929286468 to the power of 1\/2, to the nearest integer?\nAnswer: 43924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cfkpplk. Give prob of picking 1 p and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 549?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 86, 144, 216, 302, 402, 516?\n\"Answer: 7*j**2 + 37*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35.66 - 35.46. Let u = -12 - -12.7. Let j = u + -0.3. Is y at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -146\/15 - -52\/5. Let h = -6.3 - -6. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.58 + -112.22. Round n to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.5411609 rounded to two decimal places?\nAnswer: -4.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = 3*o - 2*a, 2*o - 2*a + 18 = -3*a. Let k = o + 18. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 1 - 1)*(3 - 4 + 0)*(-3 - 13*a**2 + 3) - a**3 - 3 + 3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 - -23. Let b = 6 + -4. Suppose r - b*r + 2 = 0. Solve -r = -v*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -1. Let j(p) = 2*p - 16. Let c(w) = f(w) - j(w). Let b(x) = -x + 8. Let u(i) = 11*b(i) - 6*c(i). What is the derivative of u(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, b: 2, j: 2, a: 2, i: 1}. What is prob of picking 1 j, 1 b, and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m - 23. Determine w(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 177*w**4 + 91 + 5*w**3 - 4*w**3 - 179*w**4 as q*w**4 + f + m*w + d*w**3 + c*w**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/94044 and 13\/153.\nAnswer: 282132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 746, 1062, 1386, 1718, 2058?\n\"Answer: 4*d**2 + 304*d + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 4*m**2 + 2*m - 6. Let i be c(-3). Let x be (7 - 6)*(-1 + 0). Put x, i, 3, 2 in decreasing order.\nAnswer: 3, 2, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 13*m - 13. Let v be 28\/6 - (-4)\/(-6). Let b be c(v). Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -4*z - 122. Let g be (-8)\/z + (-14)\/(-5). Solve p - g = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 82241*v**6 + 2*v**5 - v**4 - 11342216*v**2?\nAnswer: 9868920*v**3 + 120*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 5*c + 271, 75 + 296 = 4*u + 3*c. Calculate the remainder when u is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4\/6 + 71*k**3\/2 - 2538*k**2 + 75816*k - 816480.\nAnswer: -(k - 105)*(k - 36)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -7. Let f be (-3 - -1) + 0 + -3. What is the smallest value in f, d, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 4. Suppose -10 = -d - 7. Solve -13 = -g*o - 4*c, 4 = 5*o + d*c - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5058 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -249\/440 - 3\/88. Let y = -0.2 + -2.8. What is the third biggest value in l, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l - 22*l = 107. What is the remainder when l is divided by (-520)\/(14 + -22) + -10?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 91734 by -30578.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**2 + 4972*x + 9952 = 0?\nAnswer: -2, 2488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 2*a**2\/9 - 400934*a\/3 + 801860 = 0.\nAnswer: 6, 601395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 399, 1, 10, 2\/9, -5, -204 in increasing order.\nAnswer: -204, -5, 2\/9, 1, 10, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -9f0 (base 16) in base 10?\nAnswer: -2544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 5 = 70. Let y = 13\/77 + -5\/11. Which is the biggest value?  (a) 1.2  (b) -1\/4  (c) y  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.4 + 0.4. Let m = 0.13 - 0.1. Let u = -4.03 + m. What is the third smallest value in u, b, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*t**4 + t**2 - 6373*t**3 + 6373*t**3 + 17 in the form m + f*t + w*t**3 + l*t**4 + p*t**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54795?\nAnswer: 3, 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 649*q - 321*q - 324*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 841 divide 1684836055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (c**3 - 1 - 1 + 6*c**2 - 7*c**2)*(40 + 13*c - 40) as z*c**3 + u + j*c + q*c**2 + x*c**4 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13 - -1364.8448?\nAnswer: 1364.7148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 2*t - 3*t + 20, 4*t - 116 = -m. Suppose 2*n - t = z, 2*n - 4*z = -0*n + 22. What is the remainder when (n\/(-3))\/((-1)\/7) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1922\/759 in -3, 3, 2, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -0.1. Let b = -0.099 + 1.099. What is the third biggest value in t, b, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**5\/6 - 44*d**4\/3 + 655*d**3\/6 - 598*d**2\/3 - 170*d\/3 + 800\/3 = 0. What is d?\nAnswer: -1, 2, 5, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**5 - 10853*w**4\/3 + 3267651*w**3 + 7652679*w**2 - 22921840*w\/3 - 3276100 = 0.\nAnswer: -3, -1\/3, 1, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -113 - (63 + -123) - -17?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-77*h - 29*h**2 + 77*h)*(-6*h - 191*h - 107*h) as u*h**3 + v*h + c*h**2 + j and give u.\nAnswer: 8816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-4)*7)\/((-5)\/20). Are b and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2  (b) -345  (c) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 20*v**2 - 312*v + 180. Determine r(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.404 rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -275*n + 14 - 22 + 557*n - 31 - 284*n to the form s*n + x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pmp when three letters picked without replacement from {t: 7, n: 2, p: 4, y: 1, m: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1386 and 343366254.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3219*r - 2493. Let g(n) = 48*n + 1. Let o(f) = a(f) + g(f). What is the first derivative of o(d) wrt d?\nAnswer: -3171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 6*r**2 + 16*r + 7. Determine b(7).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28028, 0, 0.3, 12, 2\/7, -1.2 in descending order.\nAnswer: 28028, 12, 0.3, 2\/7, 0, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3722 = h - 2*i, -3*i = -3*h - 3726. Let o = h + 2299. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2*z - 32, z - 23 = 3*i + 41. Let j be (-1 + 2)*(-4)\/i. Which is the nearest to 2\/7?  (a) j  (b) 0  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**10*t*t**(1\/2)*(t*t**(-13))\/(t**11*t*t) assuming t is positive.\nAnswer: t**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 17*o + 20*o = -1097, 5*r - 1345 = -5*o. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-133)\/(-133))\/(2\/(-10)*-1). Suppose -r*o - 29 = -1469. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 2*w**7\/7 - 7*w**5\/5 - 23*w**4\/4 - 191*w**3\/3 - 3*w**2 + 2961. What is the third derivative of v(t) wrt t?\nAnswer: 240*t**3 - 168*t - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 7*m**2 + 40*m + 28. Let s be b(-5). Suppose 4*t - 2*t - 12 = -4*u, -5*t - s*u = -16. Factor -2\/13*z + 0 + 2\/13*z**t.\nAnswer: 2*z*(z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -38 + 38 - 12*c + (-c + 0*c + 2*c)*(2 - 3 + 3) - c + 0*c - 2*c in the form z*c + a and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -1, 4, -8\/33, -0.1, 2\/7?\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 - 2*t + 2. What is j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 184133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 683809 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 4 - (-14 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4218 - 7*a + 4310 - 12830 + 4304.\nAnswer: -7*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -3\/8, 0.19, 54\/7, 3 in descending order.\nAnswer: 54\/7, 3, 0.19, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 14*j. Let w(n) = 9*n. Determine 7*w(u) - 5*z(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -4*s - 1. Let j be p(-1). Let y(f) = 6*f**2 - f**j + 3 - 6*f - 3. What are the prime factors of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -120*c**3*l**2 + 12*c**3 + 2*c**2 + c*l**2 - 43629*c - 247275*l**2 wrt l?\nAnswer: -240*c**3*l + 2*c*l - 494550*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -g + 6*g + 450, -2*w - 10 = 0. Let x = -60 - g. Calculate the remainder when 51 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 418 + -335. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hnf when three letters picked without replacement from gfaankh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = 5007*c - 5010*c + 71, -4*c + 7*t = c - 3*c - 19 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 + 13*t + 1072. Give i(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1010111101110?\nAnswer: 1010111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*z**3 + 308665*z**2 - 1110757*z wrt z.\nAnswer: 12*z + 617330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -k**4\/12 + 7*k**3\/6 - 23*k. Let h be c(7). Suppose h = -4*s + 7 + 1. Solve -t + 5*t - 4 = s*u, 0 = -5*t + 5*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77*900\/(-1890)*(-6)\/10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -5, 2, 4, -3, -54, -1 in ascending order.\nAnswer: -54, -5, -3, -1, 2, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 3*i + i. Let l = -3 - i. Let p be 1\/((-1)\/(-5) + 0). Solve -l*k + 2 = 2*y - 0*k, -2*y = p*k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*x**3 + 92 - 186 + 96.\nAnswer: 10*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*r + 786 = 6*t + 513, -t - 77 = -5*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 735143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -5*i**4\/4 + 296*i - 221. Find the first derivative of k(j) wrt j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 1077991*v**2 + 12 + 14.\nAnswer: 1077991*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 0*u + 3*k - 7 = 0, 0 = -5*u + 4*k. What is the remainder when 27 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*k + 68 = 8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 24 = -4*a + 17, -3*a + 3*f = -27. Suppose y - 3 = 4*y + p, 4*y + 5*p + 15 = 0. Solve -g - a*g = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 47.\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.05, -0.204, -144, 3, -54?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115, 807, 1949, 3547, 5607, 8135?\nAnswer: 11137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -224\/45 - -26\/5. Suppose 4*l = s - 1, 3*s - 12 - 5 = -2*l. Suppose 5*j + 10 = 4*i - 10, 4*j - i = -s. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2898305743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 26576, 26538, 26480, 26402?\n\"Answer: -10*h**2 - 8*h + 26594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 - 47 + 32*o - 34 + 17.\nAnswer: -4*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u - 32. Let q be o(13). Let l be q*(2 + 118\/(-58)). Is l greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*(-6)\/9*84\/28.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -25 - (-6 - (-11 - (-5 + 8))) - 14\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 3*v - 94 - 38 = 0, -99 = -3*c + 2*v. Calculate the remainder when 2174 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 4*n**2 - 8*n + 2. Let k be f(-5). Let z = k - 12. Suppose z*t + 4*w - 3*w - 49 = 0, 0 = -4*t + 4*w + 44. Solve 5 + t = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {e: 1, f: 1, t: 2, g: 2, u: 2, o: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -54 - -109. Suppose -2*t = 4*a - 31 - w, 2*a = -5*t + 63. What is the highest common factor of a and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (3 - 3) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4919, 5, -6.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -32*m - 568. Let v be q(-18). Suppose 20 = 2*y + n, 5*y + n = -4*n + 40. Solve 4*u - y + v = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -9\/2, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28 + 45. Suppose -39 = -42*v + 41*v - 2*b, 5*v = -b + 69. What is the remainder when a is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 720737579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 38*l**2 + 73*l + 318. What are the prime factors of x(37)?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.31 - -0.19. What is the smallest value in 1\/3, v, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/1979, -10\/23, 0, 4 in ascending order.\nAnswer: -10\/23, -2\/1979, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/((-559)\/(-52)) - (-1)\/((-63)\/249)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + h = -2*c - 4, 9 = 14*c + 5*h. Let t be (-2)\/5 + 8\/(-5). Put t, 2, c, 3 in decreasing order.\nAnswer: 3, 2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 0.5  (c) -196.417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - 0.3. Let q be (-6)\/(-21)*-2 - 616\/980. Let p(v) = -v - 1. Let h be p(-6). Sort q, h, l.\nAnswer: q, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/25)\/(((-6)\/(-3))\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8\/5 or -1398.86?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 23 = 5*h - 4*w, 5*h + 5*w = -5. Let y be ((-20)\/h - 0)*(-5 + -10). Calculate the highest common factor of 60 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 + (-58 + -15 + -13 - -7).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 60031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + 9*u**2 + 11*u - 1. Let t be l(10). Let v = -4 + t. What is the greatest common factor of 20 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.82*-2367.4\nAnswer: -9043.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*n**5 + 6*n**2 - 5*n**2 - 3*n**2 wrt n?\nAnswer: -480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13125717 (base 8) to base 15.\nAnswer: 3cc662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 49 = -5*i, -i + 2*q = -34 + 17 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**4 + w**3 - 11*w**2 + 5*w. Let d(f) = 3*f**3 + 10*f - 2*f**4 + 26*f**2 - f**4 - 49*f**2. Let c(n) = 6*d(n) - 13*i(n). Let c(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299*b**2 - 195 + 195 + 31*b**2.\nAnswer: 330*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b**2. Let i(u) = -11336*u**2 + 455*u. Let m(r) = 149*r**2 - 6*r. Let s(k) = -6*i(k) - 455*m(k). What is s(x(l))?\nAnswer: 1989*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3 + 212*v**2 + 1756*v + 1548.\nAnswer: 4*(v + 1)*(v + 9)*(v + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b + 18. Determine k(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 793205 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*f = 8, 3*f + 21 = i + 2*i. Let t be 15\/i - (-2)\/(-3). Let a be -4 + (0 - (t + 0)). Sort -1, a, 3 in decreasing order.\nAnswer: 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 45. Suppose -4*d - 2*b + 2 = 0, -4*d + 2*b = -0*b + 2. Let n be p(d). Let q = 112 - n. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*p = 2. Are -1 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - g = -10. Let p be 7\/(-14)*24\/g. Suppose -p - 2 = -4*u. Solve -h = -u*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 958188457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -149 - -307. Let c(z) = -132*z - 2 + g*z + 2. Let t(o) = -3*o. Give c(t(k)).\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 93903888851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1655000 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - k - k)*(3152 + 2895 - 6348)*(k - 4*k + 4*k).\nAnswer: -602*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 + 38\/(-4))*4\/6. What is the nearest to -3\/4 in s, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0131478 and -0.1.\nAnswer: 0.00131478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -35555 (base 8) in base 3?\nAnswer: -202212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(1900)*3)**2.\nAnswer: 615600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -6. Suppose -3*o + 91 = z, -9*o + 99 = z - t*o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 733 = 2*x + 743, 0 = 3*k - 13*x + 53 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 658962163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4685*x = -327117 + 795617 for x.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/1862 - -28394\/2793. Let h(t) = 7*t**3 - 8*t**2 - 5*t - 4. Let s be h(-4). Let u = s + 5671\/10. Calculate the common denominator of k and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**2 + 187863384*d = 0. Calculate d.\nAnswer: 0, 46965846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 + 215*f - 8912. Calculate q(56).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -827*q**2 - 818*q**2 + 1643*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 15*w + 41. Let f(m) = -21 - 4 + 5 - 6*m. Let k(r) = 3*c(r) + 7*f(r). Calculate k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o**3 + o**2 + 3*o - 3. Let j be q(5). Suppose -2*b - m = 536, 4*b + m + 509 = -561. Let p = j + b. List the prime factors of p.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11, -1, -0.18, 38?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -360, -716, -1086, -1476, -1892, -2340, -2826?\n\"Answer: -i**3 - i**2 - 346*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of v**5\/100 + 59*v**4\/40 + 29*v**3\/5 + 98*v**2 - 2*v. What is a in d(a) = 0?\nAnswer: -58, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrjjjrjrr. Give prob of picking 1 r and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38283*u + 4 - 9580*u - 5.\nAnswer: 28703*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/143 and -17\/9?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/23?  (a) 0.2  (b) 2  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**3 + 3*q**3 + q**3)*(-67 + 32 - 4529*q + 22 + 15).\nAnswer: -4529*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 112 + -118. Let h be 731\/a + (-15)\/(-18). Sort h, -3\/2, -5 in ascending order.\nAnswer: h, -5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 0 + sqrt(5324) + sqrt(5324).\nAnswer: 3 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 15*j + 17*j + 5*j**2 + 9*j - 41*j. Let z(c) be the third derivative of -3*c**2 + 0*c**3 + 0*c - 1\/24*c**4 + 0. Give z(q(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1206.8195 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(560)*-1 - (sqrt(350) - sqrt(350)*-2)\/sqrt(10))\/(sqrt(25)\/(sqrt(10)\/(sqrt(2)*2))))**2.\nAnswer: 343\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + 1698?\nAnswer: 169d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 34*b**2 + 141*b - 76. Let c be d(-28). What is the highest common factor of c and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 4*g - 2. Let r = -11 - 12. Let z be 10\/(-25) + r\/5. What is y(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**4\/3 + 247*i**3 - 3683*i**2\/3 + 733*i + 2208 = 0?\nAnswer: -1, 3, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 z when three letters picked without replacement from zzzp?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2018011 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 662.4 and -6967075353?\nAnswer: 6967076015.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvwwvwwvfvw. Give prob of picking 3 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 4. Let v be x(-6). Find the second derivative of 2*c**v + 2*c**2 + 0*c + 0*c**2 - c wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1068 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 70 = 4*u, 2*r + 3*r = -u + 139. Let l be (r\/(-14))\/(30\/(-35)). Determine y so that -l*y**2 - 27\/4*y - 1\/4*y**3 - 27\/4 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16677 = 9*u - 18*u. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15\/26, -11881, 3, -1 in decreasing order.\nAnswer: 3, 15\/26, -1, -11881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 9689296, 1, -0.05 in increasing order.\nAnswer: -0.05, 1, 9689296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.038?  (a) -4\/5  (b) 2\/9  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 12546 - 12560 = 3*j, 20*j = 10*j - r - 53 - 6 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4032*g**2*m - 2*g**2 + 146047*m wrt g.\nAnswer: -8064*g*m - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 16 = -4*r + 6*l, 2*r + 3 = l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((2 + -4 - 65\/(-26))\/(3\/66))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**3. Let z be s(-1). Let p(v) = 7*v**3 + 7*v**2 - 5*v - 2. Let j(n) = -n**3 - n**2 + 1. Let m(k) = 6*j(k) + p(k). Is m(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1498285659.\nAnswer: 3, 13, 37, 383, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 324931770 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2 = z - 13, -z + 1 = 0. Solve -t*w = 8 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 + 18*n + 880. Give d(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -2*n + 345, -10*n = -10*n - 4*r + 36. Let s be ((-8)\/70)\/((-4)\/10). Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 45\/907?\nAnswer: 45\/907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g**2 - 4*g**2 + 6*g**2 + (-5*g**2 + 11 - 11)*(30 - 16 + 11) - g + g**2 + g to the form m + c*g + r*g**2 and give r.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6543818353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/6 and 2\/20*-41 + 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 66, 32\/27, -5, -3\/106?\nAnswer: 32\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 360 divide 41022000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sswxsww. Give prob of sequence sx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.855309 to three decimal places.\nAnswer: 0.855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/495 and -37\/1080.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d - 4. Let r be w(-8). Solve -2*g - 3*g = 5, 3*g = 3*v - r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 116390755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 9:10 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -138576, -138585, -138606, -138645, -138708, -138801?\nAnswer: -138930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 3 - 2)*(8 + 0 - 4) + 0 - 4 + 2)*(1 + 1 - 4)*(0*o + 3*o - 5*o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -167*m + 31 - 13 - 18.\nAnswer: -167*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2663 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 - 10. What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus 4583.13839?\nAnswer: 4583.03839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -537*a*i**5 + 111*a*i**2 - 3624*a - 115*i**6 wrt i.\nAnswer: -32220*a*i**2 - 13800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**2 - 22475232*h + 63142006681728 = 0?\nAnswer: 5618808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 74043187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 j, and 1 f when three letters picked without replacement from jcjddftfjjjfccjcj?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + -5 - 5\/(-6 + 11). Let z be ((-136)\/6)\/((-1)\/i*-4). Let h be -51*(-1 - 0)\/1. What is the greatest common divisor of h and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5477 - 3594. Let w = -11.2818 + -1871.7989. Let o = i + w. Round o to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -147*y**3 - 583380*y**2 - 333324*y - 47616.\nAnswer: -3*(y + 3968)*(7*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 674247133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 13 + -1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -35 - ((-1)\/5)\/((-89)\/(-4450))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 5*g + 412, 5*g + 261 = -2*l + 1010. Suppose -l = -4*h + 213. Suppose 2*b - 3*w = -w + 90, 4*b - h = -2*w. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) -1  (c) -0.24  (d) -0.1639\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - q - 5. Let b be z(7). Let j = b + -16. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 17*h + 610. Calculate p(-10).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as -7\/246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*k**3 - 160195*k**2 - k - 36382 wrt k.\nAnswer: -102*k - 320390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1587410397 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**2 + 97*y + 277. What is x(-14)?\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 9:33 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80828 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, r: 2, m: 4, j: 2, k: 2}. Give prob of picking 1 z, 1 j, and 2 m.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.032?  (a) 2\/13  (b) -2\/21  (c) 27  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/7  (b) -132  (c) -7.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + m**3 + 121 - 62 + 3397*m**2 - 3397*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2263 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-4*(-3*sqrt(242) + sqrt(242) + 1 - (0 + (sqrt(6)\/sqrt(3)*5 - (-1*sqrt(200) + sqrt(2)))))**2 + 0.\nAnswer: -62232 + 1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/20)\/(3\/(-12)))\/((-1188)\/(-360))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 0, -4957, 2 in descending order.\nAnswer: 2, 0, -2, -4, -4957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 210 + -32. Is t a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 3*n + 3 = -4*n, n + 3 = 3*y. Suppose 8 = 2*o - y. Let j be (-4)\/10 - 6\/(-40). Which is the third biggest value?  (a) 1\/7  (b) o  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 479685*j**2*n**3 - 4*j*n**3 + 58*j + 53*n**2 + n + 3 wrt j.\nAnswer: 959370*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 - (-3 + 4 + 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.2 and -1\/7740372 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -68 - -68.043. Round a to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 4*u - 30 = 2*v, 5*v = -4*u - 5. What is the second biggest value in 54, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16329.681 months to decades.\nAnswer: 136.080675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -303 - 1213030212?\nAnswer: -1213031121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42*r**5 + 321878*r**4*s**2 - 21*r**2*s - 210*r*s**2 + 1467 wrt r?\nAnswer: -2520*r**2 + 7725072*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z - 18 + 18 = 0. Solve 2*p - 4 + 12 = z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 340 = 686. Let u = i + -99. Solve 7*d = 2*d + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i - i - 4*i)*(5 - 2 - 1)*(-5 + 1 - 2).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6023 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + i = 4*i - 45, j - i = 21. Let s be j\/12*(2 - 0). Suppose -4*g + s = c - 0, 2*g - 12 = -2*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = 4*m + 20, -3*y - 2*m + 0*m - 14 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 704\/17  (b) 0.6  (c) 0.2  (d) -3\/4  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 472.4 - 472. What is the closest to x in 0.1, 6, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.1, 5, 1\/2, 3\/7, 26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -32, -62, -110, -182, -284, -422, -602?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 600\/41500*83*14*(-1)\/(-6)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -337, -352, -367, -382, -397?\n\"Answer: -15*h - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -834, -3441, -7790, -13881, -21714?\n\"Answer: -871*h**2 + 6*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.072506 to 3 dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/16*2\/(-3). Let k = 90944 - 90945. Sort 0.2, v, k in increasing order.\nAnswer: k, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 10) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 109045 (base 11) to base 3.\nAnswer: 22210102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 187898.9, 0, 13\/3 in decreasing order.\nAnswer: 187898.9, 13\/3, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-44)\/110)\/(28\/(-10))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1))**(2\/37)\/(t*t**1)**(-2\/17)*(((t*t*(t\/(t\/(t\/t**2))*t*t)\/t)\/t)\/((t**(-4)*t)\/t))\/(t*t*t**(-1))**(-7\/2) assuming t is positive.\nAnswer: t**(10921\/1258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*a - 25 - 22*a - 1 + 6*a in the form y*a + i and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11.82 + 0.18. Let u = o - 16. Let x = u + 3.9. Which is the nearest to x?  (a) -1\/3  (b) 2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 8*i + 4. Let p be x(-7). Let z be p\/(-3*3\/15). Calculate the highest common factor of 2 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from delgeegjellggle. What is prob of sequence gege?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + q + 16, f - 5*q = -2*f + 20. Let h be 2 - f\/(10\/(-4)). Suppose -119 + 695 = h*z + 5*x, -2*z + 302 = -x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2785, -2773, -2761, -2749, -2737, -2725?\n\"Answer: 12*s - 2797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6816 - -6816. Put -5, 0.2, 4, d, 20 in increasing order.\nAnswer: -5, d, 0.2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*x + 54*x + 33*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-45))\/((-8)\/5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 36246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (973\/(-980) - -1)*928\/88 and -77\/4?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -5*u + 6. Let n be o(7). Let j = -19 - n. What is the greatest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 170*i**2 + 3813*i - 210. Give t(20).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1299 rounded to 3 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 960 and 896?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 287 + -287. Let i be 25\/5 + o + (3 - 5). Solve -16 = i*u - 7*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 560\/(-42)*(-108)\/90.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 885*w - 885*w - 3*w**3 + 12*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 37\/4 of a tonne?\nAnswer: 9250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c**2\/4 - 845*c - 3375\/4 = 0.\nAnswer: -675, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/12 and 73\/306024?\nAnswer: 306024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 18\/(-63) - 1*1434\/(-21). Let a = o - 65. Suppose -q + a*f + 3 = f, -2*q - 2*f = -6. Which is greater: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5355876 to the power of 1\/2, to the nearest integer?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 210730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k. Let h = 7 + -5. Let l(g) = -2*g - 2*g - 2*g + h*g. Give x(l(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - 2*p)*(3*p - 3*p + p) - 827*p**2 + 4480 - 4480 + 4*p**2 - 3*p**2 + p**2 in the form j + s*p**2 + w*p and give s.\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -9.7, 1\/12, -3 in descending order.\nAnswer: 4, 1\/12, -3, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3062147 divided by 278377?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -8. Let x(b) = -v*b + 7*b**2 - b**3 + 52 - 102 + 2*b**3 + 60. Give x(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 10, -21, -2.\nAnswer: -21, -2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 29*t - 5622. Give c(194).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.72 - -33.28. Let n = -18 + a. Let f = -1642 + 1642. Is f bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/25*(5 - (-850)\/(-153)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 4*s**2 + 4*s - 1. Let f be i(3). Suppose -u - 3 = f. Let z = 277\/3 - 92. Which is the second biggest value?  (a) 3  (b) u  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**2\/7 + 25684*f\/7 + 32187192\/7.\nAnswer: 4*(f + 1707)*(f + 4714)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*n - 5*z + 8, -5*n + z = -21. Let g(h) = n*h - h - 3*h - 2*h**2. Let c(q) = -4*q. What is g(c(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 1) + 3 + -10 + (18 - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 644576 by 4.\nAnswer: 161144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a649 + -119?\nAnswer: 2a530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -r + 12. Let q be (-10)\/r*(-7)\/35. Which is the closest to 0?  (a) -13  (b) 0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1035 is divided by 86.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*g - 17492 = -16221 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*f - 12 = 28*f - 5*j, 3*f = j + 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 73 - 39. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -165 - -252. Suppose b = 5*p + 2*i + 35, -4*i = 2*p - 24. What is the greatest common factor of 110 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*c**2 - 81*c**2 + 111*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82, -330, -538, -688, -762, -742, -610, -348?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of -145*m**7\/42 - 14*m**3 - 148*m. What is the second derivative of p(r) wrt r?\nAnswer: -2900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310.7713721 minus -0.21?\nAnswer: 310.9813721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -516401?\nAnswer: 516406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*i = -34*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**6\/120 - o**5\/15 + o**4\/3 + o**3\/2 + 19*o**2. What is y(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 104399 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = 3*y - 12. Suppose 0 = -6*i + 2*i + 164. Suppose -3 = -4*m + 4*w + i, w + 27 = 2*m. What is the greatest common factor of m and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34759\/50 - 694. Calculate the common denominator of q and -37\/9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from ajmjjamnzrjja.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2417037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 86 = -29. Suppose -7*k = -12*k + w. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 284\/5 - 57. Sort 2\/9, -4\/3, -2\/7, x in increasing order.\nAnswer: -4\/3, -2\/7, x, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1532 + -4666\/3. Let n = -23 - w. Let k = -24 - -23.4. What is the closest to -0.1 in n, 4, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lhrlwrlpprplllpphhf. Give prob of picking 1 p and 1 l.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-11\/5)\/(k*k**(2\/9)))**(1\/33) assuming k is positive.\nAnswer: k**(-14\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -192 + -3?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 344865678 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -2, 1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p**3 + 6*p**3 - 4*p**3 + (39*p**3 - 6*p + 6*p)*(1 - 2 - 1).\nAnswer: -79*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 13. Let q(k) be the second derivative of k**4\/12 - 2*k**3\/3 + k**2 - 12*k. What is q(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + -c9?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 97090 a multiple of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -229372.96 rounded to the nearest one hundred?\nAnswer: -229400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -115 in 1\/3, -2\/9, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25\/10*2)\/((-125)\/(-5))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -450456894 - -14891.\nAnswer: -450442003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2765, 5555, 8345, 11135, 13925?\nAnswer: 16715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -10, 41394, -2 in descending order.\nAnswer: 41394, 5, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**4 - 76*d**3 + 196*d**2 + 636*d + 360.\nAnswer: 4*(d - 15)*(d - 6)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 2456\/2472) + 7 + (-52)\/((-16)\/(-4))\nAnswer: 2\/309","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228 is divided by 139?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2798*g**3 + 3*g - 5629*g**3 - 3*g + 2830*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of 88*p**3\/3 + 7*p**2 - p - 68. Let g be q(-2). Calculate the greatest common factor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5 + sqrt(32) + sqrt(200))**2 - ((sqrt(56)\/(sqrt(7) + sqrt(7) + sqrt(343) - sqrt(7)))\/(sqrt(4)*-1*-4))**2.\nAnswer: -560*sqrt(2) + 854015\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 5*i**2 - 26. Let p(u) = -17*u**2 + u + 80. Calculate -2*p(k) - 7*q(k).\nAnswer: -k**2 - 2*k + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z - 219. Let m(r) = -2*r**2 + r**2 + 4*r**2 - r**2 - 3*r**2. Give x(m(j)).\nAnswer: j**2 - 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*c + 37 = 7*f, -17 = -f - 3*c. Let z(q) be the third derivative of 0*q - 1\/120*q**6 - 2\/3*q**3 + 0 + 6*q**2 + 1\/15*q**5 + 5\/24*q**4. Give z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1298?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1564, 1579, 1604, 1639, 1684?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y*y**(1\/5))\/(y\/y**(1\/6)*y)*y\/(y**4\/y*y)*y**(-4))\/(((y*y\/y**(1\/5))\/(y\/y**(-1\/2)))\/(y\/(y**(1\/3)*y))**33) assuming y is positive.\nAnswer: y**(-269\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s + 12. Let d be q(-6). Is d at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + -14. Let u be (6\/(-14))\/(-4*(-24)\/(-64)). Which is the closest to 1?  (a) -5  (b) u  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5421573 to the power of 1\/2, to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/23818514 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -87*t**2 - 12*t - 9. Let v(i) = 43*i**2 + 6*i + 4. Let h(j) = 4*u(j) + 9*v(j). Suppose h(n) = 0. What is n?\nAnswer: -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3428?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yydyyddyddyd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**6\/g))\/g)\/((g**(-1)\/g)\/g*g)*((g\/(g\/g**3))\/g)**(2\/7) assuming g is positive.\nAnswer: g**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -3*b**3 + 3*b**2 + 12*b - 28. Let v(f) = f**3 - f**2 - 4*f + 9. Let c(z) = -2*h(z) - 7*v(z). Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-441 - -402 - (1 + -95)) + 0 + -6.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 11 = -0*z. Suppose 0 = -80*x + 39 - 119. What are the prime factors of -4*(1 - z)*x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 87924, 87923, 87922, 87921?\n\"Answer: -m + 87925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**2 - v**2 + v**2 + (2 - 4 + 1)*(-2 + 2*v**2 - 3*v + 2).\nAnswer: -4*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 3 = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 3) + 4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(((j**(-3)\/j)\/j)\/j*j)*j*(j\/j**(-1\/23))\/j*(j\/(j\/((j\/(j**(4\/9)\/j))\/j*j)))\/(j\/j**(2\/15)))**1 assuming j is positive.\nAnswer: j**(8003\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 - -10110?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**2 + 3*l + 0 - 5*l**4 + 1 + 0*l - 1 - l**3 to v*l**2 + p + h*l**3 + a*l**4 + y*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 8*q + 6. Let n(c) be the second derivative of c**3\/6 + c**2\/2 + 9*c. Suppose f + 7 = 3. What is f*n(t) + a(t)?\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 425 or 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-188)\/(-8) + 2\/(-4). Suppose 4*j - 40 = -3*b, j - v - 26 = -4*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 2*r + 2*r. Solve 15 = 3*d - 4*k, r*k = -2*d + 4*k + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(-56))\/((-3)\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b - 1. Let y be d(-5). Suppose 0*c = y*c - 40. Let m be 13\/(-6) - c\/(-15). Is -3 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 285 divided by 57\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16003\/39 - 2\/6?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k - 2. Let u be v(-2). Suppose -3*f = -u*f - 2. Sort f, -2, -1.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 21) + (-85 - -153) + -93?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 116, 237, -1 in decreasing order.\nAnswer: 237, 116, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*p + 33*p + 40*p + 35*p - 174*p + 27*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l + 4*l - l)*(-3 + 2 - 2)*(-6*l + l + l)*(-4 + 1 + 4) to the form d*l + v + x*l**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37545922 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*s - 150 = 76*s. Find the second derivative of s*w**4 - 22*w**4 + w**2 - 53*w + 4*w**4 wrt w.\nAnswer: -36*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277754287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -1\/12*t**4 - 7*t**2 + 0 + 5*t**3 - 14*t. Let m be w(24). Calculate the highest common factor of m and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (0 + 2)) + 4 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of 0*z + 107\/6*z**6 + 0*z**5 + 0*z**3 + 0*z**4 + 87 - 22*z**2. Find the second derivative of j(n) wrt n.\nAnswer: 2140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*27\/(-30)*(-6)\/(-18)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-71 - (-77 - -5)) + -37.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 217083*p**3\/5 - 884472*p**2\/5 + 12972*p - 240 = 0.\nAnswer: 10\/269, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1880887090.\nAnswer: 2, 5, 188088709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*v - 82*v + 50 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -115 - -198. Suppose 1 - 5 = -z, 4*z + q = d. Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 50*g**2 - 1936*g**3 - 14*g**2 + 1934*g**3 + (0 + 1 - 2)*(4*g**3 - 3*g**3 + g**3).\nAnswer: -4*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89847416 + -89847492.000107. Let x = 150 + -74. Let d = x + i. Round d to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4.3086, 1 in ascending order.\nAnswer: -4.3086, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 0. Let k be (-9 + -1)*(-20)\/(-40). Which is the closest to 3?  (a) 1  (b) k  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15291, 30576, 45863, 61152, 76443, 91736, 107031?\nAnswer: 122328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 33\/28  (b) -1  (c) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34 + 12 + 9 + 2*f**2)*(-5*f - 2*f + 5*f).\nAnswer: -4*f**3 - 110*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 12*s**2 - 17*s + 4. Let z(v) = -v - 1. Let n(u) = p(u) - 4*z(u). Let w(i) = -6*i**2 + 6*i - 4. Determine 6*n(q) + 13*w(q).\nAnswer: -6*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuqfuufqffuuvufuf. Give prob of sequence fu.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/2 + -6 + 17. Suppose -4 = -4*h - 4*l, -2*h + l + z = -8. Suppose -h*w + 627 - 165 = 0. What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away 126928153922.87?\nAnswer: -126928153918.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/2*(-44)\/385.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 3*l + 17. Let y be 38\/57 - (2\/3)\/1. Let s be p(y). Solve -19 = m - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6791\/20 > -340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 170 and 166585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**6\/10 + u**5\/60 - u**3\/6 - 7*u**2\/2 + 13. Let l(b) be the second derivative of s(b). Suppose -3*v = 3 - 6. Determine l(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -0*o - o - 27, 12 = -44*d + 27*d + 20*d for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 707 + -323. Calculate the greatest common factor of 36 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-80*r - 149 + 149)*(4 + 0 - 3) - 3*r + 4*r - 3*r - 11*r + 5 - 5)*(-1 + 2 + 0)*(2 + 1 + 2)*(1 - 1 + 2).\nAnswer: -930*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, v: 4, k: 4, c: 1, e: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 74 + -49. Let z = 10 + v. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1708 divided by -4\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 2.2. Let r = 4.2 + m. Let k = 48903 + -48903.03. Which is the nearest to k?  (a) r  (b) 0  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -136*s**4 + 5*s**3 + 55*s**2 + 3*s + 2 wrt s?\nAnswer: -3264*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 919879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*n**4 + 51*n**3 + 171*n**2 + 117*n + 15 = 0. What is n?\nAnswer: -1, -1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dadadataddd. What is prob of sequence ttta?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-232505)\/3575 + 65)\/((-20)\/55)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 3:50 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 + -0.014?\nAnswer: 56.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 138, -59, -258, -459?\n\"Answer: -h**2 - 194*h + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 14*l**3 - 13*l**2 + 28*l - 111. Let y(d) = -5*d**3 + 6*d**2 - 9*d + 38. Let s(h) = 4*p(h) + 11*y(h). Determine s(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 0*m + m**2 - 3\/8*m**4 + m**3 + 1\/60*m**5 + 0. Let u be k(9). What is the greatest common factor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 8*w - 43. Let v(t) = 21*t - 125. Let l(a) = -8*o(a) + 3*v(a). Determine l(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 446 = -s, -s + 239 = 2*h + 19. Suppose 18*o - h = -19*o. Solve 2*f = o*n - 0*f + 2, -n - 5*f + 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -29*a**2 + 1838*a + 2760. Determine l(65).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 1686 + 3*m - 1357 - 5*m - 1358 + 4401.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4 = 0, -n + 2 = n + z. Solve n*u - 3*u - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 7*j. Let t(o) = -27*o. What is -15*f(m) - 4*t(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4*c = -28, 2*x + 3*c = 382 - 388. Let d(h) = 10*h**2 - 7*h - 15. Let s(q) = -5*q**2 + 3*q + 7. Determine x*d(w) + 7*s(w).\nAnswer: -5*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 291*u - 1919 - 6462 = 1804 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200211 + 2?\nAnswer: 200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -467*b + 4552 - 27319 - 8055 = 0 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8025460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 51 + -52. Let n be 2 + (g - 0) - -3. Let f(s) = s**3 - 2*s**2 - 6*s + 5. What is f(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 6*m**2. Let p(f) be the second derivative of -f**3\/3 - 12*f. Give v(p(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2 from -85316.52634.\nAnswer: -85316.72634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 97323263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 30636 divided by 6\nAnswer: 5106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzcc when four letters picked without replacement from czczzzzzczzzzzzzccc.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)*2*1 + -6*-3*sqrt(133))\/(sqrt(567)*-2*-5).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 15 + 15. Let i(m) = 24*m - 141. Let h be i(f). Solve 4*u + 3*d = -16 + 4, 3 = -u - h*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4674484?\nAnswer: 2, 1168621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/7 + 14398*k\/7 - 143880\/7.\nAnswer: -(k - 14388)*(k - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -322 - -323.952. Let u = k - -0.048. Let m be (-16)\/35 - 6\/(-10). Which is the third smallest value?  (a) u  (b) m  (c) -1\/5  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-2)\/m**(2\/7)*(m\/(m\/((m\/(m\/(m\/(m\/(m**(2\/11)*m)))))\/m)))\/(m*m\/m**6*m) assuming m is positive.\nAnswer: m**(69\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 67 = 2*m + 3*m, y = 5*m - 73. Suppose -3*t - m = -72. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.57 + 61.57. Let j = p + -61.4. Put 4\/7, -1\/4, j, -0.5 in descending order.\nAnswer: 4\/7, -1\/4, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 8*i - 17 = -4*i, 0 = -3*w + 3*i + 18. Suppose -b + 16 = r - w, 2 = b - 2*r. Calculate the least common multiple of 21 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 627*d**3 - 33*d - 302*d**3 - 273*d**3 + 33*d.\nAnswer: 52*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 3 = -m. Let f be (m - 1) + (-34 - 2). Round f to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**3 + 3*y**3 + 0*y**3)*(-78*y + 151*y + 1 - 77*y).\nAnswer: -4*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2406\/2777 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 991564120.\nAnswer: 2, 5, 233, 106391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r\/r**(-9\/7))*r**(-8\/5)*(r**1*r)\/(r*(r*r**(17\/2)\/r)\/r*r) assuming r is positive.\nAnswer: r**(-727\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 480\/(-168) + 1829\/868?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 5*h + 12. Let s(w) = -w**2 + 8*w - 5. Let l be s(7). Suppose 8 - l = 3*q. Calculate the lowest common multiple of h and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnkn when four letters picked without replacement from kknnkknkkkkkknkkkkk.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -50 - -46. What is the closest to 1 in i, 2\/3, -2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (0 + -6 - -4)*(-18)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 35*z - 105. Let m be s(38). Suppose -3*d = m, -917 = -y - d - 181. Does 71 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 y(n) = 2*n + n**2 - 4 + 0*n**2 - 6*n. Let s be y(6). Solve 0 = 2*u + 10, a - 2*u + 3*u = -s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 13. Let w = 41 + 31. Calculate the highest common factor of w and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 7*z - 5. Let w(u) = u**2 + 6*u + 5. Let h be w(0). Let t(g) = -14*g**2 + g**2 + h*g**2 + 7*g**2. What is y(t(p))?\nAnswer: -7*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 6 = 2*l. Let b(r) = 4*r**3 - 4*r**3 + 3*r**3 - 4*r**3 - l - 6*r**2 - 3*r. Is b(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14717.\nAnswer: 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 402*m - 15139. Let k(h) = 251*h - 10093. Calculate 5*f(x) - 8*k(x).\nAnswer: 2*x + 5049","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -37\/7?  (a) -10  (b) 5  (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of -k**4\/12 - 4*k**3\/3 - 9*k**2\/2 - 2*k + 14. Let q be m(-2). Solve q*i - 12 = 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**2 - 2. Let y(i) = 1725*i**2 + 1610. Calculate 2415*l(h) + 3*y(h).\nAnswer: 345*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 12:11 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/1608 and -11\/7035.\nAnswer: 56280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155193?\nAnswer: 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/93960 and 119\/8352.\nAnswer: 375840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-36)*(-468)\/1040)\/((-1)\/(-64))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 36*w**2 + 43*w**2 - 78*w**2. Let o(y) = -2*y**2 + 2*y**2 + 2*y**2. Give o(u(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 - 64. Let q(y) be the second derivative of 0*y**3 + 5\/12*y**4 + 5*y - 1\/2*y**2 + i. Differentiate q(s) with respect to s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 410 or -203?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 202268820 a multiple of 2532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 + (60 - 63)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 36\/20 + 4\/20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2163 and 1236?\nAnswer: 8652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1808.8921 + 1809. Round d to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 3626 = 16946. Let n = -1864 + b. Suppose -358 = -6*i + n. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3772172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (14 + -1 - -12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*x**2 - 495889*x + 495889*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 762300 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*j**2 - 71*j**2 - 52*j**2 + 186*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.192662 + -0.296132. Let f = 2.0966 - o. Let v = -0.2 + f. What is v rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10.40000329 - 10.4. Round b to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13080001 = 4*i - y, i - 4*y - 3270004 = -0*y. Round i to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - -14. Suppose 0 = -z - 3*z + 152. Calculate the remainder when z is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 3*b**2 - 4*b - 3. Let o be z(4). Let n = 148 + -120. Let m be (1\/3)\/((n\/(-60))\/(-7)). Sort m, 0, o.\nAnswer: o, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -23*h - 6. Let k(q) = 551*q + 145. Give 6*k(u) + 145*p(u).\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2887469 is divided by 68748?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, 1.5733, -24.\nAnswer: -24, 1\/8, 1.5733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12499*g**5 - 1458*g - 5704*g**5 - 4514*g**5 wrt g?\nAnswer: 45620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/78*20)\/((-285)\/3705)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45 + 45. Solve -5*n + q + 5 = 0, 2*n = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9356584337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -50 - -50. Suppose -2*f = -2, -3*k - 4*f + 4 = 2*k. Solve k = 2*l - v - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-10))\/l)**(-1\/16)\/(l**(23\/3)\/(l\/(l*l*l**(-2\/5)\/l*l*l))) assuming l is positive.\nAnswer: l**(-1037\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 10*p**2. Let k(t) be the second derivative of 0*t**3 - 19 + 2*t + 0*t**2 + 3\/4*t**4. Calculate m(k(v)).\nAnswer: 810*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -106, -126, -148, -172?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-978)\/8 + 3 + 0. Let h = 120 + p. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 602 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((88\/33)\/(13\/(-3)))\/(11\/(-143))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 - 0.16. Let b = 0.23 + -1.29. Let w = b - o. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 0, 3*g - 2*j - j + 15 = 0. Let o(p) = -2*p**3 + 5*p**2 + 3*p. Let t(r) = -2*r**3 + 4*r**2 + 2*r. Determine g*t(k) + 4*o(k).\nAnswer: 2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 143*f**3 - 525*f**2?\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, r: 1, b: 3, s: 1, z: 3}. What is prob of picking 1 r, 1 b, and 1 z?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2966408 = 2*a, -4*a + 138 = 154. Round t to the nearest 10000.\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*k - 5*k + 0*k)*(2*k + 3*k - k) + 3 - k**2 - 3 + 7*k**2 + 3 - 9*k**2 - 2 to y*k + i*k**2 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 0)*(161*i + 41 + 983*i - 41)*(3*i**2 - i + i).\nAnswer: -6864*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -154987645 divided by 154987645?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/1*-1 - -1. Suppose -5*m - 2*o = -52, -m + r*o + 7 = -o. Let w be ((-24)\/m)\/(3\/(-10)). Solve -5*z + 3 = w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234 - 306 = -27*m. Calculate the least common multiple of m and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {u: 8, v: 1, p: 3, a: 3, t: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1120214 (base 6) to base 12\nAnswer: 2906a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**4 + b**3 - b**3 + (2*b + 0*b - b)*(b**2 - b**2 + 2*b**3) + (-3*b**2 - 2*b**2 + 3*b**2)*(-22 + b**2 + 22).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -51 + 35.9. Let v = -25.4 - t. Let i = v - -10. Which is the closest to -1?  (a) 0  (b) i  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1069 + -762. Suppose 8*t - 589 = d. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*r - r - 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 1, -6, 3 in ascending order.\nAnswer: -6, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 817, 1966, 3471, 5344, 7597, 10242?\n\"Answer: 2*b**3 + 166*b**2 + 637*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3156, 26039, 88736, 211335, 413924?\nAnswer: 716591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6a5 (base 14) in base 8?\nAnswer: -2451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nwww. Give prob of sequence ww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - v + 6. Let m = v + 42. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 986 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13680404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of n**6\/1620 + n**5\/540 - n**4\/54 - 7*n**3\/3 + 12*n. Let b(x) be the second derivative of f(x). Factor b(k).\nAnswer: 2*(k - 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24537541?\nAnswer: 7, 3505363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110 - 11?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 26*b**2 - 24*b + 38. What is z(25)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, -27, 3\/8, -7, 3, -5, -1\/3.\nAnswer: -28, -27, -7, -5, -1\/3, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25693 - -56593. Suppose 5*y = 6*y - x. What is y rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 15*a - 32. Calculate w(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 4*n + 6. Suppose 2*r - 3*r + 4 = 0. Does 4 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of c**6\/360 + c**4\/24 + c**3\/3 + 2. Let t(g) be the third derivative of o(g). What are the prime factors of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*k - 8*k - 9*k - 8*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - x**2 - x. Let g(o) = -2*o**5 + 7*o**3 - 3*o**2 - 7*o. Let n(b) = -2*g(b) + 14*s(b). What is the third derivative of n(j) wrt j?\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14278 is divided by 14204?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (-2284)\/(-2 - 2). Let d be m\/2 + 16 + -18. Let a = d - 189. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**5\/30 - z**4\/12 - 13*z**2. Find h, given that x(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109021939?\nAnswer: 13, 8386303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -21) + -3 + (5 + -6 - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -35*d**2. Let n(l) = -l**2. Let x(k) = 4*n(k) - o(k). Let w(s) be the third derivative of s**4\/24 - 4097*s**2. Give w(x(z)).\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 416083 and 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4\/9 + 1\/18. Let 0 + 1\/2*m**2 - q*m = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1177 (base 10) to base 12\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than 4028?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 5) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*y + 71*y - 522 = 0. List the prime factors of y\/(((-4)\/268)\/1).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37 + 119. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -2, -4, 3, -14 in decreasing order.\nAnswer: 3, -2, -4, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 5 + 3 - 3*d)*(0 - 2 + 4).\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 61776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35994.51 + -35850. What is o rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/8 and -57\/46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide ((-1 + -3 + 7)*-38)\/((-18)\/1710)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 234058?\nAnswer: 2, 11, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 5\/3 - 578\/(-102). Suppose 0 = -d, 2*u + o*d = 7*u - 240. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 5:48 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 112033?\nAnswer: -112042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 201 divide 171612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2489)\/(-524) - 2\/(-8). Let x(s) = 25*s**2 - 3*s - 4. Let c(q) = -13*q**2 + 2*q + 2. Give h*c(o) + 3*x(o).\nAnswer: 10*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - v. Let y(n) = 5*n**2. Determine 3*p(m) - y(m).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 4*z + 5. What are the prime factors of 10\/25 - (2 + (-48)\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2497*a + 1. Calculate l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*a + 1487 + 104 = 0, 5*u + 2*a = 2677. What are the prime factors of u?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -30*j + 12. Let s = 21 - 30. What is the units digit of c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.99042 kilograms in nanograms?\nAnswer: 22990420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 630304*q**3 - 53752*q**3 - 95445*q**3 + 329253*q**3.\nAnswer: 810360*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1804 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -d (base 16) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 62 in 4, 0.05, 0.7, -1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 91488204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -74395800 rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ghggggggghgh. What is prob of picking 3 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) 45  (c) -155  (d) 0.2  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 9:27 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1423502476.\nAnswer: 2, 11, 23, 751, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 383*d**2 - 6*d - 4. Let i = -228 + 227. What is the units digit of t(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/21, -124.49, -0.1, -0.056?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1042*p**2 - 834*p**2 + 111*p**2 + 3426*p**2.\nAnswer: 3745*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13298588 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of 2*p**6\/15 - p**5\/4 - 7*p**4\/12 + p**3\/3 + 9*p. Solve k(i) = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 21026 + 26 = 0. What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 103477 - 46357715\/448. Find the common denominator of d and 79\/448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 765059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 244051.\nAnswer: 109, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12549 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 338400 by -1504.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-15)\/(-90))\/(10\/(-9)). What is the closest to 2 in 0.5, -1, 0.4, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -10, -43, -120, -259?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y + 10. Suppose 3*b + 2 - 17 = v, -5*v - 15 = -3*b. Is 10 a factor of k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-3.26746.\nAnswer: 0.980238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -5*n - 46, 24*n + 5*v - 3*v = -12 + 108 - 38 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (110 - 143 - -141) + 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from fyyf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 83, 10, -14.947, -0.3, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -16752*-5\nAnswer: 83760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28296 + 19086. What is v rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -197, -799, -1803, -3209, -5017, -7227?\n\"Answer: -201*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-11589)\/84986 - (-3)\/22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002609603 rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 751\/4966 - -1\/382. Let o = 2 + -2. Which is the closest to o?  (a) 0  (b) -2\/3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -554*r**4 + 746?\nAnswer: -2216*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -4*l + 3. Let o be k(-3). What is the common denominator of (4\/(-30))\/((-8)\/81) and (o\/(-9))\/(22\/57)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 450.2?\nAnswer: -45.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.14484 - 6269.85516. Let a = f + 6236.01. Let h = a + 33. What is h rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, d: 6, v: 3, g: 1, i: 1}. Give prob of sequence vdvv.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -772 or -773?\nAnswer: -772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d = -d - 224. Suppose -13*v + d = -5*v. Suppose 5*t = -4*p + 96, 4*t + 7 = 2*p - 15. Solve 2*u - s = -3*s + 6, 0 = -3*u + v*s - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)\/(sqrt(10)*-1) + (sqrt(272) + 4 - sqrt(17)))**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = -w. Let d(l) = -4 + 0*l**2 + w*l**2 - 4 + 3. Is d(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*b + 5938 + 56 = 0. Let u be (-2)\/4 - 37\/b. Let -1\/4*r**2 - 1\/4*r + u = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r**2 - 3*r. Let z be j(-4). What are the prime factors of (-2 + -1)*z\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1944003 times 21?\nAnswer: -40824063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 - k. Let r(y) = -4*y**2 - 17*y + 10. Let o(p) = -3*m(p) + r(p). List the prime factors of o(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 + 2*a + 8. Let u be s(-8). Let x = 123 - u. Solve -j - 5 = 2*m - 1, 5*j + 13 = -x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -362, -1217, -2568, -4415?\nAnswer: -6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48656, -329, -1.\nAnswer: -329, -1, 48656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = -5*r - 36. Let u be 12\/r - (-938)\/(-3). Let z = 451 + u. What are the prime factors of z?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/18 and 115\/62784.\nAnswer: 62784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.17 and 560766.\nAnswer: -95330.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*b + 1099 + 1190 = -694 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19152*s**4 + 2*s**2 - 11*s + 114?\nAnswer: -459648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d**3 + 2*d**2 - 417*d - 824. Give a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_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 40*g + 10*g = -85*g + 57240. What is the remainder when 2983 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 9. Suppose 11 = -x*o - f, -4 = 2*f - 14. Which is greater: o or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -886 - -893. Sort k, 72, 1.\nAnswer: 1, k, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1142272854*a - 411287614.\nAnswer: 1142272854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 102768 and 0.1.\nAnswer: 10276.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(833)*-2 + -3 + (sqrt(833) + (sqrt(833) - ((sqrt(833) - (sqrt(833) + 0 + sqrt(833))) + 0 - sqrt(833))))*-1 + -5)**2.\nAnswer: 1120*sqrt(17) + 83364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 77 - -30. What is the greatest common divisor of p and 5029?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 9:42 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-81375262)\/14 + 4\/(-14). Let z = 17812519 + i. Round z to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - -2 - (-9)\/(-4). Let z = 205562 - 5343241\/26. Let w = z - 105\/2. What is the biggest value in w, -0.4, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s**5 + 2*s**3 - s**2 + s + 1. Let n(v) = -20*v**5 - 4*v**3 + 5*v**2 - 4*v - 3. Let u(m) = 2*l(m) + n(m). Find the second derivative of u(z) wrt z.\nAnswer: -200*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -4. Let q = 5 + -4.9. Sort q, o, 2\/11 in ascending order.\nAnswer: o, q, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/10 and 38\/255.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, h: 1, s: 2, e: 1}. What is prob of sequence he?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 55, 101, 145, 187, 227, 265?\n\"Answer: -x**2 + 49*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*s - 6. Let o(r) be the first derivative of -1 + 3\/2*r**2 - 1\/3*r**s + r. Calculate o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 962915.7 to the nearest one thousand.\nAnswer: 963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 86 + -83. Which is the nearest to 1?  (a) 6  (b) -5\/2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(44)\/sqrt(4))**2 + -2)*-4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -5*(-3 + -3*sqrt(176)))*2 + 3 + -3)**2.\nAnswer: 7200*sqrt(11) + 159300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 7*y**2 + 6*y + 1. Let a be d(-6). Let f(m) = -m - 5*m**2 + 3*m**2 + 2*m + 5101*m**3. Let q be f(a). What is q rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 5*j**2. Let u(o) = -46*o. Give u(r(d)).\nAnswer: -230*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (30\/20)\/((-2)\/(-16)). Let v = c - 7. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {y: 3, o: 2, a: 1, t: 1, d: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 244*n**4 - 492*n**4 - 25*n**2 + 3*n + 249*n**4 + 3*n**2 - 6 - 2*n**3 as q*n**2 + w*n**4 + z*n**3 + k*n + c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 665 - -509. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2368910 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 112422357 + -4?\nAnswer: 112422353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 1\/5  (b) 9  (c) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 430820.7521 to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -0.34, -0.2, 1\/7.\nAnswer: -0.34, -0.2, 1\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.242 and 0.3?\nAnswer: 0.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 724 is divided by (-48)\/42*(-4 - (1 - -198)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 7*h**2 + 4*h + 5. Suppose x = -x + 12. Give t(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1447268591293834782130375\/4914516 + -588977059508554153\/2. Let t = -1\/819086 - i. Let q = 7316 - t. Find the common denominator of q and -65\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 40.5 * -0.117.\nAnswer: -4.7385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18871.9 - -18872. Which is the nearest to -1\/4?  (a) -99  (b) 0.03  (c) -3\/8  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 5 + m)*(1 + 3 - 5)*(1 + 2 - 2)*(-20*m**2 + 10*m**2 + 11*m**2).\nAnswer: -m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2*u - u = 34, -31 = -3*j + 2*u. Let n = j + -5. Solve 4*c = -n - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h. Let a(v) = v**3 - 6*v**2 + 6*v + 1. Let i(l) = -l**3 + 6*l**2 - 7*l - 2. Let u(b) = 6*a(b) + 5*i(b). Let p be u(6). Calculate y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 294149 is divided by 2471?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4355*c + 8725*c - 4369*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 1 - 3 - 1 - 17*c - 60*c + 53*c**2.\nAnswer: 53*c**2 - 77*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (20 - -1) - (-279 - -292)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 612489.9 millilitres in litres?\nAnswer: 612.4899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 1:14 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (14 - (11 - -6)) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 8*b - 75. Let s be c(8). Suppose -v - 71 = -5*m, -2*m - 2*v = -v - 34. Let q = m + s. Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2353309 is divided by 15482.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**3 + 22*d**3 - 2*d**3 + 2 to g*d**2 + a + r*d + l*d**3 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71 + 3.1.\nAnswer: 74.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1231564 is divided by 1070?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of -y**6\/15 + 7*y**5\/20 + 5*y**4\/12 + y**2\/2 + 7*y + 4. What is the third derivative of s(q) wrt q?\nAnswer: -48*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1879\/5 + 379. Is t at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/3)\/z)\/z**(-5\/7) assuming z is positive.\nAnswer: z**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5*-2*-1*sqrt(133))\/(4*(sqrt(7) - ((sqrt(112) - sqrt(7))*-3 - sqrt(7))))*6*2.\nAnswer: -3 + 30*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**2*o)\/o*o**13)**(1\/32) assuming o is positive.\nAnswer: sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -516 - -479 - (3 + -55)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2408 divided by 4\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 12:40 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41*t**4 - 2 + 30*t**4 - 364*t**4)*(-2 + 4 - 1)*(4 + 4 - 3).\nAnswer: -1465*t**4 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 5*a**2 - 2*a - 3. Let y be t(4). Suppose 4*k + 3*b - 99 = 4*b, 2*b = y*k - 120. Calculate the highest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (703 - r + 640 - 1396)*(-3*r + 2*r + 2*r).\nAnswer: -r**2 - 53*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 54 + -25. Suppose 2*z + k = 109. Let p = z - 36. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -6*p**2 - 11*p - 10. Let q(g) = 7*g**2 + 12*g + 11. Let f(b) = 5*q(b) + 6*z(b). Let m be f(-3). Suppose m*j - j - 18 = 0. Solve j - 22 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = 12*b - 38772. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of 0*i**4 + 0*i**2 - 31\/6*i**6 - 214*i - 107\/6*i**3 + 0 + 0*i**5. What is the second derivative of z(o) wrt o?\nAnswer: -1860*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 + 4*m. Suppose -11*v = 3*v - 28. Suppose -j - 7 = 2*g - 2, -v = 2*g + 4*j. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4\/3, -2\/3, -17, -0.3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/214 and 57\/2.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1382356*y**3\/3 - 2764720*y**2\/3 - 1382372*y\/3 - 8\/3.\nAnswer: -4*(y + 1)**2*(345589*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/23, 2\/3, 1, -4\/5, 3.\nAnswer: -4\/5, -2\/23, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 287010 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from uuuuuhihshiuuius.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 227 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4 + ((-24)\/(-4) - 3) - -4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -0.3, -0.038, -9, -13\/4 in increasing order.\nAnswer: -9, -13\/4, -0.3, -0.038, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z. Let p be q(3). Let v be (-9 - -3)\/(p\/(-4)). Solve -5*t = -v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/20*(-28)\/315\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -5. Suppose -1 + d = 2*w. Find the first derivative of -3*j**w + 5*j - 1 - 5*j wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2153 - -2157. Solve 8*r - 7*r + 16 = o*a, -5*r = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10775.1151 - 10775. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 4:46 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -1. Let b be 12*((-3)\/l - -2). Suppose -3*i + o = -14, -10 = b*o - o. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + 1. Differentiate -t - v - 3 + 5 - 2 with respect to v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z**3 - 5*z**3 - 21*z - 9 - z - 2*z + 24*z**2. Let n(d) = d**3 - 3*d**2 + 3*d + 1. Let r(j) = -51*n(j) - 6*u(j). Determine v, given that r(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/35 and -83\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1177 + 12?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 - -45. Solve 0*u + w*u = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18214 is divided by 4553.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j - 16. Let w be g(-13). What is the nearest to 1 in 1\/6, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 2  (b) 0.1  (c) 9\/8  (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 102928*c. Let f(o) = -342*o**2. Calculate f(g(b)).\nAnswer: -3623207228928*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 - -12. Suppose -h + 4 = q. Suppose 6*w - 52 = h*w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s. Suppose -2*q + 15 = 3*q + 5*x, 0 = -4*x. Let n(v) = -5*v + q + 0*v - 3 + 0. Calculate n(k(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 13331 and 13099 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 i, and 1 u when three letters picked without replacement from {d: 2, q: 1, u: 1, i: 1, m: 2, b: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 11:46 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-50)\/(-45))\/5 - (-2)\/(-9). Suppose k = 3*j - 2*g - 105, -4*j + 5*g + 59 = -2*j. Calculate the remainder when 72 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9, -21, -45, -87, -153, -249, -381?\n\"Answer: -p**3 - 5*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 8) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1044\/(-8))\/29*12\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-43)\/(-12) - (0 + 4)) + -5. Let s = l - -31\/6. What is the third biggest value in -4, s, -179, 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 10, w: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4688 divided by -8\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -21  (b) -8\/7  (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from {y: 1, p: 3, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q - 19*q + 1880*q**2 + 6*q + 7*q + 7*q to c*q**2 + v*q + d and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 180.6 - 180.9. Which is the smallest value?  (a) 2\/9  (b) -3  (c) 0.061  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 3 + 3)*(-5*j + 15*j + 9*j)*(-j + 0*j - 2*j + (-5 + 0 + 4)*(2*j - 2*j - j)) to the form d*j + w*j**2 + n and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 7*a - 3. Suppose 5*d - d = 4*j - 100, 4*d = 2*j - 48. Calculate the remainder when j is divided by w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v + 19. Let s be d(7). Solve 5*f + 2 = s*m + 7, 16 = 4*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -101110000011?\nAnswer: -101110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 22*u**2 - 40*u + 4 + 44*u - 4*u**3 - 26*u**2.\nAnswer: -4*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104008 is divided by 1874.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + 1 + 52\/(-16). Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from wdgdgxxdd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 588750 and 30772500?\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(-175)*-5)\/(-2 + (-36)\/(-15))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 270097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-18)\/(-4) - (9 - (-85)\/(-10)). Solve 4 = -f*k - 6*r + 3*r, 4 = -r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1115198 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 4*d**2 - 21*d - 54. What is the units digit of u(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 23. Which is greater: f or 0.19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 1\/8, 4\/71, -4, 2\/7, 0.5 in descending order.\nAnswer: 6, 0.5, 2\/7, 1\/8, 4\/71, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/((119\/51*(-12)\/(-10))\/1) and 429\/(-36)*(-1)\/(-18).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 3875*d**5 + 560075*d**4\/3 + 647785*d**3\/3 + 60835*d**2 - 1410*d = 0.\nAnswer: -47, -3\/5, 0, 2\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 5 = -m + 1, 0 = 3*x - 2*m + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(195)\/sqrt(5)*5 - sqrt(39)) + 2*sqrt(1404))\/((sqrt(243) - 3*sqrt(243) - sqrt(243)) + sqrt(3)*3*3)*1.\nAnswer: -8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 65 - 64.5. Let u(i) = i**2 + 11*i + 5. Let r be u(-11). Let q be 15\/12*r\/25. What is the nearest to -7 in 5, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*t = -247*t + 113*t - 1420 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 + 35. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 29\/74?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a**3*t**2 + 48*a**3*t - 6*a*t**2 + 2*a + 7*t**2 wrt a.\nAnswer: 6*a*t**2 + 288*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, 4, 47, 122, 235, 392, 599?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.2, -3, 1039, 1, 5, -8.\nAnswer: -8, -3, -0.2, 1, 3, 5, 1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 8*z**2 - 1. Let f be p(8). Let i(n) = -13000*n**2 + n + 1. Let v be i(f). Round v to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 309630848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*b**5 + 6*b**5 - 7*b**5 - 3 + 3 - b**5 + (-3 + b + 3)*(-b**2 + 2*b**4 + b**2) - 4 + 4 + 3*b**5 - 56*b**5 - b**4 - 127 + 127.\nAnswer: -59*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 4*o + 4*u + 118 - 112, -287*o = 4*u + 582 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34*b**3 - b**2 + 1660*b - 9768171 wrt b.\nAnswer: -102*b**2 - 2*b + 1660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -894, -1\/3, 0.2, -3.\nAnswer: -894, -3, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of -31*w**4\/12 + w**3\/2 + 79*w**2 + 251*w. Differentiate i(g) wrt g.\nAnswer: -62*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*l = -3457 - 815. Suppose -148*y = -150*y + l. List the prime factors of y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n - 3*n - 588 + 588 - 6*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-4\/7))\/p**(1\/4))\/(p\/(p**0*p*p))**(15\/7)*(p*p*p**(-3\/4)*p\/(p\/(p*p*p\/(p*p**(-5))*p*p)*p))**(-43) assuming p is positive.\nAnswer: p**(-2760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(704) + sqrt(11) - (sqrt(11) - 1*sqrt(539))) + (-2 + (-2 + sqrt(1331) - (sqrt(11) - (sqrt(11) - -4*sqrt(22)\/sqrt(2)))))**2.\nAnswer: -105*sqrt(11) + 2488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001259 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3227*y**5 - 110*y**4 + 464*y + 201885 wrt y.\nAnswer: -64540*y**3 - 1320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 87 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 247 divide 44460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**3\/6 - x**2\/2 - 264*x. Let c(l) = 11*l - 6. Let p be 10\/4*24\/10. Give p*w(j) - c(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 less than -392.4812?\nAnswer: -404.4812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 4*s - 146 - 278, 4*w = -4*s + 424. Calculate the remainder when s is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.43 + 0.1. Let r = -1.5 + g. Let n = -8.6 - -9. Which is the nearest to -1?  (a) r  (b) -3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -885, -1463, -3027, -6069, -11081, -18555?\nAnswer: -28983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - r - 1. Let m(n) = 8*n**3 - 4*n**2 - 2*n - 2. Determine 2*k(u) - m(u).\nAnswer: -8*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000485863 to seven dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 122, 160, 110, -34, -278, -628, -1090?\n\"Answer: -y**3 - 38*y**2 + 159*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2625*g + 1 - 2626*g + 5242*g + 1. Let u(v) = -3*v + 6. Calculate u(r(l)).\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*w = -23*w - 25*w. Solve -2*i - 2*i = w, 0 = o - 5*i + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*v + 8888 = -9*v. What are the prime factors of v?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -9 + 4 + 4 - 73*q. Let v(j) = 2*j. Determine v(i(f)).\nAnswer: -146*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -7. Let w(q) = 1 - 1 - q - 2. Let m be w(-2). Solve -4*p - 5 = p + u*j, m = 5*p - 3*j - 35 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-3138)\/(-9) - 9\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -8 + 0 + 7*f + 0 - 7*f - 3*f. Determine o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6, 3, 9, -2, -3.\nAnswer: -3, -2, 3, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 11*n + 13. Let u(t) = -5*t - 6. Let q(f) = -13*u(f) - 6*w(f). Let o(h) = 13*h**2. What is q(o(x))?\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -86.83235567 - -129.83235594. Let m = -43 + k. What is m rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 1 - 5*-2. Suppose 2*t - y + 2 = c, -2*c + 2 = 0. Let z = t + 10. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 + (-14 - (-29 + 47)) + 14 + 5?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001111 (base 2) in base 11?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (1 - (3 + 14))) + -50\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of -2 - 5\/2*j**2 + j. Let m(x) = -x. Suppose -5*p + 9 + 0 = 2*u, 2*p + u = 4. Determine p*a(k) - 3*m(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 12*s + 82. Let k(v) = 3*v + 1. Calculate -3*k(a) + z(a).\nAnswer: 3*a + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*b = -0 - 6, 0 = 5*y - 2*b + 20. Let k be y\/(-5) - 39\/(-15). Solve -3*f - 2*f + 12 = -j, 6 = -k*f + 5*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303037022 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ipkx when four letters picked without replacement from {x: 6, k: 4, i: 6, p: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/210 and -85\/5220999?\nAnswer: 52209990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -70*h - 1756. What is w(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28640 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 3*s + 11 = 0, -2*q - 4*s - 52 = -80 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -6*n + 4*n + 3*d, -4*d = 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/sqrt(48))\/sqrt(6).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -19787, -79188, -178197, -316814, -495039?\n\"Answer: -19804*d**2 + 11*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**3 - 29*y**2 - 306*y - 3554. What is i(-12)?\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**3 + 34*u**2 + 29*u - 47. What is t(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 91741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from {o: 1, i: 1, p: 1, g: 5, d: 6, u: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1361*z**2 + 428492*z**4 + 776*z**5 - 428492*z**4 wrt z.\nAnswer: 46560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -30231210211?\nAnswer: 30231210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 4. Let o(g) = -g**3 - 7*g**2 - 7*g - 4. Let c be o(t). Suppose -c*k = 5*j - 183, -3*j - 4*k + 125 = k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or -19\/1646?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 209 divided by -19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 5*p**2 + 3*p + 3. Let j(u) = -44*u**2 - 26*u - 26. Let m(n) = 6*j(n) + 52*y(n). Let g(f) = -887 - f + 0*f + 887. Calculate g(m(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 99, 90, 69, 30, -33, -126, -255, -426?\n\"Answer: -i**3 - 2*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 5*k - 3. Let n be b(-6). Let y(m) = -3*m - 3*m - n*m - 6*m. Let u(f) = -2*f. What is y(u(c))?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*c - 24 = -0, 0 = -2*d - 2*c - 4. Suppose d*t - t - 5 = 0. Suppose 23 = 3*n - 5*m, 3*m - 38 = -t*n - 11. Solve j + 2*j = -n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 6:02 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8524 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 98516843*b**3 - 3*b**2 + 3959*b - 26734 wrt b?\nAnswer: 591101058*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = 4*g - 94. Suppose 38 = g*m - 25. What is the remainder when 76 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 860 = -11738*b + 11748*b for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-2*(3 + (1*sqrt(2299) - sqrt(2299))))**2 - 2*((sqrt(2299) + 1)*-5)**2).\nAnswer: 4400*sqrt(19) + 459856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5337, 10675, 15999, 21303, 26581, 31827, 37035?\nAnswer: 42199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -557.9 and -7363.\nAnswer: 4107817.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 129365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c - 17*c + 6*c + c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 58*p**2 + 543*p - 894. Give l(66).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 4 + 0 + 2*g - 2. Let n(j) = -14*j - 36. Let a(c) = -5*c - 13. Let b(z) = -11*a(z) + 4*n(z). Calculate 2*b(v) + 2*w(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + g + 27408, -4*s = -5*s + 2*g + 27403. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 7:09 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -1 - 184\/(-8 + -15))*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -34.5 + 197.5. Let l = d - 279. Let s = -115.9999897 - l. Round s to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-10)*8*1. Let f be 1\/b - (-54)\/24. Solve -s + 2*g + 3 = -f*g, s - 3*g = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -11*p - 0*p + 9*p - 1, -3*m = 2*p + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 11*h - 5151 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-200)\/1875*18)\/(38\/(-95))\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -654.99*-0.75.\nAnswer: 491.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 20*b + 9. Is m(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/5*(-2)\/14\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-20)\/15)*(-8 - 3\/1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31106715 divided by 44123?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 + 5*m - 30. List the prime factors of x(-15).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2335680 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 2\/13772397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3012289 to the power of 1\/2, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*m**2 + 3*m**3 + 11*m**2 - m**2 to b*m**2 + l*m**3 + w*m + v and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -122a6 + -3?\nAnswer: -122a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*o = -2*f + 58, -3*o = -f + 60. Which is greater: 65 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2240328*x**2 - 2240331*x**2 - 175*x + 175*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.0363 times -1661756\nAnswer: -60321.7428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 961726 and -30.\nAnswer: 961696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/((-4)\/(12 - 0)). Let n = -16 + h. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - -658.\nAnswer: 657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -60*f**2 - 5*f. Let z be (-2)\/3*(-75)\/10. Let i(y) = -89*y**2 - 8*y. Let r(j) = z*i(j) - 8*o(j). Let s(p) = -2*p**2. Determine r(s(h)).\nAnswer: 140*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + -66 + 13 + 57?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -392 + 0*r**2 + 1014 + 4*r**3 + 0*r**2 + 625.\nAnswer: 4*r**3 + 1247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f*t**4 + 18*f*t**2 - 13*f - 3*t**2 - t + 6 wrt t?\nAnswer: -12*f*t**2 + 36*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004934454 rounded to six dps?\nAnswer: 0.004934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = m + 5. Let t be (24 + -25)*4\/(-2). Suppose 0 = 3*u + t*u - 10, u = m*g - 31. Solve 2*i + 26 = 5*k, 0*i + i + g = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 2*x = 0. Suppose 4*g - 2*s = 6 + 4, 5*g - s - 14 = x. Solve g*n + 15 = 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - (-6 - 1))*533 - 6. Suppose 635 = 3*b - d. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 - -3. Let w(a) = a**3 + a**2 + 5. Let o be w(0). Let b = 20 - o. Calculate the remainder when v is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 PM and 4:04 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -915 - -1365. Let x = n - 447. Solve -a = -x*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1245 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -138 at most 0.062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 429338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -10*n - 6. Let z(d) = -3*d**2 + d + 2. Let f(g) = -g**2. Let w(x) = n*z(x) + f(x). What is w(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*n - 25*n = 16. Let j(w) = -w**3 - 17*w**2 - 16*w + 7. What are the prime factors of j(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3303 - -20?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.19, 1\/6, 0.5, 6319 in decreasing order.\nAnswer: 6319, 0.5, 0.19, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 221 divide 253567002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 335\/7 - 9861\/14. Let c = p + 672. Let w = 27957\/10 + -2800. Find the common denominator of c and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 14*a + 13. Let m be r(-15). Suppose -3*i = -2*n - 26, 0 = -3*i - 0*i + n + m. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a - -d3?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-16 + 9 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - (-8)\/(-4))\/((-2)\/(-6)). Solve 5*o = -g - 5, 4*o = d*g + 25 - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*((f*f**(-2))\/f)\/f*f)\/f)**7\/(f**2\/(f\/f**(-1\/9)*f)))\/(((f*f*f\/f**(5\/6)*f)\/f*f\/f**1*f)\/(f**0*((f*f*f*f**(4\/5))\/f)\/f*f)) assuming f is positive.\nAnswer: f**(-1283\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 841850?\nAnswer: 2, 5, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 450 = -1218. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -0*s - 3*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1723, 6746, 15119, 26842, 41915?\nAnswer: 60338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m\/(m*m**9)))\/(m**(-2\/23)\/m*m)*(m*m\/(m**(-2\/3)\/m))**(-44) assuming m is positive.\nAnswer: m**(-10505\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(432)*2*-5 + sqrt(27) + 2 + sqrt(54)\/sqrt(2).\nAnswer: -114*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7353 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -641, -1210, -1555, -1568, -1141, -166?\n\"Answer: 18*l**3 + 4*l**2 - 707*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.07  (b) -1\/2  (c) -3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**3\/4 + 1251*g**2\/2 + 101169*g\/4 - 2629935\/2 = 0.\nAnswer: -69, 30, 2541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11 + (-1)\/(-1) + -2. Let w = 13 - u. Let f(d) = w - 4*d - 4 + 3*d + 2. Give f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 100, 101, 102?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 2, 0, 5, -2 in ascending order.\nAnswer: -2, 0, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 + -18. Suppose p = -3*w - 0. Put 1, w, 5 in decreasing order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 201 = -5*y - 162, 14*d = 2*y + 44*d - 108 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -152 divided by 63265\nAnswer: -152\/63265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21507340?\nAnswer: 2, 5, 337, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - -13. Suppose -2*u + r = -0. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -163098 plus 24?\nAnswer: -163074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1\/4)\/(d*d**7)*(d**2)**(-25) assuming d is positive.\nAnswer: d**(-233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 5*r = 82, 5*b + 3*r - 126 - 22 = 0. Suppose 3*m - 5*y - 47 = 6, -3*m - y = -b. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + 5*q - 5. Let w be o(-10). Suppose -f = 5*r - 0*f - 55, -3*f + w = 3*r. Is r 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 264, 2674, 9250, 22074, 43228?\n\"Answer: 347*y**3 + y**2 - 22*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1890\/(-42) + 1083\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/34)\/(a*a*a**(-1\/21)*a))\/(a**(-1\/17)*a\/(a\/a**(-7\/4))) assuming a is positive.\nAnswer: a**(-1591\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/3492 and -73\/372.\nAnswer: 108252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) -21  (c) -38258  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 166*v - 62.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 826.4386ug in milligrams?\nAnswer: 0.8264386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/((-480)\/(-84)) + (-10)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*z**2 + 68 + 6*z**2 - 6*z**2 + 266 in the form r + l*z + g*z**2 and give r.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -25 in 0.05, -1\/5, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 751943.2 millilitres?\nAnswer: 751.9432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 26*g**2 - 21*g - 2. Calculate r(25).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 7*x**2 - 9*x + 4. Let i(g) = 14*g**2 - 17*g + 8. Determine 11*b(s) - 6*i(s).\nAnswer: -7*s**2 + 3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1184162 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-3)*5*(-42)\/90\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 9:57 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 15. Let y be -1 + 139 - (1 - b). Is ((-1)\/(-3))\/(2\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48776 + 454527*h - 6*h**2 - 454527*h.\nAnswer: -6*h**2 + 48776","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/(-2))\/(2\/(-4)). Suppose 5*t = 4*h + 3, t + q*h = 3*h - 5. Let y be 4 + t + (4 - 4). Solve 8 + 1 = -y*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 3 = -5*n, 11*q - 7*q - 3*n = 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 6*i - 4*i**2 + 5*i**2 + 0 + 5. Let h be 1*-2*(2 + 1). Calculate the remainder when z(h) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 14*y - 4. Let o be ((-36)\/(-48))\/(3\/8). Determine a(o).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 804 and 2696520.\nAnswer: 180666840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*v + 37*v = 1160 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) 1\/4  (b) 12  (c) -2\/35  (d) 5\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-132)\/(-16) - (-53)\/1272*2*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 951 + -931. Solve 2*q + 3*a = -4, 0 = -2*a - s + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (376\/235)\/(3\/15). Suppose 12 = 2*o - 2*n, 4*o - 2*n + 2 = 20. Suppose 2*g - 7 = -t + 4, -o*g - 4*t + 19 = 0. Solve l + d = -6, 5*l - u - 2 = g*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i**2 - 5*i - 5. Suppose -6*v - 2*l - 9 - 23 = 0, -3*v - 2*l - 14 = 0. Let d(y) = -15 - 9 + 18 + 5*y**2 + 2*y - 8*y. What is v*n(k) + 5*d(k)?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -2\/48403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 + 4*k**3 - 8*k**3)*((-11*k - 7 + 7)*(16 - 5*k - 16) - k**2 + 2 - 2).\nAnswer: -108*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*3*2\/6. Suppose 2*k = o + 7, 0 = -2*a - k + 154. Does 17 divide (-4)\/(-6)*a\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (s + 2*s - s)*(3*s + 0*s - s)*(-33 + 5 - 41) to the form q*s**2 + b*s + h and give q.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 4*b + 2*t - 24, 19 = b - 4*t. Suppose -2*a + 12 = 3*a - b*f, 0 = 4*a - f - 11. Solve -a*r - 12 + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -2*b + 292. Suppose -4*u + b = -194. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 4*h**2 + 5*h + 2. Let w be (8\/6)\/((-24)\/36). Let i be a(w). Solve i = p - 4 - 0, 5*p - 21 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.499448 rounded to two decimal places?\nAnswer: 56.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -10*s**2 + 120*s + 4. Give t(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 + 0*k**2 - 3*k**2)*(1 + 2 - 2)*(-2*k**2 + 9*k**2 + k**2).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 26\/313?  (a) -0.4  (b) -8  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1 + 0 + -1 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 11930, 11906, 11874, 11840, 11810, 11790?\n\"Answer: o**3 - 10*o**2 - o + 11940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 5  (c) 1\/31  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uui when three letters picked without replacement from {i: 4, u: 2, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 8. Let n be u(8). Let c = -11 + n. Suppose z = c*z. Which is bigger: z or -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -25, -23, -21?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 110\/(-4) + 2\/(-4). Suppose 3*j + 5*m - 218 + 43 = 0, -3*j = 3*m - 171. Let u = j + p. What is the highest common factor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76)*-1 - sqrt(76)) + sqrt(76))*1.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 - 61 = -18*a - 17 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {z: 1, i: 2, t: 1, j: 1, r: 1, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*k**3*o**3 - k**3*o - 2*k**3 - k**2*o**3 + 5*k*o - 16*o**3 wrt o.\nAnswer: 24*k**3*o - 6*k**2*o - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 15*b + 79. Let s be m(18). Solve 2*j = 2*t + 16 + 2, j - 5*t - s = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 65*a - 4 - 2 - 9*a.\nAnswer: -74*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4294 and 73226?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2087136\/22757 - 6\/22757. Let x = 92 + r. Let g be 1\/3 + 2\/(-3). What is the closest to x in 0.01, 3, g?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.9891 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0334, -0.6, 0.11, 58 in descending order.\nAnswer: 58, 0.11, -0.0334, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -25 (base 8) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -242\/21 - -39709\/3444. Is i at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -5*u + 6. Let h be ((-76)\/(-130))\/((-3)\/(-1065)). Let d = 208 - h. Is u >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -414.\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 5 - 26)*(3*j - 2*j + 1 - 3*j).\nAnswer: 58*j - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a**4*i + 7944659*a**3*i - 1605456*a**2*i - 11*a**2 wrt a.\nAnswer: -24*a*i + 47667954*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8110395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {e: 3, c: 10, k: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00076177906 rounded to six decimal places?\nAnswer: 0.000762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12846, 25613, 38370, 51111, 63830?\nAnswer: 76521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -3*y**2 + 8022*y - 24039 = 0.\nAnswer: 3, 2671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 234402555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and (-2)\/17 + 176\/272*198?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 85074 and 541380.\nAnswer: 5955180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(18)*-5 + -2 + sqrt(2) + 1)**2.\nAnswer: 28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37484?\nAnswer: 2, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63938843 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i + 8*i - 40*i - 9*i - 26*i.\nAnswer: -61*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 107 - 102.3. Let s = j - 5. Put s, 5, 4\/3 in decreasing order.\nAnswer: 5, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11\/5 in 0.35, -0.57, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*v + 6*v**4 - 3)*(-803*v - 439 - 663*v + 439).\nAnswer: -8796*v**5 + 2932*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 299274721, 598549445, 897824169, 1197098893?\n\"Answer: 299274724*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 84103427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.3 + -2.7. Let y = s + 0.4. Let u = y + 4. Which is the third smallest value?  (a) 1  (b) u  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -22\/27106471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*w. Suppose 5*l - 62 = 3*n - 0*l, -5*n - l - 122 = w. Let g = 93 + n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209442737?\nAnswer: 7, 17, 67, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 6 - 2 = 0. Suppose -65 = -5*l + 5*r, -l + 25 = 4*l + 3*r. Let w = 8 - l. Solve w = -3*c - x*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 844 - 421. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(1\/29)*s)\/(s\/s**33)*s**(-12)\/(s*s\/s**(1\/25)) assuming s is positive.\nAnswer: s**(14554\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -8*i - 4. Suppose 2*x + 2*d - 11 = -3*d, x + 5*d - 13 = 0. Let h be x\/(3 - (-25)\/(-9)). Is 18 a factor of n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9655.479 millilitres to litres.\nAnswer: 9.655479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 506247, 1013132, 1520017, 2026902, 2533787?\nAnswer: 3040672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f - 29 + 45 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 82414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4, 8, 0, -26, -76, -156, -272, -430?\n\"Answer: -b**3 + 11*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, x: 3}. Give prob of sequence xh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 41938 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/23, 5, -2, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11515 and 7990.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2680119*r. Let o(g) = 141*g**2. What is t(o(c))?\nAnswer: 377896779*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-74)\/6*(-3546)\/4728.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 4, 0.1, 0.3, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {u: 1, c: 1, i: 5, n: 6, l: 2, e: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 648.6804 months?\nAnswer: 0.540567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 3:40 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of m**8\/3360 - m**7\/2520 + m**6\/240 - m**5\/2 - 47*m**2. Let j(q) be the third derivative of a(q). Give j(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -114, -99, -84?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v**2 - v - 1. Let i be a(-4). Let w = 12 - i. Let z = w - -57. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vmv when three letters picked without replacement from {m: 4, g: 1, q: 1, y: 2, j: 2, v: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, l: 12, j: 1}. What is prob of sequence ll?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/501  (b) 4  (c) -3  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2038231 bigger than -6114694\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 9:40 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + u = 2614, 3*o - 18*u + 13*u = 3947. What are the prime factors of o?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ceik when four letters picked without replacement from {i: 1, t: 2, e: 4, k: 1, c: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 33 = 3*h, 5*h = -2*o + 41 + 44. What is the remainder when 30 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.8 - 1.3. Which is the second smallest value?  (a) -1  (b) -2\/7  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 37\/(4662\/(-35980))*-9 and 2827.\nAnswer: 28270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 35*l + 37. Let y be n(34). Find a such that -1\/2*a**y + 0 - a**2 - 1\/2*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 597?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 653\/695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s**2 - 3 + 5*s + 4*s**2 + 9*s + 2*s**2. Let d be q(-5). What is the third derivative of 6*b**2 - 22*b**4 - d*b**2 + b**4 - 11*b**4 wrt b?\nAnswer: -768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23184 and 12512?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 AM and 1:50 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h**3 - 6*h**3 - h**3 - 2*h**2.\nAnswer: -4*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 34177.57km in micrometers?\nAnswer: 34177570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.7 - -0.5. Let n(d) be the second derivative of d**4\/12 + 5*d**3\/6 - d**2 - d. Let f be n(-5). Sort f, g, -4.\nAnswer: -4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/3579 and 113\/138?\nAnswer: 164634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -10, -6, -2, 2?\n\"Answer: 4*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-14)*22*6\/(-204)*-119.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 183606 and -3\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*q**2 + 7*q**2 - 18*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61676163?\nAnswer: 3, 6852907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**5 - 74*t**4\/7 - 2756*t**3\/7 - 8704*t**2\/7 + 11520*t\/7 = 0. Calculate t.\nAnswer: -8, -40\/7, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c - 468 = 2142. Let k = c + -173. Let y = 81 + -7369\/91. Is k greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7027 is divided by 1309.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**5\/60 - 5*a**4\/24 + a**3\/6 + 10*a**2. Suppose 5*u = u + 192. What is the remainder when u is divided by k(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 7:48 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/3))**(-2\/39)\/((((y\/(y**(-4)\/y))\/y)\/y)\/y**(-2\/5)))**(2\/29) assuming y is positive.\nAnswer: y**(-5108\/16965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/2053895567?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 565 divide 109181730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (92\/4)\/1 - 2. Let a be (56\/h)\/((-2)\/(-1254)). Suppose -6*q + 7966 - a = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + 7*h**2 - 6*h - 8. Determine g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3432\/2904)\/(((-24)\/(-18))\/(132\/9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 823982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 220943797 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 438 = -42. What is the derivative of s - 7*k**3 - 13*k**3 - 93*k - 8*k + 21*k**3 wrt k?\nAnswer: 3*k**2 - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**5 + 2*n**3 - 1. Let a(z) = -135*z**6 + 4*z**5 - 8*z**3 + 305*z**2 + 4. Let d(t) = -a(t) - 4*b(t). Find the third derivative of d(x) wrt x.\nAnswer: 16200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7377.24t in micrograms?\nAnswer: 7377240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.4  (b) -0.1  (c) 0.3  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -287*g**6\/360 + 101*g**4\/8 + 2*g**3\/3 + 297. Let o(s) be the third derivative of d(s). Differentiate o(p) with respect to p.\nAnswer: -574*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**3 - 3*g**3 + 0*g**3)*(1 - 1 - 1) + g**2 - g**2 - 3*g**3 + (7 - g**2 - 7)*(11*g + 0*g + 0*g).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1739175 divided by 77.\nAnswer: -1739175\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l**3 - 2*l**3 - 7*l**5 + 1 + 4*l**5 + (-5*l**3 + 0*l**3 + 0*l**3)*(3*l**2 + 0*l**2 - 4*l**2).\nAnswer: 2*l**5 + 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 674245 + -674245.03536984. Let b = 30.03705984 + r. Let v = b + -30. What is v rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k + 17. Let f be v(6). Suppose -5*h + 5*b = -3025, 0 = 4*h - b + f*b - 2428. List the prime factors of h.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - 2 - -3) + 2. Let i(o) = 2*o - 5. Let c be i(n). Solve c*t + j = 4, -5*t + 3*t = -2*j - 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 118 = -5*c + 19, -c + z - 21 = 0. Let a be (-88)\/c + (-2)\/5. Let w be -2 - ((-1 - -5) + -2) - -3. What is the closest to w in 1\/2, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(17)*-6 - (sqrt(34)*-1)\/sqrt(2)) + 0 - ((sqrt(2057) + 2*sqrt(2057) - (1 + sqrt(17))*-4) + -5)**2.\nAnswer: -23274 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 0 - 3 - i - 2. Suppose -67*a - 12*a + 25*a = 432. Determine t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -0.85.\nAnswer: -4.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -100.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rsswaarpnas. What is prob of sequence rpaa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 57432 (base 12) in base 10?\nAnswer: 116390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (9 - (14 - -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 11, v: 1, t: 7}. What is prob of picking 1 v, 1 t, and 1 b?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 1)*(2 + z**2 - 2) + (-z**2 + z**2 - 2*z**2)*(1 + 2 - 4) - 141*z - 5*z**2 + 141*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7295 - -7319. Solve 3*a + u = 3*w, -5*w + 3*a + 19 = 5*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 571 = 3*a + 5*q, -3*a + 2*q = 557. Let b = 1823 - a. Suppose -b = -7*y + 853. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 + 11*r**2 + 11*r + 4. Let b be c(-8). Suppose 2*h - b = -4*h. What is the smallest common multiple of 33 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 79 + 2125 = 3*m, 2*m + 1750 = -4*p. Let o = -235 - p. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -16, -402, 4, -4 in decreasing order.\nAnswer: 5, 4, -4, -16, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 44928.94003 to the nearest one hundred.\nAnswer: 44900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9918 - -9919. Let g = 1 - 1.05. Let z = g - -0.1. What is the nearest to h in -0.1, z, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*f + 6 + 123*f - 6.\nAnswer: 98*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cyfyyrrrrrydrrf. Give prob of sequence yfrd.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 211752 and 1421064.\nAnswer: 245844072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3006 - -3030. Calculate the remainder when 49 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, r: 2}. Give prob of sequence rm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.55 - 0.55. What is the third smallest value in g, -1, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45079011037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = c - 0. Suppose -41*j - 34 + 239 = 0. Put c, j, -4 in ascending order.\nAnswer: -4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1554 - 1556. What is the nearest to c in 26, -4\/5, 3\/5, -0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147527201?\nAnswer: 89, 1657609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140 + -1802.\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 321119930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 2)*(-53*r - 71*r + 40*r)*(4*r - 3*r + r).\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*k = 159*k - 2*v - 4, 0 = -2*k + 2*v - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 - (-3 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -433 - -673. Let k be o\/25 + 2\/5. What is the second derivative of -3*y - 9*y**2 + y - k*y wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46720282.\nAnswer: 2, 7, 193, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*d - 30 = 24*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 6 - 2 = 0. Let f be (-308)\/40 - 248\/(-31). What is the second smallest value in a, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44 + 21 + (25 - 38) + 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 79 - 39. Calculate the remainder when 319 is divided by f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z**2 - 10*z - 10. Suppose 6*h = -3*f + 2*h - 42, 0 = f - 3*h + 1. Let m(x) = -x - 1. What is f*m(v) + i(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14.7 + 18. Let i = b - 3. Let h be 15\/22 - (-2)\/(-4). Sort h, -0.6, i in ascending order.\nAnswer: -0.6, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8821965 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4\/7)*h)\/(h*h**0)*(h*h**0*h)**(11\/6))**(2\/25) assuming h is positive.\nAnswer: h**(26\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 6 = 3*z - 2, 3*a = -12. Solve 3*v = -3*s + 18, 3*s + z*v - 4*v + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3289931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1759, 3361, 4967, 6577, 8191?\nAnswer: 9809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/254 and 113\/108.\nAnswer: 13716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 627.9768ms in minutes?\nAnswer: 0.01046628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1227 by -3.\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17561608.\nAnswer: 2, 2195201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71240366?\nAnswer: 2, 2273, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104\/24 + -3 - 44\/6*-5 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2034761001 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 17513273 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 25 = -5*u, 3*u = -y - 2*u - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4724117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yhrdhhryyhhhhhy. What is prob of picking 1 h, 1 r, and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**5*g*g*g**(-5)*g*g)\/((g\/g**1*g)\/g**(1\/2))*(g**1)**(-43)*g**(-1\/7)*g**(2\/5) assuming g is positive.\nAnswer: g**(-2747\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -9*x + 14*x - 3 - x**2 + 1 + 5 + 7*x**2. Let c(j) = 13*j**2 + 6*j + 4. Let n(f) = -f**2. Let t(w) = -c(w) - 6*n(w). Calculate 6*s(k) + 5*t(k).\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 528 - 306. Let i = v + -77. Calculate the lowest common multiple of i and 6.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + ((-46)\/(-8) - 3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1280 a factor of 2304245104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 63 - 21. Let t = 42.000108 - i. What is t rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -202 and -15.\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 881 + -910. Which is the smallest value?  (a) 2\/77  (b) d  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -23*j**2 - 28*j - 45. What is the hundreds digit of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11155, 11091, 11027?\n\"Answer: -64*y + 11219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/3)*u**(8\/5))\/(u*((u*u\/(u\/u**(2\/3)))\/u)\/u)**42 assuming u is positive.\nAnswer: u**(-406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of 7*n**4\/12 - n. Let w(x) = 4*x. Calculate w(g(u)).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjrjjg. Give prob of picking 1 r and 1 j.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28776 and 3802656?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) + (sqrt(12) + 1*sqrt(12))*2 + sqrt(12) + sqrt(12))*2)\/(-4*(sqrt(8)\/(2*sqrt(2)) - sqrt(4))) + -4.\nAnswer: -4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 863 divided by -1?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2111 divided by 4.\nAnswer: -2111\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 11 = a - 16, -4*q + 59 = 3*a. Suppose -15*f + 31 + 29 = 0. Suppose -4*y - f*k = 0, y + y - 5 = -k. What is the lowest common multiple of q and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*p**2 + 2\/3*p**5 - 10\/3*p**3 + 8\/3 - 2\/3*p**4 + 16\/3*p.\nAnswer: 2*(p - 2)**2*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -686, 3, -5, -1.08, -0.2 in descending order.\nAnswer: 3, -0.2, -1.08, -5, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**3 + i**2 - 2*i + 2. What is the smallest common multiple of 9 and m(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54158?\nAnswer: 2, 13, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + g)*(46*g + 36*g - 131*g + 45*g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 3692, 5, 3, 0, 15 in descending order.\nAnswer: 3692, 15, 5, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*u + 2*u. Suppose 0*m + 5*z = -u*m + 3, 4*m = -z - 9. Let q be (40\/(-50))\/((-2)\/10). Sort q, 5, m in decreasing order.\nAnswer: 5, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-3 - -1) - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40 - 12. Let r = 3091 - 2842. What is the remainder when r is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -39*t + 11897. What is l(303)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m**2 - 221 - 6*m**2 + 223.\nAnswer: -12*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**3 + 19*t**2 - 19*t**2 - t**5 + (2*t**3 - t**3 - 3*t**3)*(-5*t**2 + 5*t**2 + t**2) + 25*t**5 + 12*t**2 - 12*t**2.\nAnswer: 22*t**5 + 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*p = -30*p - 80. Suppose 14*r + 18 = -p. What is the third biggest value in 0, -0.3, 1, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -287, -278, -257, -218, -155?\n\"Answer: b**3 + 2*b - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 496783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (11\/(-33))\/((-6)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -10*o**2 - 26. Let u(v) = 2*v**2 + 5. Let b(m) = 4*m**2 + 21*m + 7. Let c be b(-5). Give c*g(a) + 11*u(a).\nAnswer: 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 71278 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 30151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, 154, 8 in ascending order.\nAnswer: 0.03, 8, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15025 (base 6) to base 8.\nAnswer: 4531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v + 3*v = -3*m - 30, -v = -3*m - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 541078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 11*i**2 + 12*i + 12. Let t be h(-10). Let w(n) = -n**2 - 8*n + 1. Let z be w(t). Let j(r) = r + r**2 + 2*r - z - r + r. Calculate j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 7.1, -0.4, -5 in descending order.\nAnswer: 7.1, -0.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 50943 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -28*h**4 + 6736*h**3 + 221348*h**2 + 305304*h + 90720 = 0. Calculate h.\nAnswer: -28, -1, -3\/7, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wata when four letters picked without replacement from {t: 2, a: 6, w: 9, d: 1, u: 1}.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fjsj when four letters picked without replacement from mmtjjppjmmmsf?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/25*(4*95)\/(-4). Suppose 4*q - 151 - o = -5*y, -q + 52 = -5*y. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -z**6\/360 + z**3 + 3. Let f(t) be the third derivative of x(t). Determine o, given that f(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -2*a**5\/9 - 1124*a**4 - 4072598*a**3\/3 + 1465634464*a**2\/9 - 1428889984*a\/3 = 0.\nAnswer: -2584, 0, 3, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -0.25892\nAnswer: 0.077676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2, 46, 148, 320, 574?\n\"Answer: 2*c**3 + 17*c**2 - 21*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n + 1. Let b(z) = 9*z - 6. Calculate -b(v) - 5*g(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (48 - 1) + 25 + -36 + (1 - 2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77861.86 years to decades.\nAnswer: 7786.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1741049 is divided by 95?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*x**3 + 65*x**3 - 29*x**3 + 9*x - 9*x - 32*x**3.\nAnswer: -71*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -202 + 212. Suppose 6855 + 805 = p*o. List the prime factors of o.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 207668 by 51917.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - 355*k - 7466. Calculate x(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 + 19. Which is the nearest to -1?  (a) v  (b) 0.1  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 69, 133, 197?\n\"Answer: 64*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 20. Let n be (-96)\/(-256) - (-30)\/(-80). Solve 7*j - t*j - 9 = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-329 + 997 + 837)*((0 + 0 + 1)*(-s - 2*s + 2*s) - 2 + 2 - 2*s) in the form h*s + g and give h.\nAnswer: -4515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 97 and 187?\nAnswer: 18139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122 + 73 + -35 + 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.36983163 to four decimal places.\nAnswer: 0.3698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -203 - -205. Solve -2*g + 2 = j*n, -5*n - 3*g + 2 = g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1077 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 72.04 + -70.04. Let y = -9 - -9.4. Which is the closest to -2\/3?  (a) f  (b) y  (c) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81 = -107*c + 82*c + 481 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 28 - -47 - (2 + 1 + 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*y = 99*y - 390. Suppose -5*b + y + 90 = -2*f, -4*b - 3*f + 101 = 0. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 209 - 463d9?\nAnswer: -461d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 4*z + 3 = 6, -4*d - z + 46 = 0. Let l = d + 14. Solve 0 = 5*h + l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**5\/60 - 2*t**2 - 11. Let y(h) = -65*h**2. Determine y(j(k)).\nAnswer: -65*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26449?\nAnswer: 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 5 - 7)*(1 + a - 1) + 71 - 382*a + 190*a + 189*a in the form s + i*a and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -u - 3*u. Let m be (-6)\/28 - 6\/21. Let f be -3 - 2\/(-8)*14. Sort f, m, u in descending order.\nAnswer: f, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 73172389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.06 and -481417?\nAnswer: 28885.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 23\/1684?\nAnswer: 23\/1684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 5*j + 13 = 3*f, 0 = -f + j - 5. Let m = f - -4. Suppose q + 0 + 1 = -2*z, q - 2*z = -9. Which is the nearest to m?  (a) -2  (b) q  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93479 times 2.61\nAnswer: 243980.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of 7*n**4\/24 + n**3\/2 - 2*n**2. What is the lowest common multiple of 9 and a(3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.4 - 0.4. Let m = h + -0.29. Let o = 0.767 - m. Round o to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-12)*8073\/(-598).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26116279 to the power of 1\/2, to the nearest integer?\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(-2*l**2 + 7*l**2 - 3*l**2) + (-11 + 2*l**2 + 11)*(74 + 134 + 9) + 2*l**2 + 4*l**2 - 4*l**2.\nAnswer: 432*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1234 and 236.\nAnswer: 145612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 12:39 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -83*-0.1\nAnswer: 8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-2 + (sqrt(25)\/sqrt(5) + 1 - sqrt(25)\/sqrt(5)*-2))**2.\nAnswer: -6*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 - -17 - 6 - (2 + 15).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*r - 5 + 135. Suppose 0*f + f - 8 = 0. Let x = r - f. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccmc when four letters picked without replacement from hhhchchmhchhhqh?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -117*b + 1410. Determine s(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 17 - 6 - 38*x - 15 - 40*x + 74*x. Let m(v) = -v**2. What is m(c(o))?\nAnswer: -16*o**2 - 32*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2188173 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: What is the sixth smallest value in 1, -0.866, 2.3, -0.2, -3, 0.15?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 y, and 1 s when three letters picked without replacement from {y: 1, h: 5, r: 1, o: 5, s: 2, c: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5\/2  (b) -989  (c) 3\/5  (d) -5  (e) -12  (f) 5  (g) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -509462*n**3 - 52240*n - 72?\nAnswer: -3056772*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 AM and 1:59 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 14*b - 8. Let c be j(-13). Let r(i) = i**3 - 4*i**2 - 4*i + 13. Does 3 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 3876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -4*p**2 - 16*p - 5. Let d(u) = u**2 + 1. Let c(h) = 5*d(h) + s(h). Let v = -582 + 584. Let q(a) = -63*a**2 - 48*a**v + 113*a**2. What is c(q(o))?\nAnswer: 4*o**4 - 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 197517097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86.9 + 87.4. Are q and -2\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5000807 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*o - 40 = 5*y - 61*o, -5*y + 14*o = 49 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(76) - (-2 + sqrt(76)) - sqrt(76))*-3)**2.\nAnswer: -1152*sqrt(19) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*b**3*f - 2*b**3 + 309095*b**2*f + 28876*b**2 - 13*b wrt f.\nAnswer: -8*b**3 + 309095*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 135841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(-6))\/((-133)\/(-228)*(-6)\/(-21))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/((-2)\/(-2))*(-8)\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**3 - 4*h**3 + 4*h**3 - h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + l**2 + 2*l - 2. Suppose -204*a = 4740 - 36972. Calculate the remainder when a is divided by p(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.104482 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o - 13. Let m(r) = 3*r**2 - 126*r + 241. Let s be m(40). Let b(t) = -t - 1. What is s*l(q) - 4*b(q)?\nAnswer: 2*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 273, 272, 271, 270, 269?\n\"Answer: -w + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 52835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 6963505.1 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*f**4 + 5*f**3*u**3 - 109*f**2 - f*u**3 + 213*f - 5*u wrt f.\nAnswer: 36*f**2 + 30*f*u**3 - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-16)\/(-7) + 2\/(-7). Suppose o + o**2 - o - 2*o**u + o = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0461 - -0.0551. Let s = 4171 - 4172.991. Let r = b - s. What is the closest to -0.1 in r, -2, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of n + 0*n**2 + 0 - 1\/2*n**3 + 0*n**4 + 0*n**5 + 1\/6*n**6. Find the second derivative of r(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 6 = 14. Suppose -41 = -t*q + 29. Calculate the remainder when 41 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -570, -1139, -1708, -2277?\n\"Answer: -569*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - r**3 + 84*r**2 - 84*r**2)*(0 - r**2 + 0)*(-1 + 2 + 0).\nAnswer: r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 129482*g**2*m**2*s - 44*g**2*m**2 + 11*g**2*m*s - 39*g**2*m - 8*g**2 - 13*m**2 wrt s.\nAnswer: 129482*g**2*m**2 + 11*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 287034444 divided by -38.\nAnswer: -7553538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 180 = -4*x, -x + 2*x - 59 = 4*o. Suppose 4*v = 107 + 17. Let p = x - v. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-80)\/(-36) - 8\/36. Suppose -850 = -4*v + x*n, -v + 5*n + 205 = 15. Suppose z - 290 = -5*s + 3*z, -4*s + 5*z = -v. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1827 - -1931. What is the highest common factor of 130 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11 or -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 45346554600 to the nearest one million.\nAnswer: 45347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6169 or 6256?\nAnswer: 6169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27*k**2 - 52374*k - 2650440.\nAnswer: -3*(k + 52)*(9*k + 16990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9187*r**4 + 23944*r**2 wrt r.\nAnswer: 220488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -9*l**2 + 575*l + 64. Give a(64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.02679 + 0.027. What is k rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z + 4*s - 112 = 0, -16 = -2*z + 59*s - 56*s for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 9 + -8 - (-1 + -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**4 - 80*b**3 - 492*b**2 - 1136*b - 880.\nAnswer: -4*(b + 2)**2*(b + 5)*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = h, -4*k = -68*h + 65*h - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 0  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 0 = 2*u - 2*b - 6 + 3, 0 = 16*u - 4*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10829371 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*l**44)\/(l**(-2\/43)*l*l))**(6\/7))**(3\/5))**24 assuming l is positive.\nAnswer: l**(799632\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1194 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3*w + 9 = 0, 2*y + w - 2*w = 7. Let h be (-134)\/(-4) + (-2)\/y. Find the first derivative of 3768*q - h - 3768*q - 2*q**4 + 0*q**4 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4*x + 8, 6*x - 3*i + 11 = x. Suppose g + p = 7, -4*p - 1 = -4*g + 3. Suppose 0 = 3*w + 3, -g*w - 4 = -4*s + 2*s. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11729, 16025, 20321?\n\"Answer: 4296*m + 7433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -128 + 132. Calculate the lowest common multiple of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - 100 = -2*b - 12, 5342*q = 5344*q - 3*b + 122 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14087172 is divided by 1333?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 55856147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2\/5, -0.1, 5 in ascending order.\nAnswer: -5, -2\/5, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) 2  (c) -2  (d) -13  (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/13)\/((-1506)\/(-3263))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**5\/2 - 23247840*d**4 - 72061608622080*d**3 - 74456744328388280320*d**2.\nAnswer: -5*d**2*(d + 3099712)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) 5  (c) 3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-104)\/(-3) + 2\/(-3). Suppose -2*o - 18 = 5*s + 17, 3*o + 25 = -2*s. Let g = 30 - o. Is g != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**3 - 4*u + 4*u + (3*u - 4*u + 3*u)*(-15 - u**2 + 15) + 2*u**3 + 2*u**3 - 7*u**3 to the form a*u**2 + l*u + x*u**3 + k and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -558*j**5*r - 2*j**3 - 73*j**2 + 7*j*r wrt j?\nAnswer: -33480*j**2*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 3*n**2 - n. Let i(z) = -4*z**2 + 2*z. Let f = 4 - 10. Let h(b) = f*p(b) - 5*i(b). What is the second derivative of h(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11690 and 215187850.\nAnswer: 1506314950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z = 4*z + 15. Suppose -z*f - 2*c = -88, -125 = -4*f + c + 4*c. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35476 + 58*k**3 - 70946 + 35470 - 169*k**3.\nAnswer: -111*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-5))\/((-869)\/1185*(-222)\/33)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14*n + 7*n + 18*n)*(2*n**3 - 6*n**3 + n**3) as b*n**4 + d*n**3 + q*n**2 + w + s*n and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -64 + 562*t - 407*t + 219 with respect to t.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 514 and 14?\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 135.74 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6979*t**2 - 3*t - 1057 wrt t?\nAnswer: 13958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5*a - 8 = 0. Let x be -5*a\/(-5)*1. Solve 5 + 1 = 2*s - 4*z, 4*s - x*z - 18 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3*g - 3 = 0, -3*g + 4 = -5*a - 5*g. Let w = a + 2. Let q = -2\/3 + 7\/6. Are q and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.039 plus -268.54?\nAnswer: -268.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-157.5579\nAnswer: -63.02316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - (-2 - (-3 - -2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 5353, -2\/5, 1, -0.5 in ascending order.\nAnswer: -0.5, -2\/5, -0.1, 1, 5353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 + 27*l - 232. What is a(13)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 380, 5, 0.1, -2\/31.\nAnswer: -2\/31, 0.1, 5, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3*-0.7132\nAnswer: 2.1396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 3*g**2 + 52*g + 241. Give b(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 2. Let q be c(-9). Let d be 9 - 1 - 21\/q. Suppose 361 = 4*m + d*x, -m = 2*x - 54 - 37. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -102 + 101. Put -6, x, -7, -3 in decreasing order.\nAnswer: x, -3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 2817934460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 49, -448 in decreasing order.\nAnswer: 49, 1, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(-27 - 24 - 18)*(-3*y + 6*y + 3*y)*(1 + 2 + 1).\nAnswer: 1656*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3059 is divided by 341?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -40552.\nAnswer: 7\/40552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a. Let b(g) = 1081*g**2 - 161. Let y(k) = -20*k**2 + 3. Let w(r) = -3*b(r) - 161*y(r). Determine v(w(s)).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**2 + 5*z + 4. Let o(k) = -k - 26*k**2 - 25*k**2 - 22*k**2 + 74*k**2. What is -5*o(w) - q(w)?\nAnswer: -2*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, 1\/8, 4, -14.15, 7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 6 = 2*o. Solve -20 = -4*y + o*d, -2*d - 2*d = 2*y + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 8 = -3*s, g = -4*s + 5*g + 8. Let a be s\/18 + (-70)\/(-9). Solve -3*w + 5 + a = -q, -4*w - 2*q = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 76  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1 + ((-1974)\/182 - -12)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.963 - 0.037. Which is the nearest to -0.2?  (a) -4  (b) v  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -19307612, -38615215, -57922818?\n\"Answer: -19307603*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2312458 rounded to the nearest one thousand?\nAnswer: 2312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qbqbqbbqbbb. What is prob of picking 2 q and 1 b?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 + -21.8. Which is the closest to 25?  (a) 1\/2  (b) -3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88 and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2175 (base 12) to base 2\nAnswer: 111001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b**2. Let d(l) = l**2 + 2*l - 2. Let n be d(-3). Let y(s) be the first derivative of 0*s**2 + 0*s - 2\/3*s**3 + n. What is y(g(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.08663581508 - 0.02332618922. Let t = h - -304.93668848414. Let i = t - 305. Round i to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 251*n**2 + 14272*n + 372. Give a(-87).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63847446?\nAnswer: 2, 3, 13, 641, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -306.05 + 310. Let u = s + -3.45. What is the nearest to -2\/3 in u, 2, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 307025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 628066981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(98)*-3)**2 + (3 + sqrt(98) + 4 - sqrt(98)) + 5.\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/10)\/(3 - (-1 - (-64)\/12))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**6\/40 - 47*o**5\/60 - 5*o**4\/4 + 2*o**2 + 11*o. Factor d(f).\nAnswer: -f*(f + 15)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (j - 29*j - 5*j)*(2 - 1 - 2 + 6 - 2 - 7 + (0 - 1 + 2)*(3 + 1 - 3) - 4 + 3 + 2 + 6 - 4 + 1) in the form o*j + v and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12002 or -816077\/68?\nAnswer: -12002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1987.6989 months in centuries?\nAnswer: 1.65641575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 788949 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, -2, -0.2539, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 0. Let i = -174 + 176. Suppose n*g - 2*g = i. Put -2, g, -5 in descending order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*k**2 - k**2 + 3*k**2)*(1662*k**3 - 132297*k**2 + 132297*k**2).\nAnswer: -6648*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.645 to two decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**2 - h**2 - 2*h**2 + (h**2 - 2 + 2)*(2 - 2 - 1) + h**2 - 3*h**2 + 0*h**2 + 2*h**2 + 3*h**2 - 4*h**2 + (3*h - 3*h - 2*h)*(3*h + h - 6*h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 7*q + 0*q)*(-2 - 3 + 6)*(-5 + 1 + 3).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 - -4. Let f = j - -30.9. Let z = -16 - -15. Which is the fourth smallest value?  (a) 2\/7  (b) z  (c) f  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*k = 29*k. Let u(x) be the second derivative of 2\/5*x**5 + k*x**3 + 1\/4*x**4 - x + 0 + 0*x**2. Find the third derivative of u(g) wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + u + 9 = -u, -3*b + 12 = u. Suppose 2*m + 1565 = b*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*a = -39 + 236, -2*m - 4*a = 90. Let t be (1*-1)\/(1\/m). Let j = t - 19. What is the lowest common multiple of 8 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/13 - (-1)\/(13\/154). Suppose -2*m + k = 3*u + u, -m + 8 = 3*u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-18)\/(-27) + 2 + 4\/3. Put -335, -2, c in descending order.\nAnswer: c, -2, -335","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-25)\/((-125)\/27) - 43\/(-55)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -2001012110112122?\nAnswer: 2001012110112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 946783, 1893579, 2840375, 3787171?\nAnswer: 4733967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 + -0.2. Suppose 5*z - 2*g = 15, -z - 4*z + 4*g + 15 = 0. Which is the closest to -1?  (a) -2\/3  (b) z  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7237 + -7190. What is the remainder when g is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of r**3*y**2 + 108660*r**3*y - 605996894*r**2*y**4 - 1395*r**2*y wrt y?\nAnswer: 2*r**3 - 7271962728*r**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1997?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -338*d + 335*d + 21. Differentiate -6*b**2 - d*b**2 + 26 - 3*b**2 - b**2 wrt b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 11*d + 170. Calculate the remainder when m(26) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 151, -1, -3, 1.1, 0.07, 185?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -383*n + 381*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.700961 to two decimal places.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 1 - 4)*(2 - 1 + 0) + 6 - 1 - 2)*(5 - 4 - 4 + 2*p).\nAnswer: 4*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 11) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2648, 53, -80, 1 in decreasing order.\nAnswer: 2648, 53, 1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3661 and 272483?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/2*24\/(-9). Suppose 0*p = 12*p - 24. Solve f*w - 12 = 4*b, -p*b + w + 0 = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27951?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 24511 = -24387 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-6)*1\/(-2). Let u = 1.5 + -1.5. Sort r, u, 0.4 in increasing order.\nAnswer: r, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -659*u*x**5 + 47*u*x**4 - 7*u*x**2 - 240 wrt x?\nAnswer: -39540*u*x**2 + 1128*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.9 - -0.1. Let x = 15 - z. Let o = x + -12.7. Sort o, -1\/4, 2 in ascending order.\nAnswer: -1\/4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -4*i. Solve i = -5*r + 25, -3*r - 2*r + 16 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2776510)\/45 + 2\/9. Let n = 155712 + i. Suppose -2*b + 3*d - 7*d - 93984 = 0, -2*b - n = -3*d. Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3061000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 9. Suppose 0 = v - 1 - r. Solve 2*h - v*j - 16 = 0, -2*h + 2*j = 6*j + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 9:03 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 + 7*x - 38. What is b(-9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in 0.4, 1\/7, -3\/728, 0.2, 1\/6?\nAnswer: -3\/728","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*b = 942 + 996 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 1)*(-2 + 2). Suppose z*g + g = -4*u + 33, 50 = 5*g - 3*u. Calculate the highest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (-1 - -266) + 2 + -10 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2127144738 to the power of 1\/3, to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1509122024 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1190924670 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (20263\/322 + (-12)\/28)*120\/100?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/1086 and -37\/8.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuoo. What is prob of sequence ouu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -359 - -376. Solve 12 - m = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 7*i**2 + 3*i + 3. Let x be o(8). What is the greatest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 4:32 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 33449745\/26 less than or equal to 1286529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*m - 288 = 151*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 62*s - 671. Let u be h(11). Solve -2 = -u*v + 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97878437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 544 = 16*n + 4*a, 72 = n + a. Suppose 0 = -2*l + 50 + 110. Calculate the greatest common factor of l and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117*o + 59*o - 840 = -65*o. Calculate the remainder when o is divided by (-3 + 2)\/(2\/(-82)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -331*v**2. Let r(g) = -18*g**2 + 11*g**2 + g**2 + g**2 + 9*g**2. Calculate r(m(b)).\nAnswer: 438244*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 34\/(748\/(-66))*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (26\/(-24) - (-9)\/12)\/(4\/(-36)). Put 4, b, 45, 37, -1 in ascending order.\nAnswer: -1, b, 4, 37, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 5*a = 17, -13 + 38 = 5*s + 5*a. Let u be (s\/(-20))\/((-3)\/(-15)*-1). Sort u, 2\/11, 4, 0.2 in decreasing order.\nAnswer: 4, u, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9123 is divided by 234.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -670*g**2*p + 11*g*p - 31*p wrt g?\nAnswer: -1340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 1 - 2*x**3 - 8*x**2 - 2*x - 3*x + 0*x**3. Let a be o(-6). Suppose 0*p + 4*p - a = -3*t, -t = -p - 70. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4 = 8. Let o be ((-16)\/(-12))\/((-4)\/i). Solve 2*v + 4 = 2*k, -v = -o*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130 + 2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a + 32. Let x be q(-10). Let h be ((-3 - -75)\/x)\/(-1). Solve 0 = h*j - 15 - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -4839.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**3 - 2904*k**2\/13 - 43146*k\/13 - 1000 = 0 for k.\nAnswer: -13, -4\/13, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3*t**2 - 15*t - 30. Suppose 2*q - 2*p = -22, -2*p - 5 = 15*q - 14*q. What is the units digit of i(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from vcvcccccccccccvccvc.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 181426869 to the nearest integer?\nAnswer: 13469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 - 36. Let l(w) = w**3 + 12*w**2 + 12*w + 10. Let p be l(q). Which is the nearest to -16?  (a) -2\/3  (b) p  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/(-10)*((-260)\/8)\/(-13). Suppose 4*a - 32 = -0*a + 3*r, -4*r - 36 = -s*a. Let h(x) = -2 - 6*x + x - x**2 + 7 + 2*x**2. What is h(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -s + 2. Let c(r) be the first derivative of 3*r**2 - 2. Is c(s) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41 (base 8) to base 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1\/2, -1, -3\/7, -4\/95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -7. Suppose 0 = n*i - 6 - 4. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -8106124?\nAnswer: 8106127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (198\/(-4455))\/(4\/(-60)). Factor -2\/9*k**3 + 4\/9 - 2\/9*k**4 + 10\/9*k + d*k**2.\nAnswer: -2*(k - 2)*(k + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i - 3 + 0 + 3. Let f(j) = 6*j**2. Give f(p(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 132 + 123. Does 84 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 2 - 8. Let v be (-4)\/(d + (-3 - 0)). Suppose -k - k = -v. Calculate the highest common factor of k and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -48 - -488222?\nAnswer: 488185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a**2\/3 + 7992*a + 1023572\/3 = 0. What is a?\nAnswer: -5951, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 5\/2*b**2 + 0*b + 6. Let d(m) = 4*m. Give c(d(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5*x + 0*x - 22 = 0, 2*z - 5*x = 31. Which is the third biggest value?  (a) 2  (b) 0  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 4*s**2 - s + 4. Let w be 2\/2*1*3. Calculate f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z + 744 - 744.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6)*3)\/((-345)\/138).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 282 = y. What is the remainder when y is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.6 - -3.4. Let j(f) = f + 15. Let u be j(-8). Suppose -3*y + 1 = u. What is the nearest to 2 in b, y, -3\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**4*v*v**1*(v\/(v\/(v*(v**(-4)\/v)\/v)))\/(v**(-3)*v))\/(v**(-2\/7)\/v**(-2\/15)*v**2*v**(-4\/7)*v) assuming v is positive.\nAnswer: v**(-659\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 + 4*u**2 - 2*u**2)*((u - 2*u - u)*(-4*u + 2*u**2 + 4*u) - 2*u**3 + 3*u**3 - 2*u**3 - 6*u**3 + 2*u**3 + u**3 - 5*u**3 - u**3 + 4*u**3).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -767.9, 2329, 3 in ascending order.\nAnswer: -767.9, -5, 3, 2329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -22160, -22170, -22192, -22232, -22296?\n\"Answer: -v**3 - 3*v - 22156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191 - 177 + 368 - 17664*n.\nAnswer: -17664*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -120658 divided by 60329.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - r + 3)*(-2*r - 10*r - 3*r) to t*r**2 + d + v*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84 and 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63 and 1701?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -82.9 - -83. Sort i, 4, 0.3, -2\/3 in decreasing order.\nAnswer: 4, 0.3, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.75972s in microseconds?\nAnswer: 32759720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + -10. Put -2, 1, y, 11 in ascending order.\nAnswer: -2, 1, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 7, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 375 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - t - 2. Let g(l) = 7*l**2 - 5*l - 2186. What is g(d) - 5*x(d)?\nAnswer: 2*d**2 - 2176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -7127052 and 227.21.\nAnswer: -7126824.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**3\/5 + 84*n**2 - 7752*n\/5 + 37184\/5.\nAnswer: -4*(n - 83)*(n - 14)*(n - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - (700\/(-119) - -3). Which is the smallest value?  (a) 3  (b) -0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 10:53 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1962896, -1962911, -1962926, -1962941?\nAnswer: -1962956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-30)*(-375)\/50*3*(-170)\/(-6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.1122 + 1.1122004901. What is d rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 8. Let q = 3 - -2. Suppose q*s - r = -5*r + 70, 2*r = 10. Put d, 2, s in decreasing order.\nAnswer: s, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 10. Let r = -37\/28 + 11\/7. Let d = 1.9 + -1.9. What is the smallest value in r, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i\/(i**(-4\/9)\/i*i))*i**(2\/9)\/i*(i*i**(-4))\/i**0)\/((i*i**(2\/5)\/i*i*i)\/(i*i**(-8)))**(-32) assuming i is positive.\nAnswer: i**(13301\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17141\/4 - -4285. Put m, -4, 3\/2, 3 in decreasing order.\nAnswer: 3, 3\/2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*j - 3*j - j)*(1 - 1 - j) + (1 + 2 + 0)*(-4*j + 4*j + j**2) + (17 - j - 4*j - 14)*(20*j - 3*j + 19*j) to n*j + c + v*j**2 and give v.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z - 22 = 2*v, -535*z - 10 = -4*v - 540*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7555\/3, -0.023, -0.5, -1.1 in ascending order.\nAnswer: -7555\/3, -1.1, -0.5, -0.023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zc when two letters picked without replacement from zczbcllbllzczc?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 5*y - 85 - 45 = 0, 3*k - 15 - 11 = -y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.04  (b) -1\/13  (c) 2  (d) -0.4  (e) -213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -131*v - 259. Let t(o) = -158*o**2. What is f(t(d))?\nAnswer: 20698*d**2 - 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -13068 divided by -4\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - k = -0*k, 0 = -4*k. Let c be (-48)\/10*30\/(-4). Suppose -c = -0*w - 3*w. Solve 2*u - 2 + w = b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5230781464 less than 25?\nAnswer: -5230781439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + 3))**2 + sqrt(72) + (sqrt(72) + sqrt(72)*1)**2 + (-1*sqrt(126))\/(sqrt(7) + (sqrt(189)\/sqrt(3))\/sqrt(9) + sqrt(7)).\nAnswer: 5*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 - s + (-2 + 4 - 3)*(-5*s + 2*s + s) + 4*s - 2*s - s + 1 - 1 - s + (-1 + 3 - 5)*(-2*s + s - s + (-120 + 151 + 81)*(3*s - 3*s - 2*s)).\nAnswer: 679*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8698*s + 8537*s + 3381 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"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: What is the third root of 3723483 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 2*w**2 - 15. Give d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*z + 15*z = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -53*b**3*n**2*q**3 + 27*b**3*n*q + 27*b**3*n - b**3*q**3 + 950*n**2*q**3 - n*q**3 wrt n.\nAnswer: -106*b**3*q**3 + 1900*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-100)\/3)\/(6\/(-9)). Find the common denominator of -9\/8 and (w + 3)*1\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 202418261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 3*w**3 + 29952*w**2 + 2081940*w = 0.\nAnswer: -9914, -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 11545 + -686464046\nAnswer: -686452501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -146863 divided by 5\nAnswer: -146863\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 181.06 - 186. Let d = -3.5 - k. Let s = d - 0.44. Which is the closest to 0?  (a) -4  (b) s  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 3*c + b + 2, 3*c = 3*b + 18. What is the third derivative of 0*h**5 - h**c + h**5 - 4*h**5 - 2*h**2 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -65  (c) 0  (d) -34\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g = -25*g + 136 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 356362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 21\/2 of a second?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24600, 24628, 24658, 24690, 24724, 24760, 24798?\nAnswer: 24838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - 17*f - 35 + 91 - 32.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 minus -7857500142554.2?\nAnswer: 7857500142547.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/258 and 561\/594*(-6 - (2 - 0)).\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(1\/2)*w*w)\/w)**38\/((w\/(((w**(-6)*w*w)\/w)\/w*w*w)*w)\/(w*w*w\/w**(6\/11)*w)))**(-18) assuming w is positive.\nAnswer: w**(-18306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -126*v - 262. What is d(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-3506.08.\nAnswer: 1402.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 2:51 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10*(19 - -1 - (-7)\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 164136, 328261, 492386, 656511?\nAnswer: 820636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 4. Let a = p + 2. Is a\/(-28) + 621\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000001 (base 2) to base 6.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 0*q - 10 + 21 - 10 - q. Let m(s) = -3*s + 2. What is 7*l(g) - 2*m(g)?\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 10 + 15. Suppose 4*p - 3 = s - 2*s, -10 = -g*p + 5*s. Let m(n) = -4*n + n + 64*n**2 + 2*n + 21*n**2 - 94*n**2. Give m(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8980 - -614?\nAnswer: -8366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10454*m - 18613?\nAnswer: -10454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 72320659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-12)*-3)\/(15\/10). What is the closest to 0.1 in -2, w, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91010.48g to tonnes.\nAnswer: 0.09101048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -1, 602, 1, 2 in descending order.\nAnswer: 602, 2, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y. Let d(f) = -278 - 20*f**2 + 76*f**2 - 28*f**2 - 7*f + 302 - 30*f**2. What is b(d(s))?\nAnswer: 2*s**2 + 7*s - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45 + 11 - 88 + 3 + r.\nAnswer: r - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-60 - -64 - (-220)\/(-12))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (((-27)\/60)\/((-6)\/(-4)))\/((-114)\/304)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (85 - (-60 - -28)) + -4 + 3 + -9\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.9674192 kilograms?\nAnswer: 0.0009674192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 0 + 0)*(-1 + 4 - 1)*(8*z**2 + 15*z**2 + 17*z**2).\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 13*o**2 - 3*o - 19. Let f be s(-13). Is f\/(-2)*(-472)\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -29  (b) -4  (c) -7\/4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + -1)\/(2 - 3). Let n(c) = 2*c**2 - 2 - a + 3. Let m(p) = -5*p**2. Give m(n(s)).\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 120200 (base 4) in base 5?\nAnswer: 22233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/(-52))\/(1\/(-12)*7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-127 - -122) + (-3 + 6 - (-32 + (-9 - -4)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*s = 33*s + 488. What is the closest to 0.2 in s, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 41*d - 6377. Determine u(-103).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14\/3?  (a) 2  (b) 1.458  (c) -4  (d) -5  (e) 5  (f) -0.39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from {z: 2, s: 6, g: 5}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5, -2*r - 14 = -k - 2*k. Suppose 0 = -2*l + 4*i + 50, -i + 15 - 35 = -l. Calculate the remainder when l is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.83, -0.044, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v**2 + 6*v + 2. Let b(r) = r**2 - r - 1. Determine 6*b(o) + x(o).\nAnswer: 3*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1270 and 71501.\nAnswer: 715010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24852*k = -25444*k + 23680 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (65\/(-15) + 4)*-9*1. Solve d = 4*q + 2*d - 11, 5*q = y*d + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -161*k**5 + k**4 - 15*k**3 - 39250*k**2?\nAnswer: -9660*k**2 + 24*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.9 > 338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*-3*(-3)\/(-9)*2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1*(sqrt(1216) - (sqrt(1216) + -1 + sqrt(1216))*3)**2 - ((sqrt(1216) - (-4*sqrt(1216))**2) + -2 + 4))*3.\nAnswer: -598356 + 2976*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -4 + 0 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2. Suppose 3 = -3*x + 6*x. Let d(j) = 4 - 4 + x. Let u(w) = 2*w**2 - 4. Let i(g) = -4*d(g) - u(g). Determine i(r(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -145 (base 6) in base 7?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -501.36 to 0 decimal places.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 6:12 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2 - 2 - l)*(0*l - 4*l + 2*l) + 2*l**2 - 2*l**2 - l**2)*(2 + 2 - 3) in the form r*l + t*l**2 + u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*u + 3*u - 3*u)*(-4 - 1 + 2) - u + u - 2*u + u - 4*u + 4*u + (3*u - 7*u + 2*u)*(1 - 1 + 2) + 2*u - 2 + 2 - u - u + 0*u - 3*u - 2*u + 6*u.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -66*f**2 - 286*f - 10. Suppose -k + 2*k = -c + 8, -2*c = -3*k - 1. Calculate the remainder when a(-4) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4628 + 4628.2. Let k = 13.7 - 14. Sort -3, 19, v, k in decreasing order.\nAnswer: 19, v, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-15)*p)\/(p*p\/(p*p**(-2\/25))))\/(p*p**15*p\/p**15*p) assuming p is positive.\nAnswer: p**(-452\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 4*v - 12, 5*c - 14 = -34. Let k(p) = -p**3 - 2*p**2 + p - 4. Let a be k(-3). Calculate the highest common divisor of a and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {d: 4, x: 1, j: 8, y: 1, v: 1, z: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, m: 7, s: 3, v: 3, k: 3}. What is prob of picking 2 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 take away -32498108?\nAnswer: 32498078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 595040839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**3\/5 + 896*h**2\/5 - 18558*h + 435780 = 0. What is h?\nAnswer: -538, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41505 - 41505 + 806*d.\nAnswer: 806*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of t**5\/30 + 7*t**4\/24 + t**3 - 2*t**2. Is q(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7777\/308 + (3\/6 - (-39)\/(-52)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (72\/117)\/(11\/21 - 26\/(-182)). Factor 2\/13*v**4 + f*v**3 + 8\/13 + 2*v**2 + 24\/13*v.\nAnswer: 2*(v + 1)**2*(v + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40244198.\nAnswer: 2, 89, 107, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 22*d**2. Let t(r) = 73*r + 5. Let m(o) = -918*o - 63. Let a(v) = -5*m(v) - 63*t(v). Give a(b(z)).\nAnswer: -198*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 7 = -3*u. Solve -u*m = m + 5*y - 24, -4*m + 2*y + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 8*k**3 + 8*k**2 - 9*k. Let u(p) = -7*p**3 - 7*p**2 + 8*p. Calculate 7*u(b) + 6*y(b).\nAnswer: -b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -62 + 74.5. Let x = h + 1.2. Let z = x + -12. Round z to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 52*w - 2644. What is the lowest common multiple of 76 and j(64)?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1b (base 15) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670584 is divided by 1530?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 7.365, 0.13, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172 is divided by 2\/8 + 8118\/328?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.2 - 1.3. Let a = 1.1 - m. Which is bigger: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d - 2. Let l be b(0). Let i be ((l - -4) + -4)*-1. Solve -c - 5 = x, -x = c + i*x + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-14)*259\/74.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 327 a factor of 6673239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 22464694 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 6*u = 27, -6123*k + 5*u - 22 = -6127*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.98486 to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 23988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of 1\/30*u**6 + 0*u**3 + 0*u**5 - 1\/6*u**4 + 0 + 1\/2*u**2 + 8*u. Factor j(a).\nAnswer: (a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 766, 1515, 2278, 3061, 3870, 4711, 5590?\nAnswer: 6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 10:59 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 394*j - 114*j - 5834 - 1726 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.899 + 0.85. Let p = b - 2.991. Let o = -3.039869 - p. What is o rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 3078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7355942 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -27, 3 in increasing order.\nAnswer: -27, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 20*s**3 + 6328*s**2 - 3812*s - 2536 = 0?\nAnswer: -317, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6*f + 29. Let k(r) = -2*r**3 - 2*r**2 + r. Let z be k(-2). Let l be s(z). Let y(u) = -u**3 - 6*u**2 + 9*u - 8. What is y(l)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20.01, 5, 8\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 56 = -3*o, -2*o + o + 28 = -2*s. Suppose -3*k + o = 2*k. Differentiate 6*l**4 - 3*l**k - 3 - l**4 - 4*l**4 wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 4*y - 21*y + 22 - 72 + 24.\nAnswer: -17*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.18  (c) 13  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 1 + (3 - 6 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cfccicccccccfg. Give prob of picking 1 f and 1 c.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 1808776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 70 = 2*i, -2*k = -0*k + i - 70. What is the first derivative of k*s - 8 - 5 - 45*s wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (120\/(-75))\/(((-4)\/(-5))\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 8*w - 5. Let v(k) = -15*k + 9. Let p(d) = 5*m(d) + 3*v(d). Let a be 91\/35 - 2\/(-5). Let n(o) = 5*o - a + 1 + o. What is 3*n(x) + 4*p(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*u = 33, 0 = -28*l + 33*l - u - 21. Put -8, -1, -17, l, -3 in increasing order.\nAnswer: -17, -8, -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/4)*y\/((y**4\/y)\/y*y))\/((y*y**0)\/(y*y\/(y**(3\/2)*y))) assuming y is positive.\nAnswer: y**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4262502 and 2796?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -6*f**2 - 2*f - 3. Let r = -138 + 140. Suppose 5*x + 2*i + r = 7*x, 0 = -5*x + 3*i - 1. Give w(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1669 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 23*k**2 + 50*k - 9. Let t(g) = 9*g**2 + 25*g - 4. Calculate 2*s(p) - 5*t(p).\nAnswer: p**2 - 25*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1351, 2701, 4051, 5401, 6751?\n\"Answer: 1350*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000246315596 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 12) to base 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 4. Suppose p = 5*i - 832 + 137. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2 and -19.48.\nAnswer: -19.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9573*g**2\/4 + 143591*g\/4 - 15.\nAnswer: (g + 15)*(9573*g - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -45 in 4, -0.47, 2\/7, -1\/3, 195\/2, 1?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - 6*a**2 + 5*a - 6. Let t be x(3). Let r be (2\/2)\/((-6)\/t). Suppose -r*z = -8*z. Solve -s + 4*s - 15 = z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 - 373405.\nAnswer: -373446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -48 + 34. Let o = -14.3 - g. Which is the third smallest value?  (a) o  (b) 1\/2  (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5619, 5455, 5177, 4779, 4255, 3599, 2805?\nAnswer: 1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -948 and -74622?\nAnswer: 70741656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2084959779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o + 3*o - o**3 + 15 + o - 4*o**2 + 2*o. What is the smallest common multiple of i(-4) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1382\/1313 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 86794161 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -117*h + 9. Let a(r) = -29*r + 2. Determine 9*a(x) - 2*q(x).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 - 0.2. Let h = -0.25 + -0.15. Let k be ((-4)\/9)\/(4\/12). What is the nearest to 0 in k, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3316\/(-7770) + 6\/14. Let z be (-382)\/(-444)*3\/120*244. Let n = o + z. Calculate the common denominator of 52\/21 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2751.\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*n**2 - 5*n**2 + 14*n**2 - 5*n**2 - 2*n + 2 - 3*n**4 + n**3 to u*n**3 + g*n**4 + a*n**2 + x + m*n and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2657852 less than -0.8?\nAnswer: -2657852.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 92086170 divided by 16130?\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*n**3 + 63*n**3 - 24*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3 + 6*o**2 - 66*o - 70.\nAnswer: 2*(o - 5)*(o + 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-861)\/12 + -4)*-8 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3366*z + 3047 wrt z.\nAnswer: -3366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6f - 148c8?\nAnswer: -14859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1668 + -20732. What is r rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 34 - 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - a - 18. Let t = 9751 + -9751. Give d(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w**2 - 361*w - 3705. Calculate g(-108).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**3\/3 - 410*w**2\/3 + 4025*w\/3 - 10000\/3 = 0.\nAnswer: 5, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/16812 and 85\/675282?\nAnswer: 4051692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 246*i - 10188. Let n be u(41). What is the second smallest value in n, -3\/8, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n - 6*n - 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5900\/1680*6 + 3\/(-42). Solve i = -3, 22*i - 24*i = 3*t + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from ssssvsvv.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 151*l - 23. Let f(t) = -25*t + 1. What is -10*f(d) - 2*k(d)?\nAnswer: -52*d + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 830*w - 8268. Let m be d(10). Calculate the highest common factor of 212 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 24. Suppose 0 = s*z - 36 - 16. Calculate the highest common divisor of z and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 45*m - 852. Let b be g(15). Sort b, -17, 0 in ascending order.\nAnswer: -17, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11122 + -5?\nAnswer: 11117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22719577 is divided by 6311?\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6840 (base 9) in base 16?\nAnswer: 13c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1656.79 plus 3.8?\nAnswer: 1660.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86.009823ns to hours.\nAnswer: 0.0000000000238916175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqffftt. Give prob of picking 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -4*u + 142, 112 = 5*u - 3*w - 71. Suppose -5*j - u = -3*j. Let y = j - -51. 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 a = -608 - -614. Solve 20 = 2*b - a*b - 4*g, 5*g = -15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 4*b**2 + 11*b - 11. Let o(a) = 3*a**2 - 3*a - 2. Let i(p) = p**2 - p - 1. Let r(x) = -5*i(x) + 2*o(x). Give -2*h(w) - 22*r(w).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000627667 rounded to 6 dps?\nAnswer: 0.000628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 3*o - 4. Solve 11 + 1 = -3*c - 3*m, -3*c - o*m - 16 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -127033, -126935, -126771, -126541, -126245, -125883, -125455?\n\"Answer: 33*y**2 - y - 127065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 1)*(-90)\/60.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 9:31 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.82 + -1.93. Let x = o + 2.11. Which is the closest to -0.9?  (a) -1  (b) x  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 10, 21, 36, 55, 78?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*u + 0*u + 10*u to the form x + h*u and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 432144 + 67146 = y, -4*z + 5*y + 1459995 = 0. Suppose -q = 5*u - z, 0 = 5*q + 41 - 16. Round u to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 8\/25 of a tonne?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*s + 103*s = 1656 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 75*v - 83. Calculate z(3).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20.5 + 21. Let j = -0.34 + -0.06. Let z = m + j. Which is the second biggest value?  (a) 5  (b) z  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -112*i**2 + 244\/3*i**3 + 4\/3*i**5 - 56\/3*i**4 + 0 + 48*i.\nAnswer: 4*i*(i - 6)**2*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 64 + -26 + -35 + -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*l**3 - 7*l**3 - 6*l**3 - 2 + l**4 + 21*l**3 + 0 + 3*l**2 - 2*l to u*l**3 + z*l**4 + n + x*l**2 + y*l and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.05  (b) 2\/7  (c) 7  (d) -1066  (e) 4  (f) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.67*68\nAnswer: 45.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u\/(u*(u*(u\/(u*u\/((u**(-10)\/u*u)\/u*u)))\/u)\/u*u))\/u)\/(u\/(u\/(u\/(u\/((u\/(u\/(u**(-2\/23)*u)))\/u))))) assuming u is positive.\nAnswer: u**(255\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 4690?\nAnswer: -23450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1609 - -1614. Let f = -30 - -32. Solve -f*x = 5*n + 2, -3*n + h*x + 3 = 2*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 752213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -n + 2*n - 16, 2*n - 7 = -i. Let r be 6 + 3*(-2)\/2. Suppose -4*q + 7*v = r*v - 40, 4*v = 3*q - 32. What is the least common multiple of q and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 223709664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0217316789 to 6 decimal places.\nAnswer: -0.021732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -3*r + 53. Let z be t(17). Let h(p) = 4*p - 1. What is h(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 56*i + 5390 - 5054 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 19060915 divided by -3812183?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 53326 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -515\/736682?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2337*o**3 - 726*o**3 + 9*o**2 - 299149 + 299149 + (-3*o + 3*o + o**2)*(-4*o + o + o) + 0*o**3 + 0*o**3 + o**3.\nAnswer: 1610*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -142648444 - 0.4?\nAnswer: -142648444.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5335646351 + 5?\nAnswer: -5335646343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/11, 3, 0.5, 2\/41, -2, 0.2.\nAnswer: -2, 2\/41, 0.2, 0.5, 7\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -45707 (base 8) in base 10?\nAnswer: -19399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1308014, 1308026, 1308038?\n\"Answer: 12*a + 1308002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 47 + -33 - (-13 - -5) - (80 + 1)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 13*v**2 + 4*v + 4. Let t be (-63)\/(-2) + (-1)\/(-4)*2. Let y = -44 + t. What is the remainder when g(y) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 117 and 113581?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.5 + 4.5. Which is the smallest value?  (a) 15  (b) v  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2757, 2755, 2753, 2751?\n\"Answer: -2*v + 2759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 257779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 6*p**2 + 9*p - 2. Let z = -54 + 49. Let n(j) = -9*j - 140 + 143 - 6*j**2 + 0*j. Let a(d) = z*n(d) - 6*h(d). Suppose a(x) = 0. Calculate x.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/10 and (1260\/(-88))\/9 + 0.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3488.00008 + -3489. Let s = -0.3 + 1.3. Let d = g + s. What is d rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(567) - (-2 + sqrt(567))*-3) + sqrt(567)*-3*2)**2.\nAnswer: 432*sqrt(7) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*l - 13 = -123, 2*g = 4*l - 236. Let w be (-88)\/g - (-40)\/(-380). Which is the closest to -1\/4?  (a) w  (b) 3\/10  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, c: 4, y: 5, r: 8}. What is prob of sequence cc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/20628974 and 113\/12.\nAnswer: 123773844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 0 - 43)*(-397 + 77*q - 392 + 791) to the form l*q + b and give b.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.791 rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/510 and -19\/9180.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9712421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-99)\/(-13167)*-741*1\/(-13)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252205 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7232218081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + p**3 - p**3)*(0*p - 3*p + 2*p).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 146 + -132. Let u = -3\/14 + 27\/28. Calculate the common denominator of u and (-14)\/(-72)*250\/i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 + 1. Let i(l) = -192*l**2 + 6*l - 3. What is -i(p) - 3*o(p)?\nAnswer: 195*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29*99\/(-10527)*1\/(-36)*-4.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/52*(-40)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3066*p - 3071*p = 9*r - 91, 3*p - 5*r - r = 9 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*g**2 - 1716*g + 184041\/2.\nAnswer: (4*g - 429)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**8*p)\/p*p**(-1\/7))\/((p\/p**(-2))\/(p*((p*p**(-13))\/p)\/p)) assuming p is positive.\nAnswer: p**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - y**3 + 0)*(23687 - 228*y - 23687 + (-1 + 2 + 0)*(2 - y - 2))*((-2 + 1 - 1)*(-1 + 4 - 1) + 6 + 12 - 5).\nAnswer: 2061*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.045  (b) 9  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 4*(sqrt(125) + (-6*sqrt(125)*1)**2 - (sqrt(125) + (2*1*sqrt(125) - sqrt(125)) - sqrt(125))).\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -645, -1282, -1917, -2550?\nAnswer: -3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is bba - -4883?\nAnswer: 5881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 25\/2 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304*s + 320*s = -112 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of 0*v**3 + 0 - 1\/48*v**5 + 1\/168*v**7 + 0*v - 1\/240*v**6 + v**2 + 1\/48*v**4. Find k such that q(k) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 16 = 2*v - 2, -5*v = -5*j + 30. Suppose 9*f = j*f + 42. Let d be f\/4*136\/51. Solve w + x = d, -3*w + 4*x = w + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 465019583.\nAnswer: 7, 331, 200699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 8642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 278 and 75423?\nAnswer: 20967594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(55)\/(sqrt(5)*5) - sqrt(77)\/(sqrt(7)*-4 + sqrt(7)) - ((4*-1*sqrt(110) - sqrt(110)) + sqrt(110))\/(2*sqrt(40)\/sqrt(4)))**2.\nAnswer: 16784\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-68)\/(-8) + 0)*2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -46, -83, -116, -145, -170, -191?\n\"Answer: 2*y**2 - 43*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12880 or -12882?\nAnswer: -12882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and 199264737209.\nAnswer: 199264737208.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1175, -2, 1\/3.\nAnswer: -2, 1\/3, 1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 235241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 7 = -5*d + h, 0 = -d - h + 3. Suppose 6*i = k + i - 9, 0 = -k - d*i. Suppose -3*r = -8 - k. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/7 and -37\/161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 45*m**2 + 6*m - 245. Calculate the remainder when 66 is divided by k(45).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -210*t - 2619. Calculate p(-14).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 31122*m*o**2 + 3501*o**2 wrt m?\nAnswer: 31122*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.48802mm to centimeters.\nAnswer: 1.748802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 34*o + 3*o + 61 = -9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/16 - (-26)\/12. Let f = -216.2 + 216. What is the nearest to 0.6 in f, 2\/17, g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.127822337 less than -0.005?\nAnswer: -0.132822337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**3 + 128*j**2 - 2990*j - 3116 = 0.\nAnswer: -82, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (18 - (-30)\/(-2)) + 7992. Calculate the greatest common factor of 260 and d.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 7 = -0*c - t, -2*c + 5*t = 5. Sort 3, c, -1445, -2, 4.\nAnswer: -1445, -2, 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 3\/7  (b) 5  (c) 5\/6  (d) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3848100 divided by -2525?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, j: 2, n: 8, x: 2}. Give prob of sequence fn.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 782789583.\nAnswer: 3, 131, 1301, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 + 11*z**2 - z - 4. Let c be m(11). Let y be (-5 + -1)*c\/45. Let a(j) = 14*j**2 - 6 + 3 + 4*j - 7*j**y - 8*j**2. Give a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1674665, 3349205, 5023745?\n\"Answer: 1674540*q + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1243, 1944, 2645, 3346?\n\"Answer: 701*h + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 5*j**2 + 5*j + 4. Does 29 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -22*c - 4. What is the remainder when t(-10) is divided by 25 - (369\/82)\/(-1 - (-15)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -4009*r**3\/6 - 3*r**2\/2 - r. Let s be g(-6). Let n = -48051 + s. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 80 - 73. What is the smallest common multiple of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -240*c + 3. Let i(w) = -11517*w + 143. What is -286*b(q) + 6*i(q)?\nAnswer: -462*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.329 + -0.159. Let a = 0.76 - s. What is a rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**3\/(f\/f**(1\/2)))**(-20) assuming f is positive.\nAnswer: f**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -41, -89, -141, -197, -257, -321?\n\"Answer: -2*d**2 - 42*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 - 7*r + 8. Let z be b(6). Suppose -4 = -k - z. What is the third derivative of 4*i**5 - 7*i**2 - k*i**5 + 2*i**5 - 7*i**5 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 696*-0.07087.\nAnswer: -49.32552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -94, -128, -162, -196, -230, -264?\n\"Answer: -34*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2022 (base 3) in base 11?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 6*v - 4 = 0. Let a(n) = -155*n**2 + 1. Let g be a(v). Let h = -110 - g. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.5283 - 0.4717. Which is the fifth biggest value?  (a) n  (b) -3  (c) -0.4  (d) 63\/2  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 167.\nAnswer: 1, 5, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 128849 and 932?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28.1 - 28. Is k bigger than -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.371 - -0.859. Let a = 39.97 + k. Round a to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/13  (b) 5\/3  (c) -57722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*x + 13*x - 11*x + 3*x**2 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 152*h + 1946. Let u be z(-15). Which is bigger: u or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {i: 6, o: 1, d: 2, z: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4458, -4490, -4538, -4596, -4658, -4718?\n\"Answer: h**3 - 14*h**2 + 3*h - 4448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 + 3891*v - 1283820. What is n(364)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from eghezghrghf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 763 (base 8) in base 15?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 19420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 541 = -u + 3*i, i = -3. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -h*q**3 + 22532*h*q**2 - 2*h*q - 169*h - 20*q + 2 wrt q.\nAnswer: -6*h*q + 45064*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of 5*n**2\/2 - 5*n + 3. Let c(z) = 10*z - 11. Let i(b) = 6*c(b) - 13*r(b). What is the smallest common multiple of i(-1) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p**4 + 6*p**4 + 2*p**4 + (2*p + 0*p - 3*p)*(2*p + 2*p**3 - 2*p).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3 + 2 = 0. Suppose a = l + y*a + 16, 2*l + 5*a + 20 = 0. Suppose -3*z + 0*z - 9 = l. Let b(h) = -3*h - 4. Calculate b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 12:26 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/29 or -182243?\nAnswer: -182243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 102101102211?\nAnswer: 102101102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 - -37?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/7)*d\/(d**(5\/3)*d)*(d\/(d*(d*((d**(-4)\/d)\/d)\/d)\/d))\/(d*d**(-6)*d*d*d))**19 assuming d is positive.\nAnswer: d**(2812\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 7*j**2 + j - 1. Let n be d(-1). Suppose -2*t = n*t - 4291. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.022158 rounded to four decimal places?\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -22*o**3 - 7*o**2 + 7*o + 11. Is q(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0 + -1)*-1)\/(87 - 93).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(60\/(-47)) + -6 + 3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*b**3 + 493*b**3 + 111*b**3.\nAnswer: 544*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 4*v = -3550 + 3563, -2*v = 3*u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 divided by -741?\nAnswer: -706\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(3 - 1) + 1. Suppose 0 = -4*m - u*q + 35, 0*m + 5*q - 21 = -2*m. What is the greatest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*n**2 - 1 + 3*n**2 + 5*n**2 + 8*n - 18*n**2 to the form r + t*n + i*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**3 + 14*n**2 - n**3 - 488 + 495 + 8*n. List the prime factors of m(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 8*l + t - 844 = 0, -t - 164 = -l. Let h = l + -83. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 11:25 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(2\/(-520)*-20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 95. Let a(v) = 2*v**2 - 6*v - 7. What is the remainder when u is divided by a(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 1 - 39*i**3 + i - 12*i**3 + 3*i**2 - 2*i**2. List the prime factors of h(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -6*w**2 - 475. Let u(g) = -g**2 - 182*g. What is u(p(f))?\nAnswer: -36*f**4 - 4608*f**2 - 139175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -119, 139, 733, 1663, 2929, 4531, 6469?\n\"Answer: 168*s**2 - 246*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**2\/4 - 109827*v\/4 = 0.\nAnswer: -109827, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153*l + 19916565 = 202*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8116.13054 - 8116. Let o = -0.129 + f. What is o rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 13*i**2 + 25*i + 5*i**3 + 33*i**2 + 4 = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 11049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*n**2 - 4069 - 114*n**3 - n + 18*n**2 + 4071 to the form b*n**3 + t + d*n**2 + x*n and give b.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g. Let b(r) = 56*r**2 - 4. Determine p(b(n)).\nAnswer: -112*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + 16*h**2 - 67*h + 28. Let o be q(8). Solve -4*u = o*b, 2*b + 17*u - 40 = 23*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -13*u**2 + 6*u - 1. Let c(d) = 49*d + 3877. Let v be c(-79). Let n(f) = 39*f**2 - 17*f + 3. What is v*n(m) + 17*p(m)?\nAnswer: 13*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68732370 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 16) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11.0258, 1209, 0, -2\/9 in ascending order.\nAnswer: -11.0258, -2\/9, 0, 1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2049.7 + 2151. Let k = 89 - o. What is k rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-18)*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13157*w**2 + 3288*w**2 - w + 3302*w**2 + 3285*w**2 + 3289*w**2 + w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/15, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*j**3 - 2*j**3 - 2*j - j**2 - 8*j**3 to the form m*j**3 + s*j + r + b*j**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/203040 and -143\/360?\nAnswer: 203040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(-5\/6)*n))\/(n*n*n\/((n\/n**(-1\/14))\/n*n))*(n**(-1))**22)**13 assuming n is positive.\nAnswer: n**(-6305\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 0  (c) 1\/8  (d) -572  (e) -1\/8  (f) -45  (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.08 and 61128768896.755.\nAnswer: 61128768896.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y*y**(-6\/5)\/y)**14*(y\/y**(3\/10))**(10\/9))**(3\/13) assuming y is positive.\nAnswer: y**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6687086.\nAnswer: 2, 7, 17, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 3. Let c = 3.4 + h. Let m = 3 - 2.9. Put c, 5, m in descending order.\nAnswer: 5, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kmb when three letters picked without replacement from {m: 3, r: 2, p: 1, b: 3, k: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2979 - -2952. Which is greater: h or -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 3*h**2 - 2. Let u be j(2). Suppose u = t - 8. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.4 + -3.9. Which is the biggest value?  (a) 2\/13  (b) -0.1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7552.387l?\nAnswer: 7552387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 9 = -p, -2*i + p + p = -6. Let g be i\/(-10) + (-434)\/1540. Put 1.1, g, -1\/6, 2 in descending order.\nAnswer: 2, 1.1, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, e: 14, s: 1}. Give prob of sequence vv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -70797056 divided by 4424816?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 328 + -400. Let y be (((-136)\/(-3))\/(-4))\/(2\/u). What is the highest common divisor of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*q = 8*q - 148 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 43 and 3929383.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + k**2 + 11*k + 11. Let q be c(4). Let n be ((-4)\/6)\/(485\/75 + q). Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 PM and 6:14 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -46, 0, -1, 4, -1619, -5 in decreasing order.\nAnswer: 4, 0, -1, -5, -12, -46, -1619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(3)*1)*4)**2.\nAnswer: 64*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39390 by -3030.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 + 4*g + 3. Let m be o(4). Let q be (-1)\/(-7) - (-417)\/21. Suppose -5 = 19*f - q*f. Solve -f*h + m*h - 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9679 + -104112.4\nAnswer: -94433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (112040\/19607*32\/10)\/(-1*(-6)\/7)\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 962004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(-32))\/(-9) + 45\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 3553304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.27 + 0.07. Suppose 2*c + 4 = 4*c. Let y be c\/4 + 3\/(-12). What is the biggest value in y, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -3 - (-20 + (38 - 45) + 37)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 6:50 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2677572 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.594 + -0.65. Let i = q + 0.015. Round i to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 153\/406 - -3\/58. Let n = 0.2 + -0.6. Let z = -45167 + 496840\/11. Put 5, n, z, s in ascending order.\nAnswer: n, z, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208223 + 209039 = 48*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/5)\/k*k**(1\/6)*k)**17 assuming k is positive.\nAnswer: k**(289\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -12*z + 12. Let n be s(3). Let m = 27 + n. Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215 is divided by 146.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(3\/13)*a**4\/a)\/(a**(-1\/27)*a**(-29)) assuming a is positive.\nAnswer: a**(11326\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**4 + 23*h**3 + 2*h**2 + 209*h**3 - 64093*h + 64094*h - 1 in the form z*h + k + r*h**2 + x*h**3 + l*h**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 8 = 5. Let t(v) = 0 - 2*v - 2 + f*v - 2*v. Let b be t(-6). Solve 8*o - 4*o = b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - 35*p**2 + 1077*p - 35454. What is j(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.05 - -3.95. Which is the closest to 0.1?  (a) 18  (b) -0.2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 6 = u - 5*w, 3 = -w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of -a**5\/80 + 29*a**4\/16 + 59*a**3\/8 + 89*a**2\/8 - 498*a + 3. Factor v(o).\nAnswer: -(o - 89)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 5*c - c**2 + 0*c + 9*c + 6 + 1 + 12. Let f = -14 + 29. Let z be g(f). Let o(x) = -x**3 + 5*x**2 - x - 5. What is o(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 3 - 2*w)*(0*w + 3*w - 2*w) - 5*w**2 - 2*w**2 + 5*w**2)*((0*w - 3*w + w)*(4 + 2 - 5) + 0*w + 2*w - 4*w + 3*w + 7*w + 8*w).\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 1. Let t(o) = -o**2 - 8*o - 5. Calculate the remainder when (-2)\/2*-30 + -1 is divided by t(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 78*f - 7 in the form d + m*f and give m.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 + 139 + -96 + (0 - -11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*l + 1121436 = -11*l. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(605) - ((sqrt(605) - (-1 + sqrt(605))) + 0) - (sqrt(605) - -3*(sqrt(605) + 2))))**2.\nAnswer: 264*sqrt(5) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14994*d**3 + 1292*d**2 - d - 5 wrt d?\nAnswer: 89964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.06 - -0.06. Which is the closest to k?  (a) 1  (b) -3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 6*x**2 + 25*x + 42. Let y = 18 + 89. Calculate the remainder when y is divided by o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 4)*(1 + 1 + 1)*(95*f - 200*f + 104*f - 49)*(-23*f**2 + 23*f**2 + 15*f**4).\nAnswer: 225*f**5 + 11025*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 120\/45 + 1\/3. Suppose 5*v - 25 = -0. Factor 53*s**5 - v*s**n - 43*s**5 - s**3 - 4*s**3 + 15*s**4.\nAnswer: 5*s**3*(s + 2)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-579)\/24 + (-2 - (-51)\/24). Let k(s) = -s**3 - 23*s**2 + 26*s + 43. What is k(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7288\/20)\/((-6)\/(-15)). Suppose -5*y - 226 = -f. Suppose -y = -6*o + 103. Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.54, -1.\nAnswer: -1, -0.54, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(2\/93)*z*z*(z*z*z\/z**(4\/13))\/z)\/(z**(6\/19)*z\/z**(1\/4)) assuming z is positive.\nAnswer: z**(335195\/91884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvhhhvhhhhv. Give prob of picking 3 v and 1 h.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 339197309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -83b66d6 - 0?\nAnswer: -83b66d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {p: 7, c: 5, o: 2, q: 3, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*z**2 - 8*z**3 - 2*z - 15 + 19*z**2 - 14*z**2 as p*z**2 + t*z**3 + x*z + c and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5894 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 52*d - 320. Let c be r(6). Solve c*g + 125 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/12 and -16\/8092047.\nAnswer: 32368188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2 - 9*y - 13. Does 12 divide p(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 4*s, 0*d - 2*s = -3*d + 5. Let f = 7 - d. Find the third derivative of -p**6 - 2*p**2 + 3*p**f + 0*p**6 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 3. Suppose g = -u*i + 7, -5*i = -5*g - 38 - 2. Suppose -2*w - i*w + 2 = v, -22 = -v + 5*w. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-4\/7)\/w*w*w)\/((w*w**(-8)*w)\/w)*((w**(1\/4)*w*w)\/w)\/w*w**(8\/5))\/((w*w*w**(-7\/6))\/(w**(-2)\/w))**30 assuming w is positive.\nAnswer: w**(-14801\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 169865.6ug in nanograms?\nAnswer: 169865600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2*r**2 + 3 + (1 + 1 - 1)*(-2*r**2 - r**2 + 0*r**2))*(-7*r + r + r) as k + u*r**2 + s*r + h*r**3 and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 16*f**2 + 14*f - 2. Let g be r(-17). Let k = 50 - g. Let s(v) = -7*v - 1. Let a(m) = -29*m - 4. Let q(w) = 2*a(w) - 9*s(w). Determine q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3*(2 - (1 - 0)). Let y be (6\/9 - (1 + c)) + -2. Let u = -40\/9 + 244\/63. Sort 0.2, u, y in decreasing order.\nAnswer: y, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 298*b**3 - 300*b**3 + b + 2. Let q(t) = -3 + 0 - t**3 + 2. Suppose -113*g - 187 = 39. Calculate g*q(z) - m(z).\nAnswer: 4*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1704 divided by -4\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50 - -49.8. Let h = -13 + 12. Let y be (h\/(-6))\/((-39)\/(-52)). What is the nearest to -6 in p, y, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 2*v = 10, v = 12 - 7 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g - 103 + 31 + 36 + 36.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -199*h**6\/6 + 3*h**4\/2 - 3*h**2 + 277*h - 13004. Find the second derivative of i(z) wrt z.\nAnswer: -3980*z**3 + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 4*h**2 + 11*h + 3. Let u(g) = 7*g**2 + 22*g + 4. Let v(s) = -3*u(s) + 5*w(s). Let b be (-50)\/4*12\/15. What are the prime factors of v(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 138246240 and 11?\nAnswer: 138246240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 - 11*f - 15. Let t be p(-10). Is (-10)\/t*-2 - -198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-18)\/2*(3 - 2). Let f = -3 - p. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 - c**2 + c + 1. Let x be z(-1). Let g = x - -8. Solve -4*l + 3*q = -25, -q = q + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*-1*-6)\/sqrt(8).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 919 - 735. Let x be 2\/(-11) - (-178)\/11. Let v = x + r. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 889957030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 45 - 22 + 10*f**2 - 23. Let g(w) = -3*w**2 + 2*w**2 + 3*w**2. Calculate g(i(l)).\nAnswer: 200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f + 8. Let c = 12 + -7. Let j be w(c). Suppose 0*g = j*g - 18. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5 - 3*a**3 + 2*a**3 - 3. Let p = 8 + 2. Let s be p\/(-15) - 4\/3. What is n(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2751523 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3 + 4\/3*g + 1\/3*g**2.\nAnswer: (g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 11\/12*v**4 + 0 + 3\/2*v**2 - 1\/3*v**3 + 18*v. What is the tens digit of o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100101011 - 1?\nAnswer: 1100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**2 + 2*n**2 - 2*n**4 + (-10280*n**2 + 10280*n**2 + 1039*n**3)*(-5*n + 3*n + 3*n).\nAnswer: 1037*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y + 5*z + 143, -2*y + 213 = 6*z + 281 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 383619402.\nAnswer: 2, 3, 929, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -11512*d + 5751*d + 5754*d. Let m(t) = 0*t**2 - 2*t**2 - 8*t**2 - 2*t**2. Give m(p(c)).\nAnswer: -588*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 549 = 3*m, -m + 28*b + 172 = 31*b. Calculate the remainder when m is divided by 97.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96853561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(2695)*4 - sqrt(2695))*-2)\/(((sqrt(320) - sqrt(320)*-2 - sqrt(320))*-2 - sqrt(320))*-5).\nAnswer: 7*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 487 divided by -487\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -2\/195  (b) 2\/287  (c) 0.06  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w - 620 = 2*w. Let n be (-1)\/(-1) - w\/(-62). Solve -n*k + 5*k = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*n - 554 - 2030. Calculate the least common multiple of 276 and n.\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 - 32*d + 58. Let m(x) = 10*x**2 - 158*x + 287. Let q(a) = -2*m(a) + 11*v(a). Factor q(y).\nAnswer: 2*(y - 16)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 1 - (2 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/2)\/(6\/32). Let l(r) = r**3 + 10*r**2 + 11*r + 3. Let c be l(q). Suppose -5*m + 132 = -c. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 17*w - w - 80 = -6*r, 5*r = -3*w - 25 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -217, -14, -5, 2, -26 in ascending order.\nAnswer: -217, -26, -14, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -18  (b) 0.5  (c) -5  (d) -0.4  (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxlxxxlxx. What is prob of picking 1 l and 2 x?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 68 = 5*q, -32 = 2*q - 5*s - 43 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*z + 11 = 8*f + 27*z, -f - 3*z = -17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((460\/16)\/((-5)\/24))\/(10\/5)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -605001*j - 2. Let h(i) = -i**3 - 4*i**2 + 6*i + 3. Let r be h(-5). Let c be k(r). What is c rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*(t*t**(-2\/9))\/t)\/t*t\/t**(12\/7) assuming t is positive.\nAnswer: t**(4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13.96*-8.\nAnswer: 111.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26558968 is divided by 1931?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - -16. Suppose 0 = -3*c + w + 14. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 4*d**3\/3 - 1. Let a(x) = -44500 - 3*x**2 + 44500. Give a(b(o)).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69*j**2 - 5*j**2 + 0 + 0 to a*j**2 + w*j + x and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 5:14 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 1. Let b(c) = -20*c**2 - 5*c + 1. Let v(u) = 7*u**2 + 2*u. Let z(x) = 2*b(x) + 5*v(x). What is -2*y(q) + z(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of u**5\/210 + 70*u**4\/3 + 137200*u**3\/3 + 2047*u**2. Factor r(b).\nAnswer: 2*(b + 980)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 4:14 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -5*o + 28, -3*m + o + 540 = 0. Differentiate -17*r + 44*r - 18*r - m - 19*r wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 510415 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yrryrryiyyryyyr. What is prob of picking 1 y and 1 r?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 8 = 0, -x + c + 93 = -94. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*o = 170 - 588. What is the greatest common factor of o and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 11, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 254338 and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 31*z**3 - 3*z - 940.\nAnswer: 93*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -92, 25, 142, 259?\n\"Answer: 117*b - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2855.\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**4 + 6*m + 6. Let j(x) = -x + 1. Let l(v) = 6*j(v) + w(v). Differentiate l(t) with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**4 - 10296188*k**3 - 226515448*k**2 - 1441460560*k - 2059228800 = 0.\nAnswer: -5148072, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/5 in -5, -11, 17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from rxrygrv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 5 = 4*z. Let a(k) = 13*k**z - 3*k - 1 + 3*k - 10*k**3 - 4*k**3 + k**2. Let g(q) = -6 + 6*q**2 + 0*q - 4*q - 9*q**3 + 6*q. Give -6*a(b) + g(b).\nAnswer: -3*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.29 - 127493.0435.\nAnswer: -127493.3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -876 by 963.\nAnswer: -292\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -750094*w + 684*w**2 + 750094*w.\nAnswer: 684*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7232*x + 142574 = -257859 - 127503 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 643*o = 640*o - 16, 0 = -5*w - 3*o - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29364 - -29364. Let h be (1\/5)\/(8\/(-20)). What is the closest to v in -1\/3, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, i: 3, j: 1}. Give prob of sequence iji.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 2 s, and 1 v when four letters picked without replacement from {s: 7, o: 1, v: 5, w: 1}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339 is divided by 143.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15718 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(2*p**4 + 0*p**3 + 0*p**3) + (-475*p**2 - 2588*p + 2588*p)*(-2*p**2 + 2*p**2 - 8*p**2).\nAnswer: 3798*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/56960 and -151\/9504.\nAnswer: 16917120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of h**4\/12 + h**3 - 8*h**2 + h. Is m(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 9:53 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) + 2)*5)**2 + (sqrt(833)*3)**2*-1.\nAnswer: 700*sqrt(17) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f + 14 = -f. What is the nearest to f in -4, -0.1, 0.048?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15228546*f**5 + 2*f**3 + 978988*f**2?\nAnswer: 913712760*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 + 11215.\nAnswer: 11214.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llleolex. What is prob of picking 1 o and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 215811246 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1100) + sqrt(1100)*-2)*4 - (-1 + sqrt(1100) + sqrt(1100)*-2))*-5)**2.\nAnswer: -1500*sqrt(11) + 247525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of 5*t**4\/24 + t**3\/2 - 4*t**2. Let c be f(3). Let l = c + -13. Let n(s) = -s + 12. Determine n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - q - 31 = 0, -q - 3*q - 16 = 2*f. Let r(l) = -2*l + 4. Let z be r(5). Let m = z - -2. Is f less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h + 2. Suppose -3*z - 3 = -3*j, -5*z = -25 + 10. Let l(y) = 1 - j - y + 0. Let x be l(-5). Give t(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*o - 96*o - 88*o + 349*o - 78*o + 7.\nAnswer: -9*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.09 - 4.91. Let t = -4.746 - -3.446. What is the nearest to 0 in 2\/13, v, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 7*g**2 - 6*g + 4. Suppose 3*z = 5*f - 18, 70*z = 66*z + f - 24. Determine m(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28584 - -9527\nAnswer: 38111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -843 = -2*k + 5*q, k + 5*q - 2195 = -4*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n + n - 3*n)*(-6 + 1 + 3) + 499340*n - 251468*n - 250948*n.\nAnswer: -3078*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/710 and 17\/2130.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/((n\/(n*n**(-19)*n))\/n))*n**(11\/2))**(-2\/15) assuming n is positive.\nAnswer: n**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -97 - -93 - (-1 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 6*p - 3. Let i(k) = -k**2 + 5*k + 1. Let g be i(6). Let y = g - -3. Let l be b(y). Solve 15 = l*n - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3*d + 4. Let y(h) = 2*h + 2. Let k(g) be the first derivative of g**4\/4 - 8*g**3\/3 + g**2\/2 - 5*g - 1. Let u be k(8). Determine u*w(p) - 5*y(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 748  (b) -3\/4  (c) 2  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -124, 1, -19, -31, -1 in descending order.\nAnswer: 1, 0, -1, -19, -31, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12.21 - 13.21. Put 1.2, -44, y in decreasing order.\nAnswer: 1.2, y, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 2*f + 0 + 9 = 0, -2*k = 2*f - 6. Let d = k - -2. What is the second derivative of 25 - d*q**5 - 25 + q wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3809518368?\nAnswer: 2, 3, 39682483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5040) + sqrt(5040) + sqrt(5040)*1)*-6)\/(sqrt(56)\/(sqrt(512) - (sqrt(512)*-2 + sqrt(512)))).\nAnswer: -3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 - 4 + 4)*(4*w**2 + w**2 - 4*w**2)*(-2 + 2 - w) - 5*w**5 - 8*w**5 + 16*w**5.\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -203400 divided by 120?\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(475) + 2)**2.\nAnswer: 70*sqrt(19) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 53927 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n - 155 = -209. Solve -2*r - 1 = 3*y, -3*r - 24 = 4*y - n*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/403 + -1525\/127348. Let k = 2859\/1580 + c. Calculate the common denominator of -95\/8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 - 1130340130?\nAnswer: -1130340110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((3\/1)\/(-6))\/((-1)\/(-2)). Let h = 4.79 - -0.21. Let j = -9 - -4. Which is the closest to -2\/5?  (a) h  (b) j  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-21)\/(-28)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 2 + 114 + -115.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/44022 and 35\/87.\nAnswer: 44022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(8))**2 + sqrt(2) + (sqrt(32))**2 + sqrt(2) + -5)*-3.\nAnswer: -105 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.4  (b) -6\/5  (c) -1  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3 - -9)\/6)\/((-1)\/(-29)). Let d = w + -19. Suppose -4 = d*x - 11*x. Calculate the highest common factor of x and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 4*j + 18. Solve -2 = -j*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39528457?\nAnswer: 47, 313, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23 - 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*j - 2*w, -3*w - 3 = j - 0*w. Suppose 3*a = -12, -j*s + 28 = s - 4*a. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-86)\/(-7) - (-4)\/(-14). Let m(z) = 8*z**2 - z + 1. Let b be m(1). Let h = b - f. Put h, 4, -3 in increasing order.\nAnswer: h, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 12. Let n(o) = o**3 + 9*o**2 - 4*o + 1. Is n(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 323 + -323.1322. Round x to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 878646587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + -2*(-2 - -3). Let h(q) = -q - 1. Let z be h(t). Let a(j) = 14*j**2 - j - 1. List the prime factors of a(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -338 - 1946. Suppose 4*m - d = 3*y, m + 3*y - 51 - 73 = 0. Suppose -m = -5*a - 2*f, -2*a + 128 = 2*a - 4*f. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.048 - -0.148. Let f = -4.2 - -2.2. What is the closest to m in -4, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17901*y**4 - y**3 - 157992*y**2.\nAnswer: -429624*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3 + -4*(sqrt(405) + 1 + sqrt(405)) + -1*(0 + sqrt(405) + sqrt(405)))**2.\nAnswer: 180*sqrt(5) + 40501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u + 13*u + 14*u - 42*u + 12*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -66*w - 28*w + 30439738. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-6 - (5 + -2 + -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -1. Suppose y = -5*p + 2 + 8. Solve 0 = 5*f + p*w - 3, 15 = -3*f + 3*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5 - -2)*-3*(-4)\/(-6). Suppose -3*n + l = -3, 0 = -2*n + l - 0*l + 1. Let g(z) = -4 + z**3 + z**n - 8*z**2 + 5*z - 4. Calculate g(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 + 9 + 14)*(m + 2*m - m).\nAnswer: 82*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -92*v - 1125. Is n(-28) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -3\/2, -0.3, -1\/750, -154 in increasing order.\nAnswer: -154, -3\/2, -0.3, -1\/750, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 2\/9  (c) 151  (d) 3  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -3 - 6 + 5*q - 7 - 6. Let l be u(5). Suppose 7*i = l*i. Solve -6 = -4*n + 2*y, i*n + 4*y - 28 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 323707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + u - 5. Let q = 12 - 8. Put -1, u, q in decreasing order.\nAnswer: q, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3684 in -2\/5, -47, -0.6, 0.3?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -538 at most as big as 489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-45)*(-99)\/66.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2804209978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 7*k**4 - 2*k**3 + 4*k**2 + 6*k - 7. Suppose 0 = j + 1 - 8. Let f(u) = 12*u**4 - 4*u**3 + 8*u**2 + 11*u - 13. Let s(p) = j*o(p) - 4*f(p). Factor s(t).\nAnswer: (t - 1)**2*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10.1 times 0.62\nAnswer: -6.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 - -3 - (-4 + -187) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -77 + 27. Let q be 55\/g - 3\/(-5). What is the closest to q in -4, -1\/3, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9183*z + 0 + 0 + 3102*z + 3015*z + 3086*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a**2 + 4032*a - 4032*a. Let r(f) = -601*f. What is r(q(l))?\nAnswer: -2404*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3 = f - 0*f, 0 = -4*f - 4*a + 4. Suppose -7*c - 5 + 40 = f. Solve -3*b - 2 = -c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.24 - -0.06. What is the closest to n in 3, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-65)\/(-195))\/(((-3)\/2)\/3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 4:36 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 323397499 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(1\/5))**42\/(f**(-6)*f*f**(-3\/10)) assuming f is positive.\nAnswer: f**(389\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 38017040671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 8 = -o, 76*v - 80*v - 4*o - 10 - 3 = 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24779740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 146*h**2 - 27*h. Let d(j) = -49*j**2 + 8*j. What is -7*d(g) - 2*q(g)?\nAnswer: 51*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -39 + 15. Let q(t) = -t + 3*t + 0*t - d*t. Let m(l) = -4*l - 5. Let s(j) = 6*j + 8. Let z(k) = -8*m(k) - 5*s(k). Calculate z(q(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -4 + -5 - (-12 - -7 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-71 + 47 + 54)*(-2*s**2 + 5*s**2 - 2*s**2) as u*s + n*s**2 + c and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 756 + -766. List the prime factors of 177\/(5 - (w\/(-13) - -4)).\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 4*u + d - 349, 12 = -4*d. Suppose -3*y + 36 = -4*z, -5*y - z + u = 28. Let w = 31 - y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2. Let t(a) be the first derivative of a**6\/72 + 5*a**3\/3 - 3. Let h(m) be the third derivative of t(m). Calculate h(u(d)).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -3*c**2 - c**3 - 4 + 0*c + 2*c + 0*c**3 + 8*c**2. Let k be g(5). Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1135, -4639, -10489, -18691, -29251, -42175, -57469?\nAnswer: -75139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 4378150\/11 and 398014 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 3\/(-84)*76 - -4. Which is the second biggest value?  (a) l  (b) 5205  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35548 rounded to the nearest one hundred?\nAnswer: -35500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 + 13*t**2 + 396*t - 3072. What is i(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 4145?\nAnswer: -4148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1057 + -1063. Let d(s) = -3*s - 5. What is d(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2736 and 1443088?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n = 138 - 186 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -34871184\/7 at least -4981597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/163248 and 117\/6688.\nAnswer: 3591456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1528863 minutes to nanoseconds.\nAnswer: 9173178000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -257*q + 39 = -244*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -386.634 take away -0.5?\nAnswer: -386.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + (19 - 8) + 5 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/6*4\/((-272)\/(-51)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 + 58640*v**2 + 16*v - 234560.\nAnswer: -4*(v - 14660)*(v - 2)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of -2*x**5\/5 - 3*x**4\/2 - 2*x**3\/3 + 3*x**2 + 4*x - 165. Solve f(d) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -345\/4*z**3 - 263\/2*z**2 + 44*z**4 + 174 + 173*z - 1\/4*z**5 = 0. Calculate z.\nAnswer: -1, 2, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48.144 + -48. Let a = w + -0.18. Let p = a + 0.0383. What is p rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -6. Let s be (-6)\/(-3) + (-89 - g). Let d = -826\/9 - s. What is the third smallest value in 1, -3, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -604, -1132, -1652, -2158, -2644, -3104?\nAnswer: -3532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 6) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 + s - 1. Let k(w) = 2*w**2 - w. Calculate k(a) + 3*l(a).\nAnswer: -a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -h**5\/35 + h**4\/7 - 2*h**3\/21 - 2*h**2\/7 + 3*h\/7 - 46. Determine w, given that g(w) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence txxt when four letters picked without replacement from xtttttttxtt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 2\/7  (c) 4  (d) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/267757500 and 139\/35231250.\nAnswer: 1338787500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 323 + -320. Let h = 15 + -11. Sort d, -5, 0, h in decreasing order.\nAnswer: h, d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 1:58 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-20038)\/4085 - (12\/(-15) - -1) - -5\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -522*i**2 - 29*i**5 - 3*i**5 + 2*i**4 - 102*i**2 - 5*i**4 - 458*i**2 wrt i?\nAnswer: -1920*i**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(-4*y**2 + 4*y**2 - 2*y**2) + (-4*y - y + 3*y)*(-y - y + 0*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4  (b) -25\/909  (c) -0.1327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2603*r + 2664*r + 244 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 30 = 4*h, 6*m - m = -43*h + 1330 - 1057 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -1c1?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2.1, 7\/6, -2\/5, 45, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-40)*4600\/2070.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5823360 and 632880.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-3)*s)\/s)**33)**(1\/28)*(s**(-4\/5)*s*s**(-2)*s)\/(s\/s**(-5)*s*(s**(-6)*s)\/s) assuming s is positive.\nAnswer: s**(-291\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 1 = 3*g, -s - 3 = -g - 4*s. Let f = g + 3. Differentiate -f*v + 0*v + 4 + 3*v + 3*v wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -8883*x - 19. Let n be d(5). Let g = -26411 - n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 4, -5, 55?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (54\/40 + (-903)\/516)\/(2\/60)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 4. Let c = 115549 - 115538. What is the remainder when c is divided by m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 35*w + 7. Let r be j(7). Suppose 5*k - 2*o + r = 0, -3*k - 4*o - 140 = -8*o. Let b = -18 - k. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3148885.7 rounded to the nearest ten thousand?\nAnswer: -3150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 PM and 8:08 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o + 190678 - 95355 - 58*o**2 - 95323.\nAnswer: -58*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**2 + d. Let l be w(2). Suppose 3*t = q - 1, l = 5*q - t - 9. Let a(i) = 2*i**2 - 4*i - 2. Determine a(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 PM and 4:42 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5059 + -5056. Which is the biggest value?  (a) -0.4  (b) o  (c) -0.28  (d) 1  (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sskssksksss. What is prob of picking 1 k and 2 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55909*i + 2*i**3 - 4*i**3 - 55909*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 25 + 0 = -2*n, 0 = 3*o - 5*n + 16. Let m(l) = o*l**2 - l**2 + 0*l**2. Let z(x) = 7*x. What is z(m(p))?\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43\/30 + 1813\/480. Let u = -1113379\/671412 + 28\/7993. Find the common denominator of u and o.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3332 (base 13) to base 15\nAnswer: 21ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 5*o = -2*a + 157, -227 = 5*a + 4*o. Let v be (3 + -1 - a)\/(4\/4). Suppose 4*d - 143 = -3*p, -3*p + 4*p + 2*d = v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -855*y + 2. Suppose -6 = -3*s - 9. Let h be a(s). Let c = h + -348. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175640.\nAnswer: 2, 5, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 2\/911, 1794?\nAnswer: 1794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32\/7*m - 1\/7*m**3 + 15\/7*m**2 - 48\/7 = 0. Calculate m.\nAnswer: -1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2)*(2*r - 3*r + 5*r) to h + f*r and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23279558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 210.69 and 0.0218?\nAnswer: 210.6682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzd when three letters picked without replacement from zzzzzlqlldqlzz.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 4*l + 5*g + 791, 2*l - 403 = 5*g. Suppose o - 4*s - 23 = 37, l = 3*o + 2*s. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1742497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 - 7*f - 3. Calculate the smallest common multiple of 3 and j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 109447 = 551*d - 547*d, -4*d + 5*p = -109405. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1027, -1066, -1115, -1180, -1267, -1382, -1531?\n\"Answer: -u**3 + u**2 - 35*u - 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30434327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4718 or -4631?\nAnswer: -4631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(7) - (5*sqrt(1008) - sqrt(1008))) + sqrt(70)\/(5*sqrt(10)).\nAnswer: -234*sqrt(7)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9218483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*i + 1)*(-i - 138*i**2 + 53 - 53).\nAnswer: 276*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30381 + -30352. Which is the biggest value?  (a) f  (b) 0.4  (c) -20  (d) 0.5  (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/5, -1, 5, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 9*w**2 + 12*w - 8. Let o be g(10). Let d = 32 - 24. Let j(q) = q - 6. Let s be j(d). Solve 6*f + o = s*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 3:26 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of y**9\/252 + 5*y**7\/42 - 71*y**6\/120 + 1249*y**5\/60 - y**4\/8 + y**2 + 104*y - 1. Find the third derivative of q(a) wrt a.\nAnswer: 240*a**3 + 600*a - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -67, 3, -42, 5, 0, -13 in descending order.\nAnswer: 5, 3, 0, -2, -13, -42, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 32 + -2 + (-5 - (9 - 2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 78825121 rounded to the nearest one hundred thousand?\nAnswer: 78800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 5*c + 374, 114*c = -j + 112*c + 110. What is the remainder when 1170 is divided by j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 10*c**3 - 31*c**3 + 17*c**3)*(-6*c + 5 - 5).\nAnswer: 24*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 97.\nAnswer: -3, 3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/(5 - 3)*-11. Let c be o\/(-6) + (-2)\/12. Let v = 9 - c. Solve -3 = -v*u + 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -3\/2*o**2 + 3 + 5*o. Let s(b) = -4*b + 6. Let u(r) = 5*s(r) - 6*w(r). Let x(f) = 14*f. Calculate x(u(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 41324 and 58?\nAnswer: 1198396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*l + 6 + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 414 + -404. Let h be y\/((-50)\/(-8) + -6). Let k be (-17)\/(-2) + (-1)\/2. Calculate the greatest common factor of h and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 21221322?\nAnswer: -21221314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 746 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (46\/(-20))\/((-352)\/5632). Let 4 - n*h + 441\/5*h**2 - 81\/5*h**3 = 0. Calculate h.\nAnswer: 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 150001*h**2 - 1. Let d(m) = -m**3 - 6*m**2 - 1. Let u be d(-6). Let n be v(u). What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -4*d + 184, 3*d - 27 - 114 = -3*i. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 <= -196295\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + o + 1 - 2*o)*(-4*o + 2*o - 14 + 18).\nAnswer: 4*o**2 - 10*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(-7))\/(r**(-1\/8)*r))\/((r\/(r\/(r\/(r\/r**(2\/9)))))\/(r*(r**(-2\/9)*r)\/r*r)))**(2\/101) assuming r is positive.\nAnswer: r**(-383\/3636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 + 2*v + 3. Suppose -2*z + 6 = -2. Let a = 0 + z. Let y(g) = g**3 - 5*g**2 + 3*g + 1. Let b be y(a). Calculate w(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.24, 0.3, 20, -38, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(425))*-5.\nAnswer: -25*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b**5 + 5*b**5 + 2*b**5 + (5*b + 0*b + 5*b)*(b**4 - 3*b**3 + 3*b**3).\nAnswer: 13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xtddoxtxxxttx. What is prob of picking 1 o and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-140)\/1110*306\/(-714)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 21411542 (base 6) to base 2\nAnswer: 10011100000101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-2 - -29)) + (-1998 - -1999)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -70 - -49. Let p be ((-18)\/q + -1)*3. Let u = -928.2 + 928. Do p and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + i + 8 = 0, i = 2*z - 4*i - 13. Suppose -1 = -2*d + 7. Suppose j = d*j - z. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3*3*sqrt(170) + sqrt(170)))\/((sqrt(960) + -4*sqrt(960) + sqrt(60))\/sqrt(6)).\nAnswer: -40*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -3\/7*n**3 + 0 + 1\/7*n**4 + 2\/7*n**2 + 0*n = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288 is divided by (600\/(-210))\/((-1)\/14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 821 is divided by 58.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 472 and 1768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 2*n + 3*n = -1343, 3*n + 2651 = 4*m. Suppose 33*b = -m + 4916. Is b a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 30*g + 31*g + 17 = 0, -4*k + 2*g + 16 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3*d = 6*z - 241, 2*z + 5*d - 131 = 0. List the prime factors of 8\/(-4)*z\/(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 + 4*i - 5. Suppose h - 175 = -3*k, -4*h - 23*k = -28*k - 785. Let l = h + -196. Give a(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 61, 145, 263?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7275, -14552, -21833, -29118?\nAnswer: -36407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, f: 3, t: 3, x: 2, g: 1}. Give prob of picking 1 f and 1 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 138\/10 - (-32)\/(-40). What is the greatest common factor of g and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 22*(-3)\/14 + -67 + 74 + -2. Let t = 7 + 1. Let i = -7 + t. Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {i: 1, f: 4, q: 2, p: 1, b: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 308 and 1628?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.0723 and 0.06.\nAnswer: 2.1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 374 and 104805782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence senn when four letters picked without replacement from nsnnnssnsenne.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n + 30. Let v be x(-15). Sort 4, 3, v in increasing order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 90.21058 days?\nAnswer: 7794194112000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 + 0*r**4 + r**4 + 0*r**2)*(r - 8*r + 12*r) + 0*r**5 + r**5 - 2*r**5.\nAnswer: 4*r**5 + 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*h = 7*l - 528, -528 = -4*l - 2*h. What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4530\/(-2718))\/((64\/(-72))\/8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 72a + -1?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11.81, -0.2, -2 in descending order.\nAnswer: -0.2, -2, -11.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.023 and -31.0935?\nAnswer: -0.7151505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -183 + -1?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {z: 4, a: 7, r: 2}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1010 - 1010. Solve 4*n - 31*v + 28*v = 0, -4*n + 2*v - 4 = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, o: 8}. What is prob of sequence cc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121*h - 113*h = -355*h + 968 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h**(-1)\/h)\/h)**(2\/37)*(h**(-1)\/h)**(2\/151))**(1\/3) assuming h is positive.\nAnswer: h**(-752\/16761)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(((-16)\/12)\/(150\/(-9))). Suppose c = 51 + q. What is the highest common divisor of 84 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, n: 3, r: 1, e: 1, f: 3}. What is prob of sequence ern?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.519 + 0.019. Let d be (14\/(-399))\/((-1)\/3). What is the smallest value in -0.4, -0.2, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -24.71  (b) 2\/13  (c) 2\/15  (d) 0.03  (e) -0.1  (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -28*r**3 - 53*r**3 + 23*r**3 + (-1 + 1 - 2*r**2)*(-3*r - 3*r + 5*r) + 5*r**3 + 5 - 5 - 1 - r**3 - 3 + 3.\nAnswer: -52*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -4753*t - 1083736. Give i(-228).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 1. Let a(y) = -y + 9. Suppose 5*l = 10*l - 50. Let d be -2*1\/2 + l + -3. What is d*p(k) - a(k)?\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20521501?\nAnswer: 7, 11, 13, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 59 = 9. Let j be (0 - 5)*(2 + -1). Calculate the remainder when a is divided by -3 - j - (-1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 615 + -436. List the prime factors of l.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2 = 3*m + 1, -4*a - 4*m = -4. Suppose -a*y = -7*y + 160000. What is y rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (4 + (sqrt(136) - 2*sqrt(136))\/sqrt(8)*-2)**2.\nAnswer: 16*sqrt(17) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.03 + -0.23. Let m = -2.46 - l. Let w = m - -2.19912. Round w to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 8 - ((8 - 2) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 248095 and 1180.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*q + 24 = 0. What is the third derivative of 4*r**q - r**2 + 3*r**2 - 2*r**4 - 5*r**4 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2899510 is divided by 792?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/(-7 + 32)*6015. Suppose 21*v + 321 = n. Calculate the lowest common multiple of 105 and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31965575?\nAnswer: 5, 1278623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of n**4\/4 + 37*n + 2. Find the common denominator of 33\/8 and i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 b, and 2 o when four letters picked without replacement from bbbobbhhbgboghb?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5890 (base 12) to base 2.\nAnswer: -10011010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 7) + (46 - -5) + -25.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*v - 3*v**2 - 8*v + 3*v - 3*v + 2*v**2 + (-v + 0*v - 4*v)*(3*v - 6*v - v) + (v**2 - v**2 + 2*v**2)*(1 - 3 + 0).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 515.9 - 516. What is the third smallest value in v, -1, 0.4, 56, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -64, -5 in ascending order.\nAnswer: -64, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3761*r**2 - 3761. Let j(t) = -2*t**2 + 1. Give 3761*j(w) + q(w).\nAnswer: -3761*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 76*l + 5544. Determine t(-79).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b = 12*b + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, h: 1, p: 13}. What is prob of sequence hp?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1627018 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(48) + (sqrt(48) + sqrt(3))*-3)**2 + sqrt(9)\/(sqrt(3) - sqrt(75)*-2) + (sqrt(24)\/sqrt(2)*-2)\/(sqrt(16)*-4)*4.\nAnswer: 12*sqrt(3)\/11 + 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4765, -4779, -4793, -4807, -4821, -4835?\n\"Answer: -14*w - 4751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -615 by -41.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + o**2 + 5*o. Suppose -10*p = 6*p - 144. What are the prime factors of h(p)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/31)\/o)\/o*o**(-2\/29))\/((o*o**(-2\/21))\/(o\/o**(-10))) assuming o is positive.\nAnswer: o**(150310\/18879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 3:39 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 0, -2*z + 8 = 2*z + 2*p. What is the closest to 0 in 0.3, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m - 6 - 8 + 29 + 25. Let k be v(18). Which is the second smallest value?  (a) 0.3  (b) k  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 69839 - 179?\nAnswer: 69670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v + 138 = 154 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 98540, 88311, 71262, 47393?\n\"Answer: -3410*a**2 + a + 101949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 21, 5, 2\/3, -25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 10) in base 8?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 210130223 + 3?\nAnswer: 210130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 95*j**2. Let u(f) = 6*f**2. What is u(q(r))?\nAnswer: 54150*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 7*-0.107\nAnswer: -0.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -129*z + 4*z**2 - 134*z + 271*z in the form w*z + f*z**2 + o and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42 - ((0 - -19) + 85 + -65 + -23)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25898932537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (484\/(-33) + 4)\/(2\/(-15)) is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 5 = 31*k - 34*k, 7*k + 3*n = 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 + 2)*(-2)\/(-4). Suppose q = -h*q + 16. What is the second derivative of -2*o**3 - q*o**3 + o**3 + 5*o wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8664 and 956061?\nAnswer: 145321272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 56 + -56.000051. What is f rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -5*w**5 - 32005*w**4 + 46516045*w**3 - 15449181895*w**2 + 61239559600*w - 61054007740 = 0.\nAnswer: -7667, 2, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2592) + sqrt(2592)*1 + sqrt(1152)*1)\/(6*sqrt(729)*1*2))**2.\nAnswer: 128\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7329a2 (base 12) to base 9.\nAnswer: -3356315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 - -2 - 1 - (13 - 12) - (-252 + 261)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 179500.6 nanograms in kilograms?\nAnswer: 0.0000001795006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d + 1. Let x be u(-5). Let m be (-186)\/x*6\/4. Suppose -y - 2*p - 8 = -m, -82 = -4*y - 3*p. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (3 - -2)) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 241699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 48*d**4 + 100*d**3 + d**2 + 52*d - 48 wrt d?\nAnswer: 1152*d + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 c when four letters picked without replacement from uiuuwuuiuuucuucuccn.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 190 + 261. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*q + 5*w = -63*q + 45, 264*w = 3*q + 262*w + 45 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3460 and 45.\nAnswer: 31140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l - 4. Let a be o(5). Let q(p) = 7*p**2 - 16*p**2 + a*p**2. Let n(t) = 2*t**2. Give q(n(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j + 54. Let c be 1\/(35\/(-30))*(-14)\/(-2). What is the remainder when x(c) is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66334 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 8:00 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/9 or 2354268\/29?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 23470425 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - p - 18 = 0, -b + 4*b - 2*p - 21 = 0. Suppose 4*d - 61 = -4*o + 107, 3*o = -b*d + 220. Calculate the highest common divisor of 47 and d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81656 is divided by 387.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 917 and 14410?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33, 164, 411, 798, 1349, 2088, 3039, 4226?\nAnswer: 5673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113531?\nAnswer: 11, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m + 1. Let q(u) = 18*u**2 + 81*u - 81. Let p(a) = -2*q(a) - 162*t(a). Let i(r) = 2782 - r - 2782. Determine i(p(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, 476, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z + 19 - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -79 + 79.2. Let t = -7 + 6.98. Suppose -4 = -2*k - 6. Which is the nearest to -1?  (a) k  (b) t  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2566.84 and -0.081?\nAnswer: -207.91404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41*x**2 - 12*x + 45*x - 3*x**4 - 3*x**3 + 42*x**2 wrt x?\nAnswer: -72*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160550*z + 160543*z - 321053*z - z**2 + 3*z**2.\nAnswer: 2*z**2 + 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10542132 + -12306.682\nAnswer: 10529825.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -320*r + 326*r + 18 = 0. Put 7, 5, r in decreasing order.\nAnswer: 7, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-36)\/(-1)*(-39)\/(-9). Let v = p + -87. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 7146*o - 28. Determine n(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/2 + 7875622\/3937812. Let t = v - 74998582895\/7875624. Let d = t - -9535. Find the common denominator of d and -28\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*q - 19. Suppose 4*g - 4*z - 1 = -q*z, 2*g - z + 1 = 0. Suppose g*r - 596 = -4*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-7244)\/6)\/(1\/((-41778)\/4)). Let s be (-2)\/2 + (-6 - q). Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-38*j**3 + 30*j**3 - 41*j**3)*(-1 - 4 + 2)*(-2*j + 2*j + j) to k*j**4 + l + v*j + b*j**3 + f*j**2 and give k.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 74 - 77. Which is the closest to -0.3?  (a) t  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6945 and 169.546?\nAnswer: 6775.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 27*x - 56*x + 29*x + 4*x**2. Let v(h) = -4*h. What is v(b(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 575 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -7931 * 2812.6\nAnswer: -22306730.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -3*f + 99. What is the remainder when 104 is divided by u(15)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2538*z**5 + 22846*z + 20328*z - 41037*z wrt z?\nAnswer: -50760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 7*s**3 + 340*s**2 - 145*s + 134. Determine r(-49).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b - 1. Let m = 69 - 66. Let n(x) = -x + 1. Let r(j) = 20*j - 10. Let f(i) = -15*n(i) - r(i). Determine m*w(d) - f(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(24) - sqrt(96)))\/sqrt(12) + 5*2*sqrt(288).\nAnswer: 121*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6822 or 6824?\nAnswer: 6824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*r - h, -4*r + 3*h + 29 = -2*h. Let t be r*-3 - (-15 - -2). Let w = 11 - t. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 - 1 = -2*p. Suppose -4 - p = -5*m. Suppose n + 2*y - 6 = m, -4*y = n - 8. Calculate the remainder when 34 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -14*u**2. Let f(y) = 1. Let l(h) = -h**2 + 1. Let b(g) = 3*f(g) - 3*l(g). Give b(r(c)).\nAnswer: 588*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -993607 less than -993623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.4 + 2.28. Let h = o + -0.08. Which is smaller: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*w = -66*w + 12. Suppose -152 = -w*z + 4*d, 5*z - z - 244 = -4*d. Solve 11*m + 11 = z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**5\/50 - d**4\/10 + 4*d**2\/5 + 3*d. Factor y(b).\nAnswer: 2*(b - 2)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = j - 2*j, -2*u + 4*j + 2606 = 0. Suppose -1303*g - 72840000 = -u*g. Round g to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 34399878 and 5480?\nAnswer: 687997560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i - 6. Let g be u(5). Which is the nearest to 0.1?  (a) 3\/8  (b) g  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 10:43 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 25, 259, 903, 2161, 4237?\n\"Answer: 34*x**3 + x**2 - 7*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7954771?\nAnswer: 11, 723161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5*r**3 - r - 2. Let t(m) = -2*m**4 + 312*m**3 + 978*m**2 + 984*m + 332. Let h(q) = 2*l(q) + t(q). Determine j, given that h(j) = 0.\nAnswer: -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*v**2 + 6*v**2 + 12 - 17 wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 2:06 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 174 and 1479.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 53*h*t + 3755*h + 2488632*t**4 - 1552 wrt t?\nAnswer: 53*h + 9954528*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 980772.7km to centimeters.\nAnswer: 98077270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 AM and 5:25 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 8 = -3*t + 6, -2 = -2*t + 3*c. Let b be 2 - (t + (-3)\/3). Let p be (b - (0 - 0))*-1. Solve -n + 0*n = -p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -51 - 1470?\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from {d: 2, f: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 6 = -f + 3*g, 2*g = 2*f + 2. Let j be (-2)\/8 - f\/132. Suppose 5*m + 12 = 27, o = -2*m + 5. Which is greater: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - 16*p - 18. Let i be n(-17). Let g be 500\/(-166) - (1 - i)\/(-12). Put g, -0.3, -3 in increasing order.\nAnswer: -3, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 - 14. Suppose h + h - 4 = v. What is the second derivative of g**2 - g + 2*g**h - g + 3*g**2 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122102320 (base 4) in base 14?\nAnswer: 98ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 13) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(931)*3*-6 - (sqrt(684) - -2*(1 + sqrt(684))).\nAnswer: -144*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r - 2*r + 2*r - 41.\nAnswer: -r - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -0*i - 12. Suppose -i*f = -4 - 2. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.34 and -12.344.\nAnswer: -16.54096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 108 = 2*p + 2*t, -2*t = 5*p + 298. Is 7 a factor of (-27)\/(-18) + p\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 3857304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14 - -6) + 18 - -4) + -1 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of 2\/11*q**3 + 1\/11*q**4 - 2\/11*q + 24 + 0*q**2. Factor g(k).\nAnswer: 2*(k + 1)**2*(2*k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/(-6))\/((-16)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 11247  (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26653177*a*u*w**3 - 2*a*u*w + 2*a*w**2 + 6058035*u*w**2 wrt w?\nAnswer: -159919062*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 352 + 34. Suppose -4*s - 2*x + 260 = 0, -5*s + x = 68 - n. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 552 and 15042.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - -7 - (-15 + 18 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (42\/(-36))\/7 + (-17)\/42. What is the nearest to 1\/9 in 1\/7, -0.4, -1, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 415757 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36 - -93. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15052 + 7508 + 740*v**3 + 375*v**3 + 7544.\nAnswer: 1115*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86 + 55. Let j = -34.3 - q. What is j rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 80 = -5*z, 0 = z + 2*g - 0 - 14. Let i be (-4)\/(-2) - (4 - 0). Let k = i - -14. What is the greatest common factor of k and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 - 11*n - 9. Let k(g) = g**2 - 1. Let b(c) = 2*k(c) + u(c). Let w(l) = -2*l**2 + 6*l + 6. Suppose 0 = 2*a + a + 18. Give a*b(s) - 11*w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + 197 + 848 = 0. What is the remainder when f is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 18 = -3*n - 3*i, 5*n + 5 = -5*i. Suppose -r + 8*a + 1641 = 4*a, n*a = 8. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1475*u + 137 = 1612*u. What is the biggest value in u, -0.1, -5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -w**3 - 4 + 1 + 2 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1761 - 592 + 274 - 2286 - 787)*(2*a**4 - 3*a**4 - a**4).\nAnswer: 10304*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860796?\nAnswer: 2, 3, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 36463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + r**2 - r + 45. What is z(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4, -0.5, 0.3, 3\/5, -285\/22, -0.3, -5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2. Let a be (-162)\/(-63) - 4\/7. Let j(l) = -15*l**2. Let k(p) = a*x(p) - j(p). Let s(d) = d. Calculate s(k(h)).\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(1 + 1 + -5). Suppose 44 = -p*s + 13*s. Calculate the lowest common multiple of s and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 859*z + 366. Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(0*w**2 + w**2 + 0*w**2 + (4 + w - 4)*(2*w + 0*w - w) - w + w**2 + w + 2*w**2 - 3*w**2 + 2*w**2 + 1 - 1 + 2*w**2 - 7 + 7 + 8*w**2).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_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 j - 4*o + 10 = -4*j, -21 = 2*j - 5*o. Let x(y) = 3*y**2 - 2*y**j + 8*y + y - 5 - 3*y. Suppose 19 = -4*z + f, -2*z - 7 = 2*f + 5. Determine x(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + o**2 - o - 2. Let i be n(-2). Which is the nearest to 2?  (a) 0  (b) -13  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t + 2*t + 110 - 18.\nAnswer: 2*t + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-71)\/142)\/(46\/1))\/((-595)\/(-120) - 5).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1816 - 447 + 12*x**2 - 465 - 451 - 399*x**2 - 451.\nAnswer: -387*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1323 divided by 4180\nAnswer: -1323\/4180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 24 = -4*r, -4*r = r - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.00249 * 16.1.\nAnswer: 0.040089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 + 0)*(7*z + 4*z + 4*z + (-8*z + 2*z + 0*z)*(3 - 7 + 16)) to the form u*z + i and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 22344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 7*d**2 - d - 7. Let y be p(0). Let s(i) = 10*i**2 - 4. Let n(h) = 44 + 19*h**2 - 26 - 25. Calculate y*s(k) + 4*n(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3088, -3255, -3540, -3949, -4488, -5163, -5980?\nAnswer: -6945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -46*t**2 - 4*t - 2. Let x(q) = 48*q**2 + 5*q + 3. What is 3*v(f) + 2*x(f)?\nAnswer: -42*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.602 + 0.098. Let a = 2644 - 2650.036. Let w = a + r. What is w rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7780194, 7780191, 7780188, 7780185, 7780182, 7780179?\nAnswer: 7780176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.685 - -0.025. Let n = q + -39.14. What is n rounded to 0 dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 11 + 4, h - 3*v = 61. Calculate the highest common divisor of 8 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6010 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 723.92 - 724. Which is bigger: l or -8\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 25 - 13 + 1040*d - 6 to the form t*d + p and give t.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, m: 11, n: 2, h: 1}. Give prob of sequence nb.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 168, 0.3, 1\/59, -0.01, -0.3, 5 in decreasing order.\nAnswer: 168, 5, 0.3, 1\/59, -0.01, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + 0*t + t)*(-3444 - 3030 + 1990).\nAnswer: 4484*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1.4, 1614, 3, -0.5, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -6*(sqrt(45) + 1) - (1*(sqrt(125) + 1) - sqrt(125) - ((0 + sqrt(125) - sqrt(125)) + 2)))*4)**2.\nAnswer: 2304*sqrt(5) + 26176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 23 = 43, 10*f = -m - 44 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 99.6, 3, 4 in decreasing order.\nAnswer: 99.6, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - ((6 - (-5 + 8)) + -11 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.0192 or -10.2587?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 21 - -2 - ((-19 - -23) + 10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + 8. Let i(u) = -u - 1. Let r(l) = 5*l + 2. Let a(n) = 4*i(n) + r(n). Calculate a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -18\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4456*f**2 + 5570*f.\nAnswer: -8912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 88 - 454\/5. What is the common denominator of y and 2022\/(-462) + (-15)\/(-165)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31684958 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v + 2. Suppose -3*h + 16 = h. Suppose h*i - 13 = -37. Let z be p(i). Calculate the highest common divisor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5*u + 303 = -93, -5*o + 1980 = -3*u. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.025  (b) -4101  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + k + 2 + 12, 4*k = -3*u - 20. Let p = 6 + u. Suppose -d - p*d + 21 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*i*t**3*y + 4*i*t**2 - 258*i*t*y - 2*i*t - 27*t**3*y - 6*t**3 + 1100*t + 2 wrt y?\nAnswer: -4*i*t**3 - 258*i*t - 27*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 - 83. Let m = 259 + -82. Let j = s + m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3538.9 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 2*l + 201, 28*u - 32*u + 2*l = -168. Solve 12*q = 19 + u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 147128*k**4 - k**3 + 36*k**2 + 4398*k.\nAnswer: 3531072*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2548 and 54236?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*z**3 - 208 - 112 + 95 + z**2 + z**2.\nAnswer: -169*z**3 + 2*z**2 - 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 65, 131, 187, 227, 245, 235, 191, 107?\n\"Answer: -i**3 + i**2 + 70*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 219765648*b**3 - 446725832.\nAnswer: 659296944*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**4 + y**4 + y**4)*(-2 + 0 + 1) + y**4 - y**4 + y**4 - 5*y + y**4 + 5*y + 7*y**4 - 3*y**4 - 2*y**4 - 2*y**4 + 8*y**2 - 513*y + 513*y.\nAnswer: 4*y**4 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-35))\/(13\/(637\/70))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -645 + 927. Suppose -564 = -2*l - 5*i, -3*l + 2*l + z = -5*i. Let n = -47 + l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14503 + -14503.1. Suppose 5*c - 5*q = -25, q - 25 = -3*c - 4*q. Suppose -4*d - m - 4 = c, -d - 6*m + 18 = -m. What is the nearest to -0.1 in d, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-2 - (3 - -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 + -7. Let t be (2 + 0)\/(163\/(-55) - -3). Let d = 138 - t. Calculate the remainder when d is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/161?  (a) 0.73  (b) -0.2  (c) 5  (d) -0.19  (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w**2 - 2*w**2 - 2*w**2 + 2 - 3*w**2 - 2 + (2*w - 1 + 1)*(2*w - 6*w + 2*w) - 7 - 15*w**2 + 7)*(-2*w**3 - 5*w**3 - 2*w**3).\nAnswer: 189*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 101120210212022?\nAnswer: 101120210212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2*a - 36. Let w be j(19). Suppose 0*s - 1402 = -w*s. Suppose 3499 = -p - s. Round p to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 222215173.\nAnswer: 149, 1491377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.18 + 1.28. Let b = -0.9 - t. Let i(l) = -2*l**3 + l. Let s be i(-1). What is the closest to s in -4, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1224))\/(2*sqrt(32)))**2 - (-3*(sqrt(1088) - sqrt(1088)*1) + -3).\nAnswer: 201\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94363 is divided by 964.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 750.7339mg?\nAnswer: 0.0000007507339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 4*a + 20 + 4, 0 = 3*n - a - 8. Suppose x = 1, -x = -5*r - 0*r + 14. Suppose r*p = 3*t - 45, -4*t = -2*t + n*p. Solve t = m + m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14.66?  (a) -4  (b) -3\/4  (c) -0.4  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 69, 66, 63, 60, 57?\n\"Answer: -3*b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 19. Let c be y(0). Does 6 divide (13 - 8)*c\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 + -25.023. Let f = s + -0.08. Round f to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 22549112, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 14*t**3\/5 - 1528*t**2 + 1041222*t\/5 + 298116\/5 = 0.\nAnswer: -2\/7, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12.78 - -12.68. Sort b, 0, 2, -4 in increasing order.\nAnswer: -4, b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -21 + 1. Let b(h) = -4*h**2 + 3*h**2 + l*h**2. Let d(g) = g. Calculate b(d(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -135*v - 3282 + 2472 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*i - 5*i + 2*i + (5 + 6 - 5)*(0*i - 4*i + i)*(-7 + 2 + 3) in the form d*i + w and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14004230.\nAnswer: 2, 5, 1400423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 8*s**2 - 7*s - 3. Let n(m) = -7*m**2 + 6*m + 3. Give 7*n(v) + 6*y(v).\nAnswer: -v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2 - 1109228*a + 307596688996.\nAnswer: (a - 554614)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*f + 139*f + 8375 = 11*f - 189*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 344 = -5*m + 964. Let j be -65 + -7 + 17 + -1. Let o = j + m. Is o a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 314 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, s: 2, d: 1, v: 1}. What is prob of sequence ov?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of 0 - 1\/72*x**4 + 0*x**3 - 1\/360*x**5 + 1\/720*x**6 + 0*x - 2*x**2. Find j, given that n(j) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1565227 is divided by 770?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 24 divided by 3938114\nAnswer: 12\/1969057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-11)\/((-33)\/90) - -1. Let y = j - 29. Find the second derivative of 10*f - y*f**2 - 12*f - 4*f wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148485 is divided by 148463.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of a**8\/168 + a**4\/24 - a**2. What is the second derivative of t(r) wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5298472313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 5*s**3 + 183*s**2 + 470*s + 214. Determine o(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n. Let a(c) = -93*c**2 + 4*c + 8. Let m(t) = -94*t**2 + 5*t + 10. Let k(r) = -5*a(r) + 4*m(r). What is i(k(y))?\nAnswer: -89*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 8) to base 2.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**2 - 717260452*s + 64307819500405538 = 0.\nAnswer: 179315113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/1920 and -85\/288?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 987540 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 114 + -29. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9438 + -9437. Which is smaller: -6961 or q?\nAnswer: -6961","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccscccccccccccccc. Give prob of sequence sc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-4)*(-4)\/3. Let x be i\/6*(2 + -11). What is the remainder when 27 is divided by 6\/(-9)*x*-7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 42891162 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 6*t**3 + 228*t**2 + 2*t. Let k(d) = -d**3 + 2*d. Let p(i) = -f(i) + k(i). What is the third derivative of p(v) wrt v?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n. Let b be (-1)\/(2\/1)*(-10)\/5. Let i(k) = -7*k. Give b*i(g) - 4*c(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 264169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 288 - 307.4. Let h = p - -21.4. What is the biggest value in h, 3, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r. Suppose 0 = -321*a + 69 + 657 + 558. Let x(m) be the third derivative of 7\/3*m**a + 0 + 27*m**2 + 0*m + 0*m**3. What is g(x(d))?\nAnswer: -56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 - 11. Let o = r - -1. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v**2 + 0*v**2 - 10*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 544500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133*g + 140*g + 133 = 0. Let f(m) = m**3 + 21*m**2 + 17*m + 19. What is the units digit of f(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-36)\/8 - -5) + 2\/(-12). Which is the nearest to -0.1?  (a) -1\/4  (b) n  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1404 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 11*k + 13. Let u be t(10). Let p be (-309)\/(-21) - (-4)\/14. Suppose q = -u, 3*v + p = q - 2*q. Sort 4, -1, v in descending order.\nAnswer: 4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -278203, -556410, -834617, -1112824, -1391031?\nAnswer: -1669238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 268, 276, 296, 334, 396?\n\"Answer: t**3 + t + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/45 and -68\/33?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 6 = -2*o, 3*b + 2*o = 6*o - 12. Suppose -20 = -4*f - 0*f. What is the third derivative of 0*h**4 - f*h**4 + b*h**4 + h**2 wrt h?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -7*c - 8. Let v be x(7). Let z = -32 - v. What is the greatest common factor of 25 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5.8, -0.4, 10, -0.5, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -16*j**2 - 5*j + 22. Let l(v) = 31*v**2 + 9*v - 44. Let q(g) = 4*l(g) + 7*y(g). Let b(t) be the first derivative of q(t). Does 11 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2816?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 23*z**2 + 30*z - 362. Determine m(-25).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*w - 361418 = 0, -l - 4*w + 7*w = -72276. What is the ten thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 187306704 divided by 800456.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2585*j = 2575*j + 60 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10555 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13760 + -13243. What is the highest common factor of 77 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q - y = 31, 39*q + 0*y + 3 = 2*y + 170 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1d28f (base 16) to base 7.\nAnswer: -1005135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 642601837 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 7254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1971 - 1971. Let a be ((-130)\/14 - -9)\/((-3)\/(-7)). Put a, -3\/5, t, 3 in descending order.\nAnswer: 3, t, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 16*x**2 + 36*x + 3. Let w be t(-18). Let p(j) = -542*j**3 + 3*j - 7*j + 97*j**3 + 3*j**2. Let s be p(w). Round s to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 54307693325 and 85.42.\nAnswer: 54307693410.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (43907\/2093 - 21)*213\/18 + 1\/(-21).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3643 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -6, -30, -64, -114, -186, -286, -420, -594?\n\"Answer: -q**3 + q**2 - 20*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 71, 97, 141, 209, 307, 441, 617?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1465 + -1459. What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 775954 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 16*w = -10. What is the nearest to -13 in 1, -2, w, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 9, g: 3}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16695 by 444.\nAnswer: -5565\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.01 - 4.1. Sort -0.07, n, -0.5.\nAnswer: -0.5, n, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + f - 11 = 3*g, 4*g - 16 = f. Suppose -50 = -g*w + 16. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 7*x + 170. Let a be l(-22). Suppose 5 + a = 7*y. Solve -3*f - y*w + 3 + 3 = 0, 5*w = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 0*f + 20 = -4*f, 0 = 4*f + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -212063 bigger than -424127\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in 10\/9, 0.5, 0.4?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 k when four letters picked without replacement from {k: 1, p: 4, m: 6, d: 3, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 202468714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 11, 8, 5?\n\"Answer: -3*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -1. Let i(p) = -p + 9. Let j(q) = 2*i(q) + 18*t(q). Let u(a) = -5*a**2. What is j(u(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2*a**3 - 7*a**2 - 5*a - 1. Let g be f(-4). What is the greatest common divisor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14, 98, 320, 752, 1466, 2534?\n\"Answer: 12*d**3 - 3*d**2 + 9*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ue when two letters picked without replacement from eeuuee?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -41498*i - 5. Let y(t) = -124495*t - 14. Let a(v) = 8*h(v) - 3*y(v). Let b be a(-2). What is b rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-3) - -1*3. Let j(h) = h**3 - p + 2*h + 7*h**2 + 0 - 3*h. Let n be j(-7). Solve -z + 25 = n*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03687 * 4\nAnswer: 0.14748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5995*i**5\/4 + 602*i**4 + i**3.\nAnswer: i**3*(5*i + 2)*(1199*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 1188593 and 1188592 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.27 + -0.3. What is the third smallest value in u, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 + -162 + 128 - (29 - 3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 4699878 and 4699877 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 156476, 5, 3\/5.\nAnswer: 3\/5, 5, 156476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -69 + 68.879. What is v rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -39*z + 5. Let x(p) = 19*p - 2. Determine -10*x(j) - 4*y(j).\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1106, -3173, -6588, -11351, -17462, -24921, -33728?\nAnswer: -43883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 591\/14 - 81\/2. Factor -k*b + 2\/7*b**2 + 18\/7.\nAnswer: 2*(b - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 991180*l - 3964711. What is a(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, w: 5}. What is prob of sequence ww?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**2\/9 + 1210*u\/9 - 8924\/3 = 0.\nAnswer: 23, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 3*o - 2*o)*(6 + o + 0 + 3).\nAnswer: -o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 19 - ((-26 - -17 - (-19 - 1)) + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/18)\/(-33 + (-24653)\/(-801))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 19. Suppose -44 = -o*g + 4*g. What is the remainder when 85 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 5*z**2 - z - 4. What is m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/4  (b) -1\/65  (c) -1057  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 4995\nAnswer: 1\/1665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 43020 and 8160894?\nAnswer: 81608940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*(k*k**0)\/k*k)**(-39)\/(k**(-3\/7))**(2\/19) assuming k is positive.\nAnswer: k**(-15555\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 573 - 2553 = -45*p. What is the remainder when p is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 2*l**4\/5 - 420*l**3 + 18778*l**2\/5 - 8328*l = 0.\nAnswer: 0, 4, 5, 1041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3062 - -4938. Suppose a = 7*d - 5*d - q, -5*q - 10 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 9  (b) 0.5  (c) 0.01  (d) -0.1  (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j + 2*j**3 - 2*j + (-j**2 - 5 + 5)*(-40 - 41 - 7)*(-2*j + 4*j + j).\nAnswer: 266*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(4 - (28\/2 + -9)). Is 159\/161 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24451, -48903, -73357, -97813, -122271, -146731?\nAnswer: -171193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8*1\/2)\/(4 - 2). Let m = 23 + -19. Suppose -n*i = 4*g + 3 - 15, m*g + 5*i = 0. Solve 0*y + g*k = -3*y - 5, -4*k - 21 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - 3*w**2 + 11*w + 10. Let c be x(-5). Suppose -5*v = -15, -5*i + 1135 = c*v - 115. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -1.2, -1\/7, -4, -2\/39 in ascending order.\nAnswer: -4, -1.2, -2\/9, -1\/7, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + 9. Let a = 4 - 3. Calculate the remainder when v is divided by (1 + a - -4)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28.1 * -0.2.\nAnswer: 5.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8896*a**5 - 63937*a**5 + 0 + 0 - 51870*a**5 - 132785*a**5 + (-6*a**2 + 5*a**2 + 0*a**2)*(0*a**2 + 0*a**2 - a**3) + 0 + 0 + a**5.\nAnswer: -257486*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.6 + 1.6. Let f = 0.4 - -0.4. Let o = f + a. Is -2 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 36*r + 10. Suppose t + 11 + 13 = 5*h, -5*h + 4 = 4*t. Let n be -3 + h + -1 + 8. Is g(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o + 130 = 130 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*s = 9844 + 16731. Does 1063 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 + -425\/9. Let x be 2\/8*3\/(-2). Which is the third smallest value?  (a) x  (b) 2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13141 divided by 3.\nAnswer: 13141\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 17860 divided by 1?\nAnswer: 17860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**5\/3 + 2*x**4 + 26*x**3\/3 - 10*x**2 = 0?\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, v: 4, r: 9, i: 1}. Give prob of picking 1 r and 1 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phkpkpphphkkkdp. What is prob of sequence php?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 11*o + 13. Let n be g(-10). Suppose y = n*y - 4. Suppose -y*p + 7*p = -8500000. Round p to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of -185*o**4\/6 - 10*o**3\/3 + 6*o**2. Let g be k(7). Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 13*j + 4. Suppose -2*d + d + 9 = j. Let h(q) = 6*q - 1. Let m be h(2). Solve d + m = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8293*y**6 + 8*y**2 + 240*y - 2 wrt y?\nAnswer: -995160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13\/70 + 3\/14. Let u = -6 + 3. Let t = -0.264 + -1.736. Which is the closest to t?  (a) y  (b) 3\/4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 z, and 1 s when three letters picked without replacement from {c: 4, l: 2, n: 1, s: 4, x: 2, z: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -464333*v. Let j(i) = 62*i**2. Give j(c(r)).\nAnswer: 13367518363118*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 95060\/11 or 8641?\nAnswer: 8641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 3*f + 14 = 0, 10 = 2*g - 5*g + 2*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 399 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 706*i + 3 + 681*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 389726597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-4) + -2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f**3 - 14092025*f**2 + f + 18481976 wrt f.\nAnswer: 3*f**2 - 28184050*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23c9b2 (base 13) in base 14?\nAnswer: -1840c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 - 5*z - 2. Let d be q(6). Suppose 9*j - d*c - 36 = 4*j, 0 = 4*j - 3*c - 29. Let k be j\/(-12)*3\/2. Put 4, k, 1 in descending order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 34343100695\/1751272 + -6\/218909. Let x = 19740 - l. Let t = x + -131. What is the common denominator of -43\/51 and t?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 210, 744, 1666, 3018, 4842?\nAnswer: 7180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 40*t**6 + t**5 - 35*t**2 + 3*t.\nAnswer: 4800*t**3 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 39490842 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111100011000111 (base 2) to base 15.\nAnswer: -13d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 + -13. What is the remainder when 32 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 + 117 = -9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + 1 + (-1 - (-4 - -18))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3282 is divided by 157?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 52, 0.1, 1, -0.4 in ascending order.\nAnswer: -0.4, 0.1, 1, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -122561.007\nAnswer: -245122.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**4 + 4530*t**3 + 1368060*t**2 + 137718040*t = 0. What is t?\nAnswer: -302, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -b2 (base 12) to base 15\nAnswer: -8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 881 - 577. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-85036)\/(-63) - 4\/2. Suppose -4*l - l = 4*b + 5429, 3*b + 4033 = 4*l. Let g = b + f. What is the common denominator of g and 9\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 1122?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1012680437?\nAnswer: 149, 449, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 14*a**3 + 25*a - 6. Let h(b) = 2*b**3 - 1. Determine 6*h(u) - w(u).\nAnswer: -2*u**3 - 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of s**4\/24 + s**2. Let u(m) be the first derivative of -m**2\/2 - 3*m - 201749. Give u(w(i)).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -7*l. Let v(w) be the first derivative of -2*w**2 + 141. Calculate 3*h(q) - 7*v(q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 - 2*d + 5. Let j(r) = -7*r + 15. Let u(o) = -o**2. Let s(q) = -j(q) - 4*u(q). Let k(f) = -7*n(f) - 2*s(f). Give k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2777*l**3 + 2*l**2 - l. Let b = 31 - 14. Let k = -20 + b. Let z be x(k). Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 8*z**2 + 34*z - 6. Let w be c(-5). Calculate the greatest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -9*t**3 - 7*t**2 - 13*t. Suppose 0 = 6*c + 17 + 31. Let s = c + -3. Let l(v) = 5*v**3 + 4*v**2 + 7*v. Give s*l(r) - 6*m(r).\nAnswer: -r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 + 27*f**2 - 33*f - 231. What is l(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*15\/132*16716\/(-216910). Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tyhtthhhhthyhhth.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w**2 + 121*w + 1517. What is u(-14)?\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 67152?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33141*x + 16*x**3 - 18096*x + 69335*x - 18098*x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(88) - (sqrt(88) - (sqrt(88)*2 - sqrt(88)) - sqrt(88))*1)\/((sqrt(64)*1)\/sqrt(8)).\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*f + 325 - 553 - 552 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 34006.7 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 27405 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 296*z**5 + 82515*z**2 + 38*z + 29517?\nAnswer: 5920*z**3 + 165030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4363095727 rounded to five dps?\nAnswer: 1.43631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 624 and 2294736?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffvm when four letters picked without replacement from {h: 1, v: 2, m: 1, g: 2, f: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7\/100 + -8\/25. Let x = -5\/7 - -1\/21. Put j, -5, x in descending order.\nAnswer: j, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 8 = 7. Suppose 20 = -q - 3*q. Let n = 8 + q. What is the greatest common factor of n and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (1 - (-6 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -y - 12*y + 91 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -14*c**2 - 19*c + 53. Let p(y) = 5*y**2 + 6*y - 18. Let k(q) = -17*p(q) - 6*u(q). What is the least common multiple of k(8) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*m**3 - 3*m**3 + 5*m**3 + ((3 - 5 + 4)*(-3*m + 0*m + 0*m) - 6 - 2*m + 6)*(m**2 - 4*m**2 + 2*m**2) in the form z*m + h + a*m**2 + j*m**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 177931446 - 5?\nAnswer: 177931441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 109, 17\/6, -4 in increasing order.\nAnswer: -4, 17\/6, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6659, -13123, -19115, -24401, -28747, -31919, -33683, -33805?\n\"Answer: 39*y**3 + 2*y**2 - 6743*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*v - 6*v - 4*v)*((6*v - 3*v - 2*v)*(-v**2 + 4*v**2 + 0*v**2) - 3*v**3 + 5*v**3 + 0*v**3) in the form z*v**3 + b*v**2 + x + r*v + w*v**4 and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5041303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 986499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49403, 98820, 148233, 197642, 247047?\nAnswer: 296448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 6745*v + 710. Let f(n) = -2*n - 1. Let z(q) = d(q) + 710*f(q). Let x(r) = 2*r**2. Give z(x(u)).\nAnswer: 10650*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 192*h**4 - 22620048*h**3 + 39584403*h**2 + 10956417*h + 706866 = 0.\nAnswer: -1\/8, 2, 117811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*n - 43*n = -26*n - 355 - 970 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {b: 1, x: 4, r: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.09 to two dps.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 18811 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 2194098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 42 - n**4 - 10*n**2 - 42 + (2*n**3 - 2*n**2 + 2*n**2)*(2 - 2 + 2*n).\nAnswer: 3*n**4 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(3\/2)*w**(-2\/15)*(((w\/(w*w**9*w*w*w))\/w)\/w)**6 assuming w is positive.\nAnswer: w**(-2449\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 1 = 3*h, -3*m + 2*m = 3*h + 13. Sort 1, m, 4 in increasing order.\nAnswer: m, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 + (-34 - -22 - 10) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 847 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4961*i + 4886*i + 75 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -g**5\/20 - 19*g**3\/3 - 26*g**2. Find the first derivative of c(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3511368 and 4.369?\nAnswer: 3511363.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of 0*n + 5\/3*n**3 + 0 + n**2 + 1\/24*n**4. What is the smallest common multiple of q(-6) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 61\/(-6) + (-3)\/(-18). Calculate the smallest common multiple of (-1 + -5)*1\/2 - n and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4301 (base 13) to base 15.\nAnswer: -2b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -361671*n**3 + 723336*n**3 - 361664*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -3, 9, 3, -46 in increasing order.\nAnswer: -46, -3, 3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6294.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c**2 + 2*c**2 - 9*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-5*sqrt(375)*2)\/(sqrt(2000)*2*-1 + sqrt(2000) + sqrt(2000) + sqrt(2000) + sqrt(2000)).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1900714?\nAnswer: 2, 950357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 7:20 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30288 and 16.\nAnswer: 30288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 220 = -5*d, -2*b + 2*d - 180 = -6*b. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 7*z - 91. What is a(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132356 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*t**3 + 6*t - 12*t**3 - t**3 + 11*t**3 to w*t**3 + r + i*t**2 + y*t and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 24. Suppose 3*p - 26 - 7 = -2*b, b = 5*p - 3. Calculate the greatest common divisor of b and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -57*m**3 + 48. Let n(t) = -t**3 + 9*t**3 - 15 + 3 + 6*t**3. Let u(y) = -5*j(y) - 21*n(y). Differentiate u(x) wrt x.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 6*d - 2*d, 4*k - 332 = 4*d. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (-1045)\/(-115) - ((-5166)\/161 - -3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p + p + 2*p + 211*p**2.\nAnswer: 211*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17b13 (base 12) to base 2.\nAnswer: 1000011001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t**3)\/t)\/t)**(-32\/3))**(1\/19)\/(t**(-4)*t*t**(-4)*t*t*t\/(t**(-2\/3)\/t)*((t*t*t\/t**(-3))\/t)\/t) assuming t is positive.\nAnswer: t**(-53\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*o - 4*o + 1 - 18*o**3 + 53*o**3 wrt o?\nAnswer: 210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 2*m = -20, -40*z - 15*m + 77 = -39*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g**3 + g**2 - 2. Let h be x(2). Let d be 5\/(-2)*h\/(-15). Solve 5*p + 5 = -d*n - 22, 0 = -5*n + p - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, r: 1, a: 3, k: 1, g: 2, h: 8}. Give prob of sequence aa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17213 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 5*s**3 + s**2 + s - 1. Suppose -2*a + f + 19 = 6*f, f = -2*a + 7. Let o = -1 + a. What is the remainder when 16 is divided by w(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22198?\nAnswer: 2, 11, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 76\/(-10) - 2\/5. Let g(w) = 2*w**2 + 4 + 2*w - 2*w + w. Let f(h) be the second derivative of h**4\/2 + h**3\/2 + 11*h**2\/2 + 4*h. Give z*g(m) + 3*f(m).\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2778*n + 931*n + 908*n + 966*n.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 6*u - 9. Let i(n) = 3*n**2 + 17*n - 26. Let o(a) = 2*i(a) - 7*r(a). Let h be o(-9). Put -1, h, -2 in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) - (sqrt(1500) + (sqrt(1500) - sqrt(1500)*-2)))\/(sqrt(540)\/sqrt(5)).\nAnswer: -19*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 130 * -15.\nAnswer: -1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 721 divided by -1.\nAnswer: -721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*w - 1)*(-159 + 406 - 181 + 1101) to the form g + v*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2429849007.\nAnswer: 3, 23, 11738401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 1*4 + -1. Suppose 0 = 2*b + 6. Let q be 2\/6*(-6)\/b. Which is greater: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29810.99963994 + -29811. What is l rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r + 8*f + 2, 2*f + 4 = -3409*r + 3406*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 850*y + 16658. Determine r(-20).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 396, 1547, 3414, 5991, 9272, 13251?\n\"Answer: -v**3 + 364*v**2 + 66*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.3 * -0.049.\nAnswer: -0.0637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1295 + 9067\/7. Which is the nearest to 9\/2?  (a) s  (b) -0.1  (c) -1  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q + 15 = 11*q. Suppose -q*t = m - 35, -2*m - 37 = -4*t - 9. Suppose -t = -z + 6. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h + 5*h - 2 - 6 - 6.\nAnswer: 6*h - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 AM and 5:27 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -65a039 - 5?\nAnswer: -65a03e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m + 2*m - 3*m**2 + (0*m - 4*m + 3*m)*(-2*m + 2*m - m + (0*m + 3*m - 4*m)*(1 - 4 + 2) + 2*m - 3*m - 4*m - 2 + 2 - 2*m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - -11018.009979465.\nAnswer: 11029.009979465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*c + c, b - 3*c = -12. Let t be b\/(1 - 3) + 3. Suppose 0 = n + 4*u - t, n - 9 = -5*u - 3. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -3. Suppose m = -n + 6 + 5. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 - 170\/15)*-99. Let b = o + -722. Solve -11 = -b*s - 3, 0 = -u + s - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14324559.\nAnswer: 3, 683, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z + 1344 = 13*z. Suppose 5*o - z = -3*o. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*k**3 + 56*k**3 - 48*k**3)*(2*k**2 - 3 + 3) + 47*k**4 - 22*k**5 - 47*k**4.\nAnswer: -58*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyk when three letters picked without replacement from kkkykyykkkkk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-two fifths of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 68*l**3 + 16*l**2 + 10*l + 29. Let v(m) = -60*m**3 - 17*m**2 - 9*m - 26. What is 8*s(t) + 9*v(t)?\nAnswer: 4*t**3 - 25*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 8*g = 2160. Calculate the highest common divisor of g and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2478617 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k + 4. Let u(g) = -4*g + 8. Let z(v) = 5*s(v) - 3*u(v). Let i(a) = 1. Give 3*i(d) + z(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -332*j - 863 = 1129 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -3. Suppose r - 10*r + 270 = 0. Let d be ((-14)\/(-15))\/(-7) + 4\/r. Solve 2*p + l = -4*w - 5, d = -4*w + 4*p - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -226 = -4*y - 214 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 12, h: 6}. What is prob of picking 2 h?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5730 or -5788?\nAnswer: -5730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 26 divided by 37\nAnswer: 26\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 13*i - 224. Let t = -32 + i. Solve -3*r + 25 = -4*c + 2*r, 2*r - 2 = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-140)\/(-18) + (-4)\/(-18). Suppose 3*j = 4 + l. Suppose -2*d = j*v - 36, d + 2*d + v = 34. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -7*x**2 + 44*x - 110. Let u(q) = -q**2 + 2*q - 5. Let l(o) = f(o) - 6*u(o). What is l(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-20)\/8 - -3)\/(2\/(-8)). Let w(o) be the third derivative of o**5\/60 + o**4\/24 + o**3\/2 - 3*o**2 - 6*o. Give w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4804\/16814)\/((-2)\/70)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 50*k**2 - 67*k wrt k?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 6 + -26 + -8?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -125485, -501928, -1129333, -2007700, -3137029?\n\"Answer: -125481*c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 98712364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 158*s**2 + 299*s + 2111. List the prime factors of x(156).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-24)\/(-90) - 4\/6. Let l = 0.1 - 0. Put l, -1\/4, i in descending order.\nAnswer: l, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - g - 34*g**2 + 12 + 31*g**2 in the form x + t*g + s*g**2 and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 664?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -811\/4 + 130563\/644. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -7*x + 556*x**2 - 557*x**2 - 2 + 9*x. Let m be 22\/5 - 4\/10. What is f(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2876*k**5 - 6*k**4 - 506*k**3 - 150427553*k**2?\nAnswer: 172560*k**2 - 144*k - 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29 - 30. Which is smaller: d or -2\/97?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9 + -2732?\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12993.6 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.03, -4\/3, 3\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7\/1153 - 47077\/32284. Let l be 5 - 2 - (-108)\/(-14). Let x = l - i. Calculate the common denominator of x and 71\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 109*p**2 - 61*p + 6068. Let x be u(-110). What is the greatest common divisor of 3616 and x?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*x - 81*q + 339, -858*q - 231 = 5*x - 855*q for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 0*w - 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1559 + 1579 + 0 + 6 + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, h: 2}. What is prob of sequence mh?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 191527, 191549, 191571, 191593, 191615?\nAnswer: 191637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 - c**3 - c**4)*(-5 + 27*c + 5) + (-2*c**3 - 2*c**5 + 2*c**3)*(-2 - 4 - 8).\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of n**3 + 6*n**2 + 0 + 1\/16*n**4 + 19*n. Factor k(z).\nAnswer: 3*(z + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mi when two letters picked without replacement from izzyzylzyzml?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 9  (b) -2\/21  (c) -153  (d) -261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.01 - 0.14. Let k = 0.35 - f. Is k != -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4781 and 56?\nAnswer: 38248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of m**4\/6 - 7*m**3\/6 + 8*m**2 + 8*m. Let x be w(12). Let s = 347 - x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81.91516*-0.11\nAnswer: 9.0106676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by -221.\nAnswer: -33\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110110 + 11100101?\nAnswer: 1000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 8 + u**4 + (5 - 2 - 4)*(-2*u**2 + 0*u + 0*u)*(2 - 9*u**2 + 8*u**2 + 5*u**2).\nAnswer: 9*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -68\/5, 0, -9, -4?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -66.85398 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29 - 14*x**3 - 14 + 1960755*x**2 - 1960762*x**2 to the form p*x**2 + n*x + q*x**3 + d and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46\/(-368)*(-16)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -38, 0, 2121, -5, 4 in decreasing order.\nAnswer: 2121, 4, 1, 0, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w - 1. Let f be o(7). Let s(z) = -2*z + 6. Let c be s(6). What are the prime factors of c\/f*(-5 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and 2568027700485.\nAnswer: 2568027700489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + (1*(-2*sqrt(11))**2 - (sqrt(11)*-1 + sqrt(11))*-3)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 117534230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 13 + 22 + -7 + -6 - 11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 9*h**3 + 3*h**2 + 5*h + 5. Suppose -4*x + 3*x = 3*a + 8, -4*a - 19 = 3*x. Let d(n) = 5*n**3 + 2*n**2 + 3*n + 3. What is x*d(j) + 3*b(j)?\nAnswer: 2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 64 by -28.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -11698147 and -11698145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1224\/112 + 22\/(-4)*2\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, a: 2, f: 2, b: 3}. What is prob of sequence affb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/50 and 27\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -69 + 71. Let -6 + 129*i**3 - 3*i + 9*i**2 + s*i**4 - 126*i**3 - 5*i**4 = 0. What is i?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/21219 and -10\/11?\nAnswer: 21219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29 - (-11 - -15 - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) 3\/2  (c) -0.4  (d) -0.2  (e) -2483777\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-32)\/56)\/(-2 + 0). Let z = 8\/11 + -13\/33. Which is the closest to -0.2?  (a) -4  (b) z  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22 - 18. Solve 2*n + j*c = 0, -5*n - 5*c + 6 + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l - 2. Let y be z(2). Let o = 3 + -3. Let k be 29\/84 + 3\/(-12). What is the closest to o in 2\/7, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/5, -0.2, -5, -1\/4, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -8*x**2 - 94*x + 29. Let s be h(-12). Which is the third smallest value?  (a) -7  (b) 1\/6  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*m**3 - 3*m**3 + 3*m**3 + 3*m**2.\nAnswer: -16*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -4*x - 579 + 284 + 289. Give f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14853988 and 116?\nAnswer: 430765652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*u - 270 = -67*u - o, 4*o + 20 = 0. Suppose -15 = 3*f - 48. What is the greatest common factor of f and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 20. Let q = v - -7.4. Let s = -8\/3 - -7\/3. Which is the third smallest value?  (a) q  (b) 5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29486563.\nAnswer: 29486563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*o + 280 - 119 = -179. Factor 4*l + 0 + 1\/3*l**o - 1\/3*l**3.\nAnswer: -l*(l - 4)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + c = -k - 208, -5*c = 5*k - 220. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6993607?\nAnswer: 6993607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 20 = 4*f + 2*w, -5*f - 3*w = -1. Suppose -5*g + 2*r = 10, 5*g + 6 + 9 = 3*r. Let c(p) = -p + g*p + f*p. Let s(u) = -4*u. Give c(s(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 246726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*x + 5. Let n be (-5 - 0) + -1 + 2. Let t = n - -4. Put -2, t, x in decreasing order.\nAnswer: t, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-5))\/(2\/5). Suppose 2*g - 24 = 6*g. Let i be (-2 + 150\/81)\/(g\/9). What is the closest to i in 4, -3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -647655*w + 645799*w + 187456 for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 83*m + 447. Determine f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3253.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 - 30 - 52\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 10 + 4 = 0. Let l be y*6\/(-63)*3. Suppose -5*i - 42*v + 40*v + 28 = 0, 4*i - 4*v - 28 = 0. What is the greatest common divisor of i and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 239279 minus 336945?\nAnswer: -97666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 9*p + 92. What is the tens digit of j(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64 divided by -2734.\nAnswer: 32\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 (base 13) in base 14?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.5 + -0.4. Let o be ((-1081)\/46)\/47*(-1)\/2. Let h = 4 - 0. What is the closest to l in o, -0.1, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -478*a**2 - 3594 - 333*a**2 + 3595 in the form g*a**2 + w + d*a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4787 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 7 = 4*q - 2*u, -u = 5*q - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 2*f + 81 = 0, 3*u + 4*f - 99 = -0*u. Suppose 3*m + 5*l - u = 0, -2*l + 7*l = -10. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 206074 and 55?\nAnswer: 1030370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 11:34 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -212020201?\nAnswer: -212020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(17 + -6 + (-225)\/30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000003626 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 - -13. Suppose -6*j + 7*j - b = 0. What is the common denominator of 0 + j\/(128\/308) and -47\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 458526696 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 8*u**2 + 5*u - 4. Let a(n) = -1. Calculate 6*a(y) - b(y).\nAnswer: -8*y**2 - 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2296385 - 4616419 + 2320034 - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2112) - (sqrt(2112) - sqrt(2112)*1))*4*-1)\/(-2*sqrt(704)*3 + 3*sqrt(704)*1))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 1 - k + 2*k + 0*k. Let s be x(-6). Is (-154)\/s + (-3)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 50, 4, -3, 58\/3 in decreasing order.\nAnswer: 50, 58\/3, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 55*o**2 - 51*o + 167. Let h be g(-54). Let v(t) = 7*t - 4. Let d(n) = -6*n + 3. Let p(b) = -6*d(b) - 5*v(b). What is p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 744.0537 micrometers to nanometers.\nAnswer: 744053.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74990821*p**2 + p**3 + 74990821*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/(-6)*16*(-36)\/(-672).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -32, 2\/5, 1, 2\/7, -30 in ascending order.\nAnswer: -32, -30, -1\/3, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -29 + -9 + (3 + 11 - -6 - (3 - -4))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -7*c**2 - 5*c - 5. Let k(w) = -10*w**2 - 7*w - 7. Let y(a) = -7*j(a) + 5*k(a). Suppose -4*g = -0*g. Let b(d) = 0*d + g*d - 2*d. Calculate b(y(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11961799 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of -k**7\/35 + k**6\/60 - k**5\/20 - 9*k**3\/2 + k**2 + 198*k. What is the third derivative of x(n) wrt n?\nAnswer: -144*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(-495)*4)\/(12\/(-18))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29 by 22.\nAnswer: -29\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 163280 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 57 = -9. Let j = -12 + r. Calculate the highest common divisor of j and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 5) + 2 - -1. Suppose 16 = -3*o + 2*g, o + 2*g + 7 = 15. Put o, c, 1 in descending order.\nAnswer: 1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/20 - (-10)\/450. Solve 2\/9*f**4 + 0 + 4\/9*f**3 + 0*f + h*f**2 = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4153877565.\nAnswer: 3, 5, 19, 14575009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 51 = 4*x. Suppose -5*p + x + 54 = 0. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670430527 is divided by 770?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 23\/66  (b) 1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6997001 decades to years.\nAnswer: 6.997001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 11) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*p**2 + 3*p**2 - 4*p**2)*(59 + 703 + 3 + 498 + 857) to the form a + k*p + s*p**2 and give s.\nAnswer: 4240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4091 (base 12) to base 14\nAnswer: 27b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 351, 0.1, -0.5?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -5) + -6 - (-5 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 146*l**2 - 5*l - 9 + 3 - 77*l**2 - 70*l**2 = 0. What is l?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence li when two letters picked without replacement from iyalyio?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 6 = w. Let n be -4 + w*(-16 + 0). Let f be (-28)\/(-49) + 300\/14. What is the highest common divisor of f and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 - 60*i - 124.\nAnswer: (i - 62)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 11 + 2*2\/(-4). Suppose 2*i = -5*v - 3*i - d, 4*v + 2*i + 4 = 0. Suppose -3*o + 0*o + 12 = v. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from ymymmllyllmmyymlyly?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*a - 0*a. Let d(x) = 8*x - 8. Let q(b) = -7*b + 7. Give a*d(z) - 6*q(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 329, -6\/5, 4, 8, 6, 1\/5 in ascending order.\nAnswer: -5, -6\/5, 1\/5, 4, 6, 8, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*v**4 - 640*v**2 + 1142*v wrt v.\nAnswer: -24*v**2 - 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 4:25 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04806696 to 3 decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k**2 - 15*k + 8. Let u be o(-4). Solve 21*c - u*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72132?\nAnswer: 2, 3, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 5*f - 20. Let s be d(8). What is the second smallest value in 0.4, 0, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-3) + (-2)\/(-3). Suppose -2*c + 16 = -2*y, 2*c - 3*y + 3 - 25 = 0. Suppose 6*r - c*r - 6532 = i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 (base 9) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(152)*4)\/(sqrt(72)\/(sqrt(72)\/sqrt(8))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 121240552759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6 - 3) + -1 + 1 + -1. Suppose -x*u = -5*q - 194, -5*u + 485 = 4*q + q. List the prime factors of u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -0.1, 0.7, 1\/14, -210\/17, -2, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10291 and 697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 43*y**2 + 15*y. Let i(c) = 101294*c. Give i(h(p)).\nAnswer: 4355642*p**2 + 1519410*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1215315 is divided by 1219?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + 2 + 2 - 29. Let k be x\/(-80) - 1\/(-4). Factor -6\/5*n + k + 3\/5*n**2.\nAnswer: 3*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b**3 - 9*b + 4*b**3 + 15*b + b**2 in the form y*b + h + n*b**2 + i*b**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 679 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 0*v**3 + 0 + 0*v**2 + 1\/6*v**4 - 2*v. Let u(x) = -4*x. Let l(t) = -t. Let a(p) = 4*l(p) - 2*u(p). Calculate c(a(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*y = -84*y. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9661961?\nAnswer: 181, 53381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of -r**6\/120 - r**5\/15 + r**4\/12 + 2*r**2. Suppose -2*c - g - 7 - 6 = 0, -5*c = -3*g + 5. Determine a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 53 + -18. Let q = -83 + c. What is the common denominator of (-10)\/24*(-3 + -48) and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1847 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o + 4. Let m(h) = 3*h - 11. Let z(b) = 17*d(b) + 6*m(b). Suppose -9*y = 34*y - 215. Let g(i) = -i**3 - i**2 + 2*i + 5. What is y*z(j) - 2*g(j)?\nAnswer: 2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yfffffsysffsfs. What is prob of sequence yy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 + 12*y + 19. Is j(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1570951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 6 = -3*k. What is the smallest common multiple of 3 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-33)\/(-44) + 114\/(-24))\/4. Put -308, m, 2 in ascending order.\nAnswer: -308, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 6 + 3*u**2 - 4*u**2 + u**3 - 2*u**2 - 5*u. Let d be p(4). Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -123, -48 in increasing order.\nAnswer: -123, -48, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 4*z + 425, 2*z - z = 4*a - 573. Suppose 60 = -w + a. What are the prime factors of w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -2*l**3\/3 - 77359. Let o(q) be the first derivative of 10*q**3 - q - 1. Give o(f(h)).\nAnswer: 120*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 33 + 31. What is the units digit of 140\/a - (-3)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 364, 338, 314, 292, 272?\n\"Answer: u**2 - 29*u + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 424075542 and 9636.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) -0.3  (c) -1.9  (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51714*c - 27*c**3 + 32558*c + 77035*c.\nAnswer: -27*c**3 + 161307*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q**3 + 868 + 868 - 2607 + 871 + 5*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 247676 and 225160.\nAnswer: 2476760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 6*t + 4 = 0. Let g be -2 + 0 + 51 + t. Suppose -5*a - 3*d - 15 = -67, 0 = -5*a - 2*d + g. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.22109 + 0.07891. Sort -0.5, 2, -102, -5, l in decreasing order.\nAnswer: 2, l, -0.5, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + 46 + -19 - (-6 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.302 - 189.398. Let z = l + 28.7. Let n = z + 162.9917. What is n rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2376348743?\nAnswer: 2376348743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 121278, 242615, 363962, 485325, 606710, 728123, 849570, 971057?\n\"Answer: f**3 - f**2 + 121333*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34*39\/(-9945))\/((-2)\/5*2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h - 3*c + 1, -h + c - 1622 = -1622 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 116 and 13?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*d + 1806 = -1509. Solve -89*k = -d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 81 * 0.2.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**5\/19 + 50*k**4\/19 + 448*k**3\/19 + 1744*k**2\/19 + 2784*k\/19 + 1440\/19 = 0. Calculate k.\nAnswer: -10, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005803592744 to five dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2126 + 1215226?\nAnswer: 1220355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310432 (base 5) to base 13.\nAnswer: -47b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -304*c + 301*c - 38*n - 167, -5*n = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*c - c. Let y = 344 + -344. Suppose y*u - 2*i = -u + 27, i - c = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 22*v + 22. Let f be k(8). Let s = 106 + f. What is the least common multiple of 20 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-10)\/350*5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2 - 2*z + 4. Let j be l(3). Factor -148*m**2 - j*m + 144*m**2 - 15 - 1.\nAnswer: -4*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 227592320 or 227592318?\nAnswer: 227592318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 0, -56, 3, -35.\nAnswer: -56, -35, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28407, 56824, 85241, 113658, 142075?\nAnswer: 170492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -109, -217, -325, -433, -541, -649?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 + -27)*(0 + -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 7*v**2 + v - 14. Let r be t(-5). Suppose n = 4*n - h - 13, -4*h = -5*n + r. Solve -3*y + 0*y + 3 = -n*i, -5*y = 2*i - 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, m: 1, p: 3}. Give prob of sequence hhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -3899*z**5\/20 + 19*z**3\/2 + 3*z**2\/2 + 2760*z. What is the second derivative of i(s) wrt s?\nAnswer: -23394*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 285331 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -411.8 + 593. Let v = 181 - y. Sort 39, v, -3 in descending order.\nAnswer: 39, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 628 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 29494349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 95 = 3*v. Let m(g) be the second derivative of g**3\/6 - g**2\/2 - 70*g. Let l(q) = 12*q - 14. Give v*m(p) - 3*l(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, x: 2, y: 1, d: 1, l: 1, p: 1}. What is prob of picking 1 d and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 4*l**2 - 32*l + 62. Let d be m(5). Which is the smallest value?  (a) d  (b) -107  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 18 - ((2 - -2) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 - 3.26009.\nAnswer: -2.56009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 345b8 - 2?\nAnswer: 345b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25767 - -25769. Find o such that -o**5 + 5*o**3 - 2*o**c - 4*o + 8\/5 + 2\/5*o**4 = 0.\nAnswer: -2, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-9)\/m*m**(3\/17)\/m)\/(m**(2\/95)\/m*m*m**(3\/32)*m*m) assuming m is positive.\nAnswer: m**(-668653\/51680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 4*h**3 + 16*h**2 + 881*h + 3517. Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + -1)*(4 + -10). Let o(i) = i**3 + i**2 - i - 1. Let l(f) = -3*f**3 - 33*f**2 + 78*f - 42. Let v(r) = w*o(r) - l(r). Factor v(z).\nAnswer: -3*(z - 4)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13671419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 165\/397  (b) 0.4  (c) 2\/15  (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*j + 17 - 98 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/32*(-66)\/(-55) and 37\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-1 - -10 - (-96 + 105)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*a**2*f**2*s - 2*a**2*f - 319*a*f**2 + 9*f**2*s + 3*f**2 + 10*s wrt s.\nAnswer: 3*a**2*f**2 + 9*f**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 14 = 2*m, -4*v + 2*m = -9 - 7. Let o(t) = -v*t + 4*t + t - 3*t. Let g(c) = 4*c. Calculate o(g(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a, -964 = -4*m - 19*a + 17*a. What is the remainder when m is divided by 77?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -182 + 7?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 10111111011110100000?\nAnswer: 10111111011110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 24*g**2 + 6. Let q(s) = -4*s**2 - 3*s + 9. Let h(m) = 8*m**2 + 5*m - 15. Let i(l) = 3*h(l) + 5*q(l). Determine i(n(v)).\nAnswer: 2304*v**4 + 1152*v**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 3 - 3*d + 4\/3*d**3 + 0*d**2. What is the first derivative of j(y) wrt y?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5795 is divided by 5439.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -163 - -170. Suppose 0 = 2*d - 4*s - 344, x*s + 349 = 2*d + 8*s. Calculate the greatest common factor of d and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 1. Suppose 0*p + 2*a = 2*p + 6, -2*p - a = 0. Let n(i) = 2*i + 13. Let b(t) = p*n(t) + 6*l(t). Is b(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.08  (b) 19\/60  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 444 is divided by 426\/15 - 60\/150.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0253 and -0.2.\nAnswer: 0.00506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -47  (b) 2  (c) 3  (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2356 and 123380?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*h**3 - 1 - 4 + 5.\nAnswer: -82*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 152439 times -0.1?\nAnswer: -15243.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.287 + 0.3582. Let j = 0.3538 + k. What is j rounded to two decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 1756*v + 976. Is 9 a factor of h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 1612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14\/(-21)*105\/(-2). Let a(n) = n**2 - 12*n + 1. Let p be a(13). Suppose -9*z - w = -p*z. Solve 0 = -4*g + 19 - z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -267, -180, 53, 504, 1245?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 5033.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 17*r + 3. Let d(t) = t**3 + 6*t**2 + 5*t + 5. Let x be d(-4). Let z be g(x). Solve -z*u - 5 = -8*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of h**5\/12 - h**4\/8 - 2*h**3\/3 - 3*h**2. Let f be k(-3). Let u = f + -17. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o + 2*a + 5, -5915751*o - 1 = -5915764*o - 3*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 0. Suppose -2*n = -4*n - 3*z - 15, -3*z = -3*n + 15. Suppose q + n*q = h. Solve -4*j - j - 10 = q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 21 = -0*l. Let a = -5 + l. Suppose 15*n + 23 = 53. Solve a*m + n*b = 0, 0*b + 2 = 5*m + 3*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 56, 202, 490, 968, 1684?\nAnswer: 2686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12669173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 28495723 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9635698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 78902.98 kilograms?\nAnswer: 78902980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 + -3440887?\nAnswer: -3440886.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 462 - 449. What is the closest to -1\/7 in 4\/5, 1\/2, -3\/7, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-7))\/((-1500)\/(-3150))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63 - 11 - -207) + -61?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tvlfluc. What is prob of sequence tcul?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 54 = -2*z, -2*z = -g - 6611 + 6593 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 47*w - 94. Let a be b(20). Suppose -o + 314 = 3*n, 8*o - a = 4*o - 2*n. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of (-2244 + -1)*(-23500)\/1250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*481.\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 135, 0, -3279?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (342\/10)\/(-3)*87\/(11484\/(-440))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 137+1244381\nAnswer: 1244518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -174 + 246. Suppose -15*o = -18*o - s. What are the prime factors of ((-18)\/o)\/((-3)\/(-804))?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*l - 220*l = -288. Calculate the highest common factor of l and 648.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**4 + 41727*p**3 - 41745*p**2 - 208659*p - 125190 = 0 for p.\nAnswer: -13910, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.9 - 0.1. Let v = 2.6 + o. Let t = v + -1. Which is the second smallest value?  (a) -2\/3  (b) -5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48 and 24444?\nAnswer: 97776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**4\/3 - 8*x**3 = 0. What is x?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00574542 rounded to five dps?\nAnswer: -0.00575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11, -58, -121806?\nAnswer: -121806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -471894, -471895, -471896?\nAnswer: -471897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75*n - 205*n - 133*n - 4 + 55*n to the form y + f*n and give f.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8877 - 2.1123. What is the closest to 2 in o, 3172, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2780255 and 0.9.\nAnswer: 0.6219745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 158927141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1204424 + 5?\nAnswer: -1204416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 3546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3 + 40\/12)*141 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f + 2. Let i(b) = -b**2 + 5*b. Let h be i(4). Suppose -h = u - 2*u. Suppose 5*o + 16 = 2*z, -3*z - u*o = z + 24. Determine d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/88*(-578)\/17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and 45818.23.\nAnswer: 45818.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) 60\/7  (c) -0.2  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3973*o**2 - 4*o + 4. Let w be x(-6). Round w to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**2\/2 + 2805*w - 7868025\/2 = 0 for w.\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**3 - 2*o**2 + 2*o**2 + (-2*o + o**2 + 2*o)*(-2 - 3*o + 2) + 3*o**3 - 2*o**3 - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(4\/3)\/y*y**18)\/(y\/(y*y**(14\/5))*y*y\/(y**21\/y)) assuming y is positive.\nAnswer: y**(602\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 14687*b**3 - b**2 + 4*b. Let a be l(-4). What is a rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - 7*r**2 + 2*r. Calculate the remainder when j(7) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2918 = -2*g, -8*t + 5*t = 0. Suppose g = 24*f - 5357. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 4*l**2 + 7*l + 8. Suppose 4*v = -v - 125. Let j = 38 + v. Suppose -2*n + 25 = j. What is f(n)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -101 + 107. Let p = g - 116. Let x = -113 - p. What is the smallest value in 1, -1\/7, -2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2410 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(3*sqrt(156) - sqrt(156)))\/(1*(sqrt(432) - (sqrt(432) - (sqrt(432) + (sqrt(432) + -4*sqrt(432) + sqrt(432) - sqrt(432)))))).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (42\/35)\/((-2)\/(-10)). Let f(h) = 18*h + 8. Is 35 a factor of f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 4:41 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 8:29 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 11849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 44*z - 52*z, x - 4*z - 24 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 127.884, -6 in increasing order.\nAnswer: -6, -0.2, 127.884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 + -4 + (-35 - -37) + 73?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 3*h = 9, q + 3*q - 3*h + 9 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hkjijkkjbijbkkzkk. Give prob of picking 1 i and 1 j.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, d: 6, e: 1, w: 2}. Give prob of picking 3 v.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9031 - -20416. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 11:31 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**4 - 969*q**3 - 38090*q**2 - 177744*q + 515584 = 0.\nAnswer: -32, -8, 2, 1007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 5*q + 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16.97?  (a) -0.2  (b) -1\/3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3351.354 - 3348. Let j = d - 3.3. Which is the closest to j?  (a) -5  (b) 5  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1848 and 418.\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/3469 or 1\/20?\nAnswer: -3\/3469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3457 (base 10) to base 12\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/1394 and 13\/220949?\nAnswer: 441898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, i: 2, e: 3, k: 1, t: 4, j: 1}. Give prob of sequence ti.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 156724 (base 8) to base 5.\nAnswer: 3304123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8988296mg to micrograms.\nAnswer: 898.8296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**4 - 127150*h**3 - 13739976*h**2 - 494732448*h - 5937349248 = 0. Calculate h.\nAnswer: -36, 127258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, u: 2, y: 8, o: 2, l: 5, n: 2}. What is prob of picking 2 o?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from cwqqwqqpwpwqqcwew.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 10 = -2*f, v - 6*f = -12*f - 18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130266 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*q**2 + 36*q**2 + 27*q**2 + 26*q**2 + 37*q**2.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 35744246311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 16*q - 6. Let v(m) = 478752*m**3 - 6*m**2 + 6*m - 4. Let g be v(q). Round g to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 969 divided by 833\nAnswer: 57\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 4 - 2)*(-2*i - 2*i - i) + 4*i + 0*i - 5*i + 5*i - 6*i - 14*i - 4*i + i + 2*i to the form p*i + l and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -2 - 3 - (-13 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*j + 82 + 3*j - 43)*(351*j**2 - 2408*j + 1203*j + 1088*j**2 + 1205*j) to the form p + w*j + s*j**3 + g*j**2 and give g.\nAnswer: 56121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 3*n + 2. Let u be p(0). Let i = 0.1 + 0.2. What is the nearest to i in 3, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1289246, 2578451, 3867658, 5156867, 6446078, 7735291?\n\"Answer: r**2 + 1289202*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 4:04 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 48*u**2 + 308*u - 100. Calculate p(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 2*o - 36. Suppose u + 19030115 + 1197627 = -2*l, o*l = -u - 20227744. Let k = u + 9927740. Round k to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6620 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2236*i = 533*i + 240*i + 132396 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -26*w**2 - 44*w + 209. Determine i(4).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -135.2 and -53.\nAnswer: 7165.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3902474667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 5776864115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.4 to 1 dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 483 and 5187.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -61 + 73. Suppose 0 = -0*z - z + 5*a + 556, -2*z + d*a = -1098. What are the prime factors of z?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = 5*d + 15*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -424 = 54*g - 100 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 30*1\/3*4. What is the greatest common factor of 100 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/(-40)*24\/(-6). Let l be -1 + 1 - (z - (-4 - -4)). Factor -13\/2*v - l + 15\/2*v**2.\nAnswer: (v - 1)*(15*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + 0)*3\/(-6). Suppose 16*g + 8 = 18*g. Suppose x = 2*s - 0 - g. Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 + 7*l**2 + 146*l - 321. What is b(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11\/99*-15 + 2 + 0\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -3. Suppose -14 - 10 = -y*v. Suppose i = -2*i + v. Calculate the remainder when 10 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15422 * 116.5.\nAnswer: 1796663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-2*(sqrt(120)\/(sqrt(40)\/sqrt(5) + sqrt(8))*-6)\/(sqrt(21)\/(sqrt(21)\/sqrt(3)*2 + sqrt(7) + sqrt(7))).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 5:17 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of 0*m + 0*m**5 + 23 + 0*m**4 - 9\/2*m**6 + 0*m**2 - 20\/3*m**3. Find the third derivative of l(t) wrt t.\nAnswer: -1620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a**2 + 9*a - 5. Let x be q(-9). Round x to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 5.7. Let x be (-2)\/28*-1*343\/2254*23. Sort x, -4\/5, w.\nAnswer: -4\/5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -920 = -73*b + 905 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*n - 22 + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 546960395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 40601638 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, 0.5, -418068, -5?\nAnswer: -418068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/4)\/(4\/8*-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 1. Let m(w) = 13*w**2 + 20*w - 24 - 6*w**2 + 30 - 43*w + 26*w. Let n be 3 - 0 - (14 - 17). What is n*h(d) + m(d)?\nAnswer: d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -21 - ((-26 - (7 - 35)) + 0)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.05 + 2.95. Suppose 50 = -4*s + 3*k - 94, 0 = -2*k. Let g be 2\/(-40) - 9\/s. Put p, g, -1\/5 in increasing order.\nAnswer: -1\/5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u + 420 = -23*u - 23*u. Suppose 0 - 3 = 3*s. Suppose -4*r = -0*r + 16, -7 = -3*v + 4*r. Sort u, v, s.\nAnswer: u, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + -2. Suppose 59 = -4*j - j + 3*m, -3*j + m - 37 = 0. Let v = j - -8. Is v at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8888 + 8886.43. What is the fourth smallest value in 0.5, p, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 12:31 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14819 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 2 e, and 1 g when four letters picked without replacement from memhkmgemgpehgmmmg.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1542 divided by -6\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35060 divided by -5.\nAnswer: -7012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(19) - (sqrt(57)*2)\/sqrt(3))**2 + 4 + (sqrt(2736) - (3 + sqrt(2736))) + ((sqrt(1216) + 1)**2 - sqrt(1216)).\nAnswer: 8*sqrt(19) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -243 + 254 = 11*s. Let c = 20 - 15. Suppose -2*h - 5*x + 3 + 4 = 0, -5*x = -c*h + 35. Sort 4, s, h.\nAnswer: s, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -362*u - 1460*u + 49008 = 1593*u - 9047 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -662 = -41*r + 240. Solve r*v = 12*v + 60 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -13*k**2 - 23*k - 108. Let t(j) = -2*j**2 + j + 10. Let m(h) = -a(h) + 6*t(h). Give m(-23).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 336 and 166096.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 0*d + 13 = -4*d, 8 = -2*l - 5*d. Let g = 3.3 - 0.3. Which is the smallest value?  (a) l  (b) g  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s. Let a be f(-2). Let d(u) = 6*u**2 + 11*u**2 + 64*u**3 + u - 19*u**3 - 28*u**2 + 13*u**a. Give d(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -6350*r - 920744. Give w(-145).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*k - 44*k - 2984. Let h = 407 + k. Solve 0 = 13*s + h + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*m**2*w**2 + m**2*w + 8*m**2 - 988319*m*w**2 - 16*m*w - 4*m + w + 62 wrt w?\nAnswer: -30*m**2 - 1976638*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -5364 + 1536. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8328\/7 - -33375\/28. Which is greater: -184 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 3 + 2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -576 - -2888\/5. Factor -r*j**3 - 2\/5*j + 2*j**2 + 0.\nAnswer: -2*j*(j - 1)*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6743 - 6739. Let z(q) be the first derivative of -q**3\/3 - 5*q**2\/2 - 3*q + 2. Let o be z(-3). Solve j + 19 = -5*w, -7 + o = -r*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -59*v**4 - 615*v**3 + 550*v**2 + 128*v. Let f(i) = -530*i**4 - 5535*i**3 + 4950*i**2 + 1150*i. Let q(o) = -35*c(o) + 4*f(o). What is s in q(s) = 0?\nAnswer: -12, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-5))\/((-16)\/(960\/36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 16*h - 2. Let o be d(-16). Let z be (2 - (o + 2)) + 6 + -6. Let -3 + 7 - 8 + 2*u**z - 2*u = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - -4 - (-38 - -37) - (57 - 108).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-2 - 14 - 13)*(-g + 0*g + 2*g).\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hf when two letters picked without replacement from bbfufuhxfunh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 15*x + 23*x - 23*x + 23*x.\nAnswer: 38*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -940  (b) 3\/292  (c) -1\/10  (d) 0.5  (e) -1\/2  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 25\/8 of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 11*u**2 + u - 38. What is the units digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011011010000001 (base 2) in base 6?\nAnswer: 1000145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**3 + 3*r**3 - 3*r**3 + (301*r + 2 - 377*r - 3)*(42*r**2 + 16*r**2 + 13*r**2) to the form a*r + d + o*r**3 + y*r**2 and give y.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6220553 (base 7) to base 12\nAnswer: 2baa95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 0*t - t = -3, -5*t - 6 = 3*v. Suppose 2 + 3 = -g - 5*h, -v*g - 67 = 2*h. Let z = g + 30. Is z equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*1 + 0\/(-2 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1284025 and 2225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 10991 = 4*t, 5*t + p = 2*t + 8244. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 170 - 171.3. What is the nearest to 3 in -0.2, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**2 - 2*j. Let v be a(-3). Let o = 24 - v. Solve 2*r = 2*i + 14, -2*r - 2*r + 3*i + 23 = o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 377785885 to the power of 1\/2, to the nearest integer?\nAnswer: 19437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -861984 by 144.\nAnswer: -5986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(75)*-2*-5*-4)**2.\nAnswer: 480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9126.656mg?\nAnswer: 9126656000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -72, 0, -2, 31, 3 in ascending order.\nAnswer: -72, -2, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 3*j + 0 + 5*j**2 + j**2 - j**3 - 3*j**2 - 2. Let y be t(-2). Calculate the greatest common divisor of 96 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-86*r - 109*r - 201*r - 95*r)*(-4*r - 2*r + 5*r).\nAnswer: 491*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from swswwwswiwisw. What is prob of picking 2 i, 1 w, and 1 s?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hddlksfl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u**2 + 2 + 290*u + 3*u**4 - 290*u as z*u**3 + q*u**4 + k*u + p + b*u**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 8.3. Let p = 1.3 + t. Let g(j) = 2*j**3 + 393*j**2 - 1406*j - 1201. Let q be g(-200). What is the second smallest value in -0.5, p, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44865171?\nAnswer: 3, 13, 137, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3761216861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s - 3. Let q be (-15)\/((-1 + -2)\/(285\/(-19))). Let y(n) = -3*n**3 - n**2 + 5*n - 4. Let d be y(3). Let b = d - q. What is h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - 4*r - 2*r)*(-3*r**2 + 0*r**2 + 2*r**2) - 30*r**3 - 25*r**3 + 32*r**3 - r.\nAnswer: -21*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 65, 94, 161, 284, 481, 770, 1169?\n\"Answer: 3*p**3 + p**2 + 5*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -240, 17, -1, -3, 0.\nAnswer: -240, -21, -3, -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 AM and 4:07 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/13 and -19\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 - 285*t + 5773. Calculate r(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 116420786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -3*c**2 - 19*c + 13. Let b = 21 - 28. What is v(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6721 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 245*o**2 - 1 + 0*o - 244*o**2 + 0*o. Let n(q) = -4*q**2 + 8 + 1 + 2 - 7. Let p = -14 + 5. Give p*z(s) - 2*n(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*u - 4*u + u)*(2 + 4 + 1) + 356*u + 311*u - 133*u in the form k + o*u and give o.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9116 - 0.5.\nAnswer: -9116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**2*d**3 - 20*a**2 + 141*a*d**5 + 11*d**2 wrt d?\nAnswer: 12*a**2 + 8460*a*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2836 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/(14\/4 - 2). Suppose m = -4*y, -5*y + 1 = 2*s - 1. Let a = 9 + s. What is the least common multiple of 18 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 432864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 4*w + 4. Suppose 9*a + 562 = 4*v + 4*a, -v = 5*a - 128. Let d = -134 + v. Determine k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 5824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -4*o**3\/3 - 788*o**2 - 7836. Factor d(c).\nAnswer: -4*c*(c + 394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 150581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - i = -1, -2*z - 2*i = -6*z + 6. Let d be ((-2)\/(-8)*-4)\/(z\/(-3)). Solve -d*v + 8 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -73.99 != -1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of 9*y**6\/160 + 7*y**5\/80 - 5*y**4\/8 + y**3\/2 + 13*y**2 - 4. Find u, given that d(u) = 0.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14c3609 (base 14) in base 10?\nAnswer: -10151241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -694370 minus -378367.2?\nAnswer: -316002.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/((-4)\/(-4)))\/(51\/170)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/38394 and 191\/12780.\nAnswer: 27259740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35326*m**5 - 20211*m - 1.\nAnswer: 706520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -3*g - 9 + 40, 3*g + 2*f - 7 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 421480, 1685933, 3793356, 6743749?\n\"Answer: 421485*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16 - -10) + (-2 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1407 + 330 - 49*y - 15 + 1048 - 339*y wrt y?\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -6*m - 47. Let b(z) = z**2 - 21*z - 142. Let j be ((-9)\/12)\/((-159)\/24 + 7). Let u(w) = j*b(w) + 7*x(w). Let c(f) = 2*f. What is c(u(k))?\nAnswer: -4*k**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -936481 < -936481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 0) + 0 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/1998 and -44\/2331.\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**2 + 2*i**2 - 6*i**2)*(5 - i - 5).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4976 or -4978?\nAnswer: -4978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10531\/1710 - 9\/190. Suppose 1570 = -3*i + 1588. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u - 3. Let l be c(-3). Let r be 28*(1 + (0 - l)). Let f = -28 + r. Solve -2*v = -f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 76182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/18)\/((2\/(-6))\/((-27)\/54)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m**2 - 13*m**2 + 2*m**2 + 5*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3552 + 7712. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 885040\/(-66240) + (-40)\/(-3).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -46*w. Let o(c) be the third derivative of -c**5\/30 - 50*c**2. Determine f(o(z)).\nAnswer: 92*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/4731 and 49\/996.\nAnswer: 18924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -792 + 792 + 13*b**2 - 10*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11112 and 620.\nAnswer: 6889440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34214, -34405, -34654, -34961, -35326, -35749, -36230?\nAnswer: -36769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 - (0 + -2)) + -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (63 - 63 + 18*i**4)*(i - i + 3*i) - 2*i**5 - 2*i**5 + 3*i**5.\nAnswer: 53*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 623535.\nAnswer: 3, 5, 11, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 12*h - 7. Let g(m) be the third derivative of 3*m**4\/8 - m**3\/6 - 2*m**2. Let o be g(-1). What is the tens digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136*-51785.\nAnswer: -7042760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -43*z**3 + 5*z**2 - 2*z + 12. Let t(x) = -44*x**3 + 6*x**2 - 3*x + 13. Let g(q) = 6*o(q) - 5*t(q). Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 296380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (198\/(-242))\/(18\/(-12))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7\/(-210))\/((-6)\/27) + (-4)\/10. What is the second biggest value in -2, b, -0.15, 3\/5, -0.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p**5\/5 + 6363*p**4\/5 + 147738*p**3 - 5843145*p**2 - 34398000*p - 8232000 = 0.\nAnswer: -280, -5, -1\/4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 9  (c) 1\/8  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of 9*c**2 + 0*c**3 + 0 - 1\/108*c**4 - 1\/270*c**5 + 0*c. Factor n(y).\nAnswer: -2*y*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 0 + 0)*(4*p - 5*p - p + (0*p + 0*p - p)*(4 + 1 - 3) - 2*p + p + 0*p - p + 3*p - 3*p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 25*u**3 - 151*u**3 - 52*u**3 - 49*u**3.\nAnswer: -277*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 34193.\nAnswer: 239351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151*h + 4*b - 30 = -153*h, -30 = -4*h - 2*b. Solve -4*k - 8 = -h*k + j, -5*k = 2*j - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 79, -27 in descending order.\nAnswer: 79, 0, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -313*f**2*w**2 - f**2*w + 2*f*w + 16*w wrt w.\nAnswer: -626*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 4*l. Let u = 1 - -7. Let i(x) = x**2 - 3*x. Let y(d) = -3*d**2 + 8*d. Let g(s) = u*i(s) + 3*y(s). Give k(g(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 1382 - 566. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 1125?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(2170\/93))\/((-9)\/10).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -35*y**5 - 166710*y**4 - 688395*y**3 + 7906660*y**2 + 31980480*y = 0. What is y?\nAnswer: -4759, -7, -4, 0, 48\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/2626 and 22\/1713263.\nAnswer: 44544838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 13, 2, 4106, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/6*a**2 - 2\/3*a + 0 = 0. Calculate a.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - l = -4*l + 6, 4*l = 0. Solve h*d + 77 = 92 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20606094 is divided by 867?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-2))\/((-115)\/(-230))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104, 106, 110, 116, 124?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 2. Let d be z\/(-40)*6 - (-11)\/20. What is the second smallest value in 4, d, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 192073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*y - 29*y = -864. What is the nearest to 1 in 1, 5, 2, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 19*t**2 - 2*t + 41. Let z be f(19). Suppose -b - 23 = 3*l - 11, -2*b = z*l + 9. What is the lowest common multiple of 54 and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -782 - -785.53. Let z = 3.13 - o. Which is the third biggest value?  (a) 0.1  (b) z  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1176 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, b: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + o - 5*d = -1200020, d - 600004 = o. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 41 = -11. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o**2 + 548*o - 548*o. Let y(u) = -9*u + 0 + 5*u + 0. Calculate y(t(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 62079 = -16*k + 398571. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -42, -44, -46, -48, -50?\n\"Answer: -2*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 - 7 - (1 + -1). Are o and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3245 divided by -2\nAnswer: 3245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -229.84366596 to two dps.\nAnswer: -229.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 12*g = 0. Suppose g = -3*c + 209648 - 1439648. Round c to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 not equal to -1797\/340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*r - 4*c - 520, 0 = -2*r - 4*c + 180. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3532.15 - -3514. Let n = -2 - -1.55. Let h = r + n. What is h rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5348*l**3 + 4*l**2 + 5353*l**3 + 0*l**2.\nAnswer: 5*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -157.889585 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(-2\/5)*(u\/(u*u**(-8\/5)))\/u assuming u is positive.\nAnswer: u**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 563822979?\nAnswer: 3, 187940993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 6*d - 0*d - 44. Let t(w) be the second derivative of 0*w**3 + 0 + 0*w**4 - 13\/20*w**5 + d*w - 10*w**2. What is the derivative of t(i) wrt i?\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(336) + (sqrt(336) - sqrt(336)*-2 - sqrt(336)))*5)\/((sqrt(36)\/sqrt(3) + sqrt(12))*1 + sqrt(768)).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 1. Let s(n) = -1183*n - 4. Let o(q) = 6*r(q) + s(q). Let y be o(-6). What is y rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 11. Let h(s) be the third derivative of 0*s + 0*s**5 + 2*s**2 + u - 1\/8*s**4 - 1\/60*s**6 + 0*s**3. Find the second derivative of h(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 57 - 35)*(1 - 2*r - 1)*(-12*r - 14 + 14).\nAnswer: -2448*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 + 61*m**3 + 4 - 29*m**3 - 3*m**2 + 127*m**3. Let c be k(4). What is c rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) -0.39  (b) -2\/11  (c) -9  (d) 4  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*y + 3. Let s(d) = 7*d - 87. Let q be s(13). Find the third derivative of 42*o - 20*o**5 - q*o**y - 15*o**2 - 42*o wrt o.\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {q: 5, k: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 6*w**2 - 2*w + 6. Let n be (1 - 5\/(-2))*(-684)\/(-399). What is m(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 447*y**4 - 367.\nAnswer: 1788*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 368.01748 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 103.0000113 + -103. Round b to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**4\/11 + 628*r**3\/11 + 624*r**2\/11 - 628*r\/11 - 626\/11 = 0. Calculate r.\nAnswer: -313, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -11*u**4 + 5*u**2 + 3*u - 5. Let c(g) = -12*g**4 + 6*g**2 + 2*g - 6. Let y(v) = 5*c(v) - 6*o(v). What is the second derivative of y(d) wrt d?\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/4 and 16\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h - 5. Let p be a(6). Let m be (p - -1)\/((-2)\/13). Let n = m + 21. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from odoooooxk. What is prob of sequence oo?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x + x - x + (x - 5*x + 2*x)*(-1 - 4 + 6) + (0 - 35 - 30)*(-6*x + 10 - 10).\nAnswer: 387*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3938074 micrograms to milligrams.\nAnswer: 0.0003938074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -19302737+-0.4132145\nAnswer: -19302737.4132145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 + 70\/6*18\/10.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41*c*d**3 + 2*c*d + c - 5*d**3 + 4*d**2 wrt d?\nAnswer: -246*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from owwoomohoonooh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3197, 6753, 10309, 13865, 17421, 20977?\nAnswer: 24533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75645*j**3 - 531975*j**2 - 17240*j - 140.\nAnswer: -5*(j + 7)*(123*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2945 or -170787\/58?\nAnswer: -2945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 834719219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1573 is divided by 162.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, 8, -301, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 637641, 637640, 637639, 637638?\nAnswer: 637637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/5*3 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547712 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-4) + 23573\/44. Calculate the greatest common factor of 214 and z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 82 - 3*u - 40)*(0*u**3 + 0*u**3 - 2*u**3).\nAnswer: 6*u**4 - 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 552 and 152287692.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (542 + 78*g**2 - 542)*(-2*g + 4 - 4)*(0*g - 3*g + 4*g) - 3*g**4 + 4*g - 4*g as p + o*g + s*g**2 + q*g**3 + v*g**4 and give v.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/sqrt(324)*4)**2 + 2.\nAnswer: 94\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u + 3*u + 53 - 2*u.\nAnswer: -2*u + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -1c?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i**4\/5 - 4*i**3 - 192*i**2\/5 + 976*i\/5 - 208 = 0. Calculate i.\nAnswer: -10, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 6:38 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4 = -2*r - 0*r, 3*y - 7 = -r. Let i(u) = -12*u - 35. What is the remainder when i(-3) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + h = 0, 9*x - 4*x - h = -7. Let r = 17 - 40. Let m = -26 - r. Sort m, 4, x in decreasing order.\nAnswer: 4, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51770 is divided by 51712?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 - -60 - (8 + -2 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 13*m + 3128 = -8*m, -2*m - 795 = -a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 12 = -4*j. Let q = j + 5. What is the highest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-13)\/v*v*v*v\/(v*((v**5\/v)\/v)\/v))\/(v**(-2\/11)\/(v*v**(1\/4))) assuming v is positive.\nAnswer: v**(-509\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/2))**(-37) assuming u is positive.\nAnswer: u**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -8*r**3 - 9*r**2 - 21*r - 132. Does 17 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -12 - -14 - (-1 + -11). Suppose -5*v - 106 = f. Let q = v - -32. Solve 4*g - q = -0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = d - 25. Calculate the highest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5\/4, -2, 2\/19, 4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 AM and 2:44 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 253?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 23*l + 17 - 28*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -205533873 and 237.\nAnswer: -205533636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -10, 88, 4, 1, 0, -7.\nAnswer: -10, -7, 0, 1, 4, 8, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -83 + 87.48. Let t = -5.92 - o. Put 5\/3, -0.4, t in increasing order.\nAnswer: t, -0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**4 + 36*r**3 + 122*r**2 - 360*r + 200 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 318330 >= 318421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of -w**4\/24 + w**3\/6 - 33*w**2 - 158*w. Let t(p) be the second derivative of -p**3\/2 - 3*p**2 + 2*p. Determine 2*g(c) - t(c).\nAnswer: c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 3:40 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2011212 (base 3) to base 2.\nAnswer: 11000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5+0.562\nAnswer: -4.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -27567543 at least -27567543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-82675)\/(-7))\/((37\/(-7))\/(-37))?\nAnswer: 5, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15\/104 + -1\/104. What is the nearest to 0.1 in -5\/3, -2\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t - 2*t + 2*t - t + 0*t + 2*t + (7*t + 4*t - 23314 + 23246)*(2 + 3 - 1).\nAnswer: 42*t - 272","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 521 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of -7\/2*h**2 + 1\/4*h**4 - 10\/3*h**3 - 13*h + 2. What is the hundreds digit of d(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5231 - -5236.966. Let l = 28 - 22. Let i = l - j. Round i to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f. Let g(d) be the third derivative of -d**7\/2520 + d**4\/12 + 2*d**2. Let h(r) be the second derivative of g(r). Give i(h(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1\/6, -0.2, -2\/31, -25, 2 in ascending order.\nAnswer: -25, -5, -0.2, -2\/31, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 2152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g**5 + 1072*g**4 + 284028*g**3 - 1770094*g**2 - 7282429*g - 5229378 = 0. What is g?\nAnswer: -539, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -6*l + 422. What is c(68)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3274885434?\nAnswer: 2, 3, 79, 6909041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*v**5\/3 - 76*v**4\/3 + 2156*v**3\/3 - 1016*v**2\/3 - 352*v = 0. Calculate v.\nAnswer: -22, -1\/2, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 243930843 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 403 + 30 = 5*s - 3*a + 180, 5*s + 54 = -a + 303 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -987, -1908, -2845, -3798, -4767?\nAnswer: -5752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 347 - 321. Suppose t*i - 16*i**2 + 38 - 2*i**3 + 12*i - 31 - 27 = 0. Calculate i.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*v**2 + 16*v**2 - 29*v**2.\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 391510 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of x**4\/4 - x**3 - 11*x**2. What is the remainder when t(10) is divided by 4*284\/80 - 3\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -178146+-2\nAnswer: -178148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5105\/24 + 214. What is the common denominator of d and -119\/50?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (-82041)\/(-138) + 3\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + u + 60, -20 = -o - 7*u + 5*u. Suppose o*d - 244 = 344. Calculate the remainder when 79 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/3 + 71\/(-213)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -118862.\nAnswer: 11\/118862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 12*k**2 - k - 25. Suppose -2*p - 32 = 5*b, -6*p - 2*b - 59 = -p. What is the hundreds digit of o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/5)\/(7\/105). Let q = c + 10. Suppose -q*z = z - 120. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 698, 1315, 2348, 3803, 5686?\nAnswer: 8003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36371 or 472828\/13?\nAnswer: 36371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/39 - (-1196)\/(-169). Let i(z) be the first derivative of 1\/2*z**2 + 3*z - 1 + 1\/4*z**4 + 7\/3*z**3. What is i(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -13*s**3 - 31*s**2 + 28*s + 3. Give c(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*s - s - 3 = 0, 3*u - 3*s = 0. Let b(l) = 3*l**2 - 2*l + 3. Is b(u) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 70676 by 2.\nAnswer: 35338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.8048 + 1.8048. Let d = 0.2 + -0.1. What is the closest to 2\/9 in d, g, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 3*v**5\/25 + 3*v**4\/10 + v**3\/5 - 11. Factor x(q).\nAnswer: 3*q**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -14*s - 1. Let d(i) be the third derivative of 5*i**4\/12 - 4*i**3\/3 - 6*i**2 + 7. Let y(u) = -4*u + 3. Let t(x) = 3*d(x) + 8*y(x). Give t(k(l)).\nAnswer: 28*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**3 - l**3 + l**3 + (-1 + 4 - 1)*(2*l - 2*l - l**3) + (2 + 1 - 2)*(-14447*l**3 - 11837*l**3 + 20191*l**3) + 1 - 1 - 2*l**3.\nAnswer: -6099*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**2 - 2*y**2 + 1 + 1 - 3*y + 2*y**3. Let j be 4 - 7\/(28\/12). Let v be b(j). Solve 1 = v*q + w, -1 = -3*q - 4*w - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6312 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1727*d**3 - 453 with respect to d.\nAnswer: 5181*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-3)*3\/(-2). Let j = 9 - o. Let i(q) = -j - 2*q + 30 - 14. Calculate i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2273977563 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 4*m - 64, -3*q = -4*m + 1 - 101. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 + 12*n**2 + 90*n - 11. What is the tens digit of x(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -7. Suppose 4*s - 1920 = -f*s. Calculate the highest common factor of 32 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o + 15*o + 4*o - 6*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 7 = 2*f. Suppose 0 = -f*z + 12 - 4. Suppose -l = -z*l - 5*i + 39, 2*l = -i + 78. Solve -5*s - l = -14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 5 + 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 337 + -333. Which is the nearest to 7?  (a) -2\/7  (b) -2\/3  (c) p  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1434 and 12189?\nAnswer: 24378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -463 - -468. Let i(x) = -x**2 - 2*x + 14. Calculate i(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1036002757?\nAnswer: 29, 587, 60859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1157097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.07  (b) -0.263  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -4*r - 12. Let t be (-1 + r)*(-4)\/(-6). Are t and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 76*b**2 + 2292*b + 228. Let n(x) = 228*x**2 + 6875*x + 687. Let r(m) = -4*n(m) + 11*z(m). Let r(c) = 0. Calculate c.\nAnswer: -30, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 396767 and 396767 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -2\/5, -4\/3, 3, 0.3, 28539, -1\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 1033255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -12*n + 122. Suppose 2*q - 175 = -3*q. What is the highest common factor of q and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, y: 2, x: 8, t: 2}. What is prob of sequence xy?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1942 - 587?\nAnswer: -2419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 11, -14 in decreasing order.\nAnswer: 11, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3*(8\/(-6))\/2. Let m = 0 + j. Let s be 4000\/(-1)*4\/m. What is s rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/x**(-2\/25)*x*x\/(x**(2\/5)\/x)*x assuming x is positive.\nAnswer: x**(117\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 0*l - 10 = -4*x, 10 = l + 2*x. Suppose -4*i = -4*t + 76, t - l = 5*i + 21. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 6*q**3 + q**2 - 1. Let r(x) = -13*x**3 - 3*x**2 + 3. Let w = 194 + -187. Calculate w*n(u) + 3*r(u).\nAnswer: 3*u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0.4, 0, -0.5, -2\/1081?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2307 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-6*(sqrt(133)*2)\/sqrt(7).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*t = o - 94*t + 1, -4*t + 37 = 3*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**21*m)\/m**20*(m*m**3)**(2\/5) assuming m is positive.\nAnswer: m**(-187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -6. Find g, given that 3*g**4 - 2*g**4 - 4*g**3 - g**2 + f*g**2 + 3*g**3 + g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(-15) - 44\/(-6). Solve -4*p - 5 = r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-6))\/(((-931)\/42)\/19).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 3:00 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 9 = -2*g + 128, 25 = -5*a. Is g bigger than 236\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**3 + 3*c + 0*c**3 - 5*c.\nAnswer: -2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -336502*z + 336502*z - 1159*z**2 to r*z**2 + n*z + i and give r.\nAnswer: -1159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*s - 2*s + s)*(-2 + 1 - 2) + 12 + 23 + 16*s + 436 in the form l + k*s and give l.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 51 + 72. Let c = n + -7. Suppose -17491 = -111*b + 8927. Calculate the highest common factor of c and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7879 - 7803. What is the greatest common divisor of h and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*(-3)\/9 - 2. Let p be 10*(-4)\/(-8) + m. Factor 18*w**3 - 5*w**3 - 8*w**3 - 7*w**3 + p*w.\nAnswer: -2*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 791903929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46048250, -46048242, -46048232, -46048220, -46048206, -46048190, -46048172?\nAnswer: -46048152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1058*h = -1087*h - 29, -b = 5*h - 0 + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(99)*-1)\/(sqrt(729) + sqrt(729)*-1 + sqrt(9)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i - 5*c - 21, 4*i + 4*c - 7*c = 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-31)\/(-5))\/(10005\/(-230) + 44)?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -4*w - 2*h + 63, 4*w - 51 - 2 = -h for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**4\/2 + 61*j**3 - 4031*j**2\/2 + 11999*j + 14076 = 0.\nAnswer: -1, 9, 46, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 8:55 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 545153 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 4368772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 8 = 4*x, 6*x - 2*o - 10 = x. Let f be 31*x*(1 - 4). Is 1\/(-2*3\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**5\/3 + 162*j**4 - 2398*j**3\/3 + 4298*j**2\/3 - 1112*j + 952\/3 = 0. What is j?\nAnswer: 1, 2, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -241 + 243. Solve -12 = -2*v + w*r - 0*r, 12 = 5*v + 4*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 8:34 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.2 or -6412?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 47 + 63 = 0. Suppose v = 6*v - 115. Let m = v - n. Solve a - m = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.9 from 0.27.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + -1. Let d = u + 1. Is 4 a factor of ((-54)\/(-15))\/(d\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 26*u - 9. Let q(t) = 17*t - 6. Let d(y) = -5*a(y) + 8*q(y). Give d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3*r = -42. Let d be 12\/(-21)*(r - 0). Factor d*h**2 + 1 + 7 - 12*h + 0*h**2.\nAnswer: 4*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4419 is divided by 70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -240 - 253 = -391*k + 289 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*g*i**2*v - 171*g*i**2 - 5*g*i*v + 5*g - 3*i**2*v - 2*i**2 + 635*v wrt i?\nAnswer: 6*g*v - 342*g - 6*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8884 + 8889. Let t(p) be the second derivative of -3\/4*p**4 + 12*p - 9\/40*p**r - 5\/4*p**3 + 0 - 1\/40*p**6 - 9\/8*p**2. Factor t(i).\nAnswer: -3*(i + 1)**3*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 17. Let g be x\/(-8)*-2 + (-12)\/(-18). Put 4, 0, g in descending order.\nAnswer: 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-464688)\/(-9) - 24\/6*9\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2304\/1176 + -31 + 29\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 0.322.\nAnswer: -0.0322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8618?\nAnswer: 2, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*40\/11856)\/(28\/(-532)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*w**5\/13 - 391698*w**4\/13 - 19178219540*w**3\/13 + 19180569756*w**2\/13 + 95894231350*w\/13 + 57535833750\/13 = 0. What is w?\nAnswer: -97925, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49*x + 1278 - 1278)*(-2 + 3 - 2).\nAnswer: 49*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 - d + 4. Let r be (-6)\/((-12)\/(-3) - 2). Let a be s(r). Solve 4*j = m + a, -1 = 4*j + 4*m + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 272 and 13192?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o. Suppose 0 = 4*f - s - 15, -f = 2*f + 3*s. Suppose k - 11 = -2*k + v, -f*k = -4*v - 26. Let d(x) = 39*x - 39*x + 2*x**k. What is c(d(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33982899 and 7731.\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate t**3 + 5802963*t**2 - t - 19501735 with respect to t.\nAnswer: 3*t**2 + 11605926*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6798319 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*q**2 - 8*q**2 - q**3 + 0*q**3 + 17*q**2.\nAnswer: -q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 98119548 to the nearest integer?\nAnswer: 9906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -53705 divided by -2335\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73367 divided by -40.\nAnswer: -73367\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 171.677845 and -0.067.\nAnswer: 171.610845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -306*k. Let q(b) be the first derivative of 2*b**3\/3 - 612. Give q(z(m)).\nAnswer: 187272*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18281 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 4215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(7\/(105\/(-24))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.8369 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 394281 and 315?\nAnswer: 13799835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -69*f. Let d(g) = -31391*g - 25. Determine d(t(i)).\nAnswer: 2165979*i - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from pkspfdgdssgf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -85 - 6*t + 11*t - 10*t. Let j be s(-17). Which is the closest to 0?  (a) 0.1  (b) 2\/7  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 17*q + 58. Determine x(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**3\/5 + 1256*u**2\/5 - 1252*u\/5.\nAnswer: -4*u*(u - 313)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10081, 10088, 10105, 10138, 10193, 10276, 10393?\nAnswer: 10550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8492 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31980553?\nAnswer: 11, 17, 19, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1649)\/85)\/(0 + 1). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-13)\/((g**(-11)*g)\/g)*g**1\/g**8 assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23595\/8 - -2960. What is the common denominator of 178\/(-360) - (-45 - -45) and l?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 13 = -3*b. Let l be b\/((-45)\/12)*-9. Suppose -204 = -15*f + l*f. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8694, 8698, 8704, 8712?\nAnswer: 8722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5.055, -5 in descending order.\nAnswer: 5.055, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 164*a + 340, 2*a + 3*g + 0 = -a - 2*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2. Let q(j) be the first derivative of 13\/2*j**2 - 8 - j. Calculate q(u(g)).\nAnswer: 26*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - (-184)\/6)\/(6\/18). Let b = u - 75. Let s(i) = -i**2 + 14*i - 11. Let n be s(b). Calculate the highest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 202  (b) 472  (c) -3\/8  (d) 0.2  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -3*j**3 + j**2 + 4*j + 28. Let h(i) = i**3 - i**2 - 2*i. Suppose 3 = -13*k + 10*k. Let o(b) = k*h(b) - g(b). Find the first derivative of o(y) wrt y.\nAnswer: 6*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - (-3 - -66)) + 31.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7817374ug in nanograms?\nAnswer: 781.7374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.08+30666834448691\nAnswer: 30666834448690.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -6*m**2 - m**3 + 0 + 0 - m + 1. Suppose -185*q = -195*q + 20. Suppose -6*w + w - 7 = -3*a, a + q*w + 16 = 0. Calculate f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85772 divided by 4\nAnswer: -21443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229 = 5*p - 4*a, -p + 5 + 37 = 3*a. Let x = p - 3. Suppose -4*c = -3*c - x. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {z: 5, m: 2, n: 3, j: 3, b: 1, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 17.4. Let s = -2 - -4. Which is the third smallest value?  (a) s  (b) f  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/11 - 2132*q\/11 + 6378\/11.\nAnswer: 2*(q - 1063)*(q - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b6 - -796b8a?\nAnswer: 796994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 26321 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 9232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - (-43 + 46 - (-6 + 10 + -9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.22684814 rounded to two dps?\nAnswer: 16.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 352298321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - x**2 + 2. Suppose p + 2 = o - 3, 2*p + o = 5. What is q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 - (-2 + 10))\/(2\/(-37038647)). Let g = s - 17138647. What is g rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5126 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 40*a**2 + 176*a + 82. Calculate y(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13205910 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-162)\/(-12)*1*-2. Which is bigger: b or -28?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 436466 to the power of 1\/2, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/105, 19\/2, 1\/5, -6 in ascending order.\nAnswer: -6, -4\/105, 1\/5, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.60639121 rounded to 4 decimal places?\nAnswer: -3.6064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -10 - (3\/2 + (-48)\/32). Let w(f) = f**2. Let k(s) be the first derivative of 4*s**3\/3 - s + 1. Calculate a*w(g) + 2*k(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/6 + 221\/(-78). Suppose -12 = -l + 6. Let i = l + z. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 0*u - 2*u**2)*(-255892 + 514146 - 244067).\nAnswer: -28374*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 19740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 - -288. Let c = w + -312. Solve -4*n = -2*q + c, 13 = -5*n - 2*q - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14140 is divided by 1558.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 5*d + 19, c + d - 1 = 34. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/(-7))\/((-132)\/(-2)*238\/(-357))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -4. Let f = 95475 + -95469. What is the closest to u in -5, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -96*b**3 + b**2 + b - 1. Let f be o(4). Let l be ((-243015)\/f)\/(16\/(-5)). Let p = l + -1\/784. Calculate the common denominator of -73\/8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 690128939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -28*q**2 + 1992*q + 251996. Let r(c) = 32*c**2 - 1990*c - 251995. Let m(i) = -9*l(i) - 8*r(i). Factor m(w).\nAnswer: -4*(w + 251)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 300 = -3*o, -177 = 5*q + o + 293. Let g = q + 99. Suppose 0 = -4*b - b + 45. Calculate the lowest common multiple of b and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 40 = 4*q, 35*w = 40*w - q - 25. What is the nearest to -2\/39 in 2, -2\/13, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wqqqe. Give prob of picking 3 q and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2505 + -2480. Calculate the highest common divisor of t and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2 - 2*t**2 + t**2 - t - 5*t. Let l be s(-6). Suppose -l*f + 115 = 3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/2*3\/((-12)\/(-8)). Suppose 3*x + 10 = 2*x. Let v = f + x. Put -3, 4, v in ascending order.\nAnswer: -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4*(-2 + (-45)\/(-12)). Let w = q - -1. Let z be w*8\/(-3) - 1. Solve -3*i + z = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(17) + -2)*2 - (sqrt(17) - ((sqrt(2057) + sqrt(2057) + 1)**2 - sqrt(2057)))) + (-4*sqrt(136)*-2 - sqrt(136))\/(sqrt(40)\/sqrt(20)))*-1.\nAnswer: -8226 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10.05 + 11.05. Which is the third smallest value?  (a) 4\/7  (b) 0.09  (c) -0.2  (d) s  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 4*m + 0*m)*(0 - 2 + 3) + (-4 + 0 + 3)*(2 - 2 + m) + 70*m - 13*m + 25*m.\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 15. Let p(y) be the second derivative of -y**4\/12 + 2*y**3\/3 - y**2 - 896*y. What is p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 4, g: 5, z: 2, x: 2}. What is prob of sequence zx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbwbwmgbbbbgmbmbbbw. What is prob of picking 1 g, 1 b, and 2 w?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = z - 34817, -4*a = 41*z - 42*z + 34817. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29*o**3*p**2 - 31*o**3*p + 3*o**2*p wrt p.\nAnswer: -58*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**2 + 32. Let h(i) = -4127259*i. Determine h(s(x)).\nAnswer: -8254518*x**2 - 132072288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1102535 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 5, 0, 6, -138, -1 in descending order.\nAnswer: 6, 5, 0, -1, -8, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -3*h + 6*y + 3036, 2*h - 4*y = 2034. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - ((-6 - -9) + -26)) + -11 + 3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y*y\/y**(-5))))\/y*y*y**(3\/5))\/(y**(-8)*y**(-3\/7))*(y*(y*(y\/y**(-2\/35))\/y)\/y*y*y**(-10))**(-9\/7) assuming y is positive.\nAnswer: y**(6429\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 145*c**2*i**3 + 226*c**2*u + 5*c*i**3*u - 88*c*i**3 - c*i + 6*u wrt c.\nAnswer: 290*i**3 + 452*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4227050718 to the nearest integer?\nAnswer: 65016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20\/1 + 0\/3 and 2\/4 + (-88)\/(-16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9154617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 6) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.13191 + -3.13191. Which is the second smallest value?  (a) -0.12  (b) 52  (c) 3  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -53711, -107440, -161171, -214904, -268639, -322376?\n\"Answer: -s**2 - 53726*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 2. Let a be 6 + (3 - 0) + -6. What is s(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1881 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(4 + ((sqrt(162) + 1)*-3 + 0)**2) + -1)*6.\nAnswer: 972*sqrt(2) + 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -63 + 58. Let g(b) = -46*b**2 + 5. Let y(w) = -69*w**2 + 8. Let l(h) = v*y(h) + 8*g(h). Let p(i) = i. Determine l(p(u)).\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 20 - 15 = 0. Let d = i + -5. Calculate the highest common divisor of d and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -71, 48 in descending order.\nAnswer: 48, -9, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13075843 - 26151695 + 13075852 + 0*g - 7*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.3, -32, 1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -5, -3\/7 in descending order.\nAnswer: 1, -3\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -2091.\nAnswer: 1045.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 12*o + 3. Let q be a(-12). Let t = 272 - 3167. What is the units digit of q\/12 + t\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8024676, 8024679, 8024694, 8024727, 8024784, 8024871?\nAnswer: 8024994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -448243*a**3 - 2*a + 0*a + 2*a + 448246*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**4 + 10*b**3 + 27*b**2 - 13*b - 28. Let n(w) = -1. Let a(o) = o**2 - o - 6. Let h(m) = a(m) - 5*n(m). Let i(z) = 6*h(z) - 2*r(z). Factor i(v).\nAnswer: -2*(v - 1)*(v + 1)*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22217 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 51 = 6*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 96149157 to the power of 1\/2, to the nearest integer?\nAnswer: 9806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 326 + -210. Suppose h = 103 + r. What is the highest common factor of 73 and h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a + 2. Let k(s) = 3*s + 5. Let j(g) = 4*k(g) - 10*l(g). Let c(u) be the third derivative of -3*u**5\/20 + 11*u**2. What is c(j(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2272272.\nAnswer: 2, 3, 47339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -16, -9, 0 in descending order.\nAnswer: 5, 0, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 17281  (c) 2\/141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -189*h - 1209. Determine q(-5).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -129?  (a) -1\/4  (b) 0.5  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 331839.\nAnswer: 3, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/23 != 126\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1005268.201 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 80 + 35. Suppose -15*i + n = -10*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 - -4.51. Let f = 4 - o. What is the second biggest value in f, 3\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22746829 and 10094.\nAnswer: 45493658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 - 7*u + 16. Let v be c(4). Suppose 2*n = v*a - 1 - 9, 9 = 3*a. Solve n - 11 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - x**2 + x - 70. Let v be b(0). Let s be ((-21)\/v)\/((-3)\/(-4)). Let c be ((-3)\/4)\/((-77)\/308). Put s, -25, c in descending order.\nAnswer: c, s, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -975 - -25498. List the prime factors of p.\nAnswer: 137, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -5*k**3 + k**2 - 3*k + 5. Give g(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 - 854005798?\nAnswer: -854005760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 5*a. Let s(j) = -137012*j. What is s(r(p))?\nAnswer: -685060*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -48 - 4a4610?\nAnswer: -4a4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.088054 times -5.92?\nAnswer: -0.52127968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2701000 to the nearest 10000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -596\/7 - -85. What is the fourth biggest value in i, 0.04, 3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -1064*s - 1538549. What is l(-1446)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = 2*g - 343 + 327, -5*l = 2*g - 31 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 74.4 to the nearest integer.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 + 3*v - 1. Let a be y(2). Let c be ((-4)\/(-132))\/((-35)\/6). Let k = -1171\/3080 - c. Are a and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -186.237 + -0.763. Let r = p + 187.001729. Round r to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 + -22. What is the lowest common multiple of v and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, 3, -19, -32 in descending order.\nAnswer: 3, -2, -5, -19, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(156)*-1 - sqrt(156) - sqrt(156)))\/(sqrt(300)*-2) + (2*sqrt(325) + -2 + -3*sqrt(325)*-1)**2.\nAnswer: -509*sqrt(13)\/5 + 8129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 8*l**2 + 2*l + 18. Let t be m(-8). Calculate the common denominator of -47\/18 and 116\/(-3)*t\/40.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 + 0)*(10*u - 4*u + 23*u)*(-5*u**2 + u**2 + 3*u**2) to x*u + o*u**3 + v*u**2 + i and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-3)*(-63)\/(-35). Suppose -5*g + 14 + 16 = -5*r, -3*g - 3*r = y. Suppose 2538 = 2*i + 4*w, -2546 = -3*i + i - g*w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*m + 181*m + 0 + 0.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.4 and 0.01854600193.\nAnswer: -1.38145399807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-3)*12\/(-168)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/35*19\/((-57)\/30). Let k = -325 + 3579\/11. Which is the second smallest value?  (a) 4  (b) o  (c) k  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -33*k**7\/70 - k**5\/60 - 63*k**3\/2 - 4*k**2 - 13. Find the first derivative of s(z) wrt z.\nAnswer: -396*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3*1 - (-94)\/(-22) and 9\/12 + (-965)\/60?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300 + 36 = -22*k. What is the highest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwaaaxxwxawaam. Give prob of picking 1 m and 2 x.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 2. Let z be q(0). Suppose -4*b = z*v - 4, -2*v = -3*v + 2. Suppose b = 2*o - 63 - 81. What is the highest common divisor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(((-8)\/3)\/4 - 0). Let f = 11 + 11. Let b = f - a. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/((-5589675)\/563549) + -8 - 8\/(-18).\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-56 + 96063\/1716)\/((-9)\/12)\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/3 - 2476*b\/3 - 766322\/3.\nAnswer: -2*(b + 619)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12\/91 - 24\/13. Put 3, 0.06, a in ascending order.\nAnswer: a, 0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28578 - 142893\/5. Let k = 0.2 + -0.1. Sort -1\/7, d, 2, k in ascending order.\nAnswer: d, -1\/7, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 - 2103041?\nAnswer: -2103032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 9. Suppose -x = -4*q - s, 0*q = 2*x + 3*q - 3. Suppose 2*f + 7 = 4*f + x*a, -4*f - a + 39 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 74 - 26. Let z = 37 + c. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(110) - 1*sqrt(110)*4)*4*-2)\/(4*sqrt(40)\/sqrt(4) - 2*sqrt(1440)))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + -1)\/2 - -2. Let v = 1 - z. Suppose v*p + 88 = p. What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 7*g**2 + 5*g + 8. Let l be (12\/7)\/((-8)\/(-28)). What is the remainder when p(l) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 9, d: 11}. Give prob of picking 1 h and 2 d.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -17*f**6\/160 + f**5\/30 + f**4\/32 - 3*f**2 - 150. Suppose n(p) = 0. What is p?\nAnswer: -3\/17, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -395*k**3 + 551*k?\nAnswer: -2370*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, i: 1, h: 1, q: 1, k: 3, l: 9}. What is prob of sequence lqi?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -13112, -13113, -13116, -13121?\n\"Answer: -s**2 + 2*s - 13113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(((-12)\/66)\/1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 0*r = 2. Let s be r\/(4\/(-3) + 1). Let b = 5 - s. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -12.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 - 9*c - 8. Let d(a) = -5*a**2 - 2*a + 1. Let r be d(-2). Let p = r - -18. Suppose p*g + 24 = -3*q, 5*q + 16 = 5*g - 4. Calculate v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 7*j + 5. Suppose -3*w - 3*r + 3 = -6, 15 = 4*w + r. Is l(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -31*p**3 - 5. Let y(q) = 4025 - 4116 - 205*q**3 + 60*q**3 - 414*q**3. What is 91*w(k) - 5*y(k)?\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4177565 divided by -12.\nAnswer: 4177565\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p - 9. Let a be q(-4). Sort a, 4, 5, -4.\nAnswer: a, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*i - 312 + 18 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-3 + 3) - (-67 + 121 + -34).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 1 + 1 + 0*i - i. Let n be t(-2). Find the second derivative of 2*q**n + q**4 + q - 4*q + 4*q wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/9 in 5, -0.105, -4\/9?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x + 16*x + 6*x)*(-x**2 + x**2 + x**2) + x**3 - 3 + 3 + 4*x**3 - 5*x**3 + 5*x**3.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 - 4*h**2 + 6*h + 8. Let v be f(-5). Let k be (-22)\/(-7) - v\/21. Solve k*x + 8 = 5*a, -4*x + 4*a = 9 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 90193831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {b: 9, n: 1, x: 4, r: 4, g: 2}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1)\/p*p\/(p*p*p**(1\/11)*p)*p assuming p is positive.\nAnswer: p**(-34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/(-3*sqrt(2) - sqrt(2)))\/(sqrt(66)\/sqrt(6)*-3).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.23 + 9.23. Let v = -9.07 + p. Let c = 0 + v. Round c to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 21 = 2*l + 5, 2*n - 3*l = -1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 354864 and 1488.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 413*l - 582 - 2785 = 7784 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) + 3 + sqrt(243))) + -5 - ((sqrt(12) + sqrt(48)\/sqrt(4))*2)\/sqrt(4))**2.\nAnswer: 208*sqrt(3) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 5)*(-4 - 2*s**2 + 4) + 4 - 4 - 2*s**2 - 196716*s + 196716*s + 92 - 6*s**2 as a + q*s + k*s**2 and give a.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2*1\/(-2))\/((-122)\/2318). Solve x = 33*t - 47 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 17*m**2 - 39*m - 9. What is the smallest common multiple of v(-19) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15741 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7751050 by 16318.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 590 and 1042310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 14554153 - 10875283 = 0. Let a = h - 12918529. Suppose 3*u = 4889093 + a. Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -12, -2, 9 in descending order.\nAnswer: 9, 2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h - 6. Let i(k) = -2*k + 17. Determine -4*i(n) - 11*s(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41\/24 - -11\/8. Let d = -3\/22 + -27\/44. Which is the nearest to -0.1?  (a) d  (b) s  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 12:09 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16229 rounded to 3 dps?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1a (base 11) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of -i**4\/6 - 9*i**3 + 31*i**2\/2 + 113*i. Calculate the least common multiple of 9 and w(-27).\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 12:02 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.51989 - 363220515.\nAnswer: -363220524.51989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 - ((-11 - (3 - 2)) + 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33352156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -845?\nAnswer: -253.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 5. Suppose -c - 2*s = 9, -5*c + 3 = -0*s - 2*s. Let j be (c\/(-3))\/(8\/96). Give w(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**3 + 19*a**3 - 577*a + 582*a to the form c + h*a**3 + i*a + b*a**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -5582*y**4 + 99440783*y - 99440783*y + (-2*y + 3*y**2 + 2*y)*(y**2 + 3*y - 3*y) in the form s*y**2 + x*y**4 + l*y**3 + z + u*y and give x.\nAnswer: -5579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7703274 (base 10) in base 5?\nAnswer: 3433001044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23317 or -163228\/7?\nAnswer: -163228\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 273.5354 years in months?\nAnswer: 3282.4248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/215410 and 13\/10.\nAnswer: 215410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14.12 + 0.12. Let y = i - -13.8. Which is the second biggest value?  (a) 0  (b) y  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8 - -3)*12\/10. Let u(z) = -z**3 - 5*z**2 + 9*z + 9. Calculate u(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 18 - 50 = 0. Is 15 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*i + 2768 = 61*i. Let n = -333 - i. Solve -n = -4*d - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, x: 5, c: 5, j: 1}. What is prob of picking 1 c and 2 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2417468 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -3\/70  (b) 0.034  (c) -1  (d) -0.2  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 9. Let z be 33 + (1 - q) + 0. Suppose 5*g = 36 + z. What is the least common multiple of 2 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2170749167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7914, -23903, -47950, -80061, -120242, -168499, -224838?\nAnswer: -289265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/7)*c)**46\/(c**1)**(5\/12) assuming c is positive.\nAnswer: c**(2173\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + 10*o + 11. Let v be m(-9). Let i(k) = k**2 + 8*k**2 - v*k**2 - 5*k**2. Let c(a) = a + 0*a + 3*a. Determine i(c(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00057402 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 53*u - 54*u. Suppose i = -3*n - 286, -2*n - 76 - 112 = -2*i. Let w = -83 - n. Calculate the highest common factor of w and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - t + 73 - 165 = 0, -4*t = -i + 27. Let b(c) = 11*c + 1. What is the remainder when b(5) is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -217 + 219. Suppose 2*t - 5*i = 69, -b*i + 46 = 3*t - 29. What is the remainder when 52 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5 = 52. What is y in c + 31 + 2*y**2 + 3416*y - 3436*y = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 9*l - 5. Let j = 15 - 7. Let o be u(j). Let x(s) = -6*s**3 - 4*s**2 + 4*s + 3. Let c(v) = -5*v**3 - 3*v**2 + 3*v + 2. Give o*x(n) - 4*c(n).\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**2 + 67 + 2 - 2*d**2 + 10 + 6*d**2.\nAnswer: 2*d**2 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 i when four letters picked without replacement from {d: 2, u: 8, i: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.7 - -4.7. Let y = 7\/10 - 1\/5. Which is the closest to y?  (a) g  (b) -0.3  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1208, -1353, -1500, -1649, -1800, -1953?\n\"Answer: -j**2 - 142*j - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -9) + -18 - (-16 - (-5 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -14*a + 3. Calculate n(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 1 + 1)*(-1 - 2 + 1)*(0 + 0 + r)*(-r - r + 6*r).\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 4*m - 0*m + 24, 25 = -5*m. Let d be (1\/z)\/((-27)\/(-3348)). Let g be d*2\/(-8)*-22. What is g rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*k + 113 = 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*k = 65 + 5, -3*o + 254 = -4*k. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 69 - a2a33?\nAnswer: -a29b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (0 - -5) + -9 + -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (60200\/(-258))\/((8 + -4)*(-4)\/24) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 1135*k**2 - 9*k - 3. Let x(u) = -3*u - 1. Calculate n(h) - 3*x(h).\nAnswer: 1135*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 168 = 3*a + 2*a, 0 = u + 2*a - 56. Calculate the greatest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*n**3 - 112*n**3 - 2*n + 36*n**3.\nAnswer: -114*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 388 and 8342?\nAnswer: 16684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3)*r\/(r*r*r**0))\/(r\/(r\/r**(1\/3)))**(2\/41))\/(r**2\/r*r\/(r*r**(4\/5)*r)*(r\/r**(1\/7))\/(r**(-1\/4)*r*r)) assuming r is positive.\nAnswer: r**(-40009\/17220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/7)\/(i**(-3\/5)\/i)*(i\/i**(1\/4))**0)\/((i\/(i*(i**(2\/7)*i)\/i))**(-42)*(i**(-6)\/i*i)\/i**1) assuming i is positive.\nAnswer: i**(-129\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -3*r + 19, 3*r - g - 11 = g. Suppose -6 = -r*p - 11. Let k be p\/3 + 325\/75. Solve -k*u - u = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1640900179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 9 - 37. Let n(g) = -g**2 + 14*g - 4. Let i be n(l). Suppose -3*c - 2*a + 5 = 0, 3*a - 2*a - 2 = -c. Put c, 2, i in ascending order.\nAnswer: i, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2248 in 2\/15, 1, -0.056?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5367 is divided by 4940?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/10 + 73\/(-95). Let j = p - -104\/437. Let b = 57\/92 - j. What is the biggest value in 1, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 1885*t - 6 + 2595*t)*(0 - t + 0).\nAnswer: -710*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -418, -428, -450, -490, -554?\n\"Answer: -f**3 - 3*f - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -101101000100101110 (base 2) to base 5\nAnswer: -21401442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + c = -25. Let n(j) = -5*j + 44*j + 36 + j**2 - 27*j. Let u be n(-7). Sort c, u, -3 in ascending order.\nAnswer: c, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {w: 2, c: 3, d: 3, e: 11}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 60 = 2*j, 4*u - 211 + 35 = -5*j. Calculate the remainder when 167 is divided by (-18449)\/(-323) - (j\/(-17) + 2).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, y: 1, w: 2, i: 1, j: 4}. What is prob of picking 1 w, 1 h, and 2 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 5  (b) 1\/3  (c) -2  (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 477*d - 3 + 610*d - 2944*d**2 + 103*d + 1 + 2943*d**2.\nAnswer: -d**2 + 1190*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(2880) - (sqrt(2880) + -3*sqrt(2880)*-2)))\/(sqrt(80)\/(sqrt(8)*3) - (sqrt(110) - sqrt(110)*-1)\/sqrt(11)).\nAnswer: -864*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2691 (base 12) in base 7?\nAnswer: -15625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4 = -3*d, k - 4 = 2*k + 3*d. Let h be (0 + (-1)\/k)*(3 - 4). Factor -1\/2*r**2 + 0 + h*r.\nAnswer: -r*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, w: 3, c: 1, r: 2, m: 4, e: 3}. What is prob of picking 2 w, 1 r, and 1 e?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 472212 or 472197?\nAnswer: 472212","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - z + 8. Let s be t(-3). Solve -s*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4*b = 531, 2*f = -3*b + 2*b + 359. List the prime factors of f.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-9 - -3 - (-1 + -1)) - -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 63597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4287*b - 3535. What is the units digit of q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/3 - 10\/(-7). Let i = -6.5 + 7. What is the second biggest value in i, r, -0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 222817331, 445634663, 668451997, 891269333, 1114086671, 1336904011, 1559721353?\nAnswer: 1782538697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-8))\/((-1)\/38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5413015 - 0?\nAnswer: -5413015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 1605, 1\/6, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 693794430 to the power of 1\/2, to the nearest integer?\nAnswer: 26340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -32174 - -32201. Which is the biggest value?  (a) 1  (b) j  (c) -0.1  (d) -21  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (103\/3)\/((-24)\/(-360)). Let k = 520 - t. Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 36*m**3 + 40*m**3 - 10*m**3 - 17*m**3 - 57*m**3 + 15*m**3 + (2*m + 0*m + 0*m)*(0*m**2 - m**2 + 0*m**2).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 79*m**2 + 36*m + 145. Let d be j(-59). Round d to the nearest one thousand.\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(-1)*m))**(-38)\/(m**1*m)**(2\/13)*(m**(-2\/5)*m**5)**(-28) assuming m is positive.\nAnswer: m**(-10862\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2*n - 5*k = -25, 4*k - 20 = 3*n. Let w(m) be the second derivative of 0 + 1\/48*m**4 + 3*m + 1\/24*m**3 + n*m**2. Factor w(v).\nAnswer: v*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -497 - -290. Is 13 a factor of (-2)\/(-4) + h\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -0.31  (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**3)**(6\/13))**(-1\/14)\/(y**(6\/7)*y*(y\/(y*y**0))\/y*((((y\/y**1)\/y*y)\/y)\/y*y)**(-19)) assuming y is positive.\nAnswer: y**(-1819\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + -5 + 0 + 3. Suppose f + 0*f = 1972. Is (f\/8 - w)*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrha when four letters picked without replacement from raraaraaraaaarraah?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6602224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = p - 87, -o = -4*p + 62 - 22. Let z be -2 - (2 + o\/4). Which is the nearest to -1\/2?  (a) z  (b) 2\/13  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 2763474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7676 - 38382\/5. What is the second biggest value in -5\/6, -2, -24, f?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*q**3 + 10*q**2 - 10*q**2 - 2*q + q**3 + 2*q - q**3 - q**3 + 0*q**3 + (1 - 2*q**2 - 1)*(2*q + 2 - 2) - 3*q**3 + 4*q**3 + 0*q**3 + 0*q - 2*q**3 + 0*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of -4*t**2 + 10 + t**4 + 1\/14*t**7 + 11\/10*t**5 - 39\/40*t**6 + 1\/28*t**8 + 0*t + 0*t**3. Determine a so that l(a) = 0.\nAnswer: -4, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b + 56 + 8*b - 229 - 5*b - 69.\nAnswer: 5*b - 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)*-2*4 - -2*sqrt(91)*-2)\/(sqrt(28)\/sqrt(4)*4 - (sqrt(7) - (sqrt(77) + (sqrt(77) - (sqrt(77) + -1*sqrt(77)) - sqrt(77)))\/sqrt(11) - sqrt(7))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 27*r - 38 = -31*r, 0 = 5*g + 5*r - 25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91*v - 2255 = 90*v - 3*k, v + 5*k - 2247 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = 8 - 43. What is the remainder when (-2)\/u - (2 + 974\/(-10)) is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + b**2 + b - 8. Give k(-6).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + v**2 + 3*v - 1. Let w(c) = 16*c**3 - 4*c**2 + 15*c + 5. Let h(g) = -w(g) - 3*x(g). What is the second derivative of h(k) wrt k?\nAnswer: -114*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1376 and 3776.\nAnswer: 162368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 + 6 - (0 + -2 + 0). Solve c + 6 = -l*b, 0 = -3*c - c + 2*b - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 2*y**3 + 20*y**3 - 19*y**3 - 4*y + 11*y + 4 to the form i + n*y + r*y**3 + d*y**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + -32. What is the common denominator of -113\/14 and (-27)\/g*15\/18?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 437725\/82 - 5338. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*r**2 - 6*r**2 - 5*r**2 - 11*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -805 less than -805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**2 + 0*w**2 - 2*w**5 + (-221 + 77 + 0)*(-2*w**5 - 3*w**5 + 6*w**5) - 3*w**5 + 0*w**5 - 11*w**5.\nAnswer: -160*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -78, -2, 1, 1562 in descending order.\nAnswer: 1562, 10, 1, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -12*s**2 - 34*s + 8. Let g(f) = -23*f**2 - 70*f + 17. Let m(r) = -6*g(r) + 11*v(r). Let c be m(-8). Solve 0 = -2*w + c + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 21 - 15 = 0. Let t(y) = -y**3 + 11*y**2 + 12*y + 12. What is the remainder when 22 is divided by t(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -271870 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 536 + 70?\nAnswer: 5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 869629.5*-0.17\nAnswer: -147837.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-4 - (-4 - (1 + -2))) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 1451*s - 35777. Give d(25).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90866.\nAnswer: 2, 45433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**2 - 1 + 1)*(-g**3 + 13*g**3 - 76*g**3) + (0*g - 2*g + 1 + 4*g)*(30*g**4 + 101*g**2 - 101*g**2) + (-1 + 4 - 1)*(-g**5 + g - g) - 3 - 3*g**5 + 3.\nAnswer: -73*g**5 + 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*-4 + 2 + -2. Let w be 169\/9 + 2\/9. Let p = w - 15. Put 0, p, n in descending order.\nAnswer: p, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.66 to 1 decimal place.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.01 - -0.033. Let p = 41.957 + c. Let b = -41.73 + p. Round b to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2706 - 1843. Which is bigger: 866 or a?\nAnswer: 866","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -2*w + 490, 0 = -22*w + 20*w + 3*m + 488. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -325 + 460. Let y = h + -77. Let u = 57.999963 - y. Round u to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-696)\/(-783))\/((-112)\/(-12))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/((-8)\/(-14)))\/(23\/(-2944)*-16)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oroobpb. What is prob of picking 1 p and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 10:41 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4789*a**3 + 3*a**2 - 3*a**4 - 41 + 2*a**4 - 4873*a**3 + 2*a**4 wrt a.\nAnswer: 24*a - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**2 + 11*z**2 + 42 + 17 - 59.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 11893.382 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2107771.\nAnswer: 2107771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 266700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 77643945 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3*20\/(-45)*(2 - -1). Solve -9 - 4 = 2*b - 3*z, -7 = -v*b - 5*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 217422 and 1769550.\nAnswer: 1364323050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.857 - 4.18. Round u to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + (40 - 76) + 2 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/((t\/t**(-1\/7))\/t*t)*t)\/t)\/t)\/t**(-1\/5)*(t**(-1\/2))**(2\/3))\/(t**(-7)*t**(-4\/7))**(-43) assuming t is positive.\nAnswer: t**(-34319\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**5 - k**4 + 3*k**3 - 3*k**2 - 4*k. Let a(p) = p**3 - p**2 - p. Let j(n) = n + 2. Let t be j(1). Let o(r) = t*i(r) - 12*a(r). Factor o(y).\nAnswer: 3*y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g - 200 - 6*g + 200)*(9*g**4 + 4*g**4 - 2*g**4).\nAnswer: -121*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83689 is divided by 6973?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2406.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1867140 divided by 311190.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.5646 - -0.5646. What is the closest to -1\/3 in 357, x, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002481 to seven decimal places.\nAnswer: 0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -k + 2*k - 2*z, k - 3*z = 12. Let o(t) be the first derivative of 6 + 1\/12*t**4 - 1\/15*t**5 + 0*t + k*t**3 + 0*t**2. Find j, given that o(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-570 + 991*q**3 + 570)*(-4*q + 50 - 50).\nAnswer: -3964*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**2. Let d(s) = -4*s**2 - 4*s. What is z(d(c))?\nAnswer: 32*c**4 + 64*c**3 + 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**3 + 8*b**2 - 3. Let u(i) = i**3 + i**2 - 1. Give -p(d) + u(d).\nAnswer: -d**3 - 7*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 - -28.2. Let n = -140 - -137.1. Let t = j - n. Do t and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 39 = 2*x + 117, 5*x + 370 = -5*v. Let m be 2\/(-10) - 54\/x. What is the third smallest value in -1\/4, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -53764320 by 5.\nAnswer: -10752864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w = -212 + 102. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sjss when four letters picked without replacement from ssjjss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 787, 3136, 7059, 12556, 19627, 28272?\nAnswer: 38491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -37 + 79 - 42 + 2*a. Let v(w) = 8*w**2 - 11*w - 11. Let p(r) = 0*r**2 + 4*r - 3*r**2 + 4 + 0. Let o(s) = 11*p(s) + 4*v(s). Calculate y(o(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3 + 0 + 3 + sqrt(117) + -2 + sqrt(117) + -4)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(32)*-2 - sqrt(22)\/sqrt(44).\nAnswer: -17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 97 + 16*c - 1869*c**2 - 31*c - 95 + 15*c. Let l(g) = g. Determine z(l(b)).\nAnswer: -1869*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2 + 3*(1 + sqrt(76) + (1 + sqrt(76))*5) + 0).\nAnswer: 80 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3118815 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 - 13*y + 11. Let p be c(-12). Let o = p + -23. Suppose -2*j = 3*u + 6 - o, j = u - 3. Solve u = -2*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 3*u - 4. Let n be y(-4). Suppose n = 7*q - 3*q. Suppose -6*h = 2*w - 10*h + 2, h = 4*w - 17. Solve 0*x - x + w = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 2*q + 4*q)*(-2*q + 2*q + q)*(-284 + 606*q + 284)*(q + 0*q - 3*q).\nAnswer: -1212*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 190, 5, 212, -6.\nAnswer: -6, 5, 190, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**0\/v)**(-5)\/(v**17\/((v\/(v*v\/(v**(-2\/9)*v*v))*v)\/v)) assuming v is positive.\nAnswer: v**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 4:40 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/26)\/((-134)\/(-268)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mhjmjjmmjhm. Give prob of sequence jhj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/555 and -97\/612456?\nAnswer: 113304360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*v - 6 = -63. Sort v, -4, -2, -5 in decreasing order.\nAnswer: -2, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13781.8*0.4\nAnswer: 5512.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -17*x**6\/3 + 6*x**2 - 13. Find the second derivative of j(p) wrt p.\nAnswer: -680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -51, -81, -127, -195?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 14503, 29002, 43501, 58000, 72499?\n\"Answer: 14499*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 34*u + 1896 = 123*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-24)\/9)\/((-6)\/9). Suppose 0*p - 12 = 3*p. Let j = p - -16. Solve -3*h - j = -3*s, 0 = -b*h + h - 3*s + 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*y, 3*o - 2*o - 4*y = -11. Let m(u) = u**2 + 5*u - 27. Determine m(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 638324\nAnswer: 638303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**3 + 71*i**2 + 62*i + 388. Give t(-23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*t - 2156 = 20*t. Let m = t - 2145\/4. Which is greater: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1829 or -20105\/11?\nAnswer: -1829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 421995 divided by -21.\nAnswer: -20095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*(-42)\/5145*5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6601 and 173143?\nAnswer: 27876023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-40)\/24)\/(1\/(-3)). Solve 3*g - 6*x + x + c = 0, 0 = 5*g + x - 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5  (b) -4\/41  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.519 - -0.081. What is v rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from djjddddddddjjj. Give prob of sequence djj.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-20368)\/91656)\/(4\/522)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -286, -525, -764, -1003, -1242, -1481?\n\"Answer: -239*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -104 + 27. Let j = -72.15 - q. Let r = j + -4.85000722. What is r rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219900477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - u + 5*k + 1670 = 0, 4*k + 1001 = 3*u. Suppose -j = 5*h - u, 2*j + 0*j - 670 = 2*h. Suppose 0 = -2*y + 7*y - j. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23843 + 23843 - 122*g)*(13*g - 2*g - 2 + 2*g).\nAnswer: -1586*g**2 + 244*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 - 27) + (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -145 and -0.33.\nAnswer: 47.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*h**2 + 19*h**2 + 0*h**2 - 16*h**2.\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.061  (b) 0.2  (c) 2\/35  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2*q + 38, 3*r = q + 4*q - 116. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 14*u**2 + 2*u + 1. Let j be z(14). Let h = j - 26. Solve -5*y + h = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 559 or 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 121, 234, 349, 466, 585?\n\"Answer: z**2 + 110*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + (-5)\/(-1))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -4*o - 193. Calculate c(-33).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.52?  (a) 20  (b) -338  (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 8*k. Let u(q) = -1. Let m(i) = -4*i - 16. Let p(w) = -m(w) + 16*u(w). What is p(r(a))?\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4380.363 + 4344.5. What is b rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34023 + 32023?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 4*c - 162. What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3131000231 (base 4) in base 12?\nAnswer: 377a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 136399 + -1503467\/11. Let j = q + 280. Let u be ((-6)\/153)\/((-1)\/3). Which is the biggest value?  (a) u  (b) j  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000676491965 rounded to six decimal places?\nAnswer: 0.000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**3 - 510*u**2 - 985*u + 1500.\nAnswer: -5*(u - 1)*(u + 3)*(u + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n + 9*n - 20*n + 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -74, -184, -400, -758, -1294?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v**2 + 39*v**3 - 117*v**2 + 39*v**2 - 50*v**3 to the form p + z*v**3 + t*v**2 + a*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 - 2*o + 1. Let b be g(-2). Suppose y - 35 = 5*r, -193 + 35 = -4*y + 2*r. Suppose -x - b = -y. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-37 - -31)*(-3 - 35). Solve -v*d + 229*d - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2569\/11 - -234. Let d(c) = 2*c**2 - 38*c - 364. Let w be d(26). Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1414451 and 17?\nAnswer: -24045667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2059181 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -16b991 (base 14) to base 15\nAnswer: -10c24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2 = -4. Let p(f) = -22*f. Is p(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 14\/(-1)*(52\/14 + -4). Suppose y*b = 6*k - 3*k + 14, -3*k + 3*b = 9. Suppose 0 = -k*x - i + 1625, -4*x - 4*i + 7*i = -3245. Round x to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.8 times 0.576\nAnswer: -1.6128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2574*s - 5142. Give p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3026, 12619, 28788, 51527, 80830, 116691, 159104, 208063?\n\"Answer: -z**3 + 3294*z**2 - 282*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15875, -15801, -15727?\nAnswer: -15653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3615.38+-3\nAnswer: 3612.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/4 + 31*k**3\/4 + 87*k**2\/4 + 85*k\/4 + 7.\nAnswer: (k + 1)**3*(k + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 43266.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + 17*g - 11. Suppose 2*d - d = -5*x + 78, -3*x - 4*d = -40. Let c be l(x). Solve -c + 4 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 3, -5, -1.\nAnswer: -5, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 + 59*p - 6. Let o(u) = 30*u - 5. Let l(a) = 7*o(a) - 4*q(a). Give l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*w + 15*w - 119 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + ((-1887)\/(-18))\/17.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-2)*(-23 + 13) + 4. Let l = -58 + 101. Let u = l - b. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 503*r - 8210 = -162 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o = 4*m - 28, -5*o = m - 34. Suppose 0 = -4*f - 2 + o. Let u be (2 + 2 + 13)\/f. What is the highest common divisor of 136 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 - -31. Solve 0 = 3*t - i - 14, -j*i = 3*t - 6*t + 29 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - -11) + -2 - (-586 - -679)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z. Let q(m) be the second derivative of 17*m**4\/12 + 14*m. Give n(q(v)).\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.99986 micrograms to grams.\nAnswer: 0.00008899986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, r: 2, v: 8, h: 1}. What is prob of sequence vhvr?\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166*l + 161*l = -5400. Calculate the highest common factor of 1404 and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110010011 - 10010?\nAnswer: -110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -1252*d - 4*d**2 - d**3 + 625*d + 625*d + 2. Suppose -4*b + 16 = -5*f, 13 = -2*f - 4*b - b. Give z(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**4*o**5*o)**(-4\/13) assuming o is positive.\nAnswer: o**(-44\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) -2  (c) -37  (d) 0.02  (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(4\/153) + -4. Suppose -2*q + 33 = q. Let x = q + p. What is x rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.2 - -4.4. Let m = -199\/80 + 27\/16. Let b = -15.7 - -16. What is the closest to f in m, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-40304)\/(-56) - (-2)\/7. Suppose -25*m + 19*m + l = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4725, -37895, -127923, -303237, -592265?\n\"Answer: -4738*t**3 - t**2 - t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13586 + 122668?\nAnswer: 136254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2*(-31380)\/1046\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -165 + 47. Let x = z + 122. Solve 5*i + 36 = -4*y, 3*i + y + x = 3*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9580a (base 13) to base 3.\nAnswer: 111200112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 7 + 31*g - 4*g in the form r + c*g and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (d - 4 + 4)*(-3*d + 5*d - 4*d) - 4 - d**2 + 4 + 2*d - 2*d - 2*d**2 + 4686*d**2 + 5361*d**2 - 8007*d**2 in the form x*d + u*d**2 + v and give u.\nAnswer: 2035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*m**2 - 2*m**2 + 4*m**2)*((-3 + 0 + 2)*(-3*m + 0*m + 2*m) - 4*m + m + 5*m + 0*m - 3*m + 5*m + m + 0*m + 2*m)*(0*m + m + 3*m).\nAnswer: -192*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2048849171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8801656 divided by 11?\nAnswer: 8801656\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -322224, -322296, -322354, -322392, -322404?\n\"Answer: j**3 + j**2 - 82*j - 322144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*o + 7. Suppose -o*y + 3*x = -9, 3*y = 4*y - 2*x - 4. Which is the second biggest value?  (a) 5  (b) -2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 50*s - 51*s + 6238 = 0, 2*s = -i + 2086. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*b - 10 = 83*b + 431 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 13) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1*55\/209)\/(2\/18) and -25\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*p - 24*p + 1788000. What is p rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*i + 5*r = 29*i - 41879, 0 = -4*i + 4*r + 55844. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-41)\/a)\/a**44)\/((a\/(a**(-10)\/a))\/(a\/(a\/(a*a**31*a))*a)))**(-1\/2) assuming a is positive.\nAnswer: a**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-179320)\/(-25760) - 2\/(-8). Let f = 110\/23 - t. What is the common denominator of f and 47\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 1:40 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 346553 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 373 - 177 = 0. What is the highest common factor of f and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/320 and (-4)\/(-120)*(4 + 540\/(-16)).\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2*j - 60 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27729*h**3 + 326*h**2 - 2*h + 413344275 wrt h?\nAnswer: 83187*h**2 + 652*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 574432084 a multiple of 4467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36.925 + 35.925. Let v = -5 + 2. What is the nearest to v in -2\/5, t, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26.564153 + -25412.468753. Let i = g + 25388. Let a = i + -2.1. What is a rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62953 is divided by 31465?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2*15\/9*3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41151 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/10*(6 - -9). Let d(h) = h + 14. Let f(j) = -1. Let q(n) = d(n) - 3*f(n). List the prime factors of q(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 1:48 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 1411\/10  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 8*b**2 + b + 2. Let t be y(6). Suppose 2*l = 32 + t. Round l to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3093407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 3*v**3 - v**2 + v + 10. Let i be r(3). Calculate the highest common divisor of 35 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*t + t. Suppose -r - r = t. What is the second derivative of 14*l + r*l**3 - 3*l - l**3 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*2\/6)\/(8\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -5  (c) 16  (d) 20  (e) 29  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (71 + 155 - 161)*(-1 + 1 + n**2) to the form c + h*n**2 + k*n and give h.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23938, -23937, -23936?\nAnswer: -23935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 3*s**2 - 6*s - 6. Let j be h(-4). Suppose 0*w = 5*w - 35. Suppose -2*o + w = 3. Solve 2*b = o*x + 12, -4*b = -5*x + j*x - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2 + -2*sqrt(2448))**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of -i**8\/8 - 19*i**4\/24 + 24*i**2. What is the second derivative of s(v) wrt v?\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2824*i - 1413*i - 1413*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i**3 - 2053476*i**2 - 14374371*i - 20534830 = 0. Calculate i.\nAnswer: -5, -2, 2053483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 234 and 150540.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (434\/4)\/((-210)\/(-18)) + 10\/(-1*1).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + 10*g + 13. Let c be q(11). Suppose 5*t - 5 - 5 = 0. Find the first derivative of -3*a**t + 12 - 17 - a**c wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.1, -44, 1052?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**2\/2 + 367578996*x + 22519053050061336 = 0 for x.\nAnswer: -122526332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {v: 10, d: 1, g: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 301175331.5 rounded to the nearest ten thousand?\nAnswer: 301180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/30 and 35\/312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of -t**5\/60 + 7*t**4\/12 + t**3\/2 + 14*t**2. Let j be q(14). Solve -18 = 7*a - j*a + 2*r, 5*r = 2*a + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**2 - 40*y - 41. Calculate h(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 225*v - 38*v = 4*v + 5307 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 55, 118, 215, 352?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1\/2, -0.029, -0.1 in decreasing order.\nAnswer: -0.029, -0.1, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 109 and -4300\/251 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/17?  (a) -4  (b) 7  (c) -3.13  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -172, 0 in increasing order.\nAnswer: -172, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 462720 = -10167*d - 1401*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/25 + (-56)\/(-10). Suppose -8 = z*r - 33. What is the second derivative of o**5 + 2*o**r + 0*o + 2*o - 4*o**5 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (189 + 161*o - 189)*(-o - 4 + 0 + 4*o).\nAnswer: 483*o**2 - 644*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 53*r + 0 - 30*r)*(-5*r**2 + 20*r**2 - 2*r**2).\nAnswer: 299*r**3 + 26*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) - (2*sqrt(133) - sqrt(133)))*-4 - sqrt(133) - (sqrt(133) + (sqrt(133) - (sqrt(133)*-1 + sqrt(133))))*-2)\/(2*2*sqrt(700)).\nAnswer: 3*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 90\/25 - 4\/(-10). Let a(p) = 11*p**2 - 17*p + 12. Let m(o) = -5*o**2 + 8*o - 6. Let d(s) = 6*a(s) + 13*m(s). What is the units digit of d(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -2\/13  (b) -270  (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-8))\/((-24)\/560)*(40\/(-5))\/240.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of 0*d**3 + 0*d - 2*d**2 + 0*d**6 + 0 - 3\/20*d**5 + 11\/210*d**7 + 0*d**4. Find the third derivative of u(f) wrt f.\nAnswer: 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 5:01 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o - 12. Calculate the remainder when 87 is divided by u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a**3 - 72*a**2 - 4*a + 72. What is v(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2978211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 1896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6018.9987806 + -6019. What is f rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**6)\/z)\/z**3)\/((z*z\/z**5*z)\/(z\/(z**(-4\/5)\/z)*z))*(((z\/z**(2\/7))\/z)**(-8))**30 assuming z is positive.\nAnswer: z**(2708\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66.9 - 65.96. Round c to 2 decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + z - 92 = -2*z, 0 = -g - 2*z + 48. Suppose -4*s + 5*y - g = 0, -3*y = -4*s + 18 - 50. Which is the third smallest value?  (a) 1\/9  (b) -8  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 5 = 19*c - 81, -7*n + 5*c = -2*n + 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5*b = x - 100, 5*x + 3*b = 144. Suppose x = g + g + 5*c, 2*g + 3*c = 26. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**2 + 11*d - 5. Give l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 5*h**2 + 8*h - 7. Let q be r(6). Suppose q*t - 38 = -3*y + 2*y, -y = -2*t + 18. Solve 3*b = 2*x + t, -4*b + 3 = 6*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 6*l**2 + 2. Let f be v(6). Let x(n) = -n**3 - n**2 - n - 21. Let c be x(0). Let t = -11 - c. What is the greatest common factor of f and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r - 13. Let h(q) = -3*q - 14. Let z(l) = -4*h(l) + 5*p(l). Let c be z(9). List the prime factors of 9*(69\/c - 1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3370*k*x**5 - 155*k*x + 3751*x**3 + 618724*x wrt x.\nAnswer: 67400*k*x**3 + 22506*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -7 + 4104\/95 - (-2)\/(-10) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/19883 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 24, 90, 200, 354, 552?\n\"Answer: 22*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 0*f - f)*(2*f**3 + f - f) - 4*f**3 - f**4 + 4*f**3 + (1 + 1 - 1)*(-4*f**4 + 2*f**4 + 3*f**4) + 5*f**4 - f**2 + f**2.\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/5)\/b)**(-29)\/(b**(1\/3)*b)**(23\/2))**(-3\/16) assuming b is positive.\nAnswer: b**(-379\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 161*q*r**3 + 3*q*r**2 + 483*q*r - 2*q - 11*r**2 - 3*r + 4 wrt r.\nAnswer: 966*q*r + 6*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2668842*l + 8796652 wrt l?\nAnswer: 2668842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r - 1. Let c be g(-2). Let x = 175 + -172. Solve 0 = -c*z + x - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 856 and 3218132.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-20) + 2\/5. Suppose 0 = -5*b - 5*q + 35, -2*b + 4*q + 14 = -f*q. Let m = b - 3. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.80828 - -0.6419. Round c to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + sqrt(14)\/sqrt(2) + 2 + 3.\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1101*l = -849*l - 2335*l - 156962 + 41267 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -6*b. Let w(m) = 4*m. Let r(q) = -7*w(q) - 5*z(q). Let j(i) = 29*i. Determine j(r(g)).\nAnswer: 58*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-12) + (-8)\/((-800)\/1125)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i**2 - i. Let g(n) = -7*n**2 + 9*n - 9. Let l(r) = g(r) + 4*v(r). What is l(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of s**5\/20 - s**4\/12 - 49*s. Let i(f) = -3*f**2. What is i(k) - 4*r(k)?\nAnswer: -4*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 638 divided by 580?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -11.5 from -115207.55.\nAnswer: -115196.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 + 254525?\nAnswer: 254524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 14.11, 5\/2 in increasing order.\nAnswer: -28, 5\/2, 14.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from khkqzqqhkkkk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 7:07 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000230672 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 25.768823 and -1.9.\nAnswer: -48.9607637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z + 1447*z**2 - 5*z - 56*z**2 - z.\nAnswer: 1391*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -3*c + c + 30, 2*c = -p + 16. Let m = p + -7. Factor -8*x**5 - x**2 - m*x**3 - 8*x**5 + 7*x**5 - 15*x**4.\nAnswer: -x**2*(x + 1)*(3*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -i**3\/3 - 3*i**2 + 30*i. Give l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 434797887 is divided by 1288.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 38, 18, 3 in decreasing order.\nAnswer: 38, 18, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -109232243*m**2 + 50131094 with respect to m.\nAnswer: -218464486*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -218*j - 62*j + 1521*j = -2001*j + 444154 for j.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -27*v**4 + 360*v**3 - 984*v**2 + 864*v - 240 = 0. Calculate v.\nAnswer: 2\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/2*12\/10. Let i be y\/8 - 3\/12. What is the units digit of (-7 + 8)\/(i\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/45570 and -157\/120.\nAnswer: 182280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 3*z + 12 = -3*l, -2*z - 3*l = 0. Let j = z + -1. Find the third derivative of a**4 + a**j - a + a wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 95 = -a, 3*l = -a - 3*a + 34. Suppose 3*z - 10 - 16 = 5*p, -z - 5*p - l = 0. Factor -u**3 - u**3 + 4*u**3 - z*u**4.\nAnswer: -2*u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 53501.11707 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 9 = 1. Let z be (-22)\/(-6) + 4\/(-6). Solve y*w + j = 7, 2*j - z = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -76999.189 rounded to the nearest one hundred?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 11459910 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -19, 586, 2413, 6074, 12181, 21346?\n\"Answer: 102*t**3 - t**2 - 106*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-129)\/(-18) + -3 - 2*2. Let p = -0.11 + 0.33. Let h = p - -0.08. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 10*q + 2. Let z(k) = -51*k - 11. Let o(g) = 11*l(g) + 2*z(g). Let y(a) = -2*a**2. What is o(y(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-41244)\/(-167922)*3\/(-35).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 + 2 + -1 + -1 - (55 + (3 - 54)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -10*(15\/6 + -3). Let g(i) = i**2 - 10*i**2 + 2*i**3 + 6*i**2. Let q be g(2). Is x >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -133826 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 21*s**2 + 22*s + 52. Determine n(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 79293204 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*s**2 - s - 24*s**3 + 2*s - 48*s**2 - 5*s**2.\nAnswer: -24*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 555*t**3 + 593.\nAnswer: 1665*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -cb5 (base 13) to base 9\nAnswer: -2877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 464 + -4727\/10. What is the common denominator of 38\/60*(-3)\/(-2) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*b**3*d + 31715*b**3 - b**2*d + 3*b + 1092565 wrt b.\nAnswer: -72*d + 190290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v**2 + 20*v + 33. Let t be i(-11). Calculate the highest common divisor of 110 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -21*j + 4014. Let l = j - 205. Suppose -i + 2*f - f = -11, -i = f - 1. Calculate the lowest common multiple of l and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/(-15) - (-1482)\/5.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * -26026\nAnswer: -2082.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 12*y + 236 = -3*u, -5*y + 3*u = -298. What is the greatest common factor of 713 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 9:15 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 145 - 47 = 5*w, 4*g - 4*w = 168. Let m(o) = o**3 + 14*o**2 + 14*o - 7. Let l be m(-13). Let j = g - l. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 464 and 670828?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 243664885?\nAnswer: 5, 1201, 40577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 6*t**2 - 2*t + 17. Let y be c(6). Solve y = 4*w - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -24159 and 0.3?\nAnswer: -7247.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - 1b?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of w**3\/3 + 2*w**2 + 2*w + 185. What is p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2*s + d + 166 = 0, -d = -2. Let h = s - -209\/5. What is the smallest value in 0, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90910 is divided by 677.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 282639460392 and 2?\nAnswer: 282639460390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 1\/3, 2, -0.2 in decreasing order.\nAnswer: 12, 2, 1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -785\/2 + 400. Let i = -7 + x. Which is the third biggest value?  (a) -5  (b) i  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2055869?\nAnswer: 199, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-10)*((-912)\/(-133))\/(-16).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 3*v + 2)*(-1 + 1 - 1) - 2*v - 2*v + 2*v)*(2*v**3 + 0*v**3 - v**3).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19520?  (a) -78  (b) 1  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -58 - -55. Sort 1, 2, s in decreasing order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 7*h - 238763 + 155687 + 83076.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 176391000 rounded to the nearest one million?\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-3) + 7 - 8\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + j + 11, -5*i + 5 = 2*j + 3*j. Suppose 3*v - i = 4*v. Let b = 49 + -49. Put v, b, 3 in ascending order.\nAnswer: v, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 10 and -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*y + 421*y = 14375 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 - 56 + 52 - 5*i - 2*i**3 - i as m*i + y*i**3 + a + n*i**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6123 - 5727.9. Let l = -379 + f. What is l rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-5 + -2 + -4*(5 + sqrt(75)*2 + 0) + 3)**2.\nAnswer: 1920*sqrt(3) + 5377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1818.81593 rounded to one decimal place?\nAnswer: 1818.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2802 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 x, and 2 b when four letters picked without replacement from {t: 1, n: 1, b: 3, x: 2, p: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -84\/23?  (a) 0.1  (b) 1  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -98460.\nAnswer: 39384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 267724187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, w: 4, m: 2}. What is prob of sequence mmw?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 557, 727, 897, 1067, 1237, 1407?\n\"Answer: 170*o + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -q + 7, -5*s + 4 = -2*s - 5*q. Suppose -r = 4*a + 11, -r + a + 1 = -s. Sort r, -3, -5.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -2\/11  (c) 0.1305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*q + 0*q - 136 = 146 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (4 - (5 - -2)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(2\/7)*p)**(8\/7)\/((p*p\/(p*p*p**(-6)*p*p*p))\/(p*p*p**(-2)*p)) assuming p is positive.\nAnswer: p**(30\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y - 130 + 255 - y - 125.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 6*y**2 + y - 1. What is r(5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-3 + (sqrt(847) + 1)*-3)*5)**2*-6.\nAnswer: -2297700 - 118800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -185 - -229. Calculate the highest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/3330 and 7\/540231.\nAnswer: 599656410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, h: 1, t: 3, y: 2, x: 1, v: 3}. Give prob of sequence xt.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 879605.\nAnswer: 5, 19, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 846543*l**4 - 3*l**3 - 46866274*l**2 + l + 1 wrt l.\nAnswer: 20317032*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*t = 12. Let p(z) = -z + 7 + 6*z**2 - 7*z**3 + 3*z + 14*z**3 - 6*z**t. Let d(v) = v**2 + 6*v - 6. Let y be d(-6). Give p(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 35 = -3*q, -96*q - 56 = -l - 101*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 - -24. Suppose 2*n + 0*d + d = 54, 2*n = -5*d + t. Let w = n - -24. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + -17. Suppose -q*f + 3*f = -3. Find w such that 2\/7*w**f + 0 + 2\/7*w**4 + 0*w - 2\/7*w**5 - 2\/7*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/4)\/(6\/1032). Suppose 241 = p + s - 2*s, 4*s = -5*p + 1196. Let o = p + i. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(3\/(-21) + (-48)\/(-630)). Solve -n = 5*n + u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (3 + -2 - 11). Let f = a + -8. Solve 0 = 4*z + r - 7, 2*z - 5*r - 6 - f = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 36\/20 - 2\/(-10). Let b(f) = 6*f**3 + 2*f**2 + 3*f + v + 2*f**3 - 7*f**3. Suppose 0 = 4*i - 3*i + 2. Calculate b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w + 1704 = 15*w. Calculate the smallest common multiple of w and 4.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 339 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -65008*o**4 + 29*o**2 - 2*o + 333.\nAnswer: -1560192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1765, 1616, 1453, 1270, 1061, 820, 541, 218?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (435 - 73 + 653 - 310 + 502)*(3 - 3 - 4*d).\nAnswer: -4828*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -w**4\/24 + 19*w**3\/6 + 6*w**2. Let j be k(8). Solve -3*i - 4*x - 4 = 0, j - 3 = -3*i - 2*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -17\/2052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.11?  (a) -3  (b) 50635  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -519355671, -519355670, -519355669, -519355668, -519355667, -519355666?\nAnswer: -519355665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 75040.05 meters in micrometers?\nAnswer: 75040050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 68388104*f**2 - 601417115 wrt f?\nAnswer: 136776208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 5*v**2 + v - 1. Let x be w(5). Suppose 32 = 4*y - x*d, 3*y + d - 6 = 6. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15 + -110e?\nAnswer: -10e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 52*o**3 + 109*o**2 + 47*o - 10.\nAnswer: (o + 1)*(4*o + 5)*(13*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 PM and 8:33 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 761, -1, 2, 3, -3 in increasing order.\nAnswer: -3, -1, 0, 2, 3, 761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16.5 - 13763.\nAnswer: -13779.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = -14*t + 32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(((-72)\/6)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 8 = 5*p + 3, 0 = -g - 5*p - 3. Solve 0 = -g*q + 4*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.3764338806 plus -2.5?\nAnswer: 10.8764338806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1874 + -717. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of -y**2 - y + 10. Let s = 6 + -9. Give a(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -27. Let v be (1128\/(-96))\/((-1 + 3)\/(-8)). Let x = v - 45. Solve 4*t = -h - x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 9501 = -4*j - 2517, 4*z = 2*j - 3472. Calculate the lowest common multiple of j and 4.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 8. Let r = 11 + 7. Suppose -59 - r = 11*z. Let t = z + 7. Give s(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 7, r: 12}. Give prob of picking 2 l and 2 r.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 93524713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 344, 529, 756, 1019, 1312, 1629?\nAnswer: 1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/16*62\/(-3). Suppose 5*z + 1 - j = 0. Let q(y) = -y + 8. Determine q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2322 - 4?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**2 + 4*h - 3. Let a be g(1). What is the closest to -4 in -3, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 3:03 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -198d (base 16) in base 6?\nAnswer: -50141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**3 - u + u + (u**2 - u**2 + 2*u**2)*(-9*u + 731*u - 137*u) as b*u**2 + l*u**3 + p + i*u and give l.\nAnswer: 1169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29088 divided by -101.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 1 - 1 + 4)*(-61252*c - 23 + 61251*c + 151).\nAnswer: -2*c**2 + 254*c + 256","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = o - 2*o. Suppose -3*r + 1 - o = 0. Put 1, r, -1 in ascending order.\nAnswer: r, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 2*t**2 - 5*t - 6. Let b be j(0). Let v(y) = -4*y - 1. Let n(x) = 5*x + 1. Determine b*v(c) - 5*n(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*h = 11*h + 990. Calculate the greatest common divisor of h and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*x - 55 = 0, -5*x + 3 + 0 = 4*h. Suppose 2*l = h*l - 5. Factor -l + k**3 + 4*k - 3*k**2 + 0 - k.\nAnswer: (k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 9:54 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 1719 and -1136\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4.7, -0.05, -4\/3, 5, -4, -187?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -572769300 rounded to the nearest one million?\nAnswer: -573000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a - a + 7*a - 2*a**2. Let r be p(2). Let h = -0.2 - 0.3. Sort 0.5, r, h in descending order.\nAnswer: 0.5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5643 or -5642?\nAnswer: -5643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13 and 2249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*k**3 + k**3 - 7*k**3 - k**3 - 6*k**3 + 5*k**3 + (-k**3 + k**3 - 2*k**3)*(-3 + 4 + 1).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((195\/(-1040))\/(18\/48))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -75 - (1678 + -1720)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1703657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 876385843 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1952*s**3 - 16*s**2 + 2862492*s + 5?\nAnswer: 11712*s - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-3)\/i)\/i**(-9))**(-34\/3))**(-29) assuming i is positive.\nAnswer: i**(4930\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -211, -1020, -2367, -4252, -6675?\nAnswer: -9636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -24, 3*b - 33 = -8*d + 75 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -1\/4, -1105589.9, -2\/15, -3?\nAnswer: -1105589.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -13 - 1 - (-1 + -1). Let f = -9 - j. Let v(q) = -9*q + 5. Let w(y) = 10*y - 6. Let l(g) = -7*v(g) - 6*w(g). What is l(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-6*6\/(-60))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**3*x*z - l**3*z**2 + 2*l**3*z + 7*l*x - 9*x*z**2 wrt l.\nAnswer: 12*l*x*z - 6*l*z**2 + 12*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -378 (base 11) to base 7\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-16 - -23) + -2 + -10 - -13719?\nAnswer: 2, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53919*q - 161773*q + 53919*q + 53935*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 80892 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: Calculate 57127312 divided by -28563656.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 - 22. Let s = -14 + v. Suppose -5*g - 105 = -4*i, -g + 5*g = s*i - 104. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**3 - b**2 - b + 1. Let m(z) = -12*z**3 + 5*z**2 + 6*z + 8. Let l(a) = -m(a) + 5*y(a). Let s be l(6). Solve -2 = v + f - s, v = 2*f - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 8*r**2 + 7*r + 6. Let l(s) = s**3 - 5*s**2 - s - 7. Let z be l(5). Let i be z - (1 - (4 + 2)). Calculate j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 0 + -5 + 8 + -3 + -9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 15 = -3*i, -2*a + 5*i + 21 = 0. Let t = -1 + a. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26713195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 336821176.5199413 - 336821162. Let y = g + -14.52. Round y to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 217*v**2 - 5. Let c(x) = 29*x. Determine c(d(s)).\nAnswer: 6293*s**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 2 = -5*c - 34, -4*c - 36 = -5*t. Put t, 2, 5, -3 in descending order.\nAnswer: 5, t, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -430\/131, 0.3.\nAnswer: -430\/131, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 2*y - 1597. Let u be h(39). Solve 14*t - 9*t = l - 9, 0 = u*t - 4*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*w - 2*w - 5*n + 18, -4*w = n + 6. What is the hundreds digit of 2\/w*0 + 118 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -862*r - 239816 = -520*r - 1110*r - 1166*r. Suppose h = 2*h - 31. Let u be h*2*1\/2. Calculate the highest common factor of u and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008 times -3509375?\nAnswer: -28075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/23, 3, 11\/5, -0.06, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**2 - 56*z + 668. Let i be u(-37). Let 0 + 2\/3*f**i - 1\/3*f**3 + 0*f = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1221.9 - 1222. Let k = -33\/74 + -2\/37. Let x = 0 - -0.1. Which is the third smallest value?  (a) t  (b) x  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 1\/15  (b) -1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 2\/3, -1\/16, 3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -6.1, 0, -1, -0.8?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 3:11 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/10*5*-1. Let u = s - -4. Solve 2 + u = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 872 + -867. Solve -d = 5*m + w, -3*m = m - 4*w + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2 - b + 1. Let d(k) = -2*k**2 + 2*k - 17. Calculate -3*c(l) - d(l).\nAnswer: -4*l**2 + l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/3 - (760\/(-12) - 1). Let i = 74 - j. Does 17 divide (2574\/i)\/3 - (-24)\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 7:08 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -0.5, 3, 3548, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363\/2 - 67\/6*u**2 + 385\/2*u + 1\/6*u**3 = 0. What is u?\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15 is divided by (-21)\/6*(128\/(-14))\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 2*p + 4. Let j be 2\/5 + (-110)\/25. What is the tens digit of g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 - 49. Let y(n) = -9*n**2 - 3*n + 2. Let c(q) = -14*q**2 - 5*q + 3. Let p(g) = j*c(g) - 8*y(g). Suppose 2*l - 6 = 5*l. What is p(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*h**3 - 15*h**3 - 26*h**3.\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (5 + 2 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*k + 945, 2*h + k - 867 = 88. Let y(l) = -159*l - 160*l + h*l - 161*l - l**2. Let q(b) = -19*b**2 + 6*b. What is y(q(j))?\nAnswer: -361*j**4 + 228*j**3 - 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of r**5\/30 + 15*r**2 - 3. Let n(g) = -g**2 - 17*g. Calculate n(t(b)).\nAnswer: -4*b**4 - 34*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*r - 295*r + 1492 = -1814 - 9819 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 436.80681.\nAnswer: -1310.42043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -695 + 700. Suppose 4 = 2*a + 5*r, z*a - 22*r - 72 = -19*r. Solve 0 = y + 2*y + 15, -2*y - a = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 45 + (-5 - -18 - 195).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)\/(-1*sqrt(7)))\/(sqrt(45)\/sqrt(5)*-5).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 816*l + 55568. Calculate h(-75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 8:00 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 282804359041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -712.98 + 712.8699997. Let a = 0.11 + c. Round a to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -857*s*u + 2*s - 159*t**3*u - 56987*t**3 wrt u.\nAnswer: -857*s - 159*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -7*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*x - 19. Let s be -38*(-8)\/(-3)*(-72)\/32. Let q = -162 + s. Calculate the remainder when q is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/3, -0.08, -1\/3, -2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 226241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a + -477?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -4456?\nAnswer: 8912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 77 + 175 = 12*y + 3*y, l = -4*y + 20 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 141793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10899*d**5*r - 2*d**3*r + 2*d**2*r + 14*d*r + 22*r + 10 wrt d.\nAnswer: -653940*d**2*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*h + 234 = 459. Solve -4*j + x = -19, 0 = -5*j - h*x + 2*x + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/30*50\/(-2)*419\/838?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -6*z**2 - z. Let k(a) be the third derivative of 7*a**5\/60 + a**4\/24 + 79*a**2. Give -4*k(g) - 5*l(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccicmigmhcom. What is prob of sequence go?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 21 = i, 0*u + 2*u - 102 = -4*i. Let v be ((-18)\/(-8))\/((-9)\/i). What is the units digit of 1\/(0 + (-2)\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 548, -7, -16 in increasing order.\nAnswer: -16, -7, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/154 + -3551\/1386. Let n = -35367\/11 + 3213. Find the common denominator of z and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**3 - 4*o - 2. Suppose m = -32*k + 31*k + 1, 2*k + m + 2 = 0. Let r(j) = 6*j**3 - 3*j - 1. Determine k*q(l) + 4*r(l).\nAnswer: 9*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 5*l + 4, -3*w - l = l - 6. Let p be (-4 - 2)\/(w + -3). Suppose r + 455 = p*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 13 + 15 = 0, 2*u - 4*o = 200. Calculate the remainder when u is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -214, -401, -580, -745, -890, -1009, -1096, -1145?\n\"Answer: i**3 - 2*i**2 - 188*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-12)\/(y\/(((y**(-1)*y)\/y)\/y)))**(1\/16)*(y\/y**(-4\/5)*y*y**1)\/(y*y**(2\/9)\/y*y)**48 assuming y is positive.\nAnswer: y**(-13393\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 21. Let c be b(-20). Is 8\/(3 - 5) + 1787*c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of 0 - 1\/6*t**4 - 1\/10*t**5 + 3*t + 0*t**2 - 1\/9*t**3 - 1\/45*t**6. Let h(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*y - 20*y + 3 = u, 2*u = -3*y + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 2)*(4*d**3 - 4*d**3 - 2*d**3)*(-d + 0*d - 2*d + (-5 + d + 5)*(-5 + 4 + 0)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 17\/340 + 2\/(-8)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 5168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 4*p**2 - 3*p + 4. Suppose 0 = -2*n + 3*n - 3*f - 15, f + 45 = 2*n. Suppose 9*b - 3*b = n. Determine v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pm when two letters picked without replacement from ipppmipipnpppmppmmp?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 6:58 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 2. Suppose -s*n + 2 = -4*n. Let w be (n - 5)\/3*4. Let f(z) = z + 1. Calculate f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 5, 0, -2, 192 in descending order.\nAnswer: 192, 5, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -3238 at least -3414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -18\/30553 and 67\/398?\nAnswer: 12160094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 3*v**4\/2 + 51*v**3\/2 + 15*v**2 - 144*v = 0.\nAnswer: -16, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 47*q**2 - 214*q + 8. What is w(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 1254*m**2 + 1. Let u be (-5)\/(-4) - (-7)\/(-28). Let a be s(u). Suppose 0 = -3*g - 2*g + a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -146598, -586345, -1319236, -2345265, -3664426, -5276713, -7182120, -9380641?\n\"Answer: g**3 - 146578*g**2 - 20*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -362680?\nAnswer: -36268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1911.4 times 2.4?\nAnswer: -4587.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 34*m - 274. Let w be s(-20). Solve -3*c = w*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 0\/(4\/(-1) + 7) + 61?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 9 + 6)*(-2*h**2 + 2*h**4 + 2*h - 2*h + (h**2 - 1 + 1)*(472*h**2 + 725*h**2 + 336*h**2) - 2*h**4 - 2*h**4 + 6*h**4).\nAnswer: -12296*h**4 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/37 in 1\/2, 0, -19\/10, -5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - 19*k - 88. Let m be o(-8). What is the nearest to 1 in m, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5640803 and 1337.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*q**2 - 18*q**2 + 6*q**2 + (4*q**2 - 19*q**2 + q**2)*(25 - 2 - 5) to g + d*q**2 + i*q and give d.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of 2*o**3\/15 - 7*o**2\/5 + 12*o\/5 - 37. Find f, given that x(f) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 731201*v - 2. Let s(k) = 5*k. Determine n(s(r)).\nAnswer: 3656005*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-36))\/((-3)\/2116). Let w = m + -59. Let r be (3\/8)\/((-18)\/(-8)). Sort 1, w, r in ascending order.\nAnswer: w, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -128*b - 10. Let j be c(-4). Suppose -3*l + j = 5*t - 6*l, 2*l = -8. Let z = -56 + t. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*d*i*m - 2*d - 3362*i*m**2 - 97*m**2 + 42*m with respect to i.\nAnswer: -4*d*m - 3362*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t - 2*t + 2*t)*(3 + 3 - 3 + (2 + 0 - 3)*(4 - 3 - 2) + 1 - 1 + 1) as y*t + o and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 549a?\nAnswer: 5495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7777.011ml in litres?\nAnswer: 7.777011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 292 + -154. Let r = 237 - j. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 402736.3 millennia?\nAnswer: 4832835600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1204615542 a multiple of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 29\/23, 2\/7, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from uwukuhukwkkhkuhuuuu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3969899.\nAnswer: 3969899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -131*h - 173. Let f(z) = 22*z + 29. Let r(t) = 3*t**2 + 7*t - 14. Let q be r(3). Let b(l) = q*f(l) + 6*k(l). Find the first derivative of b(v) wrt v.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 + (-2 - 1) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**3 - x**2 + x. Let n be u(1). Let r(t) = t + 4. Let z be r(-2). What is the derivative of -3 - 7*c**z + 3*c**2 + c**n wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 - 3 - (-8 + -11). Solve g*v + 42 - 78 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, y: 1, v: 2, g: 1}. Give prob of sequence nv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5279 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 3, -4, 1 in decreasing order.\nAnswer: 3, 1, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1133311113 (base 4) to base 6.\nAnswer: -12225143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0*j = -12. Let v be (-4)\/(-6)*j\/1. Let t(s) = s**3 - 4*s**2 - 3. What is t(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -37272 or -34052?\nAnswer: -37272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -31*x**2. Let c(r) = r**2 + 28*r - 102. Let a be c(-32). Suppose a*g - 6 - 20 = 0. Give n(g).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 156, 186, 226, 282, 360, 466, 606, 786?\n\"Answer: w**3 - w**2 + 26*w + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -2*r - 15. Let n = 32 + r. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -358 - -358. Does m = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 173622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 26369332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/2)*h)**(2\/113))**46 assuming h is positive.\nAnswer: h**(46\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 907695411 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*-7*(-1221)\/518?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 49*q**2 + 4*q. Let v be b(-5). Suppose 3*u = 2*d + 3613, -v = -3*u + 2*u + d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 23272, 23267, 23232, 23161, 23048, 22887, 22672?\n\"Answer: -b**3 - 9*b**2 + 29*b + 23253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265376 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125368027?\nAnswer: 163, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-4) + 0)\/((-102)\/(-510))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0.3, 1\/20, 3.05 in descending order.\nAnswer: 3.05, 0.3, 0.1, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/4)\/((-2)\/8). Suppose -5*u + 3*u = -4. Let y(x) = -2*x - x - 46*x**2 + 48*x**u. Determine y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -s**4 - 2*s**3 - 7356294*s**2*t + 28300685*s*t wrt s?\nAnswer: -12*s**2 - 12*s - 14712588*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21709798 or -21709801?\nAnswer: -21709801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5919*(4\/9 - (-4)\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.5 + -10.5. Let s = p + 9.0018. What is s rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 337*t - 16. Let i(w) = w - 7. Give -2*i(a) + j(a).\nAnswer: 335*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 5*x - 7. Let u be (-4)\/(-12) + (-20)\/(-3). What is the units digit of w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 38 - 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -24, -189, -460, -861, -1416, -2149, -3084, -4245?\n\"Answer: -4*k**3 - 29*k**2 - 50*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 24*o**2 + 64*o + 5. Calculate the remainder when i(-20) is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -11*c**5\/20 - c**4\/6 - c**3\/6 - 25*c**2\/2 + 112*c. What is the units digit of l(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/2*(-8)\/(-14). Let b be d\/(-6) + (-7)\/(-3). What is the fourth smallest value in -1\/2, 4, -3, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*r + r - 4*r + (-27 - 140 + 21)*(-r + r - 6*r) + (-2 + 2 - 2)*(-2*r - r + 5*r).\nAnswer: 874*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 1 = -21. Let w be 3*f\/(-6) + 8. Solve a - 3*a = -w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2 - 978*y + 5760.\nAnswer: 3*(y - 320)*(y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*q - 36. What is the remainder when (-1)\/((-8)\/14)*20 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3029*w + 3174*w - 1595 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-12)*3*-38. Let m = -27 + a. Suppose m*s = 20*s - 81. What is s rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1004 - 621. List the prime factors of l.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289 a factor of 43489126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 20811.7, -3, -4, -2\/9, 7 in increasing order.\nAnswer: -4, -3, -2\/9, 7, 20811.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 13) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a microsecond in nanoseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160148546 + 160148546 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.691 + -529.691. Let n = j + 528.401. What is n rounded to 2 decimal places?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 - 28. Let y(b) = -3*b + 4. Let m be y(a). Let t be (0 + m)*(-9)\/(-9). Let q(z) = -z**3 + 3*z**2 + 5*z - 3. Calculate q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 divided by -6?\nAnswer: -332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (-1 - (0 + -1)). Suppose a + 7*t - y*t - 9 = 0, -t = -3*a - 5. Let j = a - -4. What is the greatest common factor of 24 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 10, a: 3, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 4*k, -i + 6*i + 5*k = -60. Let s be 1\/(14\/i*2). Let q = 0.04 + 3.96. What is the nearest to -0.2 in s, q, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*m + 5*m - 3 + 1)*(-7 + 89*m - 185*m + 92*m) to the form y*m + o + l*m**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -0.1, -79, -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**3 + x**5 + x**3 + 4*x**3 + (14*x**2 + x**2 + 0*x**2)*(-2*x**3 - 3*x**3 + 2*x**3).\nAnswer: -44*x**5 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of -5*j**4\/6 - j**3\/6 - 9*j**2. What is m(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, z: 1, j: 2, h: 1}. What is prob of sequence zja?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 88*j + 2376. What is i(-28)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2\/3  (b) -4  (c) -0.2  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17089127 to the power of 1\/2, to the nearest integer?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-84))\/((-9)\/54*-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w + 2 - 1 + 24*w. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - x**3\/3 - x**2\/2 - x + 2. Let g = 29 + -15. What is the least common multiple of h(-3) and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -522, -508, -482, -438, -370, -272, -138, 38?\n\"Answer: h**3 + 7*h - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4185 (base 12) to base 14\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227952?\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 144 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 54 = -4*s, 2*s + 0*c = 5*c + 23. What is the remainder when 54 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 195 in -0.5, -19361, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + s)*(10 + 4*s - 9*s + 7*s).\nAnswer: 2*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -f**2 - 11*f - 5. Let t be g(-8). Solve t*p + 25 = -3*s, -14 = -5*s + 2*p - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 73 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ndnaainaann. Give prob of sequence ian.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = -5*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121922*0.2.\nAnswer: -24384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43 = -4*y - 2*q - 57, 3*q - 24 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1162, 2319, 3462, 4585, 5682, 6747, 7774?\n\"Answer: -b**3 - b**2 + 1167*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 61. Is 2\/7 - f\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10821)\/(-12) + ((-625)\/60 + 10)*-3. What is the greatest common factor of u and 4128?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, s: 2, w: 2}. Give prob of picking 1 s and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*v**5 - 356*v**2 - 1394*v?\nAnswer: 100*v**3 - 712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 11*a + 3. Let z be (2\/(-5) + 2)*30. Suppose -4*c + 52 = -z. What is the remainder when c is divided by p(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 801551?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1727, -2487, -3247, -4007?\nAnswer: -4767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.19 + -2.19. What is the biggest value in -0.8, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -642*d - 924 = -708*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*b*i*q**4 + 2*b + 5*i*q**4 + 3*i*q - 277*i wrt q.\nAnswer: -20*b*i*q**3 + 20*i*q**3 + 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 3*w + 2*w + 7, 13 = 2*v + w. Suppose -5*o + v = -6*o. Let z(t) = 2*t**2 + 17*t - 8. What is the least common multiple of 13 and z(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23963.8645 less than -0.00294?\nAnswer: -23963.86744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 647279 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 7*w**2 + 5*w. Let n be c(-6). Suppose -n*z + 314 = -466. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1734233, 1734215, 1734171, 1734089, 1733957, 1733763, 1733495?\n\"Answer: -2*k**3 - k**2 - k + 1734237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 16 = -b, 2*b - 2*u = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-3)*-1*(5994\/12)\/37.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 12 = -6*v. Suppose y = -v*y + 20, 0 = -4*s + 5*y + 31. Solve 0 = -f - 3*r + s, -3*f - f - r = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 2650297\nAnswer: -5300594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6048 and 1944?\nAnswer: 54432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 8708?\nAnswer: 26124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 324771715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from akaaakkaaa. What is prob of sequence kkak?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1940904716.\nAnswer: 2, 485226179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -10*h. Let b(q) = 110*q + 41*q + 28*q - 33*q. Determine m(b(u)).\nAnswer: -1460*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -64 + 91. Let c = d - 42. Let x = c + 11. What is the closest to 1\/3 in -3, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(i - i - i) + i - 2*i + 5*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 7 - 13. Solve -m + 14 = 5*z, 0 = -3*z - z + k*m - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -442 + 9727\/22. Calculate the common denominator of f and -83\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1835397*m**2 - 71*m**3 + 917698*m**2 - 1 - 23*m**3 + 917699*m**2.\nAnswer: -94*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*z**5 + 348393*z**3 - 10*z**2 + 157920 wrt z?\nAnswer: 600*z**2 + 2090358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y - 1. Let f(s) = -7*s**2 - s + 12. Let d(b) = f(b) + 6*l(b). Let p(n) = 6*n**2 + 6*n - 5. Calculate 5*d(a) + 6*p(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1976, -8014, -18072, -32144, -50224, -72306, -98384, -128452?\n\"Answer: h**3 - 2016*h**2 + 3*h + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 8:44 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 98542.6m?\nAnswer: 98.5426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 3 = 2*b - 4*i, -i = -3*b + 3. Let m(r) = r**3 + r**2 - 4*r. Let x be m(b). What is the greatest common factor of 32 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t - 13. Let x be j(-19). Solve 2*h + 2 = x, -5*p - 23 = -4*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 4, 0.33, -0.1, 6, -0.239?\nAnswer: -0.239","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 90059\/50055 - -8\/10011. Factor j*n**2 - 12\/5 + 0*n + 3\/5*n**3.\nAnswer: 3*(n - 1)*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1537 in 3\/2, -149\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -69489\/16 - -4343. Calculate the common denominator of -109\/4390 and a.\nAnswer: 35120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*u**2 - 32 + 4 + 33*u**3 - 2*u**2 - 18*u**3 - 16*u**3.\nAnswer: -u**3 + 8*u**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of s**6\/120 - s**5\/15 - s**4\/6 + s**3\/6 - s**2 - 8*s - 35. Let r(p) be the second derivative of t(p). Give r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, -4, 1, 9, -5 in increasing order.\nAnswer: -5, -4, 1, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 11 = -3*z. Let i = 63 + z. Suppose -190*y + 6511 - 1761 = 0. What is the remainder when i is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*u**2 + 210*u + 9315 = 0. Calculate u.\nAnswer: -27, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 1:52 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 - 5. Let q be 19 - 2 - (0 + -2). Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8*8\/16 - 9)\/(15\/(-9)). Sort -76, k, 0, -1.\nAnswer: -76, -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 + 7*m + 3. Let r be l(6). Let x be 2\/r - (-375)\/135. Find the third derivative of x*n**2 + n**5 - n**5 + 3*n**6 - n**6 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 - 10. What is the remainder when l is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 1. Let t(y) = -13*y**2 - 27*y - 2. Calculate -2*n(v) - t(v).\nAnswer: 11*v**2 + 27*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 901?  (a) 2\/3  (b) -2\/13  (c) 1  (d) 27  (e) 4\/9  (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2\/7 + 3214896*c\/7 + 645972268176\/7.\nAnswer: 4*(c + 401862)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 9*l - 15. Let c be h(6). Calculate the highest common factor of c and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -v**4 + 24424397*v**3 - 226484152*v wrt v.\nAnswer: -12*v**2 + 146546382*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*l = -6*l - 14*l + 70 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/(g**(-12)\/g)*g*g))\/(g\/g**(3\/10))*(g**(2\/3))**(2\/37))**(1\/10) assuming g is positive.\nAnswer: g**(-17387\/11100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1836 divided by -2617.\nAnswer: -1836\/2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j*j\/(j\/(j*j**(-9)*j))*j)*j*j*j**6*j*j*(j**(-1\/15)*j)\/j**(-2\/11) assuming j is positive.\nAnswer: j**(2824\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 11) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/((10\/(-5))\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-12)*(-240)\/4500*-20?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 744.216654 rounded to the nearest 10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9633049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {z: 2, p: 1, w: 2, m: 5, s: 4, q: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of 269*o**5\/20 + o**4\/4 - 7*o**3\/6 + 11*o**2\/2 + 72*o. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of -2*h**5\/5 - h**4\/4 + h**3 + h**2\/2 - h - 9. Factor u(s).\nAnswer: -(s - 1)*(s + 1)**2*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 509*m - 160. Let k(r) = -170*r + 61. Calculate -8*k(t) - 3*z(t).\nAnswer: -167*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1006*w + 1328 + 684 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -9*c**2 + 3*c + 5. Let f = -11 - -7. Let k(n) = 8*n**2 - 2*n - 5. Let u(s) = f*k(s) - 3*l(s). Find the second derivative of u(d) wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-3) - (-5540)\/6. Let s be (-1 - 0)*3*-1. Suppose s*c - 6 - u = 0. What is c rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 19 = -5. Let o = b + -10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 1 = 2*n, n + 6*a - 2*a = -17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -431969, -863941, -1295913?\n\"Answer: -431972*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-88)\/(17\/(238\/(-70))*(-11)\/(165\/(-6))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1077375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -1846*f + 53515. What is l(29)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6176228.\nAnswer: 2, 631, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-4)*4\/2. What is the common denominator of (21\/27 + j)*4 and -2 - (-34)\/(-12) - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -203?\nAnswer: -40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -191, -203, -229, -275, -347, -451, -593?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + z = 100, 0*y + y - 3*z - 38 = 0. What is the smallest common multiple of (y + 2)\/(-2 - -4) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 901 - 10*s**2 + 8*s - 901 to d*s**2 + a*s + y and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5*(-7)\/((-140)\/(-8)). Suppose -g + 5 = -2*g - 4*k, 0 = -u*k - 4. Suppose -6 - 20 = -q + g*f, -f = -4*q + 60. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/6 - 3*c.\nAnswer: c*(c - 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 293*k + 47668. Give x(-117).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4 - 72*j**3 + 78*j**2 + 72*j - 75.\nAnswer: -3*(j - 1)**2*(j + 1)*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 21*z. Let g(r) be the third derivative of 2*r**2 - 1\/30*r**5 + 0*r**4 + 0 + 0*r + 0*r**3. Give g(x(b)).\nAnswer: -882*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15263*q + 86*q - 23854*q)*(0 + 0 - q**3).\nAnswer: 39031*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000023454456 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 21*w - 142. Let n be p(7). Suppose 2979 = n*d - 221. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 69*a. Let s(c) = 208*c. Let l = 21 + -34. Let q(k) = l*p(k) + 4*s(k). List the prime factors of q(-1).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010000010101111100 - -1111010?\nAnswer: -1010000010100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10015 is divided by 189?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -43*t**2 + 85*t**2 - 40*t**2 + 138*t as r*t**2 + d + k*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*u**4 + 6*u**2 - u**4 - 12*u**2 + 4 - 2*u + 21 + 4*u**2 to the form w*u + s + j*u**3 + h*u**2 + l*u**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 10:56 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.56 + 1.56. Let z = 0.09 - -0.21. Put v, 9, -5, z in increasing order.\nAnswer: -5, z, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-19)*2)\/1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3 - 2\/((-44)\/75) and 31\/(-4) - 4\/(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1*sqrt(13))**2 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 44 (base 8) to base 10\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/5)\/q)**18*((q*q\/q**1)\/q)\/q*q*q**3\/q assuming q is positive.\nAnswer: q**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 225\/15*(-2 + (1 - 0)). Let k be (-48)\/(-10) + 12\/g. What are the prime factors of (-1401)\/(-12) - 2*k\/(-32)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of ((-105)\/(-9) + -5)*(-9)\/(-6) and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19948162 and 24258?\nAnswer: 59844486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + 39 + 12 + -13?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -1042*s - 9096. What is the hundreds digit of y(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 299 times 0.6145?\nAnswer: 183.7355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 + 33. Sort 1, n, 5.\nAnswer: 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*h + 19*h + 2 = 4*l, 4*l = -h + 17. Which is the nearest to -3?  (a) h  (b) -3  (c) 0  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r. Let s(g) = -14*g - 11. Let m(p) = -16*p - 10. Let t(d) = -6*m(d) + 7*s(d). Give q(t(c)).\nAnswer: -2*c - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -289 - -538. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4097826.\nAnswer: 2, 3, 251, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b*b**(-25)\/b*b*b)))\/b**(-2\/5))**(11\/2) assuming b is positive.\nAnswer: b**(-1243\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1\/2, 44, -0.08, 2 in decreasing order.\nAnswer: 44, 5, 2, 1\/2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 315 and 25.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 12:03 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18160 is divided by 3624.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36710 (base 11) to base 2.\nAnswer: -1100111000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2417661?\nAnswer: 3, 151, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide (-230)\/(-35) + -7 - (118032\/(-28) - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 1:13 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, -0.129, 61, 0, -0.166, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2 + 13 = -4*v, -s + 4*v = -17. Suppose -2*n = -2*u + 2, 4*n - s = 3*u - 4. Solve 3*w + 1 = x - u, 3*x - 2*w + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -30  (c) -0.05  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 3) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence luy when three letters picked without replacement from {k: 5, l: 1, o: 3, u: 1, y: 2, j: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3\/7, -0.1, -2\/115, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -120389, -240785, -361181, -481577, -601973?\n\"Answer: -120396*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 + -37. Let o = l + 12. Let j = 34 + o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g + 27*g**2 + 8*g + 15 + 6*g. Let j(v) = 3 + 5*v**2 + 2*v**2 + 4*v + 1. Let k(n) = -15*j(n) + 4*t(n). Factor k(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1725085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 711.1 + -713.1. Which is the fifth biggest value?  (a) 1  (b) -3  (c) 3  (d) z  (e) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705678 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 39297, 78598, 117901, 157206, 196513?\n\"Answer: u**2 + 39298*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 - 21*b + 41 - 81.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -55 - -78. Let h = x - 18. Suppose 241 = 4*f - 3*v, -2*f + 4*v - 62 = -170. What is the least common multiple of h and f?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 16 = 4*t, -20*t - 2*v - 20 = -17*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/11 + 9542*t - 209916\/11 = 0 for t.\nAnswer: 2, 52479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 230 = 5*v, 1678734*v + 3*o = 1678736*v + 111 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s. Let x(w) be the third derivative of w**5\/30 + 4*w**2. Determine x(t(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qntntqcqmnqqtmq. What is prob of picking 3 t?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*j - 28 = -65*j. Let k be (-20)\/(-28) + (-3)\/7. What is the third smallest value in 4, j, -0.09, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -55*c**9\/168 - c**6\/60 + 5*c**5\/4 - 342*c**2 - 1. Find the third derivative of a(s) wrt s.\nAnswer: -19800*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 181292?\nAnswer: 2, 61, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**3 + 0*q**3 - 3*q**3 - q**2 + 0*q**2 + 1 to the form u*q + j*q**3 + l + o*q**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 14*g. Let d(f) = -13 + 13 - 693*f + 3*f**2 + 693*f. What is d(l(k))?\nAnswer: 588*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxbxxxxibooxxbxovn. What is prob of sequence bi?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 0, -3*b - 3*h - 36 = -6*b. Suppose -23 = -5*t + b. Let k = -1 + t. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/28 - (-8508)\/(-14)) + 4. Let v be (h\/204 + 3)\/((-6)\/(-18)). Put v, -0.3, 3, 18\/5 in ascending order.\nAnswer: -0.3, v, 3, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1136*q - 1072*q + 704 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -264*a**2*h*s**2 + 2*a**2*s**2 + 8*a**2*s - 24*a**2 - 2*h*s**2 wrt h?\nAnswer: -264*a**2*s**2 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-8) + -1 - 5\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -0.09, 45, 4, 0.5, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3480, 5056, 6630, 8202, 9772, 11340, 12906?\nAnswer: 14470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -m, 2*j - 4*m = 7 + 37. Suppose -2*f - j = -66. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -41 - 2\/3*g**3 + 0*g**4 + 0*g**2 - 5\/6*g**6 + 2*g + 0*g**5. What is the third derivative of u(b) wrt b?\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*u + 322 + 1188 = 110 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4567.7 + -4762. Let g = -194 - i. Put g, 6, 5 in descending order.\nAnswer: 6, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from glixigillillllllgigl. What is prob of picking 1 i, 1 l, and 1 x?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**10*b))**(4\/5)\/(b\/(b\/b**(5\/7)*b)*b**29) assuming b is positive.\nAnswer: b**(-257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 6*j = -2*j + 36, 3*p = -5*j - 33 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/6 + 9652*w\/3 + 19306\/3.\nAnswer: -(w - 19306)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -33\/4  (b) 9  (c) -4  (d) 3  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 396 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 932*m - 934*m + 9 = 23, m = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1228590 is divided by 4935?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1061 + -4743?\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24)\/sqrt(2) - sqrt(12))*-4)\/(sqrt(726)*3 + sqrt(726) + sqrt(726)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 210*b**2 - 105*b**2 - 109*b**2 - b. Let x(o) = -5*o**2 - 27*o - 9. Let u(m) = -2*m**2 - 12*m - 4. Let d(q) = -9*u(q) + 4*x(q). What is d(c(f))?\nAnswer: -32*f**4 - 16*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) - (2*sqrt(76))**2 - (sqrt(133)*-1 + sqrt(133))\/sqrt(7).\nAnswer: -304 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 + 2. Let p(r) = r**3 + r**2 - 1. Calculate 10*p(k) + 5*q(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*g + 1 = -11, -3*m - g + 4 = 0. Let c = -9 + 10. Let p be (-1 - -1)\/(c + 1). Solve 3*r + m*r - 6 = p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 3. Suppose 5*i - 20 = -0*i. Suppose -i*q = b - 10, -n*q = q. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*(2\/(-5) + 52\/(-20)). Is 7 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2772*l + 607*l - 225285 = -6071*l - 763935 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120333213 (base 4) to base 5.\nAnswer: -11234000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from blvlvcblvvcvivzvvvcz. What is prob of sequence vzlb?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-4) + 124\/16. Suppose -12*g + v*g - 5 = 0. Is (-420)\/(-8) + g\/2 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(108) + -2) + sqrt(108))**2 + 1 + -4.\nAnswer: -720*sqrt(3) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 5*(2 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -z**4\/2 - 13*z**3\/3 + 7*z**2\/2 + 7*z - 9. Let o be x(-6). What is o rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51, 95, 175, 297, 467, 691?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - p - 4 = m, 0 = -3*m + 4*p - 11. Suppose -7 = -m*v - 5*n + 28, -v - 4*n + 14 = 0. Suppose 3*a = v + 20. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5569*a**3 + 5559*a**3 - 11119*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g**2 + 47*g - 79. Let w(d) = d**2 - 23*d + 40. Let v(m) = -5*w(m) - 2*x(m). Let r be v(2). Solve 0 = -2*q - h + 8, -q - 3*h + r = h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1171577 or -1171772?\nAnswer: -1171772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 171348 + 156702 + i - 313437 to the form h*i + g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 15  (b) 5  (c) -662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(847) + -2)*4)**2.\nAnswer: 704*sqrt(7) + 13616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-186)\/(-14) - 8\/28. Let n = -95 + 152. Suppose -i + n = 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 48, -1 in decreasing order.\nAnswer: 48, 20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -47125 + 47125 - 2*l + 3*l. Let b(d) = -4253*d. Determine c(b(q)).\nAnswer: -4253*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.071 take away -9.6?\nAnswer: 9.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 201\/2, 4\/5, -2\/25, 3\/4046?\nAnswer: 201\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*b = -131 + 33 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, o: 2, k: 10}. Give prob of picking 1 t and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 35806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 0 - (101 - 90)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.137 * -0.3\nAnswer: -0.0411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 PM and 3:33 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h - 41 = 69. Let g(b) = b**3 + 7*b**2 - 7*b - 12. Let v be g(-8). Let o be v\/h*(-1 + 0). Solve -23 = -l - 4*m + o, 3*l - 10 = m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 19*b**3 - 10*b**2 - 11*b + 119. List the prime factors of a(9).\nAnswer: 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -136\/53 + 5161\/1908. Calculate the common denominator of -49\/30 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(833)*3 + (sqrt(204)\/(sqrt(12)*-5))**2).\nAnswer: 51\/25 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 58198320*b**3*n*o + 2325*b**3 + 2*b**2*n*o + 12191*b**2*n wrt o?\nAnswer: 58198320*b**3*n + 2*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.056 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 5*g - 14, -g + d = -6*g + 9. Suppose 144 + 3166 = 2*v + g*m, 0 = -4*m - 8. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -1\/9, 8, 1, 15, 32, -2\/3?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 108 and 41?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = d + 3*a, -3*a = -5*d + 22 - 5. Suppose -5*c + 137 = f - 87, d*c + 5*f - 175 = 0. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 935.2555m to micrometers.\nAnswer: 935255500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c + 7. Suppose -2*m - 4*m = 90. Let s = -21 - m. Determine v(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-360)\/16*3*(-72)\/(-5). Let h = f - -1604. Is 56 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8912492?\nAnswer: 2, 2228123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 7*d**2 - 4*d + 3. Let y(t) = -t**2 - t - 1. Let v(o) = -p(o) + 2*y(o). Suppose 0 + 3 = 3*m. Let k be (-27)\/(-6) - m\/(-2). What is v(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + 7*f + 4. Suppose 27*g - 23*g - 12 = 0. Suppose 4*w + 4 = 0, 0*x + 5*w + g = -x. Calculate the lowest common multiple of n(6) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**3 - 20423*y + 20423*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1020 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) 0.2  (c) 2.19  (d) -2\/101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzuooxuuouuu. Give prob of sequence ux.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**3 - 4*c**3 - 249070*c**2 + 249045*c**2.\nAnswer: -7*c**3 - 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 4*j**3 + 2064*j**2 + 26204*j + 24144 = 0.\nAnswer: -503, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.799161mg in tonnes?\nAnswer: 0.000000005799161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 7 = -0*h - b, -5*h + 4*b = 35. Let t = h + 10. Suppose -t*i = -8*i. Solve -v - 4 = -i*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -611?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4054618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/112 and 137\/924.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 divided by -4?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/2*(1160\/192 - 6) and -101\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4208182 a multiple of 1357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 333256*y - 3465 = 333355*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**3 - z**3 - 2*z**3 + 3*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from nbbstttttntbbybttbtt.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3 - 287*y**2 - 15815*y - 72025.\nAnswer: -(y + 5)*(y + 67)*(y + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 12194737, 12194691, 12194647, 12194605, 12194565, 12194527, 12194491?\n\"Answer: m**2 - 49*m + 12194785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1796169341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254*d = 243*d. Solve -7*k + 8 - 29 = d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000000774 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -85413 >= -85413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/202 greater than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 249 = -5*k - 101. Let a = k + 139. Suppose 0 = -2*r + r + a. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 84, 103, 98 in descending order.\nAnswer: 103, 98, 84, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**5\/60 + z**4\/12 + 121*z**2 + 2*z. Let w(a) = 5*a - 3*a**2 + 2*a**2 - 4*a. Give 5*r(b) - 10*w(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29056095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 1912630 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 160853465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a50 - 15?\nAnswer: -a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 10*s - 12*s**2 - 22 - 11*s**2 + 2 + 24*s**2. Let z be ((-174)\/145)\/(2\/20). Calculate the least common multiple of 18 and g(z).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of -l**5 + 7*l**3\/3 - 10*l + 50. What is the first derivative of h(d) wrt d?\nAnswer: -20*d**3 + 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 17986, 17981, 17976?\n\"Answer: -5*r + 17991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -4*y + 77240, -2*g + 6*g = -2*y + 38594. Let j = -926711\/48 + y. Find the common denominator of j and -11\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/1542 and -25\/8.\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 216\/18*2\/(-32)*-4*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 6 = l. Suppose 75 = -l*x - 45. What is the common denominator of 29\/6 and (-102)\/x + (-10)\/25?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14149\/72 - -1682\/9. Let o = 728\/71 - 9839\/1562. Calculate the common denominator of o and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1541923*g*u**5 - 41*g*u**2 - 1849*u**2 wrt u.\nAnswer: 92515380*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8039987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1 minus 0.279163?\nAnswer: -1.379163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -118 - 126 - 81*q**2 + 260 in the form g*q + c*q**2 + t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2449751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4*b + 49. Let r be m(12). Suppose -7*q - r = -5*q - f, 5*f - 5 = -2*q. Solve q = -3*p - 5 - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 9:14 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000048991 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1184406.1 - 0.01899067.\nAnswer: -1184406.11899067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6906.\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1128790.\nAnswer: 2, 5, 13, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h - 4. Let p be (-2)\/(((-8)\/(-4))\/(-8)). Let k be z(p). Suppose -4*w - o + k = 0, 0*o = -2*o - 8. Solve -3*b = -w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16333229?\nAnswer: 11, 107, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51018149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 642793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 178341.9 litres to millilitres.\nAnswer: 178341900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i - 1. Let c be f(1). List the prime factors of 1*-23*c\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -h**4\/12 - 15*h**3\/2 + h**2 + 3. Let v be g(-23). Solve 6 - v = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -10*m**2 + 98*m + 8. Calculate the smallest common multiple of 590 and t(6).\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/9*3 + 112. Suppose -2*m = 3*m + u. Find the common denominator of 0 + 2 + m\/(-6) and -22\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*j + 2 = 0. Suppose 2*l = -j*l + 100. Are l and 25 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u*u\/u**(2\/7))))**(-6\/5)*u**(-2\/27)\/(u\/(u\/(u*u**38))) assuming u is positive.\nAnswer: u**(-38869\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 4*a - 12 = 0. Let y = a + 20. Let o(w) = -w**3 + 7*w**2 + 10*w - 9. What are the prime factors of o(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111101110 + -110?\nAnswer: 100111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m + 2*m + 3*m - m + 2*m + 0*m + (-4 + 2*m + 4)*(2 - 7 + 3) + (-6*m + 4*m + 4*m)*(-4 - 1 + 2) - 4*m - m + 4*m + (-5*m - 6 + 6)*(9 - 16 - 12).\nAnswer: 87*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 7*b**2 - 4. Determine u(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -341110 (base 5) to base 3\nAnswer: -121111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of 11*z**4\/2 + z**3\/6 + 11*z**2\/2 + 15*z. Is k(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112000 rounded to the nearest 1000?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-93736.\nAnswer: -18747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of p**4\/24 + 17*p**3\/6 + 2*p**2. Let i be l(-13). List the prime factors of (-100)\/(-45) - i\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 410*r + 409*r - 2 = 0, -3*r + 13 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 + 1206*q + 363609.\nAnswer: (q + 603)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1937*f**3 - 173*f - 150*f - 174*f + 499*f in the form d*f**2 + k*f + l*f**3 + g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -65 - -68. Let b be -24*(-1 - k\/(-6)). Solve -4*n = -4 + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 474 - 300. What is the common denominator of 1 + 1 + j\/(-54) and -59\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 671492.9 micrograms to nanograms.\nAnswer: 671492900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.119 * -299.\nAnswer: -35.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 2945*f**2 + 20562*f - 10. Give r(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 73*a - 24*a - 27*a + a**2 - 23*a + 1. Let g(k) = 0 - 2*k**3 + 7*k + 3*k**2 - 11*k + 5 + 0*k**3. Determine g(i) - 3*n(i).\nAnswer: -2*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -4593*u - 12380. What is i(-3)?\nAnswer: 1399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 604138 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33 + 346 + 622)*(3*p - p - p)*(-3 - 2 + 4 + (-3 + 1 + 3)*(-1 - 4 + 4) - 2 + 2 - 2 + 0 + 2 + 0)*(2 - 7 + 2).\nAnswer: 6006*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -25387484 divided by 6\nAnswer: -12693742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 0*n + 0*n**3 + 2*n**2 - 4\/5*n**5 + 0*n**4 - 11. Find the second derivative of b(p) wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 149, 276, 401, 524, 645?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1621 - -1631. Solve h = 2*k - 0*k - d, -5*k + 22 = -h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + 7*m**2 - 10*m + 7. Let z be k(-8). Let s = 44 - z. Let h = s + -12. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7788673 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.553 times 2?\nAnswer: -1.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 712 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2\/7 - 1268608*i\/7 + 10147072.\nAnswer: 4*(i - 317096)*(i - 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 193.3191 months to decades.\nAnswer: 1.6109925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3465*t - 3465*t - 3*t**2 - t**3. Suppose 0 = -5*r - 4*i + 5, -4*i = 4*r - 9*i + 37. Let y be z(r). Solve 0*n = n + 2*u + 3, y = -5*n - u - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1235\/26 - (1677\/(-39))\/(-86).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -1\/5, 2\/3, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 3. Let z be t\/(-10)*15*5. Suppose 5*u + 2*b = z, -3*u = 4*b + 5 - 23. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21275 - (5 - 0 - (-5)\/((-30)\/18)).\nAnswer: 3, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -64  (c) -0.17  (d) 4  (e) -26  (f) -45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*j + 356 - 180 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 3*l - 20 - 20, l = 4. Let z = 16 + g. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1988, 4325, 7326, 11327, 16664, 23673, 32690, 44051?\nAnswer: 58092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**8\/112 - 281*o**5\/20 + 777*o**2. What is the third derivative of f(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -9*h. Let u(z) = -1070*z + 1070*z - 6*z**2. Calculate y(u(d)).\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 24 = 4*z, 0*z = 2*n + z - 6. Let s be (-2)\/(-24)*n*-3. Let r be 8\/10*(-10)\/s. Solve q + r*o = 3*o + 12, 5*o - 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k + 2. Let s be q(0). Let t be (-1)\/(2\/(-16)*s). Suppose 0 = -5*r + 20, 3*r - t = 3*u - r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 q when three letters picked without replacement from {q: 1, e: 1, r: 11}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-345)\/46*(27\/(-18) - 1\/2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.9 * -3109.8.\nAnswer: -2798.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 7 = -2*s + 4, 4*k + 25 = 3*s. Solve -2*h - s = 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -2.8. Let q = -4.11 + 0.11. Let u = -0.01 - -0.31. Which is the closest to -0.1?  (a) q  (b) p  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -1) + 6 - (-43 - -50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*(sqrt(720)*-6*3 + (6*1*sqrt(360))\/sqrt(8) + 5))**2.\nAnswer: -1980*sqrt(5) + 196045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1794750 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -9*l - 36 + 11, 682*m - 16 = 2*l + 687*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 8 + 3\/4*p**4 + 0*p - 3*p**2 + 0*p**3. Find the second derivative of v(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(315)\/(sqrt(576) - (sqrt(576)*5 + sqrt(576))))\/((sqrt(5) + 2*sqrt(5))*5*6).\nAnswer: -sqrt(7)\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8553195 + -1.\nAnswer: -8553196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 483 - 478. Solve -x*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 3*c - 127, -7*h - 10 = -2*h. Calculate the remainder when 223 is divided by c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -225*t**2 + 2*t. Let v(l) = 3*l**2 - 4*l**2 + 237*l + 232*l - 469*l. Calculate c(v(w)).\nAnswer: -225*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13147?\nAnswer: 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-3)*36*2. Suppose -a + 20 = -x, -2*a + x + 0*x + 42 = 0. Let g = u - a. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**3 - p**3 + 0*p**3 + (3*p**3 - 5*p**3 + 4*p**3)*(-2 + 1 - 4) + (2*p**2 + 7 - p**2 - 3*p**2)*(-3*p + 4*p + p).\nAnswer: -15*p**3 + 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3\/2  (b) 1  (c) -0.1  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -615 + 623. Solve 4*c + 4*k = -l, 2*k + 5 = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23844)\/1288 + (-2202)\/(-177261)\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of r**5\/60 + 7*r**4\/24 + 5*r**3\/3 - 17*r**2. Calculate the remainder when 14 is divided by x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 3*s = 33, -5*a + 17*s - 45*s - 5 + 16 + 28 = -22*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 379014\/(-63169)*((-4)\/(-9))\/(1\/(-12)*1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4788 = 4*t - 4*p, -t + 1127 + 95 = 4*p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 5 - 3 = 0. Let w(s) = 0 - s**r + 0*s - 6*s + 2. Suppose 0 = -5*c - 2*m - 25, 0 = -4*c + 5*m - 2*m - 20. What is w(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 711256 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 675 divided by 5\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/9  (b) 52  (c) -1  (d) -5.5  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 50*j**2 - 70*j - 1002. Determine v(-51).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u - 4. Suppose -w = -10 + 12. Let a(z) = 3 + 2 - 3 - 1. What is w*r(o) - 9*a(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 1:37 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 + 2*b**2 - 3*b**2)*(-7*b**3 - 19*b**3 + 12*b**3).\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, 118, 460, 948, 1588, 2386, 3348, 4480?\nAnswer: 5788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1217443287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/157 and 31\/145092.\nAnswer: 22779444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58787969*o**4 + 10638098*o**2 - 3*o?\nAnswer: 1410911256*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -166?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288)*2 - 5*sqrt(36)\/sqrt(2))\/(sqrt(729) + (sqrt(729) - -1*sqrt(729)*4) + sqrt(729)))**2.\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1511\/2 - 52133\/69. Let k be (2\/(-276))\/((-16)\/7012). Let i = c + k. What is the common denominator of 29\/8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 27 + 0 + 8 + -4. Let z(c) = -19*c + o*c - 15*c. Let j(m) = -7*m. Give z(j(x)).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 - 0.9. Let i = -2 + 3. Let t = 1843 + -7371\/4. Which is the nearest to t?  (a) p  (b) 4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1903.5 - 1904. What is the nearest to 0 in -4\/3, -0.03, i?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**4 + 5*n**4 - n**4)*(-21 + 24 - 15).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/2 greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/22 - (6 + (-501)\/33). Suppose 8*c - u*c - 15 = 0. Calculate the common denominator of ((-207)\/c)\/(-3) + 3\/15 and -53\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*b + 96*b - 18*b - 3*h = 471, -5*h = -5*b + 35 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 99, 109, -7, -309, -857, -1711, -2931?\nAnswer: -4577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11)*1 + 4 + (sqrt(11) - (sqrt(176) + sqrt(176)*3)).\nAnswer: -14*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -144 - -143.99999989. What is t rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41282*p**3 - 134577*p**2 wrt p?\nAnswer: -247692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24168 and 2508?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 3*q**4\/5 + 6849*q**3\/5 + 762939*q**2 - 21735945*q - 72037350 = 0?\nAnswer: -1155, -3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64\/3 - -21. Let v = -2.1 + -2.9. Let s be 45\/(-21) - -2 - 21\/147. Which is the closest to y?  (a) s  (b) v  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7925, 7919, 7909, 7895?\nAnswer: 7877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -n**6\/4 - n**5\/60 - 28*n**2. What is the third derivative of l(x) wrt x?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**4\/17 + 22*a**3\/17 - 54*a**2\/17 + 50*a\/17 - 16\/17 = 0. What is a?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**3 + 2909560*p**2 - 37824594*p + 34915032 = 0?\nAnswer: -1454793, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1688 - -1726. Let h = -34.97 - 0.03. Let a = h + x. What is the second biggest value in -4, 2\/25, a?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 4*k = 8. Let b be (7\/11 + -1)\/k. Let a = 0.38 + 0.62. What is the nearest to -1 in 4, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 6*g**3 - 2*g - 1. Let n(j) = -4*j**3 - 12*j**2 + 3*j - 1. Calculate n(m) + r(m).\nAnswer: 2*m**3 - 12*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times -9.4?\nAnswer: 122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1515 or -7\/25?\nAnswer: -1515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 26 - 6. Let f(c) = 2*c**2 + 5*c - r - c**2 + 0. Let b be f(-5). Sort -5, b, -2 in ascending order.\nAnswer: -5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 199, 465, 847, 1351, 1983, 2749, 3655?\nAnswer: 4707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*t + 7*t - 3*t**3)*(2*t + 2*t - 6*t) + (-3*t**2 - 3*t**2 + 4*t**2)*(-4*t**2 + 4*t**2 - t**2) - t**4 + 5*t**4 - 2*t**4 + 3*t**4 + t**2 - t**2.\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 7:38 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -935232123.1.\nAnswer: -935232127.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = -4*j - 5 - 28, 10 = -2*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/14 in 0.5, -3, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -91, -159, -273, -433, -639?\n\"Answer: -23*m**2 + m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10.82 - 6.82. Let o = -0.8 - -0.6. Let r = -0.1 + o. Which is greater: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*q - 186*q + 97*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + 26 - (2 - 2) - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 116257 divided by 6.\nAnswer: 116257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 2\/308501 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*i + 5600 = -24*i. Let k be i\/(-36) - 6\/(-27). Suppose -v - 225 - 229 = -5*t, -3*v = t - k. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w - 8*w - 567 = 0. Let r = 81 - w. Solve -2*o = 2*z + 8, -5 = -z - r*z + 2*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -5*w**3 - 9*w**2 + 9*w - 322. Is t(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6428 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, a: 10, z: 4}. Give prob of picking 2 a and 1 z.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126 and 7823970?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 12, 20, 28?\n\"Answer: 8*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (2 - -9)) + (-3 - -4) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -g*h*r - 2*g*o*r**2 + 4709*g*o - 4*h*r**2 + 2*h - 273*o*r**2 wrt g?\nAnswer: -h*r - 2*o*r**2 + 4709*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 8*o**2 - 13*o - 6. Let f(x) = 7*x**2 - 12*x - 5. Let a(j) = 5*d(j) - 6*f(j). What is the second derivative of a(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 476.9?\nAnswer: 476.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + -4 - (-15)\/1. Suppose 3 = -2*o + w. Suppose -185 = -o*b - 1. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202595 is divided by 504?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 563615 is divided by 342?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 304\/(-1710) - (-22)\/55?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010 - 110100?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 6*a**2 + 7*a - 2. Let w = -9 + 14. Let f be h(w). Suppose -2*k + 60 = 2*s + k, 0 = -2*k + 8. Calculate the highest common factor of f and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 202*i - 47*i + 127 + 126 - 362 + 130 as a*i + d and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + j - 1. Let q(l) = 2*l + 4. Let i(d) = -a(d) - q(d). Suppose 1 = -f + 4. Suppose o - 1 = -f. Give i(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**4 + h - h**3 + 2*h**5 - h**4 - 3*h**5 + 4*h**5 - 3*h**5 + 0*h**5 + 0*h**5 - h**5 + (-h**4 + 2*h**4 - 3*h**4)*(3*h - 5*h + 7*h).\nAnswer: -11*h**5 - h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 135.7227km?\nAnswer: 135722.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.9 + -2. Let p = 4 + -2. Let s be (-14)\/9 + 2 - (-350)\/(-504). Which is the fourth biggest value?  (a) r  (b) p  (c) -0.2  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.5  (b) -2  (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1578 + -1579. Let t = 17 - 16.5. Which is the biggest value?  (a) 0.42  (b) i  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1745 + -841. What are the prime factors of j?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -6*q - 1. Let j be p(1). Let n = j - -12. Calculate the remainder when n is divided by (-13)\/((-195)\/40) - (-1 + 1\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(-3)\/((-3)\/7). What is the common denominator of (-49)\/(-4)*(-3)\/h and -4 - (-9)\/((-486)\/(-30))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6752 = -3*q - 13*q. Calculate the remainder when q is divided by (107\/4)\/(30\/120).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5 + -20 + -7)\/(-2))\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-1)*(-1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-75 - 117 - 387 - 108 - 8)*(-2*c - 2*c + c) as g + a*c and give a.\nAnswer: 2085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32\/3*z - 26\/9*z**2 + 2\/9*z**3 + 0 = 0. Calculate z.\nAnswer: -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 423 and 49968.\nAnswer: 2348496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*a - 2*g - 56 = -9, -2*a - 154*g = -153*g - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u**2 + 2*u - 3. Let n be v(2). Let b = 40 - n. Suppose 9108 = -59*d + 190*d + 67*d. Calculate the greatest common divisor of d and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 704717 in -42\/11, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2637*k**4 - 4*k**3 - 13893*k**2 wrt k.\nAnswer: -63288*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 62119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, f: 4, n: 2}. Give prob of sequence fnf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that y**3\/3 + 9667*y**2\/3 + 38656*y\/3 + 12884 = 0.\nAnswer: -9663, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, -31, -98, -211, -382, -623, -946, -1363?\nAnswer: -1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u*u**(-6))\/(u\/u**(3\/5)))\/(u**(2\/3))**(3\/20))\/((u**(-1))**(-1\/8)*(u**(-6)*u)\/u*u**(-2\/25)) assuming u is positive.\nAnswer: u**(291\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 3*t**7\/7 + 2*t**4 - 20*t**3\/3 - 2. What is the third derivative of k(c) wrt c?\nAnswer: 360*c**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 54808483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 5 = 2. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2543242 and 754.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/4, -3, 404, -21?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 3*d**2 + d. Let h be w(3). Let n(k) = -5581*k + 156272. Let y be n(28). Solve -h*m - m = y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4693 - -8105. Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 12*c + 190. What is y(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -52\/45 + 14\/9. Let j = -235\/749 + 3\/107. What is the third biggest value in 2, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -943*o = -931*o - 379524. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/926 and 27.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0492*-0.171.\nAnswer: -0.0084132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-224)\/(-798))\/16)\/(1\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z - z + 3*v + 19, -5*v = 0. What is the derivative of -z*p**2 - 16*p**2 - 37 - 15 wrt p?\nAnswer: -70*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 2*v - 3*v + 5, 0 = -5*f. Solve u = -2*x - 5, 0 = -x + v*u + 20 + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 578313 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20189 - -20139.4574. Let n = d + -0.0574. Let k = n - -49.599687. What is k rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-28)\/42*2\/(-10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 12*q + 30. Let v be t(-9). Suppose k - 101 - 9 = -2*f, 3*f - 168 = -v*k. Let u = -51 + f. Solve -g + 2 + 4 = u*l, l = g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 213963391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 32*s - 183. Give v(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -229 + 3*a + 229 - 6*a**3 + 3*a**5.\nAnswer: 3*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**5 + o**4 - o**3 - o**2. Let i(u) = 5*u**5 + 10*u**4 + 11*u**3 - 10*u**2 - 12*u. Let c(g) = i(g) + 2*y(g). Factor c(b).\nAnswer: 3*b*(b - 1)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -y + 3044, -229*b - 4 = -227*b. List the prime factors of y.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*o - 5*o - 3750. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*p - 29*p = 161. Let c(n) be the second derivative of 0 - 6*n + 0*n**4 + 2\/105*n**6 + 1\/70*n**5 + 0*n**3 + 1\/147*n**p + 0*n**2. Factor c(s).\nAnswer: 2*s**3*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 152 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-3)*27\/(-6). Let a be (-4)\/(-18) + (-129)\/(-27). Suppose p + 28 = k*t, a*p = 3*t - t - 36. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - h + 1. Let o = -30 + 24. Let r(l) = -24*l**4 - 2*l**3 - 6*l**2 + 6*l - 31. Let i(k) = o*w(k) - r(k). Find the first derivative of i(b) wrt b.\nAnswer: 96*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 2:10 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23464552*j**3*r**3 - 134*j**3*r + 17*j**3 + 6*j*r**2 - 3*j wrt r.\nAnswer: 140787312*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 10, n: 5, u: 2, x: 3}. Give prob of picking 1 c and 3 x.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 3329901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*c + 3*g + 15, 2*g = -5*c + 9. What is the nearest to 0 in -1\/5, -2\/3, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 105\/184 and 101\/34.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 46 + 13*y - 25 - 24 as i*y + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.059 and -0.5?\nAnswer: -0.0295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fpf when three letters picked without replacement from ppyyffyfpfffpfff.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -36\/212678041 and 71\/68.\nAnswer: 850712164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -y + 2. Let j(o) = o**2 + 3*o - 6. Let u be j(y). Solve c + u = -4*x, c + 7 = -x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 5*q. Let g be r(-5). Suppose -4*n + g*n - 48 = -2*l, 0 = 3*l - 3*n - 63. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5*q + 6 = 0. Let r be q\/(-4)*2\/3. Let s = 7 - 5. Which is the closest to r?  (a) s  (b) -0.1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*z + 88. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(132\/234))\/((-106 + 107)*(-6)\/(-4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 + 52 = 2*w. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -567\/4925?\nAnswer: -567\/4925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 - 0.2. Let n = -1 - -0.6. Let j = o + n. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.7647 + 25.8?\nAnswer: 27.5647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 848176923 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 122 + -86. Let i = -35.6 + f. Let p = 0.144 + -0.044. What is the third smallest value in i, 0.2, -19, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24928 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.0448 + -2562.7552. Round f to the nearest 10.\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176\/(-220) - 43394\/(-5).\nAnswer: 2, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3274162*o**3 - 64*o - 1920 wrt o.\nAnswer: -19644972*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 29.7567 weeks?\nAnswer: 17996852160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 76*z**2 - 150*z + 4. Give b(-78).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/6*-3 + 9 + (-18 - -9). Solve 7 = -0*d - d - z*s, 2 = -s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3143 (base 7) in base 15?\nAnswer: -4de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1307 = -303*h - 1694 - 2037. Let g(w) = -4*w - 2. Let s(z) = 3 + 9*z + 3 + 2*z. Determine h*g(p) - 3*s(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13051432 and 743864?\nAnswer: 143565752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2*1)\/((-4)\/6). Let c = -584 + 589. Suppose -3600 = c*y - d*y. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4828 = -325*b + 10172 + 12950 for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2 + 4*z - 12. Let v be s(-5). Suppose -19*h + 30 = -v*h. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 16*k**2. Let d(j) = -j + 1. Suppose -4*w + 16 + 9 = 5*m, 2*w = -m + 11. Let v(x) = 5*x - 4. Let h(u) = m*v(u) + 4*d(u). Calculate r(h(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -850 + 876. Let u = -15 - -78. Let w = u - q. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence haaa when four letters picked without replacement from kahkaak.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 24*h**2 - 7396*h + 7395. What is w(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3*i - 96 = 0. Calculate the common denominator of (-94)\/150 - 32\/i and 55\/4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 times -1699642?\nAnswer: 78183532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7940000 rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 822 + -902.1. Let a = 80 + f. What is the closest to -0.08 in -1, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/33 - (-1)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -4*v**3 + 7208*v**2 - 14404*v + 7200 = 0?\nAnswer: 1, 1800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-51) - 1355084\/56508.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h**0)**(2\/47) assuming h is positive.\nAnswer: h**(1\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 586419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/136 + 200\/34. Is ((-111)\/m)\/((-2)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 6) + 15 + (1735\/(-115) - -7).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-399342)\/4584900 - (-2)\/25 and -15\/8?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**3 - 12*z**2 - 7*z + 1. Let b(n) = -n**3 - 6*n**2 - 4*n. Let s(j) = -5*b(j) + 2*f(j). Let x be s(-5). Put -5, x, -6, 0 in increasing order.\nAnswer: -6, -5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 k when four letters picked without replacement from kkpkpppttqqiiqip?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 + 22*q**2 + 97*q + 7. Let i be f(-6). Solve 0 = 13*l - 40 + i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/15*(-6)\/84*-7\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 75579\/5 equal to 15117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2790684662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46786891?\nAnswer: 46786891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 396972, 1587908, 3572806, 6351666, 9924488, 14291272?\nAnswer: 19452018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 2. Let o be (-6 - -1)\/((-10)\/m). Solve 5*v + 4*u - 1 = 0, -4*v + 3 = -o*u - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -18. Let j be (124\/(-5))\/((-2)\/15). Let y = j - 109. What is the greatest common divisor of y and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**2 + x - 2*x + 20*x.\nAnswer: 4*x**2 + 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -31113032102?\nAnswer: -31113032111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (87 - 87 - 119*n**2)*(-5*n + 5*n - 2*n).\nAnswer: 238*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3923719.\nAnswer: 17, 230807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggwwgwwwwwggggwwgwwg. What is prob of picking 2 w?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 17 - 16 = 0. Let w be (-1)\/(x*(0 - 1\/(-4))). Suppose -q = -5*b - 37, w*q + 2 - 25 = -5*b. Calculate the least common multiple of q and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 5:37 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*j + 37 = 4 - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x + 36*x**2 - 36*x**2 + x**3 - x**4 + 2*x to the form y*x**3 + z + h*x**2 + d*x + k*x**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -222 and -218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((32 - (17 + 23))\/8)\/(7\/15)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24 + 13 - 9)*(-22*r + 0*r - 4*r)*(2 + 3 - 2 + (4 - 2 - 3)*(-3 + 2 - 1)) to s + h*r and give h.\nAnswer: 2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (5 + -4 - 6) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-3 + 4 - (-3 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 4*g**2 - 9*g + 19. Let h(i) be the third derivative of i**5\/30 - i**4\/6 + 3*i**3\/2 + i**2 + 1. Determine 9*h(w) - 4*q(w).\nAnswer: 2*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*a**3*l*x**3 - 97*a**3*l*x + 2*a**3*x**3 - 8*a**2*l*x**3 - 6*a**2*l*x + 2*a*l*x**3 wrt a.\nAnswer: -12*l*x**3 - 582*l*x + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44 and 44396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbgbbfbbbgbb. Give prob of sequence ff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-22) + (-54735)\/(-2255)*1\/42.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 14*j**2. Let i be l(2). Suppose 2*d - i + 0 = 4*f, -f = 2*d - 66. What is the greatest common factor of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n*(n\/((n\/n**(-1\/4))\/n*n*n*n))\/n)\/(n\/(n\/(n*n**7))*n))\/(n**4\/(n*(n**(2\/17)\/n)\/n)))**(-50))**48 assuming n is positive.\nAnswer: n**(658200\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-62 + 27 - 49)*(2*m**2 - 3*m**2 + 2*m**2) to l + s*m**2 + q*m and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4865 and -150.4.\nAnswer: -149.9135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**2. Suppose -3*h + 1 = -2*h. Suppose -q + h = -1. Let x(w) = -3*w**2 - 6*w**2 + 4*w**2 + 2*w**q. Calculate x(f(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 1042 divide 249660074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 2:03 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.01 + -0.01. Let y = -10\/207 - -247\/828. Which is the closest to y?  (a) l  (b) -0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-20)\/6)\/((-1)\/114). Suppose 15*j - 285 + 85 = 5*j. What is the highest common divisor of g and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/8?  (a) 5  (b) 2\/19  (c) -1  (d) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/(-2) - -3)\/((-9)\/45). What is the closest to 0 in 0.5, j, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -0.396.\nAnswer: 0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22188939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 4136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 4*i**2 - 6*i + 7. Let s be q(5). Let o(h) = 9*h**3 - s - 1 + 2 + h. Is 3 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2499807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4701*q + 1519. List the prime factors of o(4).\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + 1. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46.5 - -50.5. What is the smallest value in 22, v, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1441*n**3 + 439 + 44 - 550*n**3 + 1868 wrt n.\nAnswer: -5973*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 3*u - 7. Let q be i(5). Suppose 20*d - 19*d = 3. Suppose 4 = -2*j + d*j. Solve -8*a + j*a = -q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 725, 365, -44 in ascending order.\nAnswer: -44, -1, 365, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3*5872761\/174 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49178?\nAnswer: 2, 67, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3157333 to three dps.\nAnswer: 0.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/2  (b) -123  (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18179.175 hours to weeks.\nAnswer: 108.209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 101665 (base 7) to base 3\nAnswer: 212222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 286 and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 AM and 9:44 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5911476 less than -0.0301?\nAnswer: 2.5610476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.7 - 16.7. Let f = y - -12. Which is the closest to f?  (a) -4\/9  (b) 2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 13*s**2 - 14*s + 7. What are the prime factors of u(-13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 98 = 3*b, 3*k - 2*k + 2*b = 21. Solve -y + k = 4*d, 2*d + y = -3*d + 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5950648*c**2 - 5950648*c**2 + 1 + 49*c**3 - 2*c to the form p + v*c**2 + d*c**3 + z*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -298*o**2 + 2677*o + 98. Calculate r(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2452 to 3 dps.\nAnswer: 0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 6)*(0*z - 7*z + 3*z) to b + a*z and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.4 - 2. Let r = 0.6 + d. Let x = -2822.5 - -2823. Which is the smallest value?  (a) x  (b) r  (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 + 11*r + 5. Let k be j(-11). Suppose k*v = 16 + 309. Suppose 16 + 69 = 5*s. What is the remainder when v is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4213, 3231, 1593, -701?\n\"Answer: -328*o**2 + 2*o + 4539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, f: 2, l: 2, p: 1, w: 1, r: 1}. What is prob of picking 2 l and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4185 + -4186. Let a = -28 - -28.4. Let g be (-1 - 20\/6)*-3. What is the third biggest value in a, 3\/5, g, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -138, -318.2, -39, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 40 = -15*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + sqrt(133)*2*-1)\/(sqrt(70)\/sqrt(10)*6).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -107335, -107332, -107327, -107320, -107311, -107300, -107287?\n\"Answer: i**2 - 107336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 10:48 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 182*q. Let g(n) = -13*n**2 - 12*n + 6. Let c(b) = -28*b**2 - 26*b + 13. Let d(r) = -6*c(r) + 13*g(r). What is d(k(h))?\nAnswer: -h**4 - 364*h**3 - 33124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -9 - (130 - (14 + -27 + (14 - 5)))\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b + 6*b**2 - 5*b**2 + b**2)*(1 - 3 + 3)*(-b**2 + 2*b**2 - 3*b**2).\nAnswer: -4*b**4 + 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 12:53 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 1100*m**2 - 453750*m + 0 - 2\/3*m**3 = 0.\nAnswer: 0, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1973 and -521.97?\nAnswer: -102.984681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -84304000 to the nearest one million.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -402*i - 1814*i + 714*i + 283*i.\nAnswer: -1219*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**3 + 154423*j**2\/2 + 19303*j = 0. What is j?\nAnswer: -1\/4, 0, 38606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -47, -40, -33, -26, -19, -12?\n\"Answer: 7*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - n + 5, 0 = -3*o - 4*n + 20 - 0. Let k be (-1)\/12 + (-3)\/12. Put k, -3\/8, -3, o in descending order.\nAnswer: o, k, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -166\/5 < -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -6. Suppose z + f = 3*z. Find the common denominator of 1*(z - 10\/(-4)) and -1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1.6  (b) 2\/5  (c) 1\/4  (d) -0.145  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 353 = -415*u + 402*u. Calculate the remainder when 219 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/7 in 43, -2\/133, -1\/3, -0.4?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*d**2*h**3 - 3*d**2*h + 48*d**2 + 20*d*h**3 wrt h.\nAnswer: -60*d**2*h + 120*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 104*f + 241*f + 163*f to the form m + y*f and give y.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 264 - 284. What is the tens digit of (-16)\/b + (-18)\/(-15)*911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n - 3*t - 32, -2*n - 11 = 4*t + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 520010 + -324?\nAnswer: 519686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q**2 - 25 + 5 - 7*q + 8 + 12. Suppose t = 2*t + 5. Let s(r) = r + 0*r**2 + 2*r + 2*r**2. What is t*s(k) - 2*m(k)?\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22953*q - 11476*q - 623 - 3*q**2 - 11475*q to the form v*q + r*q**2 + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n + 5. Let m(i) = i**2 - 4*i + 5. Let k be m(4). Let t(y) = -2*y - 10 + 6 - k. Let q be (-8)\/10 + (-78)\/(-10)*1. Calculate q*p(g) + 4*t(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 149, 5, -4, 14, 4, -2 in increasing order.\nAnswer: -4, -2, 4, 5, 14, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b**2*q + 19*b**2*y + 23*b**2 - 114*b*q*y with respect to q.\nAnswer: -2*b**2 - 114*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/1*((-135)\/(-18))\/(-15). Which is the nearest to v?  (a) 7\/2  (b) -5\/2  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 7 + (-1 - 0) + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n - 2*n = -n + 89408. Which is smaller: -5587 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1760661 millilitres to litres.\nAnswer: 0.0001760661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 1) + 5 + 2 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -97534, -97385, -97236, -97087?\n\"Answer: 149*x - 97683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -7.07  (c) -4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 9. Suppose 4*z + 5 = 4*d + 3*z, w*z = -25. Solve d = -3*n + 4*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34252 + -4829461\/141. Find the common denominator of 137\/18 and t.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8288411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/63 + 2\/(-7). Let m = -22507 + 22507. Which is the third smallest value?  (a) 5  (b) m  (c) v  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4071, 392, -3287, -6966, -10645?\nAnswer: -14324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/2*48\/30. Let x = -19160 - -19159.6. Which is the third smallest value?  (a) -3  (b) x  (c) 29  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 66 + -94. What is the remainder when (-8)\/b + (-696)\/(-14) is divided by 40\/2 - (3 - -22 - 18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 4*p**2 - 164*p - 6. Let m be x(19). Which is smaller: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2530)\/4*(-22680)\/311850?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 461.98 - 467. Let v = -0.02 - w. What is the nearest to -0.1 in -5, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 362, 1579, 2802, 4037, 5290, 6567, 7874, 9217?\nAnswer: 10602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 140567769 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 542013 is divided by 5163.\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*l + 504 + 468. Solve l = -9*v - 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + s. Let d(y) = 23*y**3 - y**2 + y + 10. Let h(o) = -d(o) + j(o). Differentiate h(m) wrt m.\nAnswer: -69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 55.291999669 and -3.\nAnswer: 52.291999669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*t + 45 - 231 = 139 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 2*b - 3. Let p be g(2). Let l = 53 + -47. Let t = p + l. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 25 = 4*i - 62, 5*i = 4*h + 160. Let w be (2\/(-6))\/((-130)\/(-17745)*1\/(-4)). What is the highest common divisor of w and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1653014 is divided by 153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 522107703 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 27772 less than 117564.9?\nAnswer: 89792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56239102.\nAnswer: 2, 1447, 19433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.21 - 0.79. Which is the second smallest value?  (a) v  (b) -0.4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -38*g. Let w(z) = 20*z**2 + 30. Let k(s) = -3*s**2 - 4. Let h(n) = -15*k(n) - 2*w(n). What is q(h(b))?\nAnswer: -190*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dutw when four letters picked without replacement from {t: 1, u: 2, d: 3, o: 1, a: 1, w: 5}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 906 - 834. Suppose -3*j + u = -539, 3*j + u - 379 - 162 = 0. Calculate the greatest common factor of a and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1, -10, -21, -22, -1?\n\"Answer: 2*b**3 - 13*b**2 + 16*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 14*k**2 - 2 + 14*k**2 - 29*k**2. Let b(n) = -1. What is 3*b(t) - z(t)?\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 7*r**2 + 2*r + 1. Let o(b) = -5*b**2 - 3*b - 1. Let x(v) = -4*o(v) - 3*t(v). What is x(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 280 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**3 + 0 + t - 7 + 2 to k*t**3 + q*t**2 + f + x*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -261 - -261. Suppose 4*y - y = -3*d, -4*y = j. Solve d*c = -3*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 905009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g = -5 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 3*b**2 + 6*b - 4. Let z(u) = u**2 - u - 1. Let p(s) = -7*s**2 - 3*s + 7. Let v(g) = -p(g) - 3*z(g). Let r(d) = -5*c(d) + 4*v(d). Give r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*n + 3*n = -108. Solve n*d - 6*d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4.6, -0.2, -9?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -29901 in 0.2, 108, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 392, -105260 in ascending order.\nAnswer: -105260, 5, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 2\/15*i**2 + 0*i - 2\/5*i**3 = 0 for i.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -53194 less than -53195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xpwv when four letters picked without replacement from {v: 1, w: 1, q: 1, r: 1, p: 1, x: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4 + 2 + (sqrt(21)\/((sqrt(7) + -2*sqrt(7))*2) - (4 + sqrt(3) + 1 + sqrt(12) + -4)))**2.\nAnswer: -35*sqrt(3) + 259\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Is 88132 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -40*h - 104. Let o be b(-3). Solve -3*y = -0*y - 5*p - 5, o = 2*y + 3*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, s: 3}. Give prob of picking 1 s and 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 251520 and 6578034?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -92*d + 93*d - 20, -2*f = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2112220 + 133?\nAnswer: -2112032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -80, -3, 2 in descending order.\nAnswer: 2, -3, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 8:16 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.152*-0.02097182.\nAnswer: -0.00318771664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 + 11*m**2 - 6*m - 15. Let h be y(4). Put -1\/3, -4, h, -3\/7 in descending order.\nAnswer: h, -1\/3, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45397283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -23, -1, 35, 85?\n\"Answer: 7*z**2 + z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r - 4726*r**2 - 88*r + 87*r + 3937*r**2.\nAnswer: -789*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from xrttll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - 9 - (-19 + 15). Put 5, l, 6 in increasing order.\nAnswer: l, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-5 + 1)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9 - -13 - (0 + 0). Let x = 0 + t. Suppose 5*b + x*w - 40 = -w, -4*b = -w - 17. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*r**3 + 50*r**2 - 50*r**2 + (-r**2 + r**2 - 2*r**3)*(5 - 1 - 3) - 3*r**3 + 72 - 68 - 40 to s + t*r**2 + v*r**3 + i*r and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 g when three letters picked without replacement from ccckkyyggrmg.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2612 is divided by 237.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115066 + 40*v + 5*v - 230179 + 115117.\nAnswer: 45*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -210, -334?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 943 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 14, 139, -1 in ascending order.\nAnswer: -1, 6, 14, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 + 3*b - 3. Let u be s(-4). Sort 4\/7, 0.3, -0.1, u.\nAnswer: -0.1, 0.3, 4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 77450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -457 - 4?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -170052*h*n**2 - 5*h*n - 2*h + n**2 - 4858096 wrt n?\nAnswer: -340104*h*n - 5*h + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r + 25. Give j(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2468617?\nAnswer: 617, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 1315?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -92, -88, -82, -74, -64, -52, -38?\n\"Answer: o**2 + o - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -113*z - 1804. Give d(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 12:28 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1435476 to the power of 1\/2, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 895.825 grams to micrograms.\nAnswer: 895825000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -2*p. Suppose b - 2*h = -4*b + 148, p = b - 2*h - 28. What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of 14*r**3\/3 - r**2\/2 + 5. Let a be f(1). Let j = 21 + a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*w**2*x**3 - 4040*w**2 + 2*w*x + 8*x**3 + 20*x**2 + 26*x wrt w.\nAnswer: 4*w*x**3 - 8080*w + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 8*g**2 + 11*g - 16. Let l be y(9). Suppose -2*v - v = -l*k + 88, 0 = 3*k - 5*v - 131. What are the prime factors of k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -42 + 22. Let t = 23 + y. Suppose 68 + 117 = 2*b - t*a, -a + 85 = b. Calculate the greatest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, d: 8, a: 4, h: 2, y: 2, b: 3}. What is prob of picking 2 h and 2 b?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.25 - 2.35. What is the second biggest value in 6, -1, 2\/5, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 902\/3 + -838\/3. Find the common denominator of b and ((-41)\/(-28))\/(3\/(-12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 529\/3 + 8\/12. Suppose 0 = -3*t - 7*q + 2*q + w, -4*t = -2*q - 236. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18\/28)\/(3*(-2)\/(-7))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 16 - 26 = 2*s, -5*s = 8*u - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h. Let x be b(2). Let y(p) be the first derivative of -2*p**x - 2 + 1 + 3 + 3*p. Find the first derivative of y(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3207 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together 186862 and -4.\nAnswer: 186858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 166112 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**3 + 3550*q**2 + 3555*q = 0. Calculate q.\nAnswer: -1, 0, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 25648090 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-45)\/((-7695)\/18) - 55\/(-19). Find q, given that 64\/5 - 4*q**p - 112\/5*q - 112\/5*q**2 = 0.\nAnswer: -4, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47.08 - 0.08. Let k = w - 47.00000029. What is k rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**3 - 56 - o**4 - 19*o**2 - 4*o + 21*o**2 - 138 + 27 + 16 to the form b*o**4 + l*o**3 + j + f*o + p*o**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*x**5 + (-x + 40*x - 14*x)*(0*x**4 + 2*x**4 + 0*x**4).\nAnswer: 52*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c**2 + 5*c. Let a(b) = b**2 - b. Let k(p) = 5*a(p) + q(p). Let z(n) be the third derivative of -n**5\/30 - n**2. Determine k(z(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of 2 + 1\/10*f**5 - 2\/3*f**4 + 15\/2*f**2 + 16\/9*f**3 + 0*f. Let g(l) be the second derivative of p(l). Factor g(q).\nAnswer: 2*(3*q - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*-1 + (-3563)\/(-1). Let s = x - 32012\/9. Let f = s - 286\/63. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.40734 tonnes to nanograms.\nAnswer: 59407340000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z + 3. Let k be r(8). Let d be -1*(0 + (k - -1)). Let w = d - 17. What is the highest common divisor of w and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47969 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-25) + (0 - 23\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**19*o*o\/o**(1\/33) assuming o is positive.\nAnswer: o**(692\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 109715 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 6 = -c - c, -5*t = -4*c + 12. Suppose 4 = -2*m, 5*k + t*k - 39 = 2*m. Suppose k*f = 4*f + 24. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/23 in -5, 0.5, -1, 4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 8*h**2 + 37*h - 512. Calculate m(12).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 16, 0, 0.4, -17\/20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 9*t**2 + 7*t + 12. Let g be x(-8). Factor 5 + g*p - 6 + 5 + 9*p**2.\nAnswer: (p + 2)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 51\/12 + 4\/(-16). Suppose d = -f*d + 4435. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 741973971.\nAnswer: 3, 73, 911, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6 + -8 + 1*119. Let v = g + -459\/4. Is v < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -692, -1400, -2110, -2822, -3536, -4252, -4970?\nAnswer: -5690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 7*r - 30 = -5*a, 4*a = 2*r + 24. Suppose -a*j + 8 = -4. Solve -j = -l - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 - 10*v**2 + 11*v - 4. Let h(o) = -6*o**3 - 50*o**2 + 56*o - 20. Let x(k) = 11*c(k) - 2*h(k). Let d be x(9). Sort d, -1, 5 in increasing order.\nAnswer: d, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1154, -1205, -1256, -1307?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82534702979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -1. Suppose -5*z + 10*z - 25 = d. Let a = 7 - z. Solve a - 10 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/11)*q**(2\/25)*q**(-2)\/q**(-2)*(((q\/(q*q**(-4)))\/q)\/q)\/((q\/(q\/(q\/((q**(-1\/3)\/q)\/q)))*q*q)\/q)*(q**4*q)\/(q**(-1\/5)*q) assuming q is positive.\nAnswer: q**(1456\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 18*r**2 - 5. Let x(l) = 17*l**2 - 4. Give -5*p(g) + 6*x(g).\nAnswer: 12*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4*(-1*sqrt(330) - sqrt(330)))\/sqrt(6))\/(sqrt(1331)*2 + (-4*1*sqrt(11) - sqrt(11))))**2.\nAnswer: 320\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 74 - 373\/5. What is the second smallest value in -3\/4, 4, -2\/25, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.7 + 7.5. Which is the fourth smallest value?  (a) g  (b) -0.1  (c) 2\/7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 3*h**2 - 7*h + 5. Let r(f) = -8*f**2 + 20*f - 14. Suppose -2*m + 3*m = -4*a + 2, -m = 2*a + 2. Let b be (-32)\/m + 6\/(-18). Give b*r(k) + 14*w(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -40 + -11?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/(17\/4008) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*j - 6*j - 62*j - j**2.\nAnswer: -j**2 - 76*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2436 and 756.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.439795061 + -24988?\nAnswer: -24984.560204939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (265*l - 35*l**2 - 265*l)*(26*l - 60*l + 3 + 0*l) to b*l + j + k*l**3 + o*l**2 and give k.\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of s**3 + s**2\/2 + 2*s + 101. Let n(j) = -5*j**2 - j - 3. What is 8*b(l) + 5*n(l)?\nAnswer: -l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-31*f**2 - 59*f + 59*f)*(2 + 2 - 5 + (3 + 0 - 1)*(1 + 1 + 0) + 3 - 5 + 3 + 4 - 2 - 1 - 6 + 3 - 1) to the form m*f**2 + c*f + s and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 184717483 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46800 (base 11) to base 3.\nAnswer: -10102121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 61 and 7.3.\nAnswer: 445.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*v + 4. Suppose 0 = -v*s - s - 8. Let f be (-5)\/s + 1\/2. Solve y + 2 = -2*q, q + f - 2 = -4*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.8 and 129558.\nAnswer: 129558.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -42020 + 233003?\nAnswer: 140433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.07166 + 22853.3.\nAnswer: 22853.37166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/10*(-130)\/(-39). Let a be f\/(-4 + 0 + 3). Is a\/(0 + (-1)\/5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 53885 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5117*k + k**2 + 7 + 4975*k - 6 - 1 - 484*k**3 wrt k?\nAnswer: -2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - -15 - 11 - (-1 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 1, -1750, 3, -13 in increasing order.\nAnswer: -1750, -13, -10, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7237, 28789, 64719, 115027, 179713, 258777, 352219?\n\"Answer: 7189*i**2 - 15*i + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t + 12. Suppose 4*a + 59 = 4*m + m, -3*m = 2*a + 13. Give x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d**2 - 201218*d + 201218*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u**2 - u + u + (4*u**2 - u**2 - 2*u**2)*(1 - 5 + 2))*(-2*u**2 - 1 + 1) to s*u**4 + n*u**3 + d*u**2 + k + g*u and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n - 10. Let q be f(10). Solve 2*m - q = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15 and 3918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.96 + 0.04. Let k = u + -5. What is the third biggest value in k, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -462, -466, -472, -480, -490?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5383, -5366, -5349, -5332?\nAnswer: -5315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32112 - 642097\/20. Let m = r + -37\/5. Which is the second biggest value?  (a) m  (b) -0.1  (c) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0461228 - 0.2538862. Let h = 0 + -0.3. Let a = y - h. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -26 - (-57 - (79 - 191)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -1.3659.\nAnswer: -2.7318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*(sqrt(1300) + 3 + sqrt(1300) + -1 + sqrt(1300)) + sqrt(1300)*-2 + -2 + -4)**2 + 1.\nAnswer: 4000*sqrt(13) + 162821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o - 2 + 18*o**2 - 35*o**2 + 25*o**2 as n + x*o + m*o**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 2:22 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 8 + 0 + 3*r + 4 + 1 + 10*r**2. Suppose -4*w = -3*b + 15, -w + 2 = 4*b + b. Calculate the remainder when 17 is divided by z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.64288 + 311.33288. Let j = -312 + z. Round j to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-12))\/(3\/(-18)). What is the third derivative of 0*y**4 - 4*y**2 - y**4 + 0*y**h + 2*y**2 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 8:01 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3881 is divided by 1934?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.554364099 to two decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 97 + -95. Suppose 0*m + m - 162 = -d, -161 = -d - k*m. What is d rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -31*n**2. Let z = -24 + 26. Let l(x) = -346 - z*x + 346. Give s(l(k)).\nAnswer: -124*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13523 - 3771. List the prime factors of i.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (242*s**4 + 2246*s**4 - 40754 + 40754)*(-2 + 4 + 0).\nAnswer: 4976*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -7*t + 4. Let q be (3 - (-45)\/(-12))\/3. Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1454 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3666694174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 - (80\/30)\/(4\/90). Let z = 58 + p. Let c be ((-6)\/4)\/(3\/z). Solve 0 = j + j - c*l - 25, l + 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 + u**2 + 1. Let d be z(0). Let r be d*(2 - 0) + 2. Let v(l) = -2*l + 4. Let h be v(r). Is h less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(-5*o + 2*o + 4*o) - 2*o - 11*o - o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 626 + -692. Is (z\/4)\/((-84)\/4144) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w**2 - 3*w**2 + 3*w**3)*(38775*w - 4456 - 4465 - 4463 + 13384) in the form p*w**3 + v + y*w**4 + t*w**2 + m*w and give y.\nAnswer: 116325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -169495 (base 13) to base 16\nAnswer: -8981e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 6*t + 4*t + 0*t - 1 + 3*t. Let i be x(2). What is the units digit of 1560\/i*(-1 + (-26)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4054.\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -17894349 * 4\nAnswer: -71577396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-3 - (3 + -8 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17175281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 12:53 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 787505 and 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 5*v + 9 = 0. Let u = 20 - 13. Suppose -o + v = -u. Solve -5*b + o = 2*f, 6*f - 3 = 3*f + 3*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from kllkllklkll.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -133790006*a**5 + 362*a**2 + 26291*a wrt a.\nAnswer: -8027400360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1939997802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 1057.32 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*g = 5*j - 45, 3*g = -2*j - 3. Let u(x) = x**2 - x - 6. Does 11 divide u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u, -u + 228 = 2*q - 98. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2038168 rounded to three decimal places?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 11784 = -5*f, 3*f - f = z - 2959. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from {j: 2, z: 3, e: 1, p: 1, v: 1, q: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -3*r**2 - 534*r + 1080 = 0.\nAnswer: -180, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c - 9 = 5*u + 9*c, -12 = 4*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 19*o - 46. Does 52 divide z(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifteenth of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 11*k**2 - 11*k + 58. Let h be m(-12). Suppose h*y - 36*y = -7480000. What is y rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - o + 2*x + 12, -3*x - 13 = -5*o. Put -3, 3, o in decreasing order.\nAnswer: 3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or -436?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -313269*o + 313269*o + 679*o**2 + 2 to z + k*o**2 + r*o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 2*w + 4 = 0, -27 = -4*m - 5*w - 9. Let g be 42\/11 - 20\/(-110). Let f be (-16 + -8)*(-2)\/g. Solve -5*q + f = -m*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**3 + 22*m**2 - 61*m + 237. Let b be s(9). What is the greatest common factor of b and 15348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tlitttttllvztvillll. Give prob of picking 1 i and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 265 - -3?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*h = 260, -2*q + 4*q - 177 = -5*h. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202*i + 17*i - 114*i + 234*i.\nAnswer: 339*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c = 12*c - 5882 + 3847 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 1041*d**2 + d + 3. Suppose 0 = -5*o - 4*c - 6, o - c + 2*c + 2 = 0. Is y(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-301)\/(-35) + -9)*-3155. Round c to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of w**4\/12 - 7*w**3\/6 + 9*w**2\/2 - w. Let c be p(8). Suppose c - 109 = -4*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-2) - (-261448 + -1). Suppose b = c - 178553. Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of q**2 - 3*q + 2. Calculate the remainder when -18*(2 - (-10)\/(-4)) is divided by j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4022425 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 45*a. Let i(c) = 46*c. What is 5*i(l) - 4*n(l)?\nAnswer: 50*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 415 = 5*j, 5*f - 303 = -125*j + 121*j. Calculate the remainder when 10576 is divided by j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 11) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 5*g - 8. What is the units digit of v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*w = -5*w - 3552. Let y be (-74)\/w + (-117)\/(-4). Calculate the highest common divisor of y and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -3*r**3 - r**2 - 5*r + 2. Let o(x) = 2*x**3 + x**2 + 7*x - 2. Calculate 4*o(d) + 5*y(d).\nAnswer: -7*d**3 - d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -4*j, -2 - 2 = -4*s. Let r(l) = -18*l + 2. Is r(j) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3337.8 + 3338. Let i = 0.04 + -22.04. Let x = -27 - i. Which is the closest to 0?  (a) h  (b) x  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -15*u**2 + 3. Let g(l) = -2*l**3 + 202*l**2 + 6*l - 621. Let j be g(101). Let r(t) = 7*t**2 - 1. Calculate j*r(a) - 6*y(a).\nAnswer: -15*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3627832 or -145\/6?\nAnswer: 3627832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -3, 159?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 65\/1262 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -20. Let x = t + -74. Let d = -267\/4 - x. Which is the closest to 1?  (a) d  (b) 1\/5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of 2*w**6\/75 + 3*w**5\/25 - 13*w**4\/15 - 2*w**3 + 24*w + 4. Suppose u(n) = 0. What is n?\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*m**2*u - 5*m*q*u**2 - 2*m*q*u + m*u - 6*q*u**2 - 30*q wrt m?\nAnswer: 18*m*u - 5*q*u**2 - 2*q*u + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 + 21. Let l be (-459)\/o*6\/(-9). Suppose -3*y = -2*f + l + 13, 4*f - 124 = 5*y. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*a + 3387 = -f + 3712, 0 = 4*a + f + 32 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 7:10 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**5 - 2*q**4 - 2*q**3 + 4*q**2 + q - 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1327341298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 5*x + 5 - 0, -4*x - o - 7 = 0. Let m(q) = -115*q + 5. Is m(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -105.9 and -0.7?\nAnswer: 74.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 - -52. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6, -1, 4299, 0, 3.\nAnswer: -3, -1, 0, 3, 6, 4299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 607469 is divided by 101201?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2000221200121 (base 3) to base 13.\nAnswer: 2bb409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -8*k**2 + 16*k - 29. Let i(g) = 19*g**2 - 39*g + 73. Calculate 12*b(a) + 5*i(a).\nAnswer: -a**2 - 3*a + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -848*g - 500*g + 3876 = -23084 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 4556*y + 9330. What is d(-2)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 6*c**2 - 6*c + 1. Suppose -4*o - 6*o = -10. Let w(b) = -2 + 5*b + 2. Let a be w(o). Calculate u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 10:19 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 466 - 466. Suppose -18*m + 15*m + 2304 = s. What is the greatest common factor of m and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90687 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -2*z, 4 = 5*z + 4*n + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.86 + -0.26. Let f = l - 7.5927. What is f rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 5*f - 25. Let v be b(5). Suppose 3*x - 4*x + 92 = v. Suppose o + 3*m - 41 = x, -2*o + 263 = 5*m. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2278986 - -325\nAnswer: 2279311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/52)\/s)\/s*((s*(s*s\/(s**(-31)\/s))\/s)\/s)\/s)\/(s**(-1\/20)*s*s*s)**(-33) assuming s is positive.\nAnswer: s**(16553\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10372*j**3*q**2 + 3*j**3*q - j**3 - j**2*q**2 - 5*j**2*q - 5373*j**2 - 3*j*q**2 - j*q - q**2 + q wrt q.\nAnswer: -20744*j**3 - 2*j**2 - 6*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15872 greater than or equal to 11633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7031836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 645114867 divided by -1\nAnswer: -645114867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + (-12 - 30) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*s + 126*s - 5673 = 183*s - 66*s for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -o**4\/2 - 2*o**3\/3 - o**2\/2 - 7*o - 8699. Let d(b) = b**3 + 2*b**2 + b + 7. Calculate -4*d(q) - 3*g(q).\nAnswer: 2*q**3 - 2*q**2 - q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, v: 3, t: 8}. Give prob of sequence vt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 8 = 4*k, -5*i + 2*k + 6 = -4. Let t be 231\/15 + (-2)\/5. Let h = i + t. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*n + 16 - 27 - 351*n + 9 - 110*n.\nAnswer: -488*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/862260 and 93\/2874200.\nAnswer: 8622600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2845, 2838, 2839, 2860, 2913?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -55.266 take away -1916?\nAnswer: 1860.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(2\/5)*d*d*d**(3\/8)*d**(6\/5)\/((d*d**(5\/7))\/d))**(2\/53) assuming d is positive.\nAnswer: d**(1193\/7420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**3\/3 - 3*z**2 - z - 444. Let v(b) be the first derivative of b**2 - 7*b - 3. What is 4*v(j) - 5*x(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 301969536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -755, -993, -1383, -1919, -2595, -3405, -4343, -5403?\nAnswer: -6579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 49 + 13. Let i = 26 + p. Calculate the remainder when 22 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3456 - 3428. Which is greater: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 12 = -h + 3*r, 6 = h + 3*r. Let f be (-753)\/2 - (-3)\/h. What is the remainder when 6\/(-2)*f\/24 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.3149904 hours?\nAnswer: 1133965440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-55)\/(-20) - 1\/(-4). Suppose -2*m + u + 3 = 0. Let p(a) = -a - 2 - 9*a**2 + 0*a**3 + a**3 + m*a**2 + 7*a**2. What is p(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 8.95. Let o = -0.45 + h. Let j = o - -0.9. Sort -3, j, -0.01.\nAnswer: -3, -0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 3843 = -2861. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1018199, -1018186, -1018159, -1018112, -1018039, -1017934, -1017791?\n\"Answer: p**3 + p**2 + 3*p - 1018204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1265\/10*60\/1485*-18?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9285)\/(-2)*17*(-44)\/(-561) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -65 - -73. Suppose -755 + 115 = d*q. Let j = q - -88. Solve -j = 2*f, 3*c - 2*f + 4 = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72896.95 micrometers in centimeters?\nAnswer: 7.289695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 897 in -0.1, -1\/2, -2\/5, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 11*g + 154. Give j(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/((o*o**(-2\/51))\/o))\/o**(-20))\/(((o**(-20)*o)\/o)\/o*o)**(-33) assuming o is positive.\nAnswer: o**(-32536\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -200*h**2 - h + 1. Let o(v) = -10*v - 4. Determine o(q(s)).\nAnswer: 2000*s**2 + 10*s - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/s**(-3)*(s*s**(1\/7)\/s)\/s*s)**(12\/17)\/((s**(-2\/5)*s*s)\/(s*s**(-2)))**28 assuming s is positive.\nAnswer: s**(-41156\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**15*(w\/(w**(-3)*w))\/w*(w**3)**(1\/22))**46 assuming w is positive.\nAnswer: w**(-5497\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10.91 - -11. Let j = -2 - 0. Let l = 12.309 - 7.309. What is the third smallest value in z, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r**2 + 1209*r + 1206 = 0. Calculate r.\nAnswer: -402, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 68437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + y - 14 = 2*y, -48 = -3*l + y. Suppose -22*p = -l*p - 250. Calculate the highest common factor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74, -216, -430, -710, -1050, -1444, -1886, -2370?\nAnswer: -2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -7*z + 7. Let o = 2 - 8. Let p(r) = 13*r - 13. Let w(u) = o*p(u) - 11*h(u). Let q be (1 - 2) + -2 - 2. What is w(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 23 + -4443331?\nAnswer: -4443304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3 + 1620*u**2 + 48634*u + 261744.\nAnswer: 2*(u + 7)*(u + 24)*(u + 779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**20\/s*s*s)\/(s*s**(-23\/3)\/s))\/(s**(1\/23)\/(s\/(s\/((s*s**(11\/3))\/s)))) assuming s is positive.\nAnswer: s**(2366\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -3 - 15\/(-6)*2. Suppose -2*c + 3*l + 22 = 162, x*c = 5*l - 276. Let j = c + 67. Solve -j*u - 17 = 5*b, -24 = 7*b - 3*b + 5*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k + 5 - 4 - 6*k. Let p be y(-1). Suppose 20 = -5*x, x - 5 = -p*s - 0*x. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12295584659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 12:47 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 + -1ab61c?\nAnswer: -1ab633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 3\/11 and -11484702 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -579\/4 - -144. Let p = 1 + -0.5. Let s = 3.5 + p. Which is the closest to 2\/3?  (a) s  (b) -0.2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -26. Suppose -t = -y - 6. Is 2\/(-9) - ((-23098)\/y + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 0)*(-m**3 - m + m) - 133*m**3 + 66*m**3 + 68*m**3 + 4*m**2 - 1 to h*m**2 + s + q*m**3 + c*m and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/b**(-6)*b)\/(b\/(b*b**(-1\/9)\/b)*b))\/(b**(-4)*b*b**5)*(b**(-2\/5)*b**(2\/3)\/b)**(-5) assuming b is positive.\nAnswer: b**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 5*t - 5. Suppose -3*b - 2 = t. Let h(o) = 5*o**2 - 2*o - 2. Let m be h(b). What is the closest to 1\/2 in m, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1492)\/146)\/(5656\/3716). Let o = 2\/7373 - q. What is the common denominator of o and 113\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of a**4\/6 + a. Let c(w) = w + 5. Let m be c(-5). Let o(q) = m*q - 3*q + q. What is i(o(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 8:12 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 1:22 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 559 - 555. Calculate the least common multiple of 387 and g.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, j: 1, m: 4}. What is prob of picking 1 m and 2 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 100345 divided by 5?\nAnswer: 20069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8382\/703 > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2*u = -20, -11 = -y - 4*u + 8. Let z = -1885 - -1889. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77988 divided by 582?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 515.0972g to tonnes.\nAnswer: 0.0005150972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -9671343?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4490 + -4489. What is the third biggest value in 8, 0.3, w, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of 0*w + 2*w**2 - 3*w + 2 - 3*w**2 + 0*w**2. Let y(f) = -52 - f - 52 - 54 - 58 + 214. Determine -6*s(j) + 11*y(j).\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25c (base 14) to base 3.\nAnswer: 122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.124, 3, 6\/17, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 57 = -45. Let n(p) = -6*p**3 - 3*p**2 - p. Is n(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56 - 62. Sort m, 3, -4, 0.5 in descending order.\nAnswer: 3, 0.5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 7:31 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 56*h + 90. Let x(n) = 72*n - 185*n + 112*n. Give t(x(o)).\nAnswer: -56*o + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r**4 - 21*r - r**3 - 2*r**2 - 24*r + 43*r to the form o + j*r**4 + c*r**2 + w*r + a*r**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x**2 - 9*x. Let n(c) = -c**2. Calculate n(b(t)).\nAnswer: -9*t**4 - 54*t**3 - 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of r**4\/12 - r**3\/3 + r**2 + 4*r. Let o be d(2). What is the greatest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-16)*0)\/(-2). Let o = u + 38. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2*s**4\/9 - 46*s**3\/9 - 88*s**2\/3 - 440*s\/9 - 224\/9 = 0.\nAnswer: -2, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m**2 + 2264*m - 2263*m + m**3 + 0 - 2. Calculate x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 94621954 to the nearest integer?\nAnswer: 9727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 61*h**2 - 56140 + 56137 - 59*h**2. Let x(f) = -f. Let y(b) = -6*b**2 - 18*b. Let q(s) = 18*x(s) - y(s). Calculate a(q(g)).\nAnswer: 72*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*d - 7791 - 96159 = 0. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + 13 + 35 + -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -7*o**3 + 67*o**3 + 6 - 29*o**3 + 2*o - 15*o**3 - 6*o**2 - 15*o**3. Let s(q) = -3*q - 6. Let l be s(-4). Give j(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1344244155 + -5?\nAnswer: 1344244150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -252, -253, -254, -255, -256, -257?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7396 + 4762. Is 100 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/4, 5, 0.01, 1\/19, -13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7315*b*i**4 + 2266*b*i - b - 94*i**4 - 75*i**2 wrt i?\nAnswer: -175560*b*i - 2256*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30)\/sqrt(2) - sqrt(15))*-4 - sqrt(15))\/sqrt(3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 205417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-1)*-3*(-5)\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-119)\/(-14) + -3 - 6)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 16 = -3*y + 18, -2 = 4*o + y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5112 and 140580.\nAnswer: 281160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 12:30 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-6 + 5 + 9 + -5)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 3*r + 0 = 15, -2*h + 10 = -5*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4380, 15, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4 + -0.2. Let a = 59 + -54. Put a, d, 0 in decreasing order.\nAnswer: a, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 454.08 nanometers to meters.\nAnswer: 0.00000045408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000 + -110111?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 110*q**4 + 106*q**3 - 4*q**2.\nAnswer: 2*q**2*(q + 1)*(55*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 50*g + 209. Give a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 + 20.5. What is the closest to -1 in -4, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/595 and 69\/4760.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -104 - -172. Let v = 68.2 - m. Is v < -1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -297282 or -297281?\nAnswer: -297282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.483 + 0.289. Let n = -12 - -14.9. Let h = n - y. Round h to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 9  (b) 0  (c) -5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 2560446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101212110020 - 12?\nAnswer: 101212110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 25)*(-432)\/270?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9 - -12)*(-4)\/(-3). Let u be 7\/(-3 + (w - 0)). Let g(y) = y**3 + 5*y**2 - 6*y + 5. Let m be g(-6). Solve -m*z - u - 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4113744 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 218922.1498 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11638 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 3 = -0*r - 5*h, -5*r + h + 17 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7604625763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 11:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 m when four letters picked without replacement from vjnjjmtntmjntmj?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 27397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*g + 67 = 227. Suppose -5 = -3*d + b + 11, -5*d = -3*b - 24. Suppose 26 = r + d. Solve 4*x + g = 5*p + 3*x, 4*x = -r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3378256 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**(-4\/3))*g)\/(g**(-5)*g))**(-2\/7) assuming g is positive.\nAnswer: g**(-38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 4*f - 1. Let i be a(1). Let x = 23 + -21. Let n = 53 - 51. Solve n*v - 2*c + 2 = 10, x*v - 3 = -i*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 619 and -0.3?\nAnswer: -185.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 605959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1096 - 211. Let k = -612 - j. Does 45 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.404 - 3.3. Let n = 52.104 - y. Let z = n - 51.953. Round z to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from owwooit. Give prob of picking 1 o and 1 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 894 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4344 + -433324?\nAnswer: -443223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-150)*3)\/((-9)\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 6 - 2 - 7*d - 2. Let b be 12*((-10)\/4 + 2). Let y(l) = 13 + l - 18 + 5. Calculate b*y(t) - p(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 386, -7, -3, -5 in ascending order.\nAnswer: -7, -5, -3, 3, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/6 + -1)*(-33)\/(-22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**4*a)\/((a\/(a*a**(-4\/7)\/a))\/a)*(a**(-2\/7))**45 assuming a is positive.\nAnswer: a**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -80 + 76. Let q be (g\/6 + 1)\/(14\/252). Solve 5*d - 4 - q = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - -56?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 127477638?\nAnswer: -127477634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 1771.9.\nAnswer: -5315.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6852793 = -198*i + 325*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/8?  (a) -0.3  (b) -1  (c) 1  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(153)*1 + -4*(sqrt(153) - (sqrt(153) - (-1*sqrt(153) - sqrt(153)) - sqrt(153))) + sqrt(153))*-5)\/(sqrt(108)\/(sqrt(108)\/sqrt(9)) + sqrt(576)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 = -4*u - 43. Let m = 21 - -5. Suppose -400 = -28*n + m*n. Calculate the greatest common factor of n and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {g: 9, z: 6, n: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 265\/7161  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * -0.0123288.\nAnswer: -0.0739728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -7 - 5. Let g(a) be the first derivative of -a**4\/2 + a**3\/3 + 6. What is the least common multiple of g(-1) and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wsswxxqxwxxxqqx. Give prob of picking 1 w, 2 x, and 1 s.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8190289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of 0*p**2 + 0 + 1\/3*p**4 - 2*p**3 + p. Let n(t) = 0. What is t?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) 0.1  (b) 1\/2  (c) -3  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2462 or 2441?\nAnswer: 2441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37*o**2 + 62*o**2 + 67*o**2)*(5*o**2 + 10 - 10)*(-o + o + o).\nAnswer: 460*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 c when four letters picked without replacement from {q: 9, c: 1, j: 1, y: 2, f: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -265*k**2 + 136*k**2 + 225*k**2.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*j**2*k - 969192*j**2 + 3235*j*k - 6*j + 4*k wrt k.\nAnswer: -9*j**2 + 3235*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*d + 16, 5*d - 5*b - 14 = -b. Let a(q) = 7*q - 9. What is the units digit of a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 11:42 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 58d2b6 + 40?\nAnswer: 58d306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 330030100 rounded to the nearest 1000000?\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + -3 + (2 - 1). Let p(l) = l**3 - 2*l**2 + 2*l - 3. Let f be p(2). What is the first derivative of v + a - 4 + f wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54043 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1075 and 16.\nAnswer: -17200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1303 (base 7) to base 13\nAnswer: -2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93.38219ug to milligrams.\nAnswer: 0.09338219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*s + 4*o, -4*s - 12 = -o - 0*o. Let p = 11.2 - 10.9. What is the biggest value in s, p, -4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -17*x**3 + 579*x**2 - 2499*x + 145 = 0.\nAnswer: 1\/17, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7baa894 + 13?\nAnswer: 7baa8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 28*f. Let n(m) = -56*m - 49 - 39 - 55 - 20*m + 145. Determine l(n(y)).\nAnswer: -2128*y + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(165\/(-10)))\/(79352\/8393)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/((-90)\/(-320))*-18. Suppose 0*a - 48 = -2*a. What is the highest common factor of a and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48526 + 49506 = -49*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1239, -1158, -1077, -996, -915, -834?\n\"Answer: 81*r - 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbgb when four letters picked without replacement from {q: 4, b: 5, g: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 180572 = -5*p, 6*o - 144466 = -4*p + o. Suppose 8*l + p = 47*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -249.461 - -0.461. Let j = y - -249.0000095. Round j to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4256*h**3 - 4256*h**3 + 2 - 332*h**4 + 134*h wrt h?\nAnswer: -3984*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1057719 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of 58*r**5 + 4*r**3\/3 - 8*r - 212. What is the third derivative of s(y) wrt y?\nAnswer: 6960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 6*f - 2 + 1 + 2*f**2 + 0*f**2 - f**3. Let s = -291 - -296. Suppose -s*k = -19*k + 56. Calculate l(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53997.2178 rounded to the nearest 10?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -312212222 - -331?\nAnswer: -312211231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -19, -35, -51, -67?\n\"Answer: -16*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - 2 - (-12 - -4). What is the second derivative of -14*u - 5 + 0 + r + 9*u**2 wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h - 14. Let k be z(10). Let n be (-362)\/(-6) - k\/(-12). Let a(d) = -26 + n - 22 - 2*d. Give a(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2985093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 165, 674, 1527, 2724?\n\"Answer: 172*m**2 - 7*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1.987104 centuries?\nAnswer: 19.87104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000321370912 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - (-756)\/8)*4. Let y = p - 336. Calculate the smallest common multiple of 80 and y.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/4 + -1)*212. Suppose -2*t + 7*t - 2*v + 283 = 0, 0 = -2*t - v - u. Let q be 10\/(t\/60 - -1). Calculate the highest common factor of 30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -8294?\nAnswer: -1\/8294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2911 is divided by 1265?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -4 + -1 - (-568 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 3. Let p be (3\/(-2) + (-13)\/26)*6\/(-4). Sort p, h, -2, 2 in ascending order.\nAnswer: h, -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w - 1938 - 2677 + 594.\nAnswer: -2*w - 4021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.45 and 0.06.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 293 - 172. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -663 = -6*r + 57. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -42.7, -5, -0.5, -0.4, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3\/2, -17022, -2, -0.5, -0.4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1897139*f**3 + 806*f**4 + 1897139*f**3)*(1 - 1 - 3*f).\nAnswer: -2418*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 67*f**2 - 6. Let p be q(-7). Let i = -26307\/8 + p. Find the common denominator of i and -73\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 6*r**2 - 8*r + 10. Determine s(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -616, -2607, -5926, -10573, -16548, -23851?\nAnswer: -32482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -3*n + 101, -16 = 4*y + 4. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-2\/13))**(-20))**(7\/3))**19 assuming g is positive.\nAnswer: g**(5320\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in 0.5, -11.6, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112777352 is divided by 878.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12755 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/(-18) - 2\/(-6). Calculate the remainder when 43 is divided by 14 - ((m - 1) + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v. Let q be f(0). Suppose q = t - 3*t. Which is the third smallest value?  (a) -1  (b) t  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -55  (b) 5  (c) -0.1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/((-3)\/(-2)) - (4 - (-1476 + -22)). Is l less than -1504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**3 - 3*f**2 - 4*f + 3. Let u = 3 - -1. Is t(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/(-9) - ((-39)\/15 - -1). What is the nearest to 1\/3 in m, 1\/10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*g**2 + 5 - 5)*(3*g**2 + 6*g**2 - 16*g**2)*(-4*g + 4*g - 2*g).\nAnswer: -98*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 634 (base 12) to base 7.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 246 or 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 20 - 2 = -5*t, 2*b + 4*t = 20. Suppose 3*a = 4*r - 12, -a - 8 + b = -2*r. Let o(h) = -3*h - r*h + 3*h. Let u(w) = 2*w. What is o(u(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, v: 4, x: 1, d: 1, q: 4, i: 1}. What is prob of sequence vxi?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -321 (base 13) to base 2.\nAnswer: -1000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-14))\/(540\/(-15120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 - 11*r + 9. Let w be v(-12). Let l = -1 - -4. Let c = l + w. Solve -3*o + o - 10 = c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - 3 - (4 - 18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03015?  (a) -6  (b) -1  (c) -4\/7  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8423897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ruusr. What is prob of sequence ru?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46, -52, -62, -76, -94, -116?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 + 68*d**2 - 672*d + 91. Let j be g(56). Solve -5*p + 82 = -c + j, -4*p + 5*c = 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 PM and 10:42 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 176 - 170. Let d(n) be the first derivative of a*n - 3\/2*n**2 + 3\/4*n**4 + 3 - 2*n**3. Factor d(c).\nAnswer: 3*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 14 = -5*l. Which is bigger: l or 3\/128?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-1) - (-18)\/6. Let z = -1\/93 - 167\/1767. Are z and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 13*h**2 - 18*h + 14. Suppose 0 = -2*p + p - 13. Let g be r(p). Suppose g = 3*t + t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 3. Let l(q) = -q**2 + q. Let u be l(t). Suppose -m + 8 = -u*m. Solve m + 1 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 5*c - 8, -3*r + 8*r + 3 = -2*c. Let o = 3 + -2. Let v be o\/(2 + 6\/(-4)). Solve 0 = -v*l - c + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 - (894*-14 + 2). Suppose -13*s + 2*s + 20438 = 0. Let h = i - s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -850.62 + -2.38. Is k greater than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2789, 5603, 8303, 10889, 13361, 15719, 17963?\n\"Answer: -57*j**2 + 2985*j - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + 5*1*sqrt(704) - (sqrt(704)*-1*6 + -2*sqrt(704)*2))**2.\nAnswer: -316800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m - h = -9*m - 0*h + 32, 10*h = -3*m - 307 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/7039 or 1?\nAnswer: 8\/7039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -2\/7, -2, -302, 2\/37.\nAnswer: -302, -2, -2\/7, 2\/37, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r = 4*r + 4*o + 6, r + 5*o - 7 = 0. Solve -2*m - 3*v = 13, -m + 11 = -r*v - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 297486 is divided by 297318?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/3)\/(23\/(-6)). Let w = -2.529 + 2.529. What is the nearest to w in l, -2\/7, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3*3*258\/27. Let r = c - -86. Solve r = -7*o - 7 - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1606883, -3213767, -4820651, -6427535, -8034419?\n\"Answer: -1606884*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1)\/h**(-1\/3))\/(h\/(h\/(h\/((h**(1\/3)*h)\/h))))**(-4\/7) assuming h is positive.\nAnswer: h**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-16)\/24*330\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 23, 17, -9, -67, -169, -327, -553?\n\"Answer: -2*n**3 + 2*n**2 + 2*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**2\/7 - 16*r\/7 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33 + 3*s**2 + 21 + 12 to t + u*s + m*s**2 and give t.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*f - 28 = 38, 20 = -r + f. Let n = -14 - r. What is the units digit of (2\/n + -1)*-63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16972?\nAnswer: 2, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/156*-3)\/(28\/(-1008)*-54)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.1 and -3831.03.\nAnswer: 4214.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-5) + -3*(-2)\/5. Solve 4*s + a = f, -s + 0*s = a - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -468230.5 rounded to the nearest 1000?\nAnswer: -468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4*((-8)\/(-64))\/(135\/20)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 57 - 19. Let f = 61 - a. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21120221202121 - -200?\nAnswer: -21120221201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/3 - 802*o**2 - 3200*o - 9592\/3.\nAnswer: -2*(o + 2)**2*(o + 1199)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -760 - -521?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2436 divided by 1218?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1394685933 take away 0.5?\nAnswer: -1394685933.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 111011000 (base 2) to base 13\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.22 + -3.1. Let g = m - 0.1257. What is g rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -7*a - 6. Let r be 1\/((-10)\/(-8))*-5. Give o(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j**2 + 124*j + 637. Calculate m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 66.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 4*f**3 - 3*f**2. Let k(p) = 7*p**3 - 6*p**2. Calculate -5*j(m) + 3*k(m).\nAnswer: m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 4*h + 19135, 2*t + 3*h - 788 = 6889. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3c1 (base 16) to base 8\nAnswer: -1701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17298*h + 2532*h**2 - 2*h**3 + 2292*h**2 - 5196*h**2.\nAnswer: -2*h*(h + 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7343, -7294, -7255, -7226, -7207, -7198?\nAnswer: -7199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(-1))**(-18))**(4\/43)*(b*b**(-1\/9)*b**(2\/13))**(-40) assuming b is positive.\nAnswer: b**(-226688\/5031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*n**2 + 21993*n - 34*n**2 - 21993*n.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -385.58279 rounded to one dp?\nAnswer: -385.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -816639, -816637, -816637, -816639, -816643, -816649, -816657?\n\"Answer: -g**2 + 5*g - 816643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-10))\/((910\/(-35))\/(-468))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 32 + 344 - (7 + 5). Solve 73*a + w = 21*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33252 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -345 + 1401?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 442250.8 kilograms to nanograms.\nAnswer: 442250800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s\/s**(-2\/23))*s)\/(s*s*s\/(s*s**(6\/11)*s*s*s)*s))\/((s**(-1)\/s*s)\/(s*s\/s**4)) assuming s is positive.\nAnswer: s**(369\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 138\/7  (b) -2\/7  (c) 58\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 6*b**2 + b - 5. Let r(l) = -2*l**2 + 2. Let y(n) = 25*n - 83. Let t be y(3). Let v(f) = t*r(f) - 3*d(f). Calculate v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - r - 5*r)*((0*r**2 + r**2 - 5*r**2)*(-5 + 1 + 2) + 2 + 14 + r**2 - 7).\nAnswer: -18*r**3 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 4  (b) 7  (c) -0.2  (d) 3\/2  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62334593 is divided by 304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -739\/43 + 2999\/172. Factor -7\/2*o**2 + 0 + k*o**4 - 13\/4*o**3 + 0*o.\nAnswer: o**2*(o - 14)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2da5c9 + 23?\nAnswer: 2da5ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0*(-1)\/(-3))\/(-2). Let p = b + 2. Suppose t = p*c + 3*c - 23, -2*t = 3*c - 19. Solve 0 = -2*f + 3*y + 5, -f - 1 = 3*f + c*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 75 + -96. Let m be -3 - -2 - (z\/27)\/1. Which is the closest to -2\/7?  (a) 4  (b) 3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of -d**4\/4 - d**2\/2 + 363. Let k(h) = 3*h**3 - h**2 + 4*h - 2. Determine 4*g(z) + k(z).\nAnswer: -z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33 - -28. Let z be (-488)\/(-9) + (282\/(-54) - r). Let b = 44 + z. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/(-32))\/(2*12\/8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9886, 9895, 9906, 9919, 9934?\nAnswer: 9951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 2\/4823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48421 and 57523.\nAnswer: 67934663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 86225473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19175795?\nAnswer: 5, 523, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 6*h. Let z be l(-5). Let r = z + 6. Let o be (-45)\/(-3) + 0\/r. Solve 5*x = 2*x + o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -2861236.3\nAnswer: -858370.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 - 68\/3. What is the nearest to z in 7, 1\/7, 2\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87955 is divided by 86?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -2\/3*p**3 - 6*p**2 + 0 + 0*p - 3\/8*p**4. Let s(g) = g - 11*g - 4*g - 6. What is 8*b(a) - 5*s(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -35*t + 40. Let q be y(2). Let r be (-82)\/(-615) - 596\/q. Which is smaller: r or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*g - 37050 + 551639 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6564521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 736445567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-4 - 18) - (-60 + 52) - (1 + -3)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -62.2 - -62. Let n = 0.03 + 1.77. Let u = n + -2.8. Which is the closest to u?  (a) 9  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12901181.\nAnswer: 17, 758893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, l: 2, z: 1, d: 1, u: 7, s: 4}. What is prob of sequence dlup?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 1:58 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 322 and -70788064569.\nAnswer: -70788064247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 37338 = -2*x, -5*o + 8*o = -4*x + 28001. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(0 + sqrt(1100) - sqrt(1100) - (sqrt(11) + (5*-1*sqrt(11) - sqrt(11)))))**2 - (sqrt(704) - -4*(1 + sqrt(704)))*6.\nAnswer: -240*sqrt(11) + 6851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 13 = 3*o, 66*o - 68*o = -l + 13. Let i(f) = 11*f**3 + 2*f + 2. Let s(u) = 6*u**3 + u + 1. Determine o*i(b) + 7*s(b).\nAnswer: -2*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14421180017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/12 - (-135)\/(-180))\/((-7)\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 11) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 10110011101000?\nAnswer: -10110011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 371161 and 2751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**3 - 2*v**2 + 12*v - 22. Let i be f(5). Which is greater: i or -2085\/8?\nAnswer: -2085\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 12\/5969 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 j when four letters picked without replacement from rfjjffrrrjffrj?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1762060.\nAnswer: 2, 5, 19, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7210\/(3 - 1) + 3\/3. Let w = n + -108167\/30. Let k = -13\/6 - w. What is the common denominator of k and -81\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1*sqrt(405) + sqrt(405))*6 + -4 + (sqrt(405) + 2*sqrt(405)*1 - (4 + -5*sqrt(405)))**2.\nAnswer: -576*sqrt(5) + 25932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17181 + 17181. Suppose -2\/7*x**3 + c*x - 6\/7*x**2 + 8\/7 = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of z**5\/120 - z**4\/24 + z**3\/12 + 8*z**2. Factor n(f).\nAnswer: (f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01038588 to five decimal places.\nAnswer: -0.01039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.9 + 14. Let g = 0.2 - m. Let l = 850.9 + -851. Which is the nearest to l?  (a) g  (b) 1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13000, -16, 4 in increasing order.\nAnswer: -16, 4, 13000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -126*p**3 + 200 with respect to p.\nAnswer: -378*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*f**2 + 15*f**2 + 8356*f - 35*f**2 - 8440*f.\nAnswer: 3*f**2 - 84*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -5. Let j = -1\/121436 + -500073439\/1092924. Let m = 458 + j. Is m >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -103*g**3 - 15*g**2 - 5*g - 25. Let d(f) = 3*f**2 + f + 5. Calculate -a(v) - 5*d(v).\nAnswer: 103*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 33 = -12. Let h(z) = 4*z - 28. Let t be h(9). Let u = m - t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 5*r**2 - 5*r - 4. Let u be d(-4). What is u rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 327951360641330 + -327951166856315.999919. Let y = t - 193785106. Let v = y - -92. Round v to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**9\/60480 + f**8\/3360 + f**7\/1680 - f**6\/720 - f**5\/60 - f**2. Let c(b) be the third derivative of d(b). Determine c(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*c + 6385 = -155*c - 83*c + 689 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 682\/4712*-19 - (-83)\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1678 - 7.1.\nAnswer: 1670.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -16 in ascending order.\nAnswer: -16, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-164)\/2 + 1338576\/16432.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c - 3*c + 2*c)*(2*c**2 + 5*c**3 - 2*c**2) + 0*c**4 + 18022*c**3 - 17996*c**3 + 6*c**4 as n*c**4 + t*c**2 + b + i*c**3 + u*c and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*c - 6*c = 114*c - 22*c + 2754 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -846 + 1115 - 3296 = 640*f + 2733 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 9, e: 9}. Give prob of sequence ei.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 192*m**3 - 2. Does 5 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -233\/3 - -77. Let m be 14 - 2 - (31 + -18). What is the nearest to 2 in m, -2\/13, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 239469.\nAnswer: 3, 79823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -3. Let h be 25*(-388 - (2 - m)). What is h rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 4*g + g)*(8*g**2 - 2*g**3 - 8*g**2 - 3*g).\nAnswer: 6*g**4 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26440995 by -5288199.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 22117, 8, -5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 27*m - 176. What is the third biggest value in -5, 0.5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 4*h + 29. Calculate a(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10 or 219009.4?\nAnswer: 219009.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**2\/7 + 2211*d\/7 - 7451250\/7 = 0 for d.\nAnswer: -1987, 1250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7253976351?\nAnswer: 3, 19, 71, 1792433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 - -27. Let g(z) = 7*z - 2. Determine g(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 51*m**2 - 5 - 1 + 4.\nAnswer: 51*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 111, -3, -5, -1 in decreasing order.\nAnswer: 111, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8154790*k*x - 1839829*x wrt k.\nAnswer: 8154790*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 33062531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1790.156 to the nearest integer.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-4)\/(-2) - 0. Suppose 1 = -w + y, w - 2 = -4*x. Which is the smallest value?  (a) 4  (b) -1\/3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 792 = 2*d + 810, -2*d - 27 = -5*t for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -116 or 2\/15529395?\nAnswer: 2\/15529395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 832 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 656994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 675177472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/12*-4 - (-3 - 46). Suppose 6*i - 344 = z. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.0342 * 9.\nAnswer: -27.3078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r - 2. Determine s(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from {c: 3, q: 5, h: 5}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - (-10 - (-31 + 16))) + (-2 - -56) + 11.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41805 is divided by 380.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -2*z - 1154, 3*m - 5*m - z = -458. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71 - -66. Let f(k) = 2*k**2 - 7*k - 3. Let h be f(-5). Let a = 737\/9 - h. What is the closest to 3\/7 in a, 2\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3756, -6753, -9750, -12747?\nAnswer: -15744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**4 - 21287*c**2 - 3*c**4 + 21462*c**2 - 2*c + (2*c**2 - 2*c**2 - c**2)*(-c + c + c**2).\nAnswer: -2*c**4 + 175*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 2\/572849?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 + 2 - 3)*(-k + k + 2*k) - 7 + 7 + 8*k)*(-6*k + 42*k - 4*k)*(-2 + 2 + 4) to n*k + c + i*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9221.8444 + -64.4.\nAnswer: 9157.4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1241\/4 - 2175\/7. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -1680*j. Let v(q) = 2*q**2. Determine b(v(f)).\nAnswer: -3360*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7088?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2513 + -2512.7. Let y = 0.02 + 0.38. Which is the closest to -2?  (a) -1  (b) i  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/4  (b) -2\/5  (c) 0.898  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -79a9?\nAnswer: -79a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 3*h - 12841 + 12869, -h + 4*c = -28 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 61466\/30 - 4\/6. Let g = -7046 + 5005. Let j = g + a. What is the common denominator of -25\/9 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.571733 rounded to 2 decimal places?\nAnswer: -3.57","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Simplify h**10\/((h\/(h**(-12)\/h*h)*h)\/h)*(h**(1\/5)\/h)**(-1\/30) assuming h is positive.\nAnswer: h**(-223\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9\/82 or -1?\nAnswer: 9\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8 - 31a715?\nAnswer: -31a721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 4005*n - 56081. Let i be u(14). Let z(w) = 10*w**2 - 9*w + 6. Let q be (-24)\/10 + (-4)\/(-10). Let a(g) = -2*g**2 + 2*g - 1. What is i*a(r) + q*z(r)?\nAnswer: 2*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 - 4923984*i**2 + 9847965*i - 4923982.\nAnswer: (i - 4923982)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/((f\/(f**8*f))\/f))\/f)**(-20)\/(f**11*f)**42 assuming f is positive.\nAnswer: f**(-704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = t + 10. Let f be (-92)\/(-10) + 1\/t. Suppose -4*m - 3*q = -0*m + f, 2*m = 5*q + 15. Which is the second smallest value?  (a) m  (b) 2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135115 is divided by 1010?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1*1)\/(9\/(-45 - 0)). Find the third derivative of -2*i**5 - 52*i**t - 22*i**5 + 61*i**2 wrt i.\nAnswer: -4560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*r**4 - 88*r**4 + 3*r + 28 - 3*r wrt r?\nAnswer: -376*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - 2*r + 3*r)*(0*r**4 + 0*r**4 - 2*r**4 + (-2*r**3 + 2*r**3 + r**3)*(11 - 3*r - 11)).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + j + 205. Let f be z(0). Suppose 158 = 34*x - 148. Suppose x*y - f = 4*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 79.31 and -0.3.\nAnswer: 79.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3*z + j = -54, -j = -1. Suppose 5*s - 4*s + z = 0. Let l be (31 - (-3504)\/(-112))*(-2)\/4*-1. What is the fourth smallest value in 2, l, s, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 90*o. Let q(k) = -k + 7*k - 25*k + 21*k. Calculate p(q(r)).\nAnswer: 180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5118, 4808, 4290, 3564, 2630, 1488, 138?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4*(sqrt(242) - (1 + sqrt(242))) + sqrt(242) + sqrt(242)*-1*-1))**2.\nAnswer: 704*sqrt(2) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2674 - x**3 + 2674 + ((-3 - x + 3)*(3*x + x - 2*x) - 2*x**2 + 3*x**2 + 5*x**2)*(-4 + 2 + 3 + 5*x) as m*x**3 + v*x + c + u*x**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 1:27 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -6. Let o(p) = 5*p + 9. Let m(v) = -v - 2. Let i(t) = d*o(t) - 9*m(t). Let w(g) be the first derivative of -g**2 + 1. What is w(i(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 307 - 145. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 58, 96, 132, 166, 198?\n\"Answer: -v**2 + 41*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 320  (b) 0.2  (c) 28  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4088\/59 = 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -2 + ((-5 + -3*(3 + 4 + sqrt(931) + sqrt(931)))*-1)**2.\nAnswer: 2184*sqrt(19) + 34195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1134  (b) -0.98  (c) -1  (d) 1\/7  (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7179976 - 7179976 + 39*s.\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -85 + 538. Let m = x - 749\/5. What is the smallest value in m, -4\/5, 0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 1  (b) 0  (c) 37  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -1. Suppose w = -4*d + 20, -w = 2*d - 0*w - 12. Suppose d*i = -r*i + 8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + ((-21)\/(-10) - 6\/10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*h = 5, -5*k + 2*k + 3*h - 3 = 0. Suppose 0 = -5*a - 1 + 1. Put k, a, 3 in decreasing order.\nAnswer: 3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000104409 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2. Let g(v) = 9*v + 10*v - 6*v. Determine l(g(m)).\nAnswer: -338*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n - 11. Calculate z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-42)\/(-9))\/2*-3. Let m be (-9)\/s - (-8)\/(-28). Let t(u) = 46*u**3 + 2*u**2 - u. Does 18 divide t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 4*q - 1. Is q less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 13772855*f. Let w(p) = 3*p**2. Calculate n(w(h)).\nAnswer: 41318565*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -625.58\nAnswer: 1876.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + -1*(4392\/(-4) + 2). Suppose 0 = 9*x + 261 + o. What are the prime factors of (-7)\/((-21)\/(-6)) - x?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42577843 and 1666.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1715 = 2*o + 3*c, -2*c + 3427 = 4*o + c. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from vpqqppppqpppq?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/7)\/q**(-4))\/(q**(-2\/7)\/q**(-1\/5)) assuming q is positive.\nAnswer: q**(158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-66*z + 52 - 98 + 46)*((-132 + 56*z + 132)*(-1 - 3 + 2) - 2 - 2*z + 2)*(0*z + 0*z - z) as i*z**3 + s + t*z**2 + m*z and give i.\nAnswer: -7524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 2*x**2 - 22*x - 56. Is k(-11) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2119415 is divided by 107?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-63)\/441)\/(3\/3 - 9\/((-630)\/(-410))).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15258420857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 269239387 and 6987.\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53 - 52.973. Let j = 1.341 + -1.36886. Let f = i + j. What is f rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-8))\/((-35)\/(-28)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(272)*6.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 133580 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 308*z**3. Let b(n) = -61910*n**3. Determine 3*b(i) + 604*y(i).\nAnswer: 302*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pos when three letters picked without replacement from uuspo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -3*q - 0*q + 91, -5*q - 3*s + 173 = 0. Let b = -14 - q. Is b greater than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9  (b) 3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -257*k**3 - 4*k**2 + 2*k + 2. Let w(l) = -773*l**3 - 14*l**2 + 7*l + 7. Determine -14*d(r) + 4*w(r).\nAnswer: 506*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 1350 = -340. What is the common denominator of 106\/159 + t\/(-12) and -95\/442?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (782\/(-170))\/(9 + (-90)\/9)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 20.3. Let t = o - 4.7. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -14 - 14 - (3 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1929)\/(-45) + (-4)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 120 = -10*q. What is the remainder when 89 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of -321*x**4\/4 + x**3\/3 + 87*x**2 + 778. Find the second derivative of s(b) wrt b.\nAnswer: -1926*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*q + 3*k, -k - 4*k = 25. Let l = -6 + q. Suppose x + l*x = 45. What is the greatest common factor of x and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10948, -21895, -32842, -43789?\nAnswer: -54736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from kkkzkz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, x: 2, h: 4, d: 1}. What is prob of sequence xd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -16  (b) 3\/4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-3*377\/(-26))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 321206, 642411, 963616, 1284821, 1606026, 1927231?\n\"Answer: 321205*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*z - 22 = 5*l, -3*z + 14 = 57*l - 55*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 80301110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*s**2 + s**3 + 30*s**2 + 30*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 29 - -29096209?\nAnswer: 29096238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*p - 150. Let d(n) = n**2 + 10*n - 26. What is the remainder when p is divided by d(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p*p**(-8))*(p**4*p)\/p)\/(p**(-2)*p*(p**(-1\/3)\/p)\/p))\/((p**2)**(-6\/5)*(p**(-1))**(-2\/3)) assuming p is positive.\nAnswer: p**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 22588763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -140?  (a) 1\/4  (b) -4  (c) -0.4  (d) -5  (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o + 4. Let y be u(2). Let r be y*(-9)\/24*-12. Let c(l) = l**3 - 9*l**2 - l + 22. Is c(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**2 - 88470515*z - 442352450 = 0. What is z?\nAnswer: -17694098, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 4  (c) -8  (d) 24\/7  (e) 81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 41911 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + (35 - (-1 + 0)). Suppose 6*a + 0*a = w. What is the least common multiple of a and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o**2 + 2*o**2 + 2*o**2 + (3*o**2 - 2*o**2 - 3*o**2)*(-18 + 1 + 4) as g*o + u*o**2 + k and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 943782, 943783, 943784, 943785?\nAnswer: 943786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = -4*y - 20, -4*y = -h - 3*h - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aooo when four letters picked without replacement from {a: 7, o: 9}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/327 and 61\/18?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39.999992 - -40. What is r rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1606 - 1614.79. Let v = w + -0.21. Let y = -8.99999961 - v. What is y rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 113*m + 14*m + 53*m to x*m + f and give x.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170 = -5*x + 15. Let i = x - -35. Solve -3*t + 3*u + 2 + i = 0, 4*u = 5*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 + 3*r**2 + 7*r**2 + 9*r**2.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-1)*h)\/h)**(-31))**(-11)*(h**(-1\/6)*h*h**(-5\/6))\/(h**1*h\/(h**(1\/4)\/h)) assuming h is positive.\nAnswer: h**(-1375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16904 * 5440.2.\nAnswer: 91961140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -2.1702, 858 in ascending order.\nAnswer: -14, -2.1702, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*2*((-1*(-1 + sqrt(171)))**2*5 + 0).\nAnswer: -10320 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 291*t**3 + 10*t**2 + 5*t + 25. Let c(q) = q**3 + q**2 + q + 5. Calculate 5*c(x) - k(x).\nAnswer: -286*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18817, -18816, -18815?\nAnswer: -18814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 6) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1564933*u**2 + 1523851*u wrt u.\nAnswer: -3129866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 133081, 133658, 134235?\n\"Answer: 577*h + 132504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 10) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1024\/1232 - 88\/462*6\/4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/(-5))\/((-4)\/10). Let o(l) = l**3 + 5*l**2 + 3*l + 1. Let r be o(-4). Suppose r*v - 161 = -1. What is the highest common factor of u and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 97 - 13 = 0. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 673039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s**2 - 5*s + 23. Is k(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + i)*(i**3 + i**3 - 4*i**3) + 4*i**4 + 624*i**3 - 622*i**3 + 2*i**4 + i**4 + 2*i**4 + i**4.\nAnswer: 8*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4971 - -4978. What is the nearest to -6 in 3, 27, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 15 = -0*y. Let n(j) = 1. Let g(w) = 3*w + 4. Let z(r) = -g(r) + 3*n(r). Let k(c) = -c. Let f(v) = -10*k(v) + 4*z(v). What is f(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -6) + -4 + 2 + -8 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 5*b + 22 = 0, -2*p + 4*b - 17 = -5*p. Let u(y) be the first derivative of 1\/3*y**p + y**2 - 1 + 0*y. Find the second derivative of u(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 203*a**3\/6 - 149*a**2 - 65*a - 2. What is the derivative of x(t) wrt t?\nAnswer: 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3035, -6065, -9095, -12125, -15155, -18185?\nAnswer: -21215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15514 (base 8) to base 16.\nAnswer: -1b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 33*q + 82. Let i be o(29). Let h be 4\/(-14) + 1320\/(-35). Let m = i - h. Solve -1 = -m*s + r, r - 2 + 3 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 8275784413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1763.66055 + 1.68555. Let w = -1780 - b. Let i = w + -0.275. Round i to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2756.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 295*x - 2*c - 8 = 295*x, -2*c = 7*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20618 + 25098. Calculate the highest common factor of 60 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 8*i**2 + 230*i + 100. Calculate p(0).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do -1672 and -1672 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4*h - 15 = -3*j, 4*j - 33 = h. Solve -2*k + 18 = 5*r - j, 2*k = 5*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6 or 346\/59?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -0.02  (c) -1\/4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6590)\/(-15) - 84\/63?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 712*u - 450 + 1423 - 346*u wrt u.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-91047)\/11 - 1*(0 + -4). Let t = -3882 - -7055. Let q = j + t. Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 972 - 966. Solve -c = -87*o + 84*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 54792 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 771074?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1344997.\nAnswer: 31, 43, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22373*x**3 - 13456*x**3 + 201*x**3.\nAnswer: -35628*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7779.\nAnswer: 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**3*h**2 - 151*d**3*h*m**2 + d**3 + 2*d**2*h**2*m**2 + d*h**2*m - 18*h**2*m wrt m?\nAnswer: -302*d**3*h + 4*d**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/(-3) + 20)\/(-1). Let g be (-4)\/w - (-3063)\/33. Suppose -2*n = n - g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*q**3*x + q**3 - 1485919*q**2 - 45726*q*x + 648*q wrt q?\nAnswer: 12*q*x + 6*q - 2971838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j + 12. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8818*x - 8843*x = 175 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 108*-6*6\/(-27). Suppose -148*m + u*m = -432. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 13*l**2 + 14216*l + 196468. Calculate g(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 561 and 24.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 613 and 455459?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13419661763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-1 + 5 - (10 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from aaat.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5.457864 and -2.\nAnswer: 3.457864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8239967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 10 = -w - 0*x, -10 = -5*w + 3*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(3\/(-6) - -3). Let f(q) = q**3 - 5*q - 1. Let u(i) = -i**3 + i**2 + 5*i. Let k(w) = -5*f(w) - 4*u(w). Does 2 divide k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 17, 6, 2 in ascending order.\nAnswer: 0, 2, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 v when four letters picked without replacement from ttttvtttttttttvttvv?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*c**3 + 1221*c**2 - 1221*c**2.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/2 - (-102)\/12. Let m = -3 + a. Suppose -v = -5*y + v, 3*v = -m*y + 25. Solve -5*r = y*s - 18, 3 = -4*s + 4*r + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -225, -876, -1981, -3534, -5529, -7960, -10821?\n\"Answer: q**3 - 233*q**2 + 41*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -554008, -554073, -554138, -554203, -554268, -554333?\nAnswer: -554398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 5*l - l)*(1 - 1 - 1) + l - 4*l + l + 4*l - 56*l - 12*l + 3*l - 2*l + 0*l.\nAnswer: -67*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5637053ml?\nAnswer: 0.0005637053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**3 + 480*u**2 + 56180*u + 318720.\nAnswer: -5*(u - 166)*(u + 6)*(u + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 7*w**3 - 2*w**2 + 3*w - 2. Let n be m(1). Let d be (-18)\/(-4) + (-5 - -8)\/n. Solve -d*o = 4*f + 25, f + 0*f = 5*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 1, -v - 27 = 4*g - 6*v. Let i = 12 - g. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12603, 50557, 113869, 202545, 316591, 456013, 620817, 811009?\nAnswer: 1026595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -15*b**4\/4 - 5*b**3\/3 + 5*b**2 - 62. Factor l(w).\nAnswer: -5*w*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 592\/14 - (-2 + (-96)\/(-42)). What is the greatest common factor of 462 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -43*j**3*v**3 - 128*j**3 + 123*j**2*v**3 + j**2 + 23*j wrt v?\nAnswer: -129*j**3*v**2 + 369*j**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -26 - (109 - 77 - -45).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of 1089*x**4\/8 + 2156*x**3 - 395*x**2 + 24*x - 14106. Find u such that h(u) = 0.\nAnswer: -12, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -277 - -275. Which is the closest to -0.3?  (a) 0.4  (b) x  (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of -50*s**3\/3 - 107*s + 136. What is the derivative of r(o) wrt o?\nAnswer: -100*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77570c (base 14) to base 13\nAnswer: ab9b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1050, 4203, 9458, 16815, 26274?\nAnswer: 37835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10\/4 + -2)*8. Put -11, -2, b in ascending order.\nAnswer: -11, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a5389 (base 11) in base 7?\nAnswer: 2450063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -66*z + 82. Calculate m(4).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2799 - 2783 = -4*o. Put -149, o, -2 in increasing order.\nAnswer: -149, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 8, m: 1, h: 6, v: 1, x: 1}. Give prob of picking 1 v and 1 x.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/((-18792)\/1878 + 10) is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10586941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -126*m - 9750. What is i(-53)?\nAnswer: -3072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of k**8\/10080 - k**5\/30 + 2*k**2. Let p(s) be the third derivative of y(s). Let g(c) = -2*c. Give p(g(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 16, h + 3*h + 4*s = 4. Let l(f) = -f. Let v be l(h). Solve -v*d + 0*d = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9.38364 - -8.915299. Let y = c - 44.536759. Let f = 45 + y. Round f to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 178436861 to the nearest integer?\nAnswer: 13358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3714, 7423, 11132?\nAnswer: 14841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -9972\/107 at most -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**3 + 60*q**2 + 16*q - 3. Calculate the remainder when i(30) is divided by 236.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4777 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22028 is divided by 132?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 849d8 (base 15) in base 14?\nAnswer: ad480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 12*z**2 - 4*z + 7. Let v(j) = 11*j**2 - 3*j + 6. Let p be 5 + -1 - ((-18)\/(-39))\/((-270)\/(-4680)). What is p*v(k) + 3*h(k)?\nAnswer: -8*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19.738051363 - 19.738. What is x rounded to 6 dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.3201 - 3.0201. Which is the nearest to -250?  (a) -0.3  (b) 4\/5  (c) 2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, -226, 1, -22, -1\/5, 8 in decreasing order.\nAnswer: 8, 1, -1\/9, -1\/5, -22, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -n**3\/2 + n**2\/2 - 4*n. Let w(i) = -i**3 + 6*i**2 + 6. What is the remainder when w(5) is divided by m(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317139 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54 + -70 - (0 + -47 + -1) - -21.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**3 - q**3 + 4*q**3)*(57 + 52 + 80 + 99).\nAnswer: 288*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 5\/3, -20, 2\/5, 12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57 - 23. Suppose -w + 3*u = 4*w - q, u + 23 = 4*w. Find the third derivative of -3*p**w + 2*p**5 - 3*p**2 + 2*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -167 + -27?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 4:50 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 8\/53  (b) -0.2  (c) 0.3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 - -49. What is the least common multiple of 8 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - ((-3 - -13) + 6) - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 200003 (base 4) in base 13?\nAnswer: c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 8508.554 meters?\nAnswer: 8508554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 3*z**4 - 7086*z**3 + 4184283*z**2 = 0.\nAnswer: 0, 1181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = -3*y + 28, 2*y + 27 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2354 and 3784?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/3 and -121\/258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 41, 42, 43, 44?\n\"Answer: h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17497*z**3 - 1436*z**2 - 98887993*z?\nAnswer: -104982*z - 2872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13314?\nAnswer: 2, 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -1. Let v = 13 - 26. Let t = v - -21. Solve 5*g - t + 33 = w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 960 and 46737312?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(-15*y + 15*y - 10*y**4).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n - 2. Let a be (-7)\/(-21)*5*-3. Calculate v(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8843 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5043 is divided by 1659?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*t + 26*t + 6 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -13*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -80, -123, -164, -203, -240, -275, -308?\n\"Answer: l**2 - 46*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1268 - 1272. Which is the smallest value?  (a) -15.2  (b) 0.2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 837, 1762, 2775, 3876?\nAnswer: 5065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 104*i + 103*i - 256 = 0, s - 4*i - 36 = 0. Calculate the remainder when 622 is divided by s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 4*h = -3*h + 793, 646 = -4*y + 5*h. Let t = -481\/3 - y. Let n = 2\/21 - 25\/42. What is the closest to n in t, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.139 - 0.041. Let k = -0.02 + w. Let h = -0.5 - k. Put -0.1, -5, h, 2\/11 in decreasing order.\nAnswer: 2\/11, -0.1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2868 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 3\/4*g - 3*g**3 - 9\/4*g**2 = 0. What is g?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11643 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -3*o - 4*y - 1, -y - 18 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32337463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/16 and 65\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1741813*-6\nAnswer: -10450878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 197 + 91. What is the smallest common multiple of l and 384?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**(-1\/16)*w))\/(w*w**(-5\/6)*w))\/(w**8*w**(-10)*w) assuming w is positive.\nAnswer: w**(-59\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 + 80*a**2 - 442*a + 360.\nAnswer: 2*(a - 4)*(a - 1)*(a + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.34 and -858.72.\nAnswer: 291.9648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**5 + r**4 + r**3 - r - 1. Let t(c) = -c**5 + c**4 - c**3 + c + 1. Let z(h) = 5*o(h) + 5*t(h). Let z(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.7425 rounded to 1 decimal place?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3443 = 5*b + 8*x - 6*x, b - 667 = 5*x. Let o = -385\/4 - -825\/8. Calculate the common denominator of o and b\/336 + 4 + 1\/7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 5, -77.7893 in increasing order.\nAnswer: -77.7893, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 7.0000024. What is m rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**(-8)*q*q*q**2)\/(q**(-3\/5)\/q**(-1\/5)) assuming q is positive.\nAnswer: q**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 288387 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*q - 611 = -m, 5089*q - 5094*q + 25 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n + 9. Let l(u) = u**3 - 16*u**2 - 16*u + 1. Let o be l(17). Suppose 0 = -3*p - o - 9. Let c be z(p). What is the biggest value in -0.3, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 88 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66 - -100. Suppose 7*w = 6*w + q. Calculate the greatest common divisor of w and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -4*y + 597, y + 2*x = -y + 312. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -437b - -d?\nAnswer: -436c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -0*v - 20. Let u = -166.9 - -167. Let h = -0.8 + 0.3. Which is the closest to u?  (a) h  (b) 0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000001112 - 0?\nAnswer: 1000001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -801*b + 788*b + 91 = 6*t, 2*t - 7 = -b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81 = 162*p - 135*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of 7*h**4\/4 - 5*h**3\/3 - 18. Find the third derivative of y(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2628*14837\nAnswer: 38991636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, 1, -12401, -61, -5 in increasing order.\nAnswer: -12401, -61, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.04 - -3.66. Let g = 5 - y. Which is the smallest value?  (a) -2\/3  (b) g  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuw when three letters picked without replacement from {u: 5, j: 9, s: 1, w: 5}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (246 + 3593 + 419 + (2 - 3 + 0)*(-3 - 4 + 6))*(2*r - 1 - 3*r + 2*r).\nAnswer: 4259*r - 4259","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.426 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 4*s + 33, 0 = 5*d + 5*s - 0 - 20. Let p be (-1)\/((-5)\/20) - 12. Is (-112)\/(-6)*((-68)\/p - d) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/63 and (16\/(-96))\/(21\/(-728)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 402340 - -10?\nAnswer: 402400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6590?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 - 5*k - 4*k - 31*k - 3.\nAnswer: -40*k + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*f**4 - 69 + 4*f**4 + 69 - 7*f wrt f?\nAnswer: 192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(4 + 2 + 2*(sqrt(208)*-3 + -4 + 1*sqrt(208) + 0)))**2.\nAnswer: 2304*sqrt(13) + 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 47155121 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)*2*6*-5)**2 + -5*(1 + sqrt(700)*4)**2.\nAnswer: -400*sqrt(7) + 851195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1949309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 13601*j**2. Let p(x) = -14263*x**2 + 2. Determine p(a(u)).\nAnswer: -2638472447863*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from rrozazr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 10) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - 4*w)*(w + 0*w + 2*w) + 2*w**2 + w**2 - w**2)*(1 - 1 + 3) - 1 - 371*w + 29*w**2 + 371*w.\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 3*i - 3, 10 = 3*i - 4*z - 0*z. Suppose 0*t = -i*t. Is -4\/7 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 1745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f = 6114 + 29736. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((3 + sqrt(405) + (3*sqrt(405) + 0)**2 + sqrt(405))*6 + 4).\nAnswer: -109460 - 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -2*k**3 + 908182*k**2 - 103093414704*k - 1340367878304 = 0?\nAnswer: -13, 227052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -144, -292, -440, -588, -736?\n\"Answer: -148*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of 11*n**4\/12 - 10*n. Let f(q) = 4*q**2. Calculate f(a(r)).\nAnswer: 484*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40, 103, 164, 217, 256?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 95 + -65. Let z = 291 + -261. Calculate the highest common divisor of z and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 8 - 14 + 8 + 5*g. Let m(o) = 1. Give -4*m(x) + 2*w(x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -0.116411.\nAnswer: -0.0116411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 143313 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of -w**5\/60 - 11*w**4\/24 - 5*w**3\/6 - 58*w**2 + w. Let m be n(-11). Let r = 3.08 + -0.08. Sort r, 4, m.\nAnswer: m, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21200200200 (base 3) to base 4\nAnswer: -210331233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -651.2 + 651. Which is the third biggest value?  (a) 1  (b) -1\/3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + a. Let z(n) = -12*n**2 + 14*n. Let r(l) = 28*x(l) - 2*z(l). Let f(c) = 4*c**2. Determine f(r(j)).\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 7*g + 4*c - 6884 = 0, -c + 11445 = 5*g. What are the prime factors of g?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 4*o - 0 + 6, -5*u + o = -12. Find the second derivative of -8*z**u + 13*z + 2*z**2 - 5*z wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 233 in -2\/21, 1\/7, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -43 - -58. Suppose a*z = 14*z. Suppose z*d = 3*d - 3*c - 42, c = 2*d - 30. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o + 0 + 0)*(o**2 - 1 + 1)*(-7 + 2 + 2)*(-1 + 8 - 1)*(3*o + 2*o - 4*o) as q*o**2 + w + u*o**3 + l*o**4 + i*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minus 154240?\nAnswer: -154207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-300)\/(-48)*(-58)\/(-145).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (80\/15 - 5)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4300*u + 5*n = 4304*u - 4364, u = 5*n + 1121. Solve -u*m = -1089*m + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 179\/122 + 2\/61. Let t = -0.3 - -0.1. What is the second smallest value in p, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -16*g - 3. Let m be v(1). Let t(u) = u**2 + 18*u - 13. Let j be t(m). Calculate the highest common factor of j and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -j**2 - 22. Let a(m) = 28*m**2. Give b(a(p)).\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2659215, -5317971, -7976729, -10635489, -13294251?\nAnswer: -15953015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 7*n**2 + 3*n. Let r be b(1). Suppose 0 = -7*h + r*h - 1314. What are the prime factors of h?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/58078 and -38\/203273.\nAnswer: 406546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -24. Let y be 2\/b - (-786)\/42. Let w = 122 - -49. What is the greatest common divisor of w and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1782)*-4 - sqrt(22))\/(sqrt(110)\/(sqrt(10) + sqrt(10) + sqrt(80)\/sqrt(8)) - sqrt(11)).\nAnswer: 111*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-4) - 5\/(-2). Suppose n*p - 42 - 21 = 0. Solve -1 + p = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 26 = -35 + 15. Let l(w) be the second derivative of 2\/3*w**p + 0 - 3\/2*w**2 - 30*w. Differentiate l(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*s**6 - 22*s**2 - 12*s**2 - 13*s**6 - 12*s**6 wrt s?\nAnswer: -2520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/924)\/(6738\/(-30321)).\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124 + 65 + 59 + 1528*r**3 + 469*r**3.\nAnswer: 1997*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -262681 + 23?\nAnswer: -262657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/48 and -27\/128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*x - 17*x - 24 = -t, 5*t = 0. Find the third derivative of 27*n**x + 8*n**6 + 47*n**6 + 88*n**6 + 115*n**2 wrt n.\nAnswer: 20400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*x = 18*x - 28, 5 - 75 = 2*r + 5*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {d: 10, w: 2, g: 2}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of l**5\/60 + l**4\/6 - 4*l**3\/3 + l**2. Let b be w(-6). Suppose -b*c - c + 70 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*r = -32 - 79, 9 = -3*r. Let d be p\/(-12) - 1\/4. Solve 5*j + 4*g - 17 = 0, -3*j + d*g = -0*j + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -4. Let b be (-5)\/(20\/(-16)) - 2. Suppose -1 = c - b*c. Sort l, -1, c.\nAnswer: -1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 17*v - 9. Let u be k(7). Let b = u + -117. What is the hundreds digit of (-34)\/119 + (-1444)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 43 + -25. Let l = a - -13. Is l + 4\/3*3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68 and 12019.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4783504 divided by -54358?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s + 7. Let m be u(3). Let f be ((-30)\/(-5))\/1*m. Let n be 52\/12 + (-3 - (-16)\/f). Solve n = 3*p - p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/24*(2 - -842) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 5, 0, 687?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -2761?\nAnswer: -2756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, -3\/32, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9295 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + q = 5, -2*q - 3*q + 1 = 3*u. Suppose i + 39 = 5*i + 3*z, 20 = 2*i + u*z. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 - (-36 + (22 - 8)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 470490030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-4)*(-24)\/9. Suppose -n*j + 8 = 0, -7*j + 386 = 3*x - 3*j. Suppose 4*v + 2*d + 0*d - x = 0, -v = d - 32. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1327911, -2655824, -3983737?\nAnswer: -5311650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3232400 is divided by 754.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -2*m - 2*h + 16, 0 = -4*m + 4*h + 84. Let z = m + -24. Solve 3*i + 6 - 19 = 4*n, -z*i + 3*n = -10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -41, -6, 0 in decreasing order.\nAnswer: 2, 0, -6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(1331)*4 - (((sqrt(1584) - (-4 + sqrt(1584) + 1)) + sqrt(1584))**2 - sqrt(1584)).\nAnswer: -1593 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00049269 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) 95  (c) 0.079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - 35) + -22 - -15.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - d = 2*d + 8, 5*d = -5*u + 10. Suppose 5*w + 4 - 10 = 3*v, -u*v - w = -9. Suppose -b - 8 = -v*c, -4*b + 39 = 4*c - 9. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v - 2. Let i be q(12). Suppose -3*f + 5*b = -i - 4, -3*f = 2*b - 7. Let c be (15\/(-18))\/((-5)\/f). What is the third biggest value in c, -1\/3, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1582*l = 1916*l + 668 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 281, 561, 841?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 3143*t - 3143*t + 2*t**2. Let j(d) be the third derivative of 3*d**5\/20 + 3*d**2. Give p(j(z)).\nAnswer: 162*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 3 = -y. Calculate the smallest common multiple of 7 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13167897 to the power of 1\/2, to the nearest integer?\nAnswer: 3629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13\/10714 - -63783\/1794595. Calculate the common denominator of 51\/737 and f.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 34917540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -59*q. Let t(n) = 360554*n. Determine t(v(k)).\nAnswer: -21272686*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 3*q - 918. Suppose 529 = 38*j - q. Calculate the lowest common multiple of j and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1161 and 27?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 8. Calculate the remainder when 39 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17561293619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 308\/13131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -101\/4*u**4 - 35 + 7\/3*u**3 + 0*u + 9\/2*u**2. Find the third derivative of r(g) wrt g.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -5*z + 44, -2*z = 3*z + d - 36. Let q = z - -142. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o + 4. Let n be 9\/(-2) + 12\/(-8). Let x be 2 + n\/((-12)\/10). Give c(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -1.184?\nAnswer: 0.4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 339*o + 20707. Give i(-259).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 378 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 18, -5, 4 in decreasing order.\nAnswer: 18, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 74*y = -1035. Solve -2*h - 2*c + 5 = -c, -2*h - 5*c = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 30*k. Let m(d) = 2*d**2. What is f(m(w))?\nAnswer: 4*w**4 - 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 6*l. Let j be w(2). Let k be 1*4 + (-4)\/2. Let y = k + j. What is the least common multiple of y and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1450 and 1160?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, x: 4, e: 1, o: 1}. Give prob of sequence se.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 54*v**2 + 115*v - 9. Give t(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4412 - -4480. Let w = 34 - 20. Calculate the remainder when n is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 780040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 2*i - 19 = v, -3*v + 4*i + 17 = 0. What is the second biggest value in 0.5, -25.3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, w: 4, t: 4}. Give prob of picking 3 t.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + 2. Let t be w\/21 + 46\/6. Suppose 0 = 3*d - t*d + 745. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/7 at most -168527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2054963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - -1) + 1*(-2 - 0)*4. What is the nearest to 2\/449 in -1, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 47, 89, 149, 233, 347, 497, 689?\n\"Answer: k**3 + 3*k**2 + 26*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 48921492 divided by -12\nAnswer: -4076791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 12 = -i + 5*i, 5*b = -25. Let o(q) = -2*q - 1635 + 1637 - i*q. Let d(m) = -4*m. What is d(o(v))?\nAnswer: 16*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 35 = 2*i. Suppose -63*f + 27 + 99 = 0. Solve 2*n - i = -q, -n + f*q + 7 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*l - 7*l + 1044. Solve 0 = 35*t - l*t - 2*v + 2, -14 = 3*t - 4*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1223, -2442, -3657, -4868, -6075, -7278, -8477?\nAnswer: -9672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 66233 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 23270951 rounded to the nearest 10000?\nAnswer: 23270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (20\/80)\/((-2)\/(-56)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/37984 and 61\/113952.\nAnswer: 113952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2)*(2*g**3 - 2*g + 2*g)*(5*g**2 - g**2 - 3*g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of -9961*a**4\/4 - 3148*a**3\/3 + 2*a + 8277. What is the third derivative of r(z) wrt z?\nAnswer: -59766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 33*r - 55. Let m be g(4). Let f = 115 - m. What is the highest common factor of 57 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 366  (b) 2  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 - -32. Let l = 41 - b. Let p = 29 + l. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 941, 4382, 9869, 17198, 26165, 36566?\nAnswer: 48197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 + 4 - 53*u.\nAnswer: -53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -17*p + 490. What is f(32)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 13*k**2 - 13*k + 15. Let r = -2812 - -2806. Let s(v) = -6*v**2 + 6*v - 7. Give r*i(c) - 13*s(c).\nAnswer: -6*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 366 + -355. Let q(k) = -14 - 3*k - 16 - p + 43 + 6*k**2. Suppose -2*g = 4*l - 1 - 19, 0 = -5*l + 20. What is q(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1968.8 - 1969. Which is the fourth smallest value?  (a) 3  (b) 378  (c) v  (d) 0.4  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qjjzzzzm. Give prob of picking 3 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 267, 585, 903?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/4550 and -58\/2275.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12674442?\nAnswer: 2, 3, 11, 192037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31023203 - -3313?\nAnswer: 31033122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**4 + 77128*m**3 - 58151424*m**2 = 0 for m.\nAnswer: 0, 786, 18496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 79*x**2 + 7*x - 37. What is the thousands digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -2*z - 15, 5*z + 8516 - 8541 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 2694075?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-107)\/18)*4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 rounded to the nearest 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) 4\/13  (c) 1  (d) 5  (e) -1\/2768\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0079773 years to decades.\nAnswer: 0.00079773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189016 - 142808 = -2432*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 94536 and 102024.\nAnswer: 10304424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2. Let g(b) = 2*b - 4. Let y be g(4). Let d(o) = 0*o + 3*o - y*o - 2*o. Calculate d(f(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -412 (base 14) to base 7\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -0.1  (c) -7  (d) -2  (e) 4  (f) 506\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6350666 - 0?\nAnswer: 6350666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -2\/3*j**2 - 87*j + 13\/18*j**3 - 1\/4*j**4 + 0. Determine r, given that m(r) = 0.\nAnswer: 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by -5?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14561 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 22, -29, 2, -5, 13.\nAnswer: -29, -5, -1, 2, 13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-1 + 4 + -6*1*sqrt(175))*-1)**2.\nAnswer: -360*sqrt(7) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 167118430 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*r + 30*r + 413020 = 2*v, 5*v + 826031 = 4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-8)\/(-3))\/(-2))\/(560\/(-120))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 61*i**2 - 77*i**5 + 4904 - 4904 wrt i?\nAnswer: -4620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/6 + 16\/12. Let f be (-14)\/(-35) - 24\/10. Let x be (30\/40)\/(f\/(-24)). Calculate the greatest common factor of g and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 95133.892 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of -x**5\/300 - 5*x**4\/24 + 44*x**3\/5 - 1377*x**2. Determine c, given that g(c) = 0.\nAnswer: -33, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 4*r**2 + r + 2. Let g(t) be the second derivative of -t**5\/20 - t**4\/12 + t**3\/6 - t**2\/2 - 2*t. Let x(w) = 3*g(w) + o(w). Factor x(h).\nAnswer: -(h - 1)*(h + 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -347194.97371355 - -347195. Let p = t + -0.0263. Round p to seven dps.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 467 + 5540216?\nAnswer: 5540705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 4*h + 177 - 167, 5*x + 3*h = 3. Solve -2*p - 4 = -2*s + 2, -5*p = -2*s + x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) -2\/5  (c) 30  (d) 2\/9  (e) 140482\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -278383160 to the nearest 10000.\nAnswer: -278380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 469.8 and -0.1.\nAnswer: -46.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*u - 5*v - 17, 3*u = 2*v - 1. Let w(t) = t**3 + 3*t**2 + t - 1. Calculate w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 AM and 12:41 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-8)\/v)\/v**(-5\/6))\/(v*v*v\/(v\/(v*v\/(v**4\/v)*v))*v)**(-13\/6) assuming v is positive.\nAnswer: v**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/84 and 85\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2081526, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*q**2 + 0*q**2 - 4*q**2)*(-55 - 67 - 43 + 44 - 5) to the form o*q + n*q**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**4 - 2*d**4 + 2*d**4 + 3*d**4 + 5*d**2 - 5*d**2 + (4*d - 4*d - d)*(-2*d**3 - 3 + 3).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 48588.6 millimeters in kilometers?\nAnswer: 0.0485886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14457, 14459, 14463, 14469, 14477, 14487, 14499?\nAnswer: 14513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/((b*b**8)\/b))\/(b**(-15)*b) assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -814 + 813 - (0 + (2 - 1) + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 + -39. Let d be (6 + -5)\/(b\/4). Let j be (2 + d + 1)\/(8\/40). Solve -2*y - u = -5*y - 4, 16 = -j*y + 4*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/16*-18*(568\/120 + -5)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 16*b**2 + 2. Let g be a(-2). Let i(w) = -w**3 - 21*w**2 - 66*w + 38. Let l be i(-17). Suppose -4*z + 88 = 5*o - 146, -o = -l*z - g. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -20*d**2 - 6*d - 3. Let k(z) = -19*z**2 - 5*z - 3. What is 4*k(v) - 3*q(v)?\nAnswer: -16*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 4*r**2 - 4. Let w be g(-4). Let n = -235 - -244. Let t = n + w. Solve t = -6*z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 0. Let j(o) = 11*o**2 - 4*o. Let c(h) = -7*h**2 - 2*h - 12. Let p(l) = 5*l**2 + l + 8. Let t(f) = -2*c(f) - 3*p(f). Calculate w*j(k) + 4*t(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26\/7 or 3?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 305 + 225 = 0. Let r(n) = 106 + 4*n - t. Let f(h) = -h**2. Calculate f(r(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -14*m**3 + 4*m**2 - 5*m - 17. Let a(c) = 5*c**3 - c**2 + 2*c + 6. Calculate -11*a(x) - 4*b(x).\nAnswer: x**3 - 5*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/(-6))\/((-3)\/(-9)). Suppose -4*r - h*g + 163 = -3*g, -5*g = -25. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2714 = -2*n, -192*g + 1076 = -190*g + 2*n. What is the remainder when g is divided by 93?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -26 + (-560)\/(-16) - (1 - 10). Solve 286*p + 2 = o + 285*p, 5*o = -2*p - m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2465454 (base 8) to base 9\nAnswer: 1250552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from mpmbbdbcmd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, u: 8, c: 3}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + 955\/(-120) - -10. Let z(i) be the first derivative of 1\/2*i**3 + 7\/16*i**4 - x*i**6 + 0*i + 0*i**2 + 0*i**5 + 14. Find w, given that z(w) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**22*d*d)\/d**1*(((d\/d**(2\/19))\/d)\/d)\/(d\/d**(-16\/5)))**(-27\/4) assuming d is positive.\nAnswer: d**(-45387\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -651 from -120.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 53*g - 147. Let c be s(-3). Suppose 0 = -r + 1 - 0. Solve 4*m + r + c = 0, -5*z + 4 = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 3 = 3*a - 5*m, -8 = -3*a + m. Suppose -a*u = -3*q + 1860, u + 1239 = 4*q - 2*q. Is 28 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.1, 1\/2, -0.4, -557 in increasing order.\nAnswer: -557, -0.4, -0.1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18619.\nAnswer: 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -6, 43, -10\/11?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4127486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2966 is divided by 143?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 - 13. Solve 0 = -2*a + p - b + 5, 3*p = 5*a - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 1. Let d(i) = -i**2 - 286*i + 575. Let f be d(2). Let c(x) = -4*x**2 + 5. Calculate f*c(m) + 5*a(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 4) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 43514.7 - 46359. Round s to the nearest ten.\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -393*w**2 + 252*w + 1340*w**2 + 431*w + 447*w**2 wrt w?\nAnswer: 2788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 9:27 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -58, 1\/4, -53, -141, 5?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 2 = -5*j, 3*j = -2*w + j. Let i be 20\/5 + (w - (6 - 1)). Let f be ((-7)\/(4\/(-40)*1))\/i. Round f to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 96 - 90. Is 60\/45 - (-23650)\/w 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 mzmp. What is prob of picking 1 m, 1 z, and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 6*i - 270 = 0. Suppose -15*a - i = -17*a. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from feeerefikemeemr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(-14)*b*b)\/b*b**(2\/39) assuming b is positive.\nAnswer: b**(-427\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -7\/29?\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 150*q - 154*q + 3*c, -9 = 3*q - c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 97 - 64.9302589\nAnswer: 32.0697411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (920\/93840)\/((-1)\/(-12)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 730 and -15576323.9161.\nAnswer: -15575593.9161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/(-6))\/(10\/630). Let n = z - 40. Let q be (-1)\/(-2) + (-5)\/n + 0. Which is the third smallest value?  (a) 2  (b) q  (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.389 + 15?\nAnswer: 14.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*t + 1. Suppose -4*z - 2657 = -5*d, -3*d + t*z + 1247 = -346. Suppose -6*r + d = 181. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -1\/8, 3\/5, 1.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6137 (base 10) to base 12.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + 2*n - 4. Let u(f) be the third derivative of f**4\/24 - 3*f**3\/2 + f**2. Let r be u(5). What is j(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*h - 19*h + 5*u + 8 = 0, -2*h - u = 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7730347 and 1059?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r = -11*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -11263 divided by -2\nAnswer: 11263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**5\/2 + 161*j**4 + 51*j**3 - 268*j**2 - 105*j\/2 + 107 = 0.\nAnswer: -107, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 26219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 2*u**2 - u - 7. Let o be q(-5). Suppose 792 = -101*f + 107*f. Let w = o + f. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2533084?\nAnswer: 2, 633271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2\/13*91\/105\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -350 - 11*j**2 + 173 + 177.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8951 + 301?\nAnswer: -8650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 466 = -3*a + 481, -3*l - 62*a + 319 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 = 2*l + 2*l - j, 4*j - 16 = 0. Calculate the remainder when 209 is divided by l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of b**4\/2 + 13*b**3\/6 - 6*b. Find the second derivative of r(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 455893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(17) + -5 - (sqrt(153)\/sqrt(225) - sqrt(17)).\nAnswer: -16*sqrt(17)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (129\/(-108) - 6\/(-8))*-42*14\/(-784).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4562512 to the power of 1\/2, to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(88)\/(sqrt(4) + sqrt(4) + -1*sqrt(4)) + sqrt(22))*-4)\/(sqrt(704) - (sqrt(275) + sqrt(275)*2 + sqrt(275))))**2 + -1.\nAnswer: -8*sqrt(2)\/3 + 35\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*o + 47 + 373 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 3:55 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -3644.\nAnswer: -1\/1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**3 + 90 + 99 + b**3 + 85 + 3*b**3 - 9.\nAnswer: 2*b**3 + 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5 + (((sqrt(384) + (sqrt(384) - 3*sqrt(384)))\/sqrt(8))\/sqrt(6))\/(((sqrt(256)*-2)\/sqrt(8))\/sqrt(8))).\nAnswer: -25 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 93 - 97 = 0. Let p = 116\/3 - a. Let r = -28\/5 + 191\/35. Sort r, p, 2 in increasing order.\nAnswer: r, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45162 by 6.\nAnswer: -7527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*x - 2316 - 390 = 2007 - 1234 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -206 + 276. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 + 2*f + 1. Let x be j(-3). Suppose 2*r = 3*r + x. Does 8 divide r\/14 - 342\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10.8 + -11. Let r = 1.9 + -1.6. Which is the nearest to 0.1?  (a) r  (b) -13  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18526 and 138.\nAnswer: 1278294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3537 divided by 18.\nAnswer: 393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1006 (base 7) in base 5?\nAnswer: -2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 79775, 159546, 239317?\n\"Answer: 79771*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.41 - 2.4498. Let x = -0.04 - v. What is x rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 * 13.287382\nAnswer: -0.53149528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbk when four letters picked without replacement from {k: 1, j: 2, b: 4, p: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -471  (b) 0.1  (c) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, 15, -3, 0.8, 0, -32, -4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-2*-1*(-6)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/1 + (-22)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**3 + 2*y**3 + 5*y**3)*(0*y - y - 5*y).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 9 - 2 = 5*n, 3*n - 3*d = 3. Let u(a) = a**3 - 7*a**2 + 3*a + 8. Let f be u(7). Suppose 0 = n*b - 7 - f. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 + (-1017)\/(-108))*-27*184\/(-115).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - 0.41777?\nAnswer: 18.58223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1761 + -1758.433. What is i rounded to 1 decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y - 1. Let m(q) = -404*q + 7. Calculate 5*d(z) + m(z).\nAnswer: -399*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(25)*1)\/sqrt(5))*6*-4.\nAnswer: -120 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4.1, -1\/3, -1\/5 in decreasing order.\nAnswer: -1\/5, -1\/3, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 21066 - -5?\nAnswer: 21073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and 0.7.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -115217962741 and 3.\nAnswer: -115217962738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -407201\/3020 + 5328\/151. Let p = -768\/5 - r. Let o = 54 + p. Is 0 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*y = -4*y + 7*y - 17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 323306?\nAnswer: -5\/323306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 355726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((44\/1430)\/(4\/20))\/((-3)\/(-3))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1152427 to the power of 1\/2, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/3542 and 93\/33488?\nAnswer: 368368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 1688*p - 4124. Is o(15) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*s - 158*s + 1422 - 1512 = 2794 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0)**(-1\/5)*i**2*i**(2\/17))\/((i*(i*i\/(i*i**3*i)*i)\/i*i**(-2\/7)*i)\/((i\/i**(1\/2))\/(i*i**6))) assuming i is positive.\nAnswer: i**(-737\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 3)*(3 - 3 + 2*n)*(6*n - 5*n - 2*n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 30921796 and 30921795 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2 - 2*l + 13*l**2 - 2*l + 1 - 4. Let k(r) = -3*r**2 + r + 1. Suppose -5*j = 47 - 57. Let o be (-3 + 6)\/(2\/6). What is j*n(x) + o*k(x)?\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -297 (base 11) to base 3.\nAnswer: -110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -172 - -167. Suppose 2 = -x - 1, -4*k + 3*x + 21 = 0. Let o(d) = 2*d - 1. Let u be o(k). Sort u, c, 2 in descending order.\nAnswer: u, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -31. Calculate the lowest common multiple of 136 and h.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.9309254 from -90275.\nAnswer: -90274.0690746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/1*(-1)\/2. Let p = 85.1 + -85. Suppose -2*d = -3*c + 2 + 8, 2*c - 8 = 2*d. Sort l, c, p in decreasing order.\nAnswer: c, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3\/5, 1\/7, -0.0398, 18\/17, 0.1?\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 511004 and 55614.\nAnswer: 35259276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 18 = -3*j - 0*j, j = -2*v + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -9*h**2. Let v(q) be the first derivative of 0*q - 1\/2*q**2 - 16. What is v(m(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 17773\/2  (b) -2  (c) 0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -5*w - 36, 0 = 4*w + 2*v + 2*v + 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -20 and 0.461545.\nAnswer: -9.2309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - (-26 + 33) - 65 - -10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 53*m - 472. Let j be k(9). Let d(t) = -t**2 + 6. Let u(i) = -2*i**2 + 11. Calculate j*d(w) - 3*u(w).\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 171 + 1?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36*w**5 + 2*w**3 + 4*w**2 + 22*w - 2 wrt w?\nAnswer: 2160*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 5*y + 6 - 4, -3*w - 3*y = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 10001?\nAnswer: -10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10858376 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2 + 17*i + 16*i + 8*i - 42*i. Give a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -119*h**2. Let q(p) = -1441*p. Calculate q(z(s)).\nAnswer: 171479*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 41001308 divided by 1\nAnswer: 41001308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.2875 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 542*q**2 + 29*q + 59. What is the hundreds digit of g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 64 - 168. Let h = f - -100. Let n be 2\/(-7)*58\/h + -2. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1003 = 3*h - 3670. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - 6*y**2 + 7*y. Let z be i(-7). Suppose -2*x + 28 = -z*x. Let u be 417\/12 - 2\/(-8). Calculate the highest common factor of u and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqrhqaqj. Give prob of picking 1 h and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 4. Let w be 33\/n + (-2)\/(-8). Solve 0 = w*f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.89 + -0.11. Let y = -8 - -3. Let b be (35\/(-5) - y)\/(-1 + 7). What is the smallest value in a, 1\/12, 1, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18\/23 - -316\/345. Suppose -2*z + 10 = 3*z. Suppose z*f - 4*n = -0*n, -5*f + 3*n = 0. Which is the closest to -1?  (a) o  (b) 5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 731794?\nAnswer: 2, 7, 167, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6384946158 to the power of 1\/2, to the nearest integer?\nAnswer: 79906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 9 = -3*b. Solve -4*g = 3*y - b, 0 = -3*y + 6*g - 3*g + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1024511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3891.\nAnswer: 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 607 + -439. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -1 - -8 - (-178 - -188).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 7 = 4*h, -h + 6*r - 3 = 5*r. Suppose h*s - 3*q = 566, 0*q = 5*s - 2*q - 1426. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, c: 6, s: 1, y: 3, b: 2}. What is prob of sequence cb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14762, 118417, 399956, 948383, 1852702, 3201917, 5085032?\nAnswer: 7591051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 6:04 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 3, -30, -9, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-6)\/(-10) - (-13)\/2 and -115\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 176952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-5 + 3) - (-2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 137*u - 550*u + 145*u + 2 - 639*u - 136*u to p*u + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5*(2 - (-36)\/(-10)). Let i be 6\/1096*(-6628)\/g. Let d = -22\/137 + i. Calculate the common denominator of d and -19\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 28 = -4*z, -z + 60 = 4*z - 5*o. Let x = z - 3. Solve 4*v + 4*p = 9*v - 8, 5*v - x*p = 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25110343 + 13?\nAnswer: -25110330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 10 = 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -21. Find the second derivative of 6*g**q + 4*g**2 - 3*g - 4*g**2 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*v - 9*v = -14*v + 54 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -10d328 + -3?\nAnswer: -10d32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n + 5. Let m = -151 - -157. What is v(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20\/15*45\/20 + 1154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -1833?\nAnswer: -916.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 7*p - 15 = 0, -52*a - 25*p + 51 = -48*a + 18*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/38 - (-758324)\/28196?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 21270307*i**4 - i + 64562906 wrt i.\nAnswer: 85081228*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**3\/6 - 191*t**2\/2 = 0. What is t?\nAnswer: 0, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5278, 10556, 15834, 21112, 26390, 31668?\n\"Answer: 5278*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 698*f - 387*f + 11196 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**2 + 67 + 58 - 125.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7204007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/17  (b) -2\/27  (c) 18  (d) -0.2  (e) -5  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**4 - 48*p**3 - 508*p**2 - 456*p.\nAnswer: 4*p*(p - 19)*(p + 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -163043, -652243, -1467579, -2609051, -4076659, -5870403?\nAnswer: -7990283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1745660 to the nearest 10000.\nAnswer: 1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11542274257\/3564 + -3238573. Find the common denominator of a and -149\/36.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4*t = 2*d - 154, -2*t = -8. Let z = 177 - d. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f + 3b1?\nAnswer: 3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 31 = -u, -2*u - 15*y + 19*y + 64 = 0. Solve -45 - u = -25*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.1331630100965 less than 2?\nAnswer: -15.1331630100965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 + (-62 - -29) + -65.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1264 - 1260. Solve s*l = -4*l + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**3 - 951*w**2 - 11736*w - 35532 = 0. Calculate w.\nAnswer: -6, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.238 times -3411?\nAnswer: 811.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 298*p**6 - 335*p**2 - 2?\nAnswer: 35760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.28 + -2.28812. What is g rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2 - 104412261*z - 104412258.\nAnswer: -3*(z + 1)*(z + 34804086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -7*y - 3. Let t be z(2). Let m(g) = g**2 + 13*g - 16. List the prime factors of m(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 0 = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c - 4 + 4 + 29*c**2 + 0*c.\nAnswer: 29*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s + 3. What is the tens digit of b(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33\/(-1177*36\/(-24)).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-1890)\/(-20))\/(9400\/(-160) + 58)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.186, 1, 10.3, -3, -0.4.\nAnswer: -3, -0.4, 0.186, 1, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1681, 0.4, 5\/19, -3, -1\/25, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32 in -97, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6  (b) 0.3  (c) -14  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 59263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of f**4\/8 + f**3\/2 + 18*f**2 + 2. Let x(r) = -r**3 - r**2 + 9. Let t be x(0). Suppose -2*b = -1 + t. Determine m(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4212 times -5\nAnswer: -21060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 20. Suppose 2*r + m = 13. Let g be 7 - 4 - 10\/r. What is the second smallest value in -3, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -423 + 931*j + 423.\nAnswer: 931*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5320 = -13*m + 868. What are the prime factors of m?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -176534 divided by 1703.\nAnswer: -176534\/1703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - m - m)*(-97 + 93 - 20*m**2 + 167*m**2).\nAnswer: -294*m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + 0. Suppose 0 = -7*u + 1 + 41. Suppose -u*j - 16 = -14*j. Calculate the smallest common multiple of f and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567)*-1*-4.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 3:36 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 3:43 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of h**5\/8 + 45*h**4\/2 - 275*h**3\/3 + 2*h + 1732. Let m(q) = 0. What is q?\nAnswer: -110, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o + 17*o = 34*o - 120 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1874 - -20591\/11. What is the common denominator of s and -89\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 1119*g - 1114*g - 25, 4*o + 3*g = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*750.\nAnswer: 6750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 524.0349 litres?\nAnswer: 524034.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 982 is divided by 163.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 37121923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h + 5. Let q be b(0). Suppose 4*g = -3*c + c + 38, -q = -c + 5*g. Let a = 7 - 4. Solve 4*d = -a + c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -7.09. Let q = y - 0.01. What is the nearest to -1 in q, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -952 * 2.5339.\nAnswer: -2412.2728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2.4 times 2\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 533 + 187\/11 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14125679.\nAnswer: 14125679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 18330 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.2092139 to 1 dp.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12328 + 36493\/3. Let q = -165 - y. What is the biggest value in q, 3\/8, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 66*v**2 - 80*v - 35. List the prime factors of d(68).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/40 in -243\/2, -2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-4*(sqrt(17) - (-1*sqrt(1377) + sqrt(1377)))**2.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 958*x**2 + 30*x. Let i(y) = -959*y**2 - 26*y + 1. Let c(s) = -2*i(s) - 3*j(s). What is the second derivative of c(l) wrt l?\nAnswer: -1912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23*w**3 - 82*w**2 - 22*w + 516512 wrt w.\nAnswer: 69*w**2 - 164*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a + 2*a - 2*a)*(0 + 0 - a)*(-1316*a - 2543*a + 1133*a) to d + i*a + t*a**2 + f*a**3 and give f.\nAnswer: 2726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 102.5 + -102.92. Let z = -436911.72000114 - -436911.3. Let i = v - z. Round i to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 7) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 69378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -2, 0.12.\nAnswer: -2, 0.12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4083 + 12*r**3 - 7506 - 6*r**3 + 3423.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -60919 - -60916. Let r = 137 + -77. What is the closest to 2\/5 in -0.5, u, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -6, -29, -54, -81, -110?\n\"Answer: -q**2 - 20*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42126 and 6462801.\nAnswer: 1538146638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 161793\/50 + -3236. Find the common denominator of o and -12\/115.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -v - 4*h, 7 = -2*h - 1. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1086770.\nAnswer: 2, 5, 108677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.02092 - -0.02092. Which is the nearest to 1\/3?  (a) 0  (b) 7  (c) g  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -622, -1061, -1792, -2815, -4130, -5737, -7636?\n\"Answer: -146*b**2 - b - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1530100 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 times -0.3?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-16)*(5888\/23)\/(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 51 = 5*x - 15 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2693 by -2.\nAnswer: -2693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 831 a factor of 1262645195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -126*a**3 - 8*a - 8. Calculate the smallest common multiple of f(-1) and 3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1\/4)\/h*h**(1\/4)*h**5*h**0 assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(-1*sqrt(189) + sqrt(189)))\/(sqrt(405)\/sqrt(5)))\/((sqrt(7) + sqrt(7) + sqrt(7)*1*-5 + sqrt(7) - (sqrt(7) - sqrt(28)*1))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5226, -5286, -5348, -5412, -5478, -5546, -5616?\nAnswer: -5688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7\/(-3) + -1)*3. Let c be (-5)\/q + 10\/4. What is the second derivative of g - 7*g**4 + 0*g - c*g wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 a when four letters picked without replacement from {a: 5, l: 5, s: 2}.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*i - 12*i + 8*i**4 + 3*i**4 - 8*i wrt i.\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1516380 is divided by 4724.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/9  (b) 123\/26  (c) -2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*p**3 - 2*p**3 - 3*p**3 + 2 - 1 to v + m*p**3 + c*p + x*p**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/2, 4, 2, -6\/7 in decreasing order.\nAnswer: 4, 2, -6\/7, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 1576 = -4*f. Let d be (f\/93)\/((-2)\/(-3)). Let s = -5601\/248 - d. Find the common denominator of 101\/4 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**0\/l*l)**(-1\/71)\/(l**(4\/5)*l*l*l**(-12)) assuming l is positive.\nAnswer: l**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2889*y**2. Let g(m) = -83*m**2. Calculate h(g(x)).\nAnswer: -19902321*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of 0*z**3 - 3*z**2 + 0 - 1\/112*z**8 + 0*z + 2\/35*z**7 - 1\/8*z**6 + 1\/10*z**5 + 0*z**4. Factor q(d).\nAnswer: -3*d**2*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125 * -0.547006\nAnswer: -68.37575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-135548)\/(-8) + 1)\/(1\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from bbbrbbbrrbbbbrbrbr.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 432*l - 431*l + 363678 = 0, 2*s + 2*l = 363666. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 25\/(-5) + (411 - -10). Let d be (v\/(-1196))\/(0 - 2). Suppose 0*f + 0 + 10\/23*f**3 + 2\/23*f**5 - d*f**2 - 8\/23*f**4 = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10290995 (base 10) to base 2.\nAnswer: 100111010000011100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 8:17 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 7*u + 3*u)*(-1 - 2 + 0).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1955744249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 172*c - 4585. Let y be j(-33). Solve -10 = -2*a - k - 17, y*k - 31 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -438 = -3*f + 3*z, -3*f + 8*f = 2*z + 724. Is f > 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -86.312 to 0 decimal places.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7943 rounded to the nearest 100?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-6 + 1 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 166547550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 not equal to -487\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 592071717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34534776?\nAnswer: 2, 3, 23, 62563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/(-3) - 189*(-1 - 0). Suppose -154*c + 156*c = -u. Let d = -65 - c. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1299400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.051124285 rounded to 4 decimal places?\nAnswer: 0.0511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/((2 + -3)\/33). Suppose -4*o + d = -o. What is the least common multiple of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - (-2)\/((-8)\/(-5)). Let v = -31182 - -31182. What is the closest to 1 in 0.5, c, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4672285 from 1018871.\nAnswer: 5691156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3725737.1 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.726 + 4.\nAnswer: 3.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v + 39. Let z be x(-12). Suppose 146 + 103 = z*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 4 - 4 - g**2 - 5*g + 1. Let z be q(-5). Let r be 2\/(-40) - z\/5. Put -0.3, -3, r in descending order.\nAnswer: r, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 0.01474.\nAnswer: 0.00737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -658 + 660. Solve -4*h - 8 = -s*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3431634 <= 3431558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/172 and 41\/516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 14*q**2 + 13*q - 25. Let w be x(-15). Suppose -18*s = -13*s - w. Solve -3*l + s = -5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b + b - 17*b**4 - 2346*b**2 + 2346*b**2 - 2*b**3 + 1 in the form r*b + d*b**4 + o*b**2 + a*b**3 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 125*j**4*r + 142*j**4 - j**3*r - 3*j**3 - 2106*j**2*r + 2*j**2 - 19*j*r wrt j?\nAnswer: 3000*j*r + 3408*j - 6*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -276 divided by -69?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30 - -34. Let g(z) be the first derivative of l*z**2 + 231*z - 228*z + z**3 - z**2 - 6. Let g(h) = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 8:24 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 5 = -11. Solve -y*k + 4 = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 243 and 1332?\nAnswer: 35964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + u = 13, -5*x + 5*u - 163 + 158 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -j*k**2 - 36893910*j*k - 2*j - 670129303*k**2 wrt j.\nAnswer: -k**2 - 36893910*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*z**2 - 4)*(57 + 15 - 2)*(3 - 1 - 1).\nAnswer: -140*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -10*g - 7. Let c(m) = 15*m + 11. Let x(v) = 5*c(v) + 8*r(v). Let s be x(-2). Suppose s*y - 4*y = 75. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -46.8 + 46.8. Let s = 8 - 9. Let p be s\/(1\/(2 + -1)). Which is the closest to p?  (a) i  (b) -0.5  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, -2, -35, -102, -215, -386?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/10 - -3222*201\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((105\/378)\/(10\/56))\/(390\/(-1755)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1341927, 2683852, 4025777?\nAnswer: 5367702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {v: 4, x: 1, j: 4, t: 5, q: 5}.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -246\/13 - -1837\/117. Find the common denominator of -41\/11 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t - 2*c - 2*c - 16, -t + 3*c = -14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/4*24\/18. Let x = a - -3. Suppose -13 = -x*k + 7. Solve -k + 1 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7604 divided by -2994?\nAnswer: 3802\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 11:08 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 598\/21 and 29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(81)\/sqrt(3)*5*-3 + -2.\nAnswer: -2 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m**2 - 6. Let g be d(6). Let a(f) = -5*f**3 - f**2 + 8*f - 9. Let t be a(2). Let w = t - g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, f: 5, c: 2, j: 4}. Give prob of picking 1 c, 1 f, and 1 n.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1172 - -1430. Is 41 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from bqbbvbbqbpbbqbpb.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 1228.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) -0.2  (b) 2\/15  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10293 - 10292.9841454. What is b rounded to four decimal places?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/22759 and 36\/10345.\nAnswer: 113795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, r: 4, w: 2}. Give prob of sequence rr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 49*n**2 - 1666*n - 2. Let a(t) = -4*t. Determine a(k(b)).\nAnswer: -196*b**2 + 6664*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 23*h + 123. Let v be a(-18). Let y be 7*v*(13 + -12). What is the highest common factor of 42 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 83049.24 decades?\nAnswer: 830492.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of -r**4\/4 - 5*r**3 - 2*r + 8. Let d be a(-15). Is (d - 1) + (-200)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-7) - (-34)\/(-70). Let m = -9 + 6. Let i be (-1)\/m - 24\/18. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12716, -16657, -20598, -24539?\n\"Answer: -3941*l - 8775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 2*g**3 - 1. Let j(f) = f + 3. Let p(v) = 4*v + 10. Let z(k) = -10*j(k) + 3*p(k). Give q(z(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 180846440 rounded to the nearest one million?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -210, -209, -208?\n\"Answer: a - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104095 and 573?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 893919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81\/(-135) + -2*(-1)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffzfzfffzf. Give prob of picking 2 f.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 121 - ((-1 - -8 - 32) + 39).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 10 = -7*f + 6*f, -28 = -4*x + 2*f. Suppose 15*j = x*j + 9. Solve 0 = 4*v - 3*s - 35, s - 19 - j = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111536 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4495139 to the power of 1\/2, to the nearest integer?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10215, -40774, -91699, -162996, -254671, -366730, -499179, -652024?\n\"Answer: -g**3 - 10177*g**2 - 21*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25132180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*l**4 + l**4 + 4*l**4 + (-l**3 + l - l)*(-l + 4*l - 2*l) + (4*l**4 + 10*l**4 + 6*l**4)*(0 + 0 + 6) as c + s*l**2 + h*l**4 + j*l**3 + z*l and give h.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33968?\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + o. Let m be f(0). Let q be (1 - 3\/2)*m. Let z be (2\/4 + 0)*-2. Sort z, q, 4.\nAnswer: z, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 14.7, -12\/31 in descending order.\nAnswer: 14.7, -12\/31, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -313, 1\/2, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*12\/9 + -3. Suppose -5*f + 11 = -4. Suppose u - 83 = -f*s. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 5*w = 2*u - 5, -5*u - 3*w + 16 = 0. Calculate the highest common factor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 221*w - 26. Does 16 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1232 rounded to 1 dp?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r - 7. Let m(x) = 2*x - 10. What is 3*m(s) - y(s)?\nAnswer: 4*s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -358 - -362. What is the second derivative of -12*o + 3136*o**4 - b*o - 7*o - 3174*o**4 wrt o?\nAnswer: -456*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + (1725*8 - 4). Round d to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -2 - (67 + (-53 - -12))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 10:19 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 4, v: 3, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 89487656123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 16 - 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -88*7\/(-14) - (71 - 78 - (2 + -14)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**3 - 115*f**2 - 28165*f + 28275.\nAnswer: 5*(f - 87)*(f - 1)*(f + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.06  (b) 1  (c) -2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 855*x + 17. Let j(m) = -706*m - 17. Calculate 4*j(s) + 3*l(s).\nAnswer: -259*s - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 0, 4, -2\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -3*z**2 - 1\/20*z**5 + 35*z + 0 - 2\/3*z**3 + 1\/2*z**4. What is y(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1487008 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mtmhugtggstsm. Give prob of picking 1 m and 1 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 4*q = 1112, q + 1855 = 5*a + 6*q. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/3))**(19\/3))**(-2\/111)*((f\/(f*f**(-5)*f)*f)\/f*f**(2\/11)*f)\/(f**(-3)\/f**(-1)) assuming f is positive.\nAnswer: f**(78503\/10989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 315 in -3, -6, 1\/5, -2\/53, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wyyo when four letters picked without replacement from {y: 3, w: 4, o: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/7, -0.6, -24, -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -1 + 1 + (15 - (34 - 21)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -2*d**5 + 48*d**4 + 2094*d**3 - 26068*d**2 + 68208*d = 0.\nAnswer: -29, 0, 4, 7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/108*((-27)\/(-36))\/(1\/(-20))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u - u**2 - 7 + 8 - 2*u. Let b(h) = -h + 10. Let k be b(-7). Let s(a) = -3*a**2 - 12*a + 3. Let q(f) = k*t(f) - 6*s(f). What is q(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -105.3038 to one decimal place.\nAnswer: -105.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -16*p**2 + 2*p + 3. Let m(s) = 1834*s + 16504. Let n be m(-9). Give q(n).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -10*3*(4 - 52\/12). Suppose 5*l + 3*r = -16450012, 0 = 14*r - s*r + 16. What is l rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, x: 3, m: 2, k: 1, v: 1, p: 10}. What is prob of sequence vmsx?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70959*r + 28 = -2*y + 70957*r, 3*y - 16 + 53 = 2*r for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.637 + 0.637. Which is the nearest to i?  (a) -5  (b) -2\/5  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/28 and 127\/7227084.\nAnswer: 50589588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 56 + 18 = 3*i, 5*i - 2*w + 66 = 0. Let z = i + 163. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 720286081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1004.1*121.\nAnswer: -121496.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**2 + 10*g - 7. Let q be i(-4). Let t = 103 - 94. Put 4, q, t in ascending order.\nAnswer: q, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -814 or -816?\nAnswer: -814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56 and 7401620.\nAnswer: 103622680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 626298 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1336, 1405, 1568, 1873, 2368, 3101?\n\"Answer: 8*p**3 - p**2 + 16*p + 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 400.628 to the nearest integer.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00019059 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12361768?\nAnswer: 2, 67, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 11 = -5*p, 5*f + 658 = 4*p + 641 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 - 169897002*p + 7216247822147001.\nAnswer: (p - 84948501)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 390600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4635158 - -1.5.\nAnswer: -4635156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*l**3 - 9*l**3 + 5*l**3 - 10*l**3 - 11*l**3.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2.06662?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 55*z**2 - 3*z + 1. Let d(o) = 2*o**3 + 59*o**2 + 3*o - 2. Determine 5*d(f) + 6*u(f).\nAnswer: 4*f**3 - 35*f**2 - 3*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 0.97. Let s be 18\/(-15) - 8\/(-10). Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -571*h - 3955 + 529 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2 - (7 + -106))*17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25895*n - 21175 + 7062 + 7056 + 7059)*(n - 2*n - 2 + 0*n).\nAnswer: 25895*n**2 + 51788*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4538175 to the power of 1\/2, to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-10) + 62\/(-155). Solve i = -2*h - 5*c + 23, -3 = -3*c + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 230 (base 5) in base 3?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 36954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25441 - 15.8423823.\nAnswer: -25456.8423823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5, -1, -13, -31, -55, -85?\n\"Answer: -3*h**2 + 3*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-6*2*sqrt(187))\/sqrt(11) - (-1 + ((sqrt(136)\/(sqrt(8) + -1*sqrt(8) - sqrt(8)))**2 - sqrt(17))))*-4*6.\nAnswer: 768 + 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178 a factor of 6797060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/5)\/(a\/(a*a\/a**(-1\/4)))*a**(3\/4)*a\/(a**(-3\/2)\/a*a))\/((a**(-1\/3))**(3\/41))**29 assuming a is positive.\nAnswer: a**(2217\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.412 + -538.412. Let z = k + 538.00119. Round z to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + k - 6, -2*t = -k - 7. Let q be 95\/15 - t\/6. Let n be ((-80)\/q)\/(8\/(-600)). Round n to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -39585090*f**3 - 10152*f**2 + 2445*f + 5 wrt f?\nAnswer: -237510540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 3)*(-3 + -374 + 5). Let l = c - 4090\/11. Factor l*z**3 + 0 + 0*z - 2\/11*z**2 + 2\/11*z**4 - 2\/11*z**5.\nAnswer: -2*z**2*(z - 1)**2*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 3*y**4\/7 - 32469*y**3\/7 - 8364330*y**2 - 4706442468*y - 869268693384 = 0.\nAnswer: -546, 12461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of -1\/6*f**3 + f**2 - 1\/4*f**4 + 0 + 0*f. Let y be v(-2). Solve -35 = -5*a - 2*x, -3*x + y = -4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 248 divide 230189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2016 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5182.57s to microseconds.\nAnswer: 5182570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 54215*f**3*w**3 + 491*f**3*w**2 - 30*f**2*w**2 wrt w?\nAnswer: 325290*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-224)\/1260*-9*(-145)\/(-406).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2835)*-5)\/(sqrt(14)\/(sqrt(2)*-3)).\nAnswer: 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 173051919 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 1)*(-2 + 2 + v)*(-1 + 3 - 4) - 3 + 2*v + 3.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 218965 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*v**3*y**2 - 276*v**3 - 31*v**2*y**4 + 2*y**2 wrt y?\nAnswer: 4*v**3*y - 124*v**2*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -5892*v + 147301. What is b(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4581433471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -x + 2. Let u(s) = -20*s + x + 0 + 1 - 7. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or 0.0215?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 15*q = 444. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -12*j**2 + 1. Suppose 14*v - 9*v = 20. Suppose -4*q = -0 - v. Determine i(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of -44*t**3\/3 - 3*t**2\/2 + 3*t - 2781. Let j(i) = 2419*i**2 + 164*i - 164. Determine -3*j(d) - 164*k(d).\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f - 97*f**5 + 464*f**2 + 943 - 830 - 113 wrt f.\nAnswer: -5820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-129*a**2 - 219*a**2 - 841*a**2 - 81*a**2)*(2*a + 9 - 9).\nAnswer: -2540*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -3*j + w, -2*j + 233*w + 238 = 243*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*s - 183*s - 643 = 1611 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -30*x + 2. Let f(d) = -15*d + 1. Calculate -10*f(q) + 4*w(q).\nAnswer: 30*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626492006?\nAnswer: 2, 7, 44749429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 4*o + 4. Let d be z(3). Let l be d*((-9)\/3 - -2). Is 5 a factor of (-19)\/((l + 0)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -318 + 320. Let t(w) be the third derivative of -5\/6*w**3 + 0*w + 0*w**4 + 1\/12*w**5 + 0 - 4*w**p. What is the first derivative of t(k) wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 7*c**2 + 7*c. Let y be j(6). Let h(z) = z**3 - 6*z**2 - z + 2. Let k be h(y). What is the least common multiple of 0\/k - (-14)\/2 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (28\/35)\/((-3)\/15 - 0). Let i be 12\/9*-3 - f. Which is the smallest value?  (a) i  (b) -3  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4195 + 4198. Let i(m) = 23*m**3 - 3*m**2 - 3*m. Let p(t) = -23*t**3 + 2*t**2 + 2*t. Give c*p(g) + 2*i(g).\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7721\/2 + -3867. Calculate the common denominator of 5\/268 and w.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 40806.16 * 3.\nAnswer: 122418.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 56.95 - 60. Let h = l + 0.05. Suppose 13*v - 14*v - 8 = -2*q, 4*v - 4 = -4*q. Which is the smallest value?  (a) h  (b) -0.1  (c) q  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.7 + -42.7. Let y = 39 + p. Let m = -25\/24 + 3\/8. Which is the nearest to 1\/4?  (a) 0.2  (b) m  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.14 rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8aafe + 0?\nAnswer: -8aafe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 2\/3)\/(2\/(-6)). Suppose 7*x - 12392 = 3*x + 3*u, l*x + 4*u - 6196 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 62*h**5 + 2*h**4 + 2*h**2*u - 167*h*u + 2*u + 2 wrt h.\nAnswer: 1240*h**3 + 24*h**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 304120, 303937, 303754, 303571, 303388, 303205?\nAnswer: 303022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -28*w**2 + 2*w + 1. Let t = 9444 - 9446. What is b(t)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/(-4))\/((-9)\/246))\/(147\/441).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2.23 or -1\/890?\nAnswer: -1\/890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 224 - 2462\/11. Suppose z = 4*z. Which is the second biggest value?  (a) z  (b) i  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21023 (base 4) in base 9?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36947837.\nAnswer: 19, 53, 36691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -26562, -26422, -26210, -25944, -25642, -25322, -25002, -24700?\n\"Answer: -3*c**3 + 54*c**2 - c - 26612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*l + 44*l + 528 = 0. Let s = l + 3169\/12. Which is the second biggest value?  (a) s  (b) 0.4  (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 2*x + 1. Let g be j(-3). Suppose 3*m + m - g = 0. What is the remainder when 2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + sqrt(85)*-2))\/sqrt(5)*4 + sqrt(119)\/(sqrt(21)\/sqrt(3)*-5).\nAnswer: 39*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 630445732 is divided by 1004.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5981 + -6010. What is the closest to -0.2 in 5\/8, 3, v?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 4*f = -4*f. Let u be -5*(0 - 28\/(-10)). What is the units digit of u\/(f - (-4)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/321300 and 34\/1575.\nAnswer: 321300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.79 - -0.78782. Round s to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(11) + 2 + sqrt(22)\/sqrt(2) + sqrt(5500)\/sqrt(5)).\nAnswer: 8 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 34 = k, 4*k = -1374*p + 1372*p - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (315\/126)\/(2\/436). Is 544 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 7, 3, -11, -1 in decreasing order.\nAnswer: 7, 5, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/268, 2\/3, -4, -2\/9, 4 in increasing order.\nAnswer: -4, -2\/9, 1\/268, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - 2*o**2 + 4*o + 2. Let s(i) = -2*i**3 + 4*i**2 - 9*i - 5. Give -4*s(v) - 9*w(v).\nAnswer: -v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of n**5\/210 + n**4\/12 - 10*n**3\/7 + 2*n**2 + 10. Factor d(c).\nAnswer: 2*(c - 3)*(c + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4725, -4789, -4961, -5295, -5845, -6665, -7809?\nAnswer: -9331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 33 + 27. Is 505\/2 - (2 + l\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-5) + 42\/10. Suppose 0 = -2*j + y*r - 13, r = -j - 2 + 13. Suppose -130 = -j*o + o. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + -2*sqrt(1008) - 6*sqrt(1008)*-1)**2 - (4 + (2*sqrt(1008))**2 - ((3 + sqrt(1008))**2 + -4))) + 5.\nAnswer: 264*sqrt(7) + 13114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(12\/((-36)\/(-6))). Factor 15*n - 9 - n**g - 8*n - 17*n.\nAnswer: -(n + 1)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 155*u + 5769. Let r be w(93). Factor 12\/25*a**r + 2\/25*a + 2\/25*a**5 + 0 - 8\/25*a**4 - 8\/25*a**2.\nAnswer: 2*a*(a - 1)**4\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 13*p - 16. Let s be a(11). Suppose l - 13 = -c, -30 = -2*c + 4*l - 4. Let t(b) = c*b - 8*b - s*b. Let z(n) = 2*n**2. Calculate z(t(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of 7*l**4\/12 + 23*l - 4. Let k(v) = -2*v**2 - 9*v. Calculate k(x(j)).\nAnswer: -98*j**4 - 63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4*m. Let s(h) = -7*h**2 - 4*h. Let v(n) = -20*n**2 - 11*n. Let w(g) = 11*s(g) - 4*v(g). Give w(r(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5049 and 157539?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 - 1)*(-19 + 42 + 48*f - 21).\nAnswer: -192*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.9338 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 0  (c) 5  (d) -2  (e) -10924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**0)\/a)**(12\/5)*(a\/(a*a**(-4)))\/((a**(1\/9)*a)\/a) assuming a is positive.\nAnswer: a**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-6)*136\/170\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -7*u**3 + 5*u**2 + u + 14. Let h(m) = m**3 - m**2 + m - 2. Let p(l) = 5*h(l) + v(l). Factor p(f).\nAnswer: -2*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 614 is divided by 600.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 + 15 + -6)\/(7\/(-2)) + (-120)\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1501642.34 rounded to the nearest 10000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -5*s - 105, 3*s + 17 = -2*k + 6*s. Let r = -8 - k. Suppose 2 = -0*w + w, -2*w = -o + r. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 45*l*w**2 + 615*l*w + 4*w**2 + 2*w - 2 wrt w?\nAnswer: 90*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -931 - -926. What is the fourth smallest value in s, -0.1, -4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023179093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2359 and 213658.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.72 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -13540819.2 plus -6.6278?\nAnswer: -13540825.8278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 1033*g + 1028*g + 1 - 5*g**2 as x + p*g**2 + i*g and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4170\/(-18765)*18\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(4 - (-18)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*l = 21*l + 234. Let u = 46 - l. Let x be (-2 + u\/24)*(-1948 - -1). What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o + 1. Let l(w) = -w**3 - 48*w**2 - 3*w - 3. What is -3*c(x) - l(x)?\nAnswer: x**3 + 48*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 - 17. Suppose 3*c = c + 9*c. Let z(n) = 5 - 2*n + 2*n + c*n + n. Determine z(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 392 and 205688?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 2*h**2 + 2*h - 3. Suppose j + 3*j = -z + 2, 5*j = 5*z - 10. Let a be r(z). Calculate the least common multiple of 22*((0 - a) + 2) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16043858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 100807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 8234.666 centuries?\nAnswer: 823466.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 505 + -511 - (-6 - (15 - -7))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5040 = -2*g + 3*v + 5038, 9 = 5*g - 4*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 76 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 927287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 - 9*n - 6. Let o(i) = 9*i + 1. Let s be o(1). Let z be k(s). Suppose z*u - 90 + 6 = 0. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/981080 and 37\/78640.\nAnswer: 1928803280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 114*q + 703. Determine k(120).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1364898.5 rounded to the nearest ten thousand?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-155)\/(-31))\/((-580)\/(-8)))\/(1*-1)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -245 + 244.9. Let p = d + 0.4. Which is the third smallest value?  (a) -2\/15  (b) 87  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 - -44. Let l(k) = -5*k**3 + k + 1. Suppose 46*w + 228 = 52*w. What is the lowest common multiple of l(p) and w?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + c. Let d(n) = 8*n**2 + 13*n. Suppose 0*s - 4 = 4*s. Let z(o) = s*d(o) + 3*k(o). Factor z(t).\nAnswer: -5*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1, 18, 59, 136, 261?\n\"Answer: 2*h**3 + 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of -i**3\/6 + 3*i**2\/2 - 3*i. What is n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -8 - ((-138)\/(-6) - -1). Sort 1, i, 2 in ascending order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2304 and 19.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 39\/13 - ((-4)\/20 - (-124)\/20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 27985*s - 27973*s. Which is bigger: s or -150\/227?\nAnswer: -150\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 - d - 15. Let a be (-6)\/(-10) + (-6)\/10. Let w be v(a). Calculate the remainder when (-519)\/w - (-15)\/(-25) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -4, 5*h + 0*w = -3*w + 147. Suppose -h + 20 = -2*g, -913 = -3*t - 2*g. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 159686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = -2*n - 5*i + 97, -n + 14 = -2*i. Put n, -2, -611 in increasing order.\nAnswer: -611, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 3*r + 2*r**2 - 1 + 2*r**2 - 7*r**2. Let y be m(-3). Let x = -10 - y. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-6))\/(-1)*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(648) - (sqrt(18) + sqrt(18) + (sqrt(18) + sqrt(18) + sqrt(36)\/sqrt(2) + -5 - sqrt(18)))) + 5)**2.\nAnswer: 120*sqrt(2) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -64.42 - -72. Let r = i + 1.02. Let d = r - 13.6. What is the closest to -1 in d, -3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100100 (base 2) in base 5?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -11, -22, -14, 334 in increasing order.\nAnswer: -22, -14, -11, 0, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1575*p - 2 - 1569*p - 8 + 3139*p.\nAnswer: -5*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 9}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -213, -0.2, 3 in decreasing order.\nAnswer: 3, -0.2, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 30774 = -59*y + 11076. 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 i = 0.2 - 0.2. Let o = -0.2 - i. Let b = 2 + -3. Is b less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 (base 9) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 43701 and 111?\nAnswer: 1616937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -286de (base 16) to base 13\nAnswer: -5a4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.3257833mg?\nAnswer: 0.0003257833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -125*w**2 - 180 - 2*w**2 + 182 as z*w + v*w**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of q**5\/60 + q**2. Let p(b) be the first derivative of b**3 + 5*b + 1525. Determine p(r(n)).\nAnswer: 3*n**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6449*h**3 + 3*h**2 + 696*h wrt h.\nAnswer: 38694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7344 - 7342. Solve 21*x - 24*x + 24 = 5*g, -15 = -b*x - 3*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4634 is divided by 330.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 4*f + 2. Let z be o(-4). Let p(a) = 0 + 18*a**z + 1 - 1. Does 6 divide p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 + 7723946*o - 7723948.\nAnswer: 2*(o - 1)*(o + 3861974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**3 - 35*n**2 - 227*n - 40. What is the tens digit of i(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1600 + -1600.5. Which is the nearest to -1?  (a) 0.4  (b) -4  (c) o  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/8 - (-2 + 1). Let l = 167384\/15 - 55793\/5. What is the biggest value in -3, z, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(2\/121)*c*c**(-32))**(-35) assuming c is positive.\nAnswer: c**(127120\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a milligram in micrograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000344234926 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -6*l**2 + 87*l + 113. What is y(21)?\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 693 - 2771\/4. Let j = 134\/15 + -43\/5. What is the nearest to v in j, -1\/13, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-14)\/2 + (-1 - 1) + 5. Let b be l*(-3)\/18 - (-117)\/27. Solve 2*c + 3*c = b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**5\/4 - 27*u**4 + 65*u**3\/2 + 572*u**2 - 129*u\/4 - 545 = 0. What is u?\nAnswer: -109, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 6*j**2 + 4*j - 11. Let l be o(2). Let x = l + -27. Let m = 21 - 21.1. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: e05 (base 15) to base 4\nAnswer: 301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*f**2 + 65*f**2 - 52*f**2 - 77*f**2.\nAnswer: -153*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 5*k. Let w(a) = -36*a**2. Calculate w(u(j)).\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 3:47 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2198528 is divided by 1099251.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*d + 120 = 0, -5*g + 112 - 2 = 5*d. What is the remainder when 1887 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -838 + 835.008. Let p = -3 - z. Round p to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i + 3. Suppose -2*l = -6*l. Let c be w(l). Suppose 0 = c*s + 2*s - 15. Put 4, -2, s in ascending order.\nAnswer: -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 43 = 5*t, 5*t - 2*x - 28 - 18 = 0. Let y = -6 + t. Calculate the greatest common divisor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26.198 + 0.202. Let v = -26.39738 + n. What is v rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -5\/498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -3) + -18 + 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-108)\/10)\/(1*(-3)\/15). What is the highest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**3 + 0 + 0 + (4*x - 3*x - 4*x)*(2*x**2 - 3*x**2 - x**2) + 8*x**3 - 5*x**3 - 12*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.02354 - -5.02354. Which is the nearest to 2\/7?  (a) h  (b) 0  (c) -3  (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) 1925  (c) 6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -14\/3, -2\/7, 2.8 in increasing order.\nAnswer: -14\/3, -0.5, -2\/7, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 0*h + 4*h)*(-12*h**3 + 14*h**3 - 12*h**3) + (3*h**2 + 0*h**2 - h**2)*(0*h**2 + h**2 + 0*h**2).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, i: 2}. Give prob of sequence iig.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o + 7*o + 40*o**2 - 37*o**2.\nAnswer: 3*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/2 + (-36)\/8. Let x be (6\/u)\/(6\/8). Suppose 0 = -3*k + 5*n - 3, 4*k + 3*n - 8*n = -4. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 9*s**2 - 5*s + 69. What is the smallest common multiple of 30 and b(9)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -6 - (14 - 4 - (25 + -10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 4 = f. Suppose -17*c = -f*c - 348. Suppose -c = -6*d + 2*d. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 880 = 155*k - 205. Solve -39*t = -44*t + 20, 3*d - 2*t = k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + sqrt(10)*-1*2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 229080.18 months to years.\nAnswer: 19090.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**3 - 2*k**2 - 4*k + 4. Let g be u(2). Suppose -g*c + 3*s = 7, 0 = -3*c - 2*s - 0*s + 16. Solve 21 = 3*t - c*t - 4*b, t - 17 = 3*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -84 + 89. Let k = -13617582 + 13617576.99999889. Let b = y + k. What is b rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvncvvcrvvvvvvgvvn?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -3 + 1 + (-1 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 13*b**2 - 5*b + 24. Let y be m(3). Calculate the greatest common factor of y and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 11:11 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + 0*o + 4*o)*(32*o - 1 + 2 - 18*o).\nAnswer: 56*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, w: 4, r: 1, e: 1, b: 4}. What is prob of sequence bm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -349 divided by 481.\nAnswer: -349\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1416, 1391, 1358, 1317?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 0 + 0 + 56\/12. Let o(l) = 14 + l**2 - 13*l + l - 2 + 2*l. Let r be o(9). Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1992.2410147 + 1992.396. Let d = -0.155 + v. What is d rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 4*g + 88 = 0, -1944 = -t + 3*g - 1888 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*s**2 + 18*s**2 + 54*s**2 + s**3 to i*s + a*s**3 + m + z*s**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10160, -20320, -30476, -40628, -50776, -60920, -71060?\nAnswer: -81196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 3\/7  (b) 0.4  (c) -4  (d) 75164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*w + 13*w + w**3 + (6*w - 6*w - 13*w)*(-w**2 + 2*w - 2*w).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11988592 and 21616.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 8  (b) -5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-7) + (-27)\/21. Let t(p) be the first derivative of 25*p**3\/3 + p**2\/2 + p - 39. Calculate the remainder when t(d) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -507396, -4059287, -13700132, -32474409, -63426596?\n\"Answer: -507413*o**3 + o**2 - 3*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-96)\/(-54) - (-2)\/9. Let v(a) = -a + 11. Let r be v(8). What is the third derivative of -2*c**2 + 2*c**3 + r*c**3 + 3*c**2 - w*c**3 wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11\/9?  (a) -0.1  (b) 4\/261  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2)*p**(-5)\/p*p**(-5)*(((p*p**(-1\/6))\/p)\/p*p*p)\/p)\/((p**(2\/3)*p**2\/p)\/(p**0*p*p)**(-26)) assuming p is positive.\nAnswer: p**(-401\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19*k - 318 + 318)*(-k**2 + 3*k**2 + k**2)*(5 + 1 - 4) to the form l*k**3 + x*k + a*k**2 + q and give l.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 182234*j. Let c(f) = 18*f**2. Calculate q(c(s)).\nAnswer: 3280212*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3319, 13244, 29785, 52942, 82715, 119104, 162109?\n\"Answer: 3308*i**2 + i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 130  (c) 44263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -12*v**2 - 52*v + 142. Let f(a) = -2*a**2 - 2*a - 1. Let z(p) = 5*f(p) - h(p). Give z(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/50078 and -125\/882?\nAnswer: 450702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5355, 10683, 16011, 21339, 26667, 31995?\nAnswer: 37323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 258563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, h: 1, y: 1, q: 1, w: 1}. What is prob of sequence yh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + -3359.\nAnswer: -3358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -31303 and 4.\nAnswer: -31299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 - 0\/(2 + -3). Do k and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 354957 and 3759?\nAnswer: 2484699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3490571 decades to centuries.\nAnswer: 0.03490571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -423 - -296. Suppose -73 = -4*i + 163. Let u = l + i. Round u to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18131 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 0.3458.\nAnswer: -0.1729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 130, 2, -0.4, 1\/5, 1\/2, 1 in decreasing order.\nAnswer: 130, 2, 1, 1\/2, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -135043, -135120, -135263, -135484, -135795?\nAnswer: -136208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/3 - 4324844*w + 7014103359126.\nAnswer: 2*(w - 3243633)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -271 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 2 m, and 1 z when four letters picked without replacement from imzdirimzzizrizzm.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 64 = -2*i, 48 = 3*z - 7*i + 5*i. Suppose -28770 = -z*c + 25454. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 - (90 - 17)) + 5 - 32.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + 5*p - 10. Let b(c) = -2*c - 17. Let a = -25 - -20. Let x be b(a). Let v be t(x). Solve -w - v = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71 + 73. Suppose g*s - 178 = s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28391178 is divided by 9463675?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 6*t - 1. Let z(k) = -2*k**2 - 34*k + 2. Let b(s) = -5*y(s) - z(s). What is b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3664466 (base 7) in base 8?\nAnswer: -1625463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 1213123320?\nAnswer: 1213123330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 + 7*t**2 - 16*t + 51. Let l be q(-9). Is (-1 - 348\/l)*-11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(2\/7))\/z**(2\/19)*((z**(-2)\/z*z)\/z)\/z**(4\/5))\/(((z**(-6)*z)\/((z*((z*z\/(z*z**(-1\/2))*z)\/z)\/z)\/z))\/(z**(-2\/5))**9) assuming z is positive.\nAnswer: z**(-1717\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -3*y**2\/2 - 3. Let m(x) = -7*x**2 - 11*x - 11. Let h(j) = 4*j**2 + 6*j + 6. Let g(p) = -11*h(p) - 6*m(p). Calculate o(g(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 22*u + 4. What is the smallest common multiple of 16 and o(-22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1201033 (base 5) in base 4?\nAnswer: 11120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 11*c**3 - 3*c**2 - 425*c - 1262. Calculate n(-3).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -26*x - 261. Calculate j(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -82 * 0.3\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000052419 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 13. Let d be b(15). Suppose -d*l + 0*l + 633 = 5*c, 3*l + 3 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 336, 673, 1010, 1347, 1684?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzpp when four letters picked without replacement from {z: 4, i: 2, p: 2, m: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 1\/2, -17, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2263250472 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2, 0, -4, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 88 = -2*d. Suppose -g - 5 = -d. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of w**5\/120 - w**4\/2 - 29*w**3\/3 + 5*w - 7. Let i(v) be the second derivative of r(v). Calculate i(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/12)\/(((-45)\/(-216))\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - r + 0*r - 19 = 0, -44 = 4*h - 4*r. Suppose -15 = -5*t - 10. Let a = t - h. What is the lowest common multiple of 6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -244 + 9*n + 60*n**2 + 244 - 8*n. Let u(j) = 61*j**2. Let s(z) = -3*u(z) + 4*x(z). Find the second derivative of s(p) wrt p.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 9) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*1 + ((sqrt(35) - -1*sqrt(35)) + sqrt(35))*5)\/(sqrt(35)\/(sqrt(20) - sqrt(5)) + (sqrt(28) - sqrt(112)\/sqrt(4))\/sqrt(4)).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 525.380688 minutes to weeks.\nAnswer: 0.0521211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/197  (b) 3  (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 228058317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168505*u = 168550*u - 630 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*a = -81*a + 900. Calculate the greatest common divisor of a and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 133 + 133. Let j be (-5 - -1)*(9\/12 + -3). Suppose -j*q + 11*q - 6 = s. Solve -q*i + 7 + 8 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 7 - 2 = d, 6 = -t + 3*d. Suppose 0*n = 4*v + 2*n + 12, -t*n - 4 = -v. Which is the third biggest value?  (a) -0.1  (b) -3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 158015\/60333*1*21\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -28112*x + 4. Let v be p(-3). Let g be v\/(-18)*15\/40. Let w = g - -1755. What is the common denominator of w and 49\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -243*x**5\/40 - 3051*x**4\/4 - 27491*x**3 - 147126*x**2 - 282534*x + 9999. Suppose n(z) = 0. What is z?\nAnswer: -434\/9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 + 38. Suppose -2*y - 2*h + v = y, 0 = h - 3. Solve 0 = 5*g + 2*b - 11, y*b = -4*g - b + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.4 - -6.2153453\nAnswer: 16.6153453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19785485*v**3 - 6348462 wrt v.\nAnswer: 59356455*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-312))\/((-34)\/(-442))*(-16)\/(-292).\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/18)\/4 - (-14995)\/45. What is the greatest common factor of 37 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 4, -69, -4, 331 in increasing order.\nAnswer: -69, -25, -4, 4, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 10918, 21931, 33040, 44245?\n\"Answer: 48*u**2 + 10869*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(32) + (-2 + (sqrt(32) + -2)**2 - sqrt(32)).\nAnswer: -16*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 4) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49091*a = -49098*a + 9380. Calculate the highest common factor of 180 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/54*(-139110042)\/192. Let l = a + -161006. Find the common denominator of l and -85\/24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = k - 11, 0 = w - 2*w - 4*k + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -519699 != -519699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 3 = -2*d. Let x(u) = u + 5. Let f be x(-7). Let b = -2 - 2. What is the second smallest value in b, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73371853.\nAnswer: 6277, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o + 17. Let i be z(23). Let j(w) = 2*w + 4. What is j(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 5*w**2 + 9*w + 5. Let a(t) = -8*t**2 - 14*t - 7. Let n(q) = -5*a(q) - 7*d(q). Find the second derivative of n(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223 = 3*b - y - 442 + 215, -3 = 4*b - 3*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28993, -28995, -28997, -28999, -29001?\nAnswer: -29003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 69 = -3*u, 15*u = 19*u - u + 2*k - 17*k - 30 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4040469080?\nAnswer: 2, 5, 29, 271, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 428, 854, 1280, 1706, 2132, 2558?\n\"Answer: 426*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - w**2 + 2*w + 2. Let z be x(-2). Suppose 5*j + 10 = -2*m, 6*j + 41 = 5*m + z*j. Let i = m - 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18b + -70384a?\nAnswer: -703a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*l + 24*l - 40*l + b = -64, -3*l - 5*b = 38 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92\/69*720\/(-128)*270\/25.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by -11410\nAnswer: 6\/5705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (1 + -6) - (-14 - (-2 - -15))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.05 - 4.45. Let k = c + 4.6. Let q = 1 - 3. What is the nearest to -3 in 2\/9, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 2088.911 microseconds?\nAnswer: 2088911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 9*u + 2. Let g be m(9). Find the second derivative of -4*i**2 - 4*i**2 + 6*i**g + 6*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 16, -2, -4, -3 in decreasing order.\nAnswer: 16, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -422 - -440. What is the remainder when 5956 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 3*n + 1179, -4*t + 4*n + 1576 = n. List the prime factors of t.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/3 + -6)*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 77*x*y**3 - 2*x*y**2 - x*y - 1432*x wrt y?\nAnswer: 231*x*y**2 - 4*x*y - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 take away -1.1278288339874?\nAnswer: 1.2678288339874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -206817*f**4 + 171731*f wrt f.\nAnswer: -2481804*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 1592 and 1591 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1729869 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/992 and -19\/80?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ymznnmzaw. Give prob of sequence many.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5885693 divided by 419.\nAnswer: -14047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**4 + 44*c**3 + 308*c**2 + 228*c - 576.\nAnswer: -4*(c - 16)*(c - 1)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 67*y + 77. Let l(j) = -j**3 + 15*j**2 - 29*j + 43. Let t be l(13). Does 69 divide c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 7 + 3 = 0. Let z be (-1)\/(-5) - a\/10. Let g(b) = -b + 89. Is g(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of -79*y**2 - 1777*y - 189*y + 7*y**2 + 238*y - y**3 - 119. Factor f(m).\nAnswer: -3*(m + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4495, 7, -0.1991?\nAnswer: 4495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1593*n**2 + 4*n - 4*n - 794*n**2 - 783*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40857312.\nAnswer: 2, 3, 61, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/(2*sqrt(2)))\/(3*sqrt(7)*1).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 175 - 175 - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**2 + 0*k**2 - k**2 + (-7*k + 3*k + 2*k)*(-5*k + 3*k + 3*k) - k**2 + 0*k + 0*k - 340*k**2 + 2*k + 684*k**2 - 337*k**2.\nAnswer: 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (((0 + sqrt(1053))**2 + sqrt(1053) - sqrt(1053))*6 - (0 + sqrt(1053) + 5) - ((sqrt(1053) + 1)*1 + -5)).\nAnswer: -18*sqrt(13) + 6320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6556\/124564*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*o**2*r*t - 4*o**2*t**2 - 3*o**2 + o*t**2 - 2*o - r**2*t**2 + 269*r**2*t wrt r.\nAnswer: 2*o**2*t - 2*r*t**2 + 538*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 3*j + 2, 2*j + 3*j - 10 = 0. Suppose -h - k*h = 27. What is the remainder when (-524)\/h - 8\/36 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 13. Differentiate y - 1 - 2*f**2 + 12*f**2 with respect to f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**5\/5 - 2458*q**4\/5 - 761112*q**3\/5 - 696312*q**2 + 80284608*q\/5 - 188770176\/5 = 0. What is q?\nAnswer: -612, -14, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2156339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.8 times 0.0316?\nAnswer: -0.56248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 6:24 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.85 - -49.\nAnswer: 51.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-54)\/243 - (0 - (-1022)\/18). Let m = j + 68. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -185930000 rounded to the nearest 1000000?\nAnswer: -186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -7.1  (b) -247  (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 35.01382 in -0.2, -2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 2:26 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -187\nAnswer: -9\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-72))\/((-135)\/360)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258 + 261 + 417*h**2 + 2314*h**2.\nAnswer: 2731*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14.561 + -15.52. Let x = z + -0.041. Let m = -6 - x. Which is the second smallest value?  (a) -4  (b) -1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3100499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from tttttggttggggggg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 39\/12 + 2\/(-8). Suppose -u*z = -4*z. Let n = z - -9. What is the remainder when 35 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 113 + -80. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 0  (b) 0.8  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 92549, 185036, 277523?\n\"Answer: 92487*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o = 6 + 58. Let x be (-2)\/o + 1688\/32. Let j = 83 - x. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w - 504 + 293 + 29 - 314.\nAnswer: -2*w - 496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -367, 4\/3 in descending order.\nAnswer: 5, 4\/3, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3807 - -3806.9990519. Round i to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 176 and 1712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*(-1 + 0) - -2. Suppose 0 = 2*g - 2 - 4. Let d = s - g. Solve -4*v - 5*c = 3, -d*c = -2*v - 0*c - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 151*x = -146*x - 19, 5*c + 23 = 7*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4577057 to the nearest integer?\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -25412352 divided by -2784\nAnswer: 9128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 8*x**3 - 386*x**2 + 2740*x - 4000 = 0?\nAnswer: 2, 25\/4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*o**2 + 414942*o + 829872 = 0. What is o?\nAnswer: -138312, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*i**2 - 16*i**5 + i + 2 + 84*i**5 - 2 wrt i.\nAnswer: 4080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/((-4)\/6))\/1. Let l(v) = 459*v - 59 - 455*v + 110 - 52. Let y(u) be the first derivative of 5*u**2\/2 - 2*u - 14. Determine b*l(a) + 2*y(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x. Let q(i) = -7*i**2 + 2*i. What is g(q(h))?\nAnswer: -14*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 432 = 12*l. What is the tens digit of (-10)\/(-1)*(-3915)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-1)*i*i)\/(i**(-3)*i) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) + 4*(3*sqrt(252) - sqrt(252)))\/sqrt(7))\/(4*sqrt(48)*-5 + sqrt(48)).\nAnswer: -9*sqrt(3)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do -169452 and -169535 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/220 and 26\/7.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/8434?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 14*j**2 - 14*j + 111. Suppose 5*l - 2*p + 88 = 0, 2*p - 7 = 1. List the prime factors of t(l).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, -3\/4, -2, -0.5, 3.702, -0.07?\nAnswer: 3.702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-1)*v)**4*v*v**2*v*v\/((v\/(v**(2\/21)\/v))\/v*v) assuming v is positive.\nAnswer: v**(317\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (1512\/(-78))\/(-21) + ((-2)\/13)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 12. Let p = 9 + -5. What is the nearest to 0.1 in 5, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -13.7. Suppose q + 1 = 3. Suppose -q*u - 4*u - 12 = 0. Which is the second biggest value?  (a) u  (b) -0.8  (c) w  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2130102 (base 5) to base 11.\nAnswer: -2528a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 12:35 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -26723  (b) 5\/6  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -986458 * -0.033\nAnswer: 32553.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4694089 is divided by 176.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34658?\nAnswer: 2, 13, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 691011?\nAnswer: 3, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/6)\/(4\/(-6)). Let w = -6 - -1. Let g = -0.43 - 0.07. What is the closest to -1\/8 in g, y, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 203*s + 3714. Give d(-17).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -2  (c) 1  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x - 1. Let f = -22 - -29. Let i be y(f). Solve i = 2*l + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by -527750\nAnswer: 7\/263875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 + -28. Let h = b + 53. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2957861 to the nearest integer?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20810*o**3 + 27*o**2 - 2*o - 19032 wrt o?\nAnswer: 124860*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - n + 4*n + 20 = 0, n + 11 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100679?\nAnswer: 83, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8718 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 2*n = 3, -2*n = r - 484 + 467 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.998632um to centimeters.\nAnswer: 0.0008998632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 666227693.\nAnswer: 666227693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3\/3)\/(-4))\/(190\/152).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 6*c + 54. Let g be y(-8). Let f be 3\/g*56\/4. Suppose 19 = f*j - 2*j + 3*q, 0 = 5*q - 15. Solve 0 = 5*x - 10, -3*b - 14 = -j*x + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-2*(sqrt(11) + sqrt(11) + sqrt(11) + 3 + -2))**2 - sqrt(77)\/(sqrt(21)\/sqrt(3))*-4)*6.\nAnswer: -12000 - 840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.7277258 times -3\nAnswer: 2.1831774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h - 3809 + 7615 - 3806.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m - 6. Let r(y) = -y - 7. Let k(x) = -4*j(x) + 3*r(x). Determine k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 10:28 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*s**2 - 13*s**2 + 14*s**2 + 2*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y + 17. Let o be x(23). Let p be (2\/4)\/(-2 - o\/4). Is p greater than 2\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 6*j. Let q(c) = 5*c - 2*c + 4*c - c. Give q(t(u)).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -124\/11  (b) -0.5  (c) 41  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 - 2. Let d be v(0). Let o(j) = -j**3 + j**2 + j + 3. Let i be o(0). Let u be 12\/9 - d\/i. Solve 3*m = u*z + 15, 3*m - 2*m + 6 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1751288*j = 1751271*j + 714 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-29 + -6)\/(-5))\/(1\/4). Calculate the greatest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 212345293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**4 - 3*v**4 + 2*v**4 + (-v**2 + 6*v**3 + v**2)*(v + v + v) - 2*v**4 + 4*v**4 + 6*v**4.\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**2 + t - 7. Suppose 6 = 2*m, -3*r + 280 = 4*m + 58. Let p = -73 + r. Let w(f) = -3*f**2 - f + 13. Give p*w(h) - 5*l(h).\nAnswer: -h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 616\/1881 - (100\/95)\/10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 148 + -34. Let b = q + 185. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -26.3, 2\/3, -2\/9 in decreasing order.\nAnswer: 2\/3, -2\/9, -26.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 526*n**5 + 562*n**2. Let f(u) = -u**5. Let p(b) = 10*f(b) - k(b). Find the third derivative of p(s) wrt s.\nAnswer: -32160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + p**2 - p - 1. Let t be (-3)\/(-4)*((-306)\/(-108) - 22\/4). Let u(j) = -3*j**3 - 2*j + 4. Calculate t*f(o) + u(o).\nAnswer: -o**3 - 2*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/40*(14 + -6)*1\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 265153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 + 0*x**2 + 5*x**2)*(-2*x - 7*x**3 + 2*x + 2*x).\nAnswer: -49*x**5 + 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 + 12*l**2 + 83*l - 1016. Determine b(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 410006, 820186, 1230538, 1641062?\n\"Answer: 86*i**2 + 409922*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + sqrt(99)*-2 + (sqrt(22)*3)\/sqrt(2) + -4)*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 73228409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + i + 5 + (-5*i + i + i)*(-2 - 1 + 4) - 4 - 4*i + 4)*(-5*i**3 + 8*i**3 - 4*i**3) to y + u*i**2 + f*i**3 + z*i + s*i**4 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 815343457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: -10110000011 (base 2) to base 7\nAnswer: -4054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 2 - (-1 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -1. Suppose 63 = 5*a + 4*m, -l*m = 3*m - 10. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r. Let c be x(0). Suppose -2*b + 3*b = c. Solve l + 2*l + 6 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -16. Calculate the lowest common multiple of z and 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6929097 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -8*g + 1674. Suppose g + 132 = 3*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -21241.\nAnswer: 8496.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 10:31 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express b - 8*b - 6*b + 2*b in the form k + c*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -39.334 and 0.03?\nAnswer: -1.18002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.047476 and 706.664.\nAnswer: 706.711476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 983, 1, -2.\nAnswer: -2, -0.5, 1, 983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 694 - 254. What are the prime factors of ((-1)\/2)\/((-22)\/m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - ((-3)\/1 - (4 - 1)). Suppose 0*a = a + 5, 0 = -v - a - c. Sort -7, v, -3, 3\/4 in increasing order.\nAnswer: -7, -3, 3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -367*a = -378*a - 11. Put -5, 12, a in descending order.\nAnswer: 12, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 - 4*j - 7. Let x be y(6). Suppose 0*a = 5*a - x. What is the greatest common factor of a and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (224 - 11*y - 224)*(y + 0*y - 2*y - 2*y + 1 - 1 + (1 + 0 + 0)*(0 - 2*y + 0) - 6*y + 0*y + 4*y - 10*y - 15*y + 4*y)*(-6 + 4 + 4)*(-2 + 2 - 3*y).\nAnswer: -1848*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*((-5)\/(-12))\/5. Which is the closest to 0.2?  (a) 1\/2  (b) x  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 386*p**3 - 5*p**2 - 5*p + 5. Let i(r) = -386*r**3 + 4*r**2 + 4*r - 4. What is -5*i(x) - 4*l(x)?\nAnswer: 386*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.1, -0.2, 3\/4, 16\/7 in descending order.\nAnswer: 16\/7, 3\/4, 0.3, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 - v. Let b(i) = 3*i**2 - 7*i - 9. Let d(n) = -b(n) + 4*y(n). List the prime factors of d(9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06 - 99012477346390.\nAnswer: -99012477346389.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 242 a factor of 261972507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + 0.8. Let n = -1.02 + l. Let o = 1.98 - n. What is the second smallest value in -0.1, -2\/11, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in sixty-nine halves of a micrometer?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -5250, -69 in ascending order.\nAnswer: -5250, -69, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-9)*(61 + 20). Let n(y) = -5*y**3 + 4*y**2 - y**2 - 2*y**2 - 1. Let r be n(-1). Solve r*f - o = 2*s, -4*f + 24 = -0*f - 4*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 367*z**3 + 2*z**2 + 2*z - 251 wrt z.\nAnswer: 2202*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, r: 1, f: 1}. What is prob of picking 1 w and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2dc98 (base 16) to base 5\nAnswer: 22000134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**2 + 7*t - 2. Let c be (-1)\/2*(14 - 4). Calculate the remainder when 38 is divided by w(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -979 - -982. Solve v*h + 23*g - 13 = 21*g, -5*h = -g - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 - -23. Let p(z) be the first derivative of -2 + 0*z**2 + 0*z + 0*z**3 + o*z**4 - 3\/10*z**5. Let p(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16*(-1)\/(-6)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 38\/9 - (0 - (-4)\/18). What is the third derivative of 0*d**j + d**4 - 661*d**5 + 630*d**5 - 8*d**2 wrt d?\nAnswer: -1860*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -4*h**2 + 3 + h**2 - 4*h**2 + 6. Let b = 7 - 7. Suppose 0*x + x = -4*p - 33, b = -p + x - 12. Let k(o) = 3*o**2 - 4. Calculate p*k(j) - 4*r(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of n**4\/4 + n**3\/3 + n**2\/2 - 4*n - 2. Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 12*n**3 - 96*n**2 + 7*n + 334. Let h(z) = 11*z**3 - 125*z**2 + 7*z + 335. Let t(d) = -4*h(d) + 5*p(d). What is the second derivative of t(y) wrt y?\nAnswer: 96*y + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12614340 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/2 - 811*b\/2 + 813.\nAnswer: -(b - 2)*(b + 813)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 0. Suppose 2*q + 7 = 5. Which is the nearest to q?  (a) 5  (b) x  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) + 2 + -1 + sqrt(13) + 5)**2 - (-1*sqrt(468) + 0 + 5)**2.\nAnswer: -340 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 + -8. Is 20\/(-35) + (-19269)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 0*g - 14 = 2*g, -5*z - 5*g = 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and -52929.\nAnswer: -52929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 31*c**2 + 28*c - 68. Determine g(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 17019*q**3 - 13851*q**3 + 4.\nAnswer: 3168*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.13 - -4. Is 68 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 116170*u - 120936 wrt u.\nAnswer: 116170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -15, -8, 11, 48, 109, 200?\n\"Answer: t**3 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 350374?\nAnswer: 2, 239, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 4*q - 5 = 5*l, 551*l = -2*q - 0*q + 553*l + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -135*p + 69747 + 80778. Is p at most as big as 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (i**4 + 4*i**4 - 3*i**4)*(-6 + 0 + 4) - i**4 + 3*i**4 - i**4 + 137 - 137 + 5*i**4 - 1 + 1 + 5*i**4 as l*i**3 + p + a*i**2 + s*i**4 + f*i and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -214, -414, -600, -766, -906, -1014?\n\"Answer: r**3 + r**2 - 210*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6671.43 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of 4*n**3\/3 + 3*n**2 - 2*n + 2. Let c be p(-2). Solve -2*t - 2*o - c = 0, 0*t - t + o = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -484*i = -481*i - 1440. Suppose -16*s - 14*s = i. Let f = 1003\/11 + -91. Which is the third smallest value?  (a) f  (b) s  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1079000 rounded to the nearest 10000?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - m**2 - 3*m**2 + 2*m**2)*(0*m**2 - 4*m**2 + 2*m**2 - m**2 - 3*m**2 + 2*m**2 + (4 - 4 - m)*(-m - m + 4*m) + 17*m - 17*m - 3*m**2).\nAnswer: 18*m**4 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o + 2*o - 5*o + (2 - 2 + 2*o)*(-1 + 3 - 3) - 1 + 1 - o + 2*o + 0*o - 4*o + 0*o - 3*o + 2*o + (2*o - o + 0*o)*(-2 + 1 + 0) + 3*o - 2*o - 3*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20556 and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.8 - 0.3. Let y = 1.4 - i. Let r = y - -0.1032. What is r rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, o: 2, b: 4, i: 8, g: 1}. Give prob of picking 1 o, 1 i, and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 6:45 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*s + 50*s = 243*s + 6390 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1845 - 3687\/2. Which is the nearest to p?  (a) -2  (b) -3  (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -41219367 at least -41219365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 22*w**2 - 3*w. Let l(y) = -2*y + 1. Let t be l(-2). Let a be u(t). Suppose -4*v + q = -a, 8*v - q = 5*v + 400. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fffr when four letters picked without replacement from {t: 9, i: 1, o: 2, r: 2, f: 3, p: 3}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 4*l - 12 = l, -8 = 4*t - 2*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 939 = 2*v + 69. Let z = v - 251. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwkwkkww. Give prob of picking 2 w and 1 k.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -185 + 207. Suppose -u*o = -28*o + 5514. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 4*c**2 + 5*c + 1. What is h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 5:26 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 40  (b) 0  (c) -0.4  (d) -0.5  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-75)\/6)\/1*(-208)\/1040\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/4 + 179*k**2 + 7729*k\/4 - 9165\/2.\nAnswer: (k - 2)*(k + 13)*(k + 705)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.773759 rounded to 1 dp?\nAnswer: -54.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3657\/8 + -457. Which is the nearest to 0?  (a) -3\/8  (b) s  (c) 0.7  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 14*c**2 - 7*c - 10. Let m be b(-13). Suppose 65 = -5*i + m. Let f(p) = 1 + i*p - 1 - 48*p. Let j(n) = n. Give f(j(h)).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 192, 379, 400, 57, -848, -2513, -5136?\nAnswer: -8915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 28)\/((-4)\/6). Let z = u - 40. Find the third derivative of -4*y**2 + 9*y**4 + 5*y**4 - z*y**4 - 11*y**2 wrt y.\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (4 + -6 - -11 - 13)) + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 3. Let g be b(3). Suppose -4*c = -26 + g. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 21. What are the prime factors of (1 - p\/3)*114?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 153760587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/15  (b) 11  (c) 0.3  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19748\/9 - 2197. Let w = f + 28\/9. Sort w, -2, 0.14, -3.\nAnswer: -3, -2, 0.14, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5*l = -10, u - 4*l = -u + 16. Solve b = 3*w, 5*w - b - 2 = -u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 27. Let m = t + -18. Suppose m = -12*a + 11*a + 3. Solve 4 = -l + a*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/6 + (-128)\/6. Let w(p) = p - 1. Let x(l) be the second derivative of 2*l**3 - 9*l**2\/2 + 3*l. Let u(t) = m*w(t) + 2*x(t). Give u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -907, -1816, -2725, -3634, -4543?\nAnswer: -5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/(((-260)\/(-24))\/13). Suppose l*p + 245 = 455. Which is smaller: p or 38?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 7*b = 2, 0 = -5*p - 2*b + 278. Calculate the greatest common divisor of p and 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*m - 608, 0 = 10*z - 7*z + 4*m + 1818. Calculate the common denominator of z\/240 - 10*10\/500 and -11\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -7*k - 11*d + 18, k - 9 = -5*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 22 and -25.\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, s: 2, m: 12}. Give prob of picking 1 m and 3 l.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1764, -6576, -17554, -37782, -70344, -118324, -184806?\n\"Answer: -514*y**3 + y**2 - 1217*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34251, -68498, -102743, -136986, -171227, -205466, -239703?\nAnswer: -273938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3.551902608 + 27\nAnswer: 23.448097392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*t = 80*t. Suppose 0*g + t + 0*g**2 - 1\/7*g**3 = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2343 or -482\/233?\nAnswer: 2343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/110*-2*5*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28*g + 42 + g**5 - 21 - 21 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1535 and 2961015.\nAnswer: 2961015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + w = 10. Solve -2*n + n + w*j + 8 = 0, 3*j = -3*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((2*sqrt(70)*1)\/(-1*sqrt(30)\/sqrt(3))*-4)**2*6)*2.\nAnswer: 5380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -5. Let p(o) = o + 1. Let s(r) = p(r) - z(r). Let h be s(0). Let v be (20\/h)\/((-8)\/12). Let n(f) = f**3 + 5*f**2 + f + 5. Give n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) + 0)*-3 - (sqrt(17) + sqrt(51)\/sqrt(48)))**2 - (5*(sqrt(2448) - sqrt(2448)*-1 - sqrt(2448)))**2.\nAnswer: -974287\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p**3 - 10598 + 10601 + 15*p**2 + p - 12*p**3 to s*p**2 + m*p**3 + w + k*p and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 67695500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 397.\nAnswer: 9\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.031, -721, 0.11 in decreasing order.\nAnswer: 0.11, -0.031, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -27*r**2 + r + 1. Let a be z(-1). Let h = 31 + a. Solve 0 = -u + h - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 79. Let z(o) = -2*o - 5559. Determine -2*s(m) - z(m).\nAnswer: 2*m + 5401","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7142, -7471, -7802, -8135?\nAnswer: -8470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -282*d**5 + 187*d**2 - 2*d wrt d?\nAnswer: -16920*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83784, 167731, 251836, 336099?\nAnswer: 420520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/63)\/(102\/(-119))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5194, 3871, 2548, 1225?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lwl when three letters picked without replacement from {w: 13, l: 5}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1143481 is divided by 127026.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - -2)\/(0 - 1). Let o(y) = 2 - 5*y + 0 - 5 + 4. Let x be o(q). Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1137.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 354 = -2*n, 6*l - 354 = -2*n + 3*l. Suppose -n = -a - 4*c, 4*a - a - 466 = c. Round a to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*o - 3*o + 3*o)*(-2 + 2 - 2) + (-4*o + 16*o + 5*o)*(2 - 4 + 0) + (-2 + 2 - o)*(-1 + 2 + 3) to p + c*o and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 2 - 0. Suppose v*z - 4*z + 4*l + 26 = 0, l + 4 = 0. Let u be ((-10)\/(-4))\/z*1*0. Solve 2*k + 2*k + 4 = u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -118*w = -69*w - 3*w + 598 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f - 4*f + 4*f + 178*f + 274*f - 102*f + (-1 + 3 - 5)*(-f - 3*f + 3*f) to b*f + g and give b.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h**2. Let r(l) = 12*l**2 + 6*l + 6. Let s(f) = 13*f**2 + 7*f + 7. Let c(j) = 7*r(j) - 6*s(j). Determine p(c(k)).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -351, -346, -339, -330, -319?\n\"Answer: w**2 + 2*w - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 PM and 11:12 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 140\/(-23) - (12\/(-138) + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 + 2*u**4 - 3*u**4 - 2*u**2)*(3 - 12 - 2).\nAnswer: 11*u**4 - 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -354.467904 to one dp.\nAnswer: -354.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 - 16. Which is bigger: b or 12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1601262 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8748 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 1. Let v(g) = g**2 - 3*g - 6. Let n be v(5). What is the units digit of d(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 16*k - 14. Is i(19) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 3:06 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14394621.\nAnswer: 3, 101, 47507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 + 0*f**2 - 6*f**2 + (2*f - 4*f - 2*f)*(-5*f + 3 - 3))*(-19 + 10*f + 19).\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-6 + 6 + -1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 8\/7  (b) 2647641  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)\/sqrt(4) - sqrt(96)\/(sqrt(48)\/sqrt(4)))\/(sqrt(48)\/(-6*(sqrt(12) + sqrt(108)))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s**4 + 0*s**4 + s**4)*(93 - 147 - 142 - 79) in the form m*s**3 + h*s + x + b*s**4 + c*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*x - 272*x - 6552 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36 (base 12) to base 10.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lfg when three letters picked without replacement from {f: 1, c: 1, g: 1, l: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5*g - 80 = -4*y, 80 = 5*y - 3*g. What is the remainder when 61 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + ((4*sqrt(336) - sqrt(336))*2)\/(sqrt(28)\/sqrt(256)))*4*2)**2.\nAnswer: 7077888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 806 - 883 = -4*n, -2*n - 2*j + 23 + 11 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = -420 + 132. Let x = 68 + b. What is the least common multiple of x and 4\/6 - (-8)\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 35  (b) 0.4  (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -748358 at most -748360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 136*h + 1343. Calculate r(144).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13251034 (base 7) to base 2.\nAnswer: -100101010011101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2*b)*(-1 + 1 - 6*b**3) + 0 + 2*b**4 + 0 in the form x*b**3 + p*b**4 + f*b + d + l*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 - 30. Suppose -y + 5*l = 20, 2*l + 1 - 9 = -2*y. Suppose -3*i + y*i = -12. Calculate the highest common divisor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39657 is divided by 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28131119, 28131115, 28131109, 28131101?\nAnswer: 28131091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 732*z**2. Let m(x) = 2*x**2. Determine r(m(t)).\nAnswer: 2928*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269510766.\nAnswer: 2, 3, 7, 6416923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 4*p = 8, -p - 1520 = -2*n. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -148, -2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 42019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1350 a factor of 10567800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7480*l - 7476*l - 4 = 2*a, -l = -5*a - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*n - 114*n + 223*n.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1643754.42 hours in weeks?\nAnswer: 9784.2525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 4:36 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 451 is divided by 426.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 16 = 2*j, 0 = 3*g - 5*j + 55 - 67 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 9052.2 + -22\nAnswer: 9030.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5 + (-2*sqrt(684) + 3 + (sqrt(684) - (sqrt(684)*1 + sqrt(684))) + 4)**2 + -1)*3*-4.\nAnswer: -3024*sqrt(19) + 74388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/4522 and 27\/476.\nAnswer: 9044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -82635 - -5027. Let t = 77601.6058 + a. Let s = 6.4 + t. What is s rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -122052, -244101, -366150, -488199, -610248?\nAnswer: -732297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1026494 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -1380  (b) -4  (c) -1\/104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = -2*u + 2, 13 = 5*b - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15712672879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 165, 351, 537, 723, 909?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 121 - 120. Solve 0 = -4*p + t - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6898.9 - -0.51\nAnswer: -6898.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 20470, 21077, 21684, 22291?\n\"Answer: 607*c + 19863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 165*m**4 + 28 wrt m.\nAnswer: 660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 9:44 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Find a, given that -584*a**5\/7 - 3498*a**4\/7 - 4052*a**3\/7 + 3546*a**2\/7 + 4636*a\/7 - 48\/7 = 0.\nAnswer: -4, -2, -1, 3\/292, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*v**3*w - 167*v**3 + v**2*w + 37*w wrt v?\nAnswer: 12*w - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 31950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 309 = 4*j + 5*t, -3*j + 138 = 4*t - 95. Suppose 155 = 4*n + j. What is the remainder when 81 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 34 = -2*d, d = o - 3*o + 10. Calculate the lowest common multiple of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8976 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 1699.189226 and 0.3.\nAnswer: 1699.489226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -15, -28, -41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1243*28\nAnswer: -34804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 994607 is divided by 583.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1213 (base 4) to base 6.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/3 + 58\/6. Suppose 0 = h - 3*h. Let m be d\/((-1 + h)\/(-34)). Round m to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -210130 (base 4) to base 11.\nAnswer: -1830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -11. Let a(c) = -c**2 - 3*c + 3. Let l be a(k). Let i(z) = -l*z + 5 + 2*z**2 + 2*z**2 - 5*z**2. What is i(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 157 (base 9) to base 10\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 429, 862, 1297, 1734, 2173, 2614, 3057?\n\"Answer: u**2 + 430*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -93.7591 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.1, -2, -5, 15, -408?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -981*l - 10. Suppose 7*n - 12 = 8*n + 3*b, 4*b = -5*n - 27. Is w(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2235\/42*148\/(-370) + (-65)\/91?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*c = -27*c. Suppose 4*g - 3 = -q, 2*g + c - 6 = -2*q. Solve g*u + u + 11 = 5*b, -4*u + 4 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/341 + 63\/341. Let i be (-60)\/(-80)*(-8)\/(-6). What is the biggest value in s, 0.5, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*j**5 - 2848802*j**4 - 31977833*j wrt j.\nAnswer: -320*j**3 - 34185624*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -134  (b) 0.5  (c) -4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5910)\/(-788))\/(3\/10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5558 = 4*b + 3*n - 240, -3*b + 3*n + 4359 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of b**5\/60 + b**4\/6 - b**3\/2 - b**2. Calculate the remainder when 4 is divided by n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 213364 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -x**5\/10 - x**2 + 2601. Let n = 0 - -2. Let z(h) = -2*h - n*h + 5*h. Determine z(y(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 6*u**2 + u + 8. What are the prime factors of p(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10979 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 788723 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 - 10. Suppose -3*k + 96 = -q*k. Let d = -10 + k. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68, 63, 58, 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 9*v**2 + v + 3. Let a(f) = -5*f**3 + 37*f**2 + 3*f + 13. Let s(p) = 6*a(p) - 26*y(p). Let s(q) = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58711378 divided by 11.\nAnswer: 5337398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 283104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 2 + 2. Let l = 2.1 - -2.9. Which is the nearest to f?  (a) -2\/7  (b) 1\/4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5121807.9 to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 5:20 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 67655327 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 298*u**2 - 4*u - 10. Let v(z) = -696*z**2 + 9*z + 21. Let s(m) = 7*l(m) + 3*v(m). Let y(h) = -3*h. Give s(y(g)).\nAnswer: -18*g**2 + 3*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*b - 1656135 = -166*b. List the prime factors of b.\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1124\/5  (b) -5  (c) -0.1  (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -7*l**3 + 82*l**2 - 21*l - 1. Let p(n) = 4*n**3 - 44*n**2 + 12*n. Give -9*p(m) - 5*q(m).\nAnswer: -m**3 - 14*m**2 - 3*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 773 and 4?\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (-1 - -6) + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/3  (b) 3\/2  (c) -4  (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {z: 1, o: 5, g: 5, l: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, n: 5, x: 1}. What is prob of picking 3 i and 1 n?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 59068.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 - -22. Suppose -2*v + 3*v + 4*j + 2 = 0, u*j = -4*v + 5. Suppose -k - 2*h + 46 = v*h, 0 = -2*h. What is the remainder when k is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, w: 1, e: 1, k: 2, n: 3, g: 5}. What is prob of sequence eknk?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 5*i - 32 = 0, 43*i = 38*i - 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/6)\/((-2)\/3). Suppose 0 = f + 3*d + 68, -3*f - 176 = -2*d - 3*d. Let m = 67 + f. Solve -5*y + 15 = m*n, 2*n - r*y = -3*n + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*y**3 - 5*y**3 + 13*y**3 - y**3 + 45*y**3.\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -256 - -383. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**3 - 168*g**2 - 700*g - 212. Suppose -3*p = 2*p - 65. What is the remainder when o(88) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i - 4*i + 6*i + (2 + 2*i - 2)*(-67 + 84 - 91).\nAnswer: -146*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4824 and 10620?\nAnswer: 1423080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1778.789 to the nearest ten.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.044 and -29657597314.\nAnswer: -29657597313.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(189)*3 - sqrt(189) - sqrt(189))\/sqrt(7))\/(-4*sqrt(144)).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 334 = 378*t - 800 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) -7885  (c) -3\/452\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*s**3*y + 219233*s**3 + 1479*y**3 wrt y.\nAnswer: 16*s**3 + 4437*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 90556, 181120, 271676, 362212, 452716, 543176?\n\"Answer: -2*q**3 + 8*q**2 + 90554*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 g, 1 q, and 1 h when four letters picked without replacement from {f: 3, h: 2, d: 7, r: 5, g: 2, q: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 162736 and 148903440.\nAnswer: 148903440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1852813 divided by -6?\nAnswer: -1852813\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -13. Suppose -s*p + h = -11, 0*p - 5*p + 7 = 3*h. Suppose -4*u + 20 = -p*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and 4306631.\nAnswer: 4306630.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000528 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4471 - 4557 - (1 + -1 - 1).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 12. Let r = -1737 - -1833. Let h = m + r. List the prime factors of h.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-2))\/((-3)\/8). Let m(t) be the second derivative of t**3\/3 + 11*t**2 - 10*t. Let f be m(5). What is the highest common factor of f and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67573984 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-39)*-2 + 37\/13. What is the common denominator of 38\/15 and (-194)\/48 + t\/6*-4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 52 + 12. Calculate the highest common factor of 48 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 2*a**2 - 14*a + 3. Calculate j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 - 5607\/225 - -8)\/(-2 + 4)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 289320 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 19088445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 510 + -526.94. Let r = f - -17. Let g = -31.17 + 30.87. What is the closest to 0 in g, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(34)\/sqrt(2) - sqrt(85)\/(1*sqrt(5))) + -5*((sqrt(34)\/(sqrt(2) - (sqrt(2) + sqrt(8) + sqrt(2))))**2 - -3*sqrt(68)\/sqrt(4)).\nAnswer: -21*sqrt(17) - 85\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6479 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*g**5\/2 + 69*g**4\/2 + 1617*g**3 - 9318*g**2 - 17196*g + 15120 = 0. What is g?\nAnswer: -18, -2, 2\/3, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -14534, 2\/13 in decreasing order.\nAnswer: 2\/13, -3, -14534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 98*j*u*v - 5*j*v**3 - 644*j - 2332*u*v - 514*u wrt v?\nAnswer: 98*j*u - 15*j*v**2 - 2332*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26552 + 26583.909. Let y = r + 0.091. Let b = y + -32. What is the closest to b in 4, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42303220 (base 5) to base 4\nAnswer: 1112110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -105, 0.3, 385, -15 in increasing order.\nAnswer: -105, -15, 0.3, 0.4, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -638*d - 386. Give m(-3).\nAnswer: 1528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of -323*p**5\/20 + 17*p**3\/3 + p - 15. Find the second derivative of l(v) wrt v.\nAnswer: -1938*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010 + -1?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 26)*(3 + 0 - 2)*(-5 - 13 + 5)*(1 - 1 + 2*v).\nAnswer: 676*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-46)\/253 - (-86)\/(-11)) + 29061)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3002500 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.01, -2\/7, 0.3, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -2766\/53 and -52 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 29 - 13. Let b = 46 + o. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77506.78 tonnes to milligrams.\nAnswer: 77506780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.586 - 0.166.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 263 and 226969.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*c**2 + 42490*c + 1842245 = 0 for c.\nAnswer: -607\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -78.7?\nAnswer: -236.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 349 - 230. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - 4*l - 2*l)*(-7*l - l + 0*l)*((0 + 3 - 2)*(3 - 1 + 0) - 1 + 0 + 3).\nAnswer: 224*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-84)\/(-48)*((-4)\/(-28) - 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 12:02 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -4*p + 12, 3*p + p = -2*n + 16. Let j(c) = c**3 - 5*c**2 + c - 14. What is j(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -0*r + 25. Let l = r - -8. Solve -2*d + l*d = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527683054.\nAnswer: 2, 31, 8511017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6 - (17 - 2)\/(-3). Suppose f - 70 - 7 = 0. What is the greatest common divisor of y and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 585  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/((-425)\/(-700))*(-3)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d = 2*d - z + 4, -8 = -2*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + n + n)*(-7 + 7 + 4*n)*(-6 - 11 - 4) to v*n + k*n**2 + b and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 + 296*y**2 - 215110*y - 41057100.\nAnswer: 2*(y - 342)*(y + 245)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d. Suppose -5*k + 4*h = 0, -4*k - 2*h = -25 - 1. Let f(v) = -k*v - 4*v - 9*v. What is j(f(w))?\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/(-6) + -1 - 1. Let x = -913\/8 + 114. Let v = -0.3 + 0.4. Which is the closest to v?  (a) x  (b) 4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2832992 + 83112 = -4*j. Round j to the nearest 10000.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -117*j**3 - 9*j**2 - 254. Let v(n) = -43*n**3 + 2*n**2 + 28*n**3 + 14*n**3 - 1 - 5*n**2. Let b(t) = 3*v(t) - z(t). Differentiate b(w) wrt w.\nAnswer: 342*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {c: 4, z: 1, o: 1, e: 11, v: 2}?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -20  (b) 0  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -67, -84, -59, 32, 213, 508, 941?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1862 - 1.68\nAnswer: -1863.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2676228403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 28*a**3 - 27*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*v**2 - 54*v**3 - v - 50*v**3 - 5*v - 46*v**3 + 147*v**3 to the form o*v**3 + c*v + n*v**2 + k and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -185*h**4\/24 + 20*h**3\/3 + h**2 - 19*h. What is the hundreds digit of y(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24283.\nAnswer: 7, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 6, n: 4, j: 2, v: 3, s: 1}. What is prob of sequence njv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*a + 1350 = -4362. Calculate the highest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*i - 3*p, 3*p = 3 + 6. Solve 0 = 4*c - 5*c + i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189*m = i + 186*m - 66, -5*i + 410 = 5*m. Solve -910*u - i = -897*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*x, -4*d + 2*x - 3*x + 550 = 0. What is the remainder when d is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 270, -47\/15, -3 in descending order.\nAnswer: 270, -3, -47\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of -i**4\/4 + 16*i**3\/3 + 3*i**2 + 2*i + 17. Let f be u(10). What is the highest common factor of 169 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 4553 (base 9) in base 6?\nAnswer: 23333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -5*a**2 - 3*a - 2. Let g(k) = 2*k**2 + k + 1. What is 3*b(c) + 8*g(c)?\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 807 - 752. Calculate the lowest common multiple of 35 and i.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7314955 + -0.0542\nAnswer: 7314954.9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 12 = -h. Suppose -3*i + 22 = h*t - 62, 5*t = -5*i + 110. Let k = 35085 + -35085. Sort k, t, -1, -2\/17 in decreasing order.\nAnswer: t, k, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 3*a. Let h(l) = -812*l**2. Calculate h(m(z)).\nAnswer: -7308*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 13579900 to the nearest one hundred thousand.\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 198097426 to the power of 1\/2, to the nearest integer?\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -2*w**4\/11 - 450*w**3\/11 - 503*w**2\/11 + 336*w\/11 + 14495. What is c in z(c) = 0?\nAnswer: -168, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -477, -582, -645, -666, -645, -582, -477?\n\"Answer: 21*r**2 - 168*r - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 6) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 606*h**2 - 4853*h + 33. Calculate t(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 3*s - 3*s)*(-3 + 0 + 2) + (2 + 0 - 7)*(-2*s + 3*s - 3*s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/40 and 66\/1885?\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-3) - ((-6)\/(-10) + (-11130)\/(-119700)).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 + h. Let w be c(-2). Find the second derivative of -w*u**2 - 5*u + 4*u + 4*u + u**2 wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/3)\/(8\/(-432)). Let i = p + -16. Factor -2*l**i + 0 - 4\/5*l.\nAnswer: -2*l*(5*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = g + 2*m, 5*g - 8 = 2*m. Let z(s) = -6*s**2 - s. Let w be z(g). Let y be 12\/78 + (-22)\/w. Let q(c) = c**3 + c**2 - 2*c + 1. Give q(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25056513 (base 7) in base 8?\nAnswer: -10451661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288 divided by -16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of u**3 + u**2\/2 + 2*u - 9549. Let w(j) = 2*j**2 + j + 3. What is -5*b(t) + 4*w(t)?\nAnswer: -7*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3170 != 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10043 (base 6) to base 10\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/36 and 113\/936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x + 0*x + 5*x + (4*x - 2*x - x)*(-2 - 1 + 4) - 16173 - 141*x + 16173 to k + f*x and give f.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yfbeeyymbee. Give prob of sequence yf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 7648, 15299, 22954, 30613?\n\"Answer: 2*f**2 + 7645*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -a**3\/6 + 19*a**2 - 4*a. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(3) + sqrt(24)\/sqrt(8))**2*2)*1 + 0 + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 30 = -18. Let j be 14\/((-4)\/l*-6). Suppose -j = -3*m + 194. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 3*b**2 - 3*b + 9. Calculate the remainder when a(4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -5 + (sqrt(2) + 1 + sqrt(2))**2.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 3*x**3 - 2*x**2 - x - 1. Let m be s(2). Let y(q) = 13 + 3*q - m - q. Let p(j) = j. Determine y(p(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*d + 14*d + 24. Find the third derivative of -6*v**6 - v**6 - d*v**6 - 2*v**2 + 0*v**2 wrt v.\nAnswer: -1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 7, r: 2, w: 3, g: 8}. What is prob of picking 1 r and 2 g?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 10. Suppose -4*m = -5*a + 7 - 0, -14 = -m - 4*a. Suppose 1 = -n - m. What is the second smallest value in -0.3, n, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -59 - -62. Let g be j - 24\/9 - 304\/(-6). Calculate the greatest common factor of g and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vzvpa. Give prob of picking 1 p and 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.07075 - -1.0707597841. Round v to 7 dps.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - 3*i + 0*i)*(3 - 3 - i)*(-2 + 3 - 5).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) -0.16  (c) 1487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15292\/39 + 37113632\/94653. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -26*o - o**3 - 15 + 8*o + 13*o - 22*o - 10*o**2. What is v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 44*t - 159. Solve -17 = 4*w + 5*u, 4*w = t*u - 5*u - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63 - 62. Let y(i) be the first derivative of 22*i**3\/3 - i**2\/2 + 3. What is the tens digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) -4.106  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.134 - -306.\nAnswer: 305.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293288*q - 273 = 293327*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.17 + -1004.17. Which is the third biggest value?  (a) 2\/3  (b) 1\/5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - 7. What is n(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.08053 rounded to two decimal places?\nAnswer: -4.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20050947?\nAnswer: 3, 7, 19, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 6, -11, -4, -3, 112.\nAnswer: -11, -5, -4, -3, 3, 6, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j**2 - 8*j - 64. Let n be s(-12). Let i = -252 - n. Let m = 0.4 + 4.6. Which is the nearest to 2?  (a) -0.3  (b) i  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304305758 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*y**3 + 4*y**3 - 2*y**3 + (-2*y - 1 + 1)*(5*y**2 - 2*y**2 - 2*y**2) + y**3 + 2*y**2 - 2*y**2 - 3 + 3 + y**3 + y**3 - 2*y**2 + 2*y**2.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -0*q + 20. Suppose 3*h + 42 = 3*g, 2*g + 5*h = 31 - q. Solve 3*b + 19 = 4*m + m, b = 5*m - g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {b: 3, w: 8, i: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8\/25 of a minute?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d + -a6?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (25\/150)\/((-2)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/20 and -67\/56783868.\nAnswer: 283919340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(77)*-2)\/(sqrt(11) + -1*sqrt(539) - sqrt(11)).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 126612, 126611, 126610?\nAnswer: 126609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g + 3. Suppose 42 = k + 2*v, 8*k - v = 3*k + 166. Let r(d) = 6*d - 17. What is k*z(u) + 6*r(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(704))\/((-2*sqrt(40))\/sqrt(10)) - (sqrt(121)\/(sqrt(11)*-1) + -1 + sqrt(11)*1))**2.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*(2 + sqrt(1539) + -2 + sqrt(1539) + -2 + sqrt(1539) + 2) + -1)**2.\nAnswer: 54*sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214124 is divided by 12595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 310 - 642. Let k = 336.06 + v. Let q = -4 + k. Which is the third biggest value?  (a) 0.3  (b) 1\/3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2, -29, -74, -137, -218?\n\"Answer: -9*g**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -6336.4 to the nearest one hundred.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010011 + 1000000101?\nAnswer: 110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c**3 - 4*c**2 - 1. Let i(k) = 5*k**3 + 13*k**2 - k + 3. Let p(y) = 8*g(y) + 3*i(y). Give p(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 - 79472*p + 1349868.\nAnswer: 4*(p - 19851)*(p - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24042 + -57.099.\nAnswer: 23984.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 73*d + 269. Let o be m(-4). Let u be -6*3*o\/46. What is the highest common factor of 171 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(176)*6 - (2*sqrt(1100) + (1*sqrt(11) - sqrt(11)) + -3))**2 + (sqrt(1584)*-3 - ((sqrt(44) - sqrt(2156)) + 3)).\nAnswer: 144*sqrt(11) + 8630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6203484 take away 1767.177?\nAnswer: 6201716.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 112077*v**2 + 48846*v wrt v?\nAnswer: 224154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2\/69 + -148\/345. Let l = -13.7 + 8.7. Put -0.5, q, l in decreasing order.\nAnswer: q, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 45344079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 + -3178?\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 9 = -17. Suppose 5*a - 12 = t. Suppose -43 = -a*j + 37. What is the highest common divisor of 32 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 14427 + -4?\nAnswer: 14423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000014691 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-24539.18.\nAnswer: -24539.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u + 0*u - 2*u)*(u**2 + 1 - 1) + 0 - 2*u**3 + 0 - 14*u**3 + 3*u**3 + 2*u**2 - 2 - 79133*u + 79136*u.\nAnswer: -12*u**3 + 2*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41 + -29. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 246 - 493\/2. Let g(r) = r**2 - 45*r + 291. Let d be g(8). Let w = -6.5 - -0.5. Which is the smallest value?  (a) w  (b) x  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 29467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -105*j. Let x(z) = 9*z - 104264. Calculate x(d(g)).\nAnswer: -945*g - 104264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {z: 2, i: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -231\/1577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/12 + 7\/(-54). Let b = 1452 - 39223\/27. Let j = b + p. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, q: 2, r: 8, l: 2, x: 2, m: 2}. What is prob of sequence mq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 462 + -1112. Let j = w + 650. Which is the third biggest value?  (a) 5  (b) j  (c) 4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -6*x**2 - 576*x - 207. What is the ten thousands digit of c(-69)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14 + 8)\/(24\/(-18160)). Suppose -f = -4*g + 2*r + 734, 0 = -5*g - 5*r + 6555. What are the prime factors of g?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*m - 51 = 42 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -m**4\/2 - 8*m**3\/3 - 5*m**2\/2 - 6*m - 168. Let t be (-2)\/(0 - 6\/(-15)). What is the units digit of l(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -24*r + 43. Suppose -6*d = 5*m - d + 80, 0 = -4*m + 3*d - 50. Is o(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 + 18*s**2 - 16*s**2 - 3*s**3 - 3*s + 4*s - 375 in the form r*s**2 + t*s + b*s**3 + p and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.861304758 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -164384 divided by 88\nAnswer: -1868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - 23*i**2 - 6*i - 843. Calculate k(0).\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48041430 is divided by 381?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 29235306 divided by 12151?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (4 - 2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cukcuctkttccckcckc. Give prob of sequence utuc.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 39 and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8939*i + 1 - 8830*i - 1 - 8940*i + 26711*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37\/28 + -11\/7. Let n(m) = m**3 + 5*m**2 - 6*m + 1. Let u be n(-6). Let r be (-15)\/24*u\/5. Which is the nearest to -1\/10?  (a) r  (b) 1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k - 4 + 1 + 2*k + (0 + 1 + 1)*(12 + k - 12) as s*k + u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -250 + 251.12. Let z = m + 3.88. What is the second biggest value in -5\/3, 1\/8, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 3\/22, 0.303, -2\/21 in descending order.\nAnswer: 0.303, 3\/22, -2\/21, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1168985*f - 252 = -1169013*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/13395216 and -29\/414.\nAnswer: 924269904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 44 = 3*w. Let k be (w + -2)*(-17)\/(-2). Solve 0 = -3*m + 3*a - a - k, 3*m + 11 = -4*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.67 rounded to one decimal place?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.833148 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.12179 - -0.97851. Let o = 13.1 + -12. Let f = p - o. Round f to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 1 + 50 = 5*r, -3*r - 3*x + 33 = 0. Suppose r = -5*b + 30. Solve 0*d + b*d - 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxcc when four letters picked without replacement from {x: 1, z: 3, w: 3, v: 3, s: 1, c: 3}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -206*f + 206*f - 117*f**2 to i + y*f + s*f**2 and give s.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -6 - (1 + (11 - 15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -0.4, 1\/1363, -5, -1669 in ascending order.\nAnswer: -1669, -5, -0.4, 1\/1363, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**12*g)\/g)\/g**(-2\/57))**5 assuming g is positive.\nAnswer: g**(3715\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1152 or -1153?\nAnswer: -1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -16 and 0.45929?\nAnswer: -7.34864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1240 + 0.03952.\nAnswer: -1239.96048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*x + 962 + 254 = -22*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 192*g**2.\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 8*d + 24 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1030 = 14*f - 12*f. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1113742791 < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7028 - -33?\nAnswer: 7062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(15\/2)\/h)\/h)\/(h*h**(-12)))\/((h\/(h**(-3\/7)\/h))\/(h\/(h\/(h\/(h\/(h\/(h\/(h*h**15)))))))) assuming h is positive.\nAnswer: h**(421\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 4*k, 436*x - 433*x = -k. Let y be (-40)\/(-12)*18\/(-15). Sort 6, 2, x, y.\nAnswer: y, x, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 8*l + 4 + 2*l + 6*l**2 - 2 - 5*l**2. What is the smallest common multiple of 6 and p(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 34154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(sqrt(36)\/sqrt(3)) - sqrt(11) - -4*sqrt(99))**2 - (sqrt(352)\/sqrt(2) + 0).\nAnswer: -4*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b + 12. Let s be q(-4). Let u = -3 - -5. Solve 11*o = 6*o - s*p + 21, 3 = -5*o + u*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -8 + 3 - (1 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - d - 13. Suppose -15 + 79 = -8*r. What is the units digit of a(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 320 = 3*h + 323, -7*h - 5*m + 47 + 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -675 - -980. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333211323320 (base 4) to base 3.\nAnswer: 1011100221120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*w**4 + 2*w - 2*w + (5*w**3 + 0*w**3 - 3*w**3)*(2*w + 4 - 4).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.127662*-0.4\nAnswer: 0.0510648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 45311 and 36.6.\nAnswer: 1658382.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 513?\nAnswer: 4\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31770*u**6 + 6599*u**2.\nAnswer: -3812400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 69.\nAnswer: -5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 - -152. Suppose -4*o + l = o. Let g be (-5)\/1 - -3 - -68. Calculate the greatest common divisor of o and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/7*28*(-10)\/(-280)*-49.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 1686 + 1681 = -c. Let d = 1 + -6. Sort d, c, 4, -4 in descending order.\nAnswer: c, 4, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -i + 3*v + 51, 2*i - 103 = v. Suppose 2*x - i = 5*f, -2*x + 3*f = -f - 54. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-28)\/132)\/(192\/18) and -23\/192?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, r: 2}. Give prob of sequence qrr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -111122000211 (base 3) to base 13\nAnswer: -95170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b + 2. Let y be j(2). Let d = 14 - 12. Suppose 4*p + d + 19 = -3*o, -3*o - 9 = 0. Sort p, -2, y in increasing order.\nAnswer: p, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ezex when four letters picked without replacement from erezzeeezxreer.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -7602.\nAnswer: 15204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l + 10*l - 3*l + l + 14 + 27. Let a(p) = -2*p - 8. Determine 11*a(q) + 2*s(q).\nAnswer: -2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-48) + 7055\/(-26520).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*z**2 - 24*z**2 - 3*z**2 to u + w*z**2 + p*z and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 506, 3988, 13444, 31862, 62230, 107536, 170768?\nAnswer: 254914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or 2146\/447?\nAnswer: 2146\/447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j + 41. Let n be u(41). Factor n*s**2 - 2\/13*s**5 - 4\/13*s**4 + 0*s**3 + 0 + 0*s.\nAnswer: -2*s**4*(s + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of t**4\/30 + 32*t**3\/3 - 4901. Factor u(a).\nAnswer: 2*a**2*(a + 240)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1729 + -1723. What is the nearest to p in -0.4, 4\/3, -1\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 3*s - 15. Suppose s*n + 5 = 0, -3*n = 4*z - 2*n - 7. What is the third derivative of -z*r**5 - 2*r - 2*r**2 + 2*r wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-60*q - 78*q - 209*q)*(0*q**3 + 3*q**3 - 4*q**3 + (0*q - q - q)*(q**2 + 0*q**2 + q**2)) to v + i*q**4 + t*q**2 + l*q + a*q**3 and give i.\nAnswer: 1735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12bca1 (base 15) to base 13.\nAnswer: 256c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/42)\/((-72)\/504)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5*m - 127344 = 0. Suppose l = 4*b - 19020, -b = 3*l - 6677 + m. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(192))**2*-5.\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 6 = -2*b, -3*v - 23 = -2*b - 5. Let g(k) be the second derivative of 1\/54*k**4 - k + 0 + 1\/3*k**b + 8\/9*k**2. Find h such that g(h) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18978, -95, -2, 2, -3, 3 in descending order.\nAnswer: 18978, 3, 2, -2, -3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12932 by -21898.\nAnswer: -6466\/10949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-23))\/(7\/(-1))*(-861)\/(-123)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*x + 133*x + 3744 = 0. Let t = -1801\/70 + 551\/20. What is the common denominator of t and (-8 - 1576\/x) + -1 + -1?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 2 r, and 1 f when four letters picked without replacement from {f: 4, r: 3, q: 1, a: 1, g: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13863 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3638648 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -221023 + 32103301?\nAnswer: 31222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -2, 8, 5 in decreasing order.\nAnswer: 8, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3 + 432*v**2 - 24960*v + 173056.\nAnswer: -2*(v - 104)**2*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/16)\/((-12)\/80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.4275 + 7.8615. Let d = 0.174 - 0.04. Let o = d - w. Round o to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44 + 33 + 2 + (3 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26150.763 months to centuries.\nAnswer: 21.7923025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (s**2 - s**2 - 4*s**2)*(-10 - 6 - 2) to the form n*s**2 + a*s + w and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -180.3246 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4291 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16926 and 6688374.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**3 + 1. Let z be h(1). Solve 2*v - g + 6 = 0, -z*v + 3*g + 0 = 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of j**8\/28 - 61*j**6\/30 - 7*j**4\/12 - 5*j**3\/6 - 158*j. What is the third derivative of g(i) wrt i?\nAnswer: 240*i**3 - 1464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x + 15 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from fffqyyqfql.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 11:23 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 137.06 - 124.06. Which is the nearest to 6?  (a) -5  (b) 0.1  (c) -0.3  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7430883 months in years?\nAnswer: 0.061924025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -597, -1169, -1713, -2229?\n\"Answer: 14*s**2 - 614*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*j - 4*s - 32, s + 21 = 4*j. Let l(b) = -b + 4. Let u be l(j). Suppose -f - 2*f + 15 = u. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.017 - 149.\nAnswer: -148.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r - 2. Suppose 12*c + 3306 + 1902 = 0. Let z = c - -426. What is d(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2634 divided by -6?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*v + 6*v + 4*a + 4, 2*v + 3*a = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*((u*u*u**2)\/u)\/u)**14\/(u**(-1\/6)\/u**(-9)) assuming u is positive.\nAnswer: u**(199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.4977 litres to millilitres.\nAnswer: 10497.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/(154\/(-48)) - 2. Which is the nearest to -3?  (a) 4  (b) 5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h + 1. Let g = 36 - 27. Let u be o(g). Solve 0 = -5*a - q + u, -3 = -3*a + 4*q + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.33 + -0.07. Let i = -11 - -11.5. What is the third smallest value in u, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-5*sqrt(363)*-1*3.\nAnswer: 660*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.906102361 to two dps.\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/sqrt(2))\/sqrt(2)*1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qeqqqqqqqaqqaqe. What is prob of sequence qaee?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 765066 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8845633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-18*(-16)\/(-96)). Solve g = 14*v + 91 + 21 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1304  (b) -0.2  (c) 15  (d) 440\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*j, 5*j - 24 = 2*k + 2*j. Let g(m) = -m. Let c = 7 + 2. What is the least common multiple of c and g(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3 + 3*d**2 + 9*d - d**3 - d - 2 + 3. Let b be 1\/(2\/(-2)) - -5. What is the remainder when 79 is divided by x(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*y + y + 46 = 0, 0 = -2*q + y + 61. Calculate the remainder when q is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -67813112380 and -0.3.\nAnswer: -67813112380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 5*n**4 - 94*n**2 + 15*n**3 - 450 - 20*n**2 + 4*n**2 + 24*n**2 - 435*n - 9*n**2 = 0?\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((39*m**2 - 120*m**2 + 18*m**2)*(2 + 1 - 5) + 0*m**2 + 2*m**2 - 4*m**2)*(17*m + 17*m - 5*m) as v + n*m**3 + d*m**2 + b*m and give n.\nAnswer: 3596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.518 + -0.131. Let m = -0.013 - y. Let p be (-6)\/9*(-2)\/(-6). Which is the second smallest value?  (a) 0.4  (b) m  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 7*j**2 + 7*j + 4. Let m(h) = -10*h**2 - 10*h - 6. Suppose 4*w - 20 = -3*y, -w = 30*y - 26*y - 5. Suppose 0*o - 35 = -5*o. Calculate o*f(s) + w*m(s).\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4\/5 - 7044*u**3\/5 - 127008*u**2\/5 - 152496*u - 1525392\/5.\nAnswer: (u - 7062)*(u + 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-12) - 104\/(-3). Suppose -k = k - l. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b**3 + 152*b**2 - 79*b**2 + b**3 - 73*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 2*j**5 - 816*j**4 - 5112*j**3 + 58580*j**2 + 428022*j + 365148 = 0.\nAnswer: -7, -1, 9, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 33*o + 268. Let u be h(-8). Which is the third smallest value?  (a) 2\/39  (b) u  (c) 5  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9686, 33326, 72732, 127910, 198866, 285606, 388136?\nAnswer: 506462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 14) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3525, -3526, -3527?\n\"Answer: -c - 3524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -11537*m - 2 + 11538*m + 0. Suppose t = -3*t. Let p be h(t). What is the nearest to 1 in -1\/2, p, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.5 - -1. Let d = -0.1896 + 0.2896. What is the closest to -1\/4 in x, d, 1.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -443 - -445. Solve -i + r = 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.026  (b) -93645  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 3 + 0)*(3*h - 5*h + 13*h)*(1 + 7 - 3) in the form n + q*h and give q.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -271000 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-96))\/((-20)\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - -6) + -6 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*m + 53, -3*m + 48 = m + y. Let x(a) = -5*a + 42. What is the remainder when x(5) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 9 + 6 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000586 to seven dps.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = 4*p - 12. Let t(c) = -c**2 - 12*c + 51. Let v be t(p). Suppose v*d + 3*h - 6731 = d, 0 = -3*d - 3*h + 4041. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21458 and -0.002.\nAnswer: -42.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 222 and 1312692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -5*r + 165, 5*r = -6*u + 33 + 147. Let c(j) = -j**2 - 4*j - 1. Let z be c(-6). Let i = r + z. Solve -3*v - i = 5*m + 5, -m - 14 = 3*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 42\/98 - (-25)\/(-42). Let t = 1.17 + -1.2. Which is the nearest to 0?  (a) t  (b) -3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -118348909.06005 - -118351304. Let t = s + -2395. Let g = -0.06 - t. What is g rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*k - 10 = -z - 15*k, 6*z + 5*k = -50 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1920 - 7121 = -2*s - 3*d, -2*d + 2599 = s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 16 in -0.2, 26, -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1392 + -1378. What is the remainder when 130 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.3 + 0.3. Let q = 2931 + -2931.54. Which is greater: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 10*i + 7 - 2*i + i**3 + 0*i**3 + 7*i**2 + i. What is v(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 406 and 37604938?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1322 - 2?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14384 by -189.\nAnswer: -14384\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -88, -170, -252?\n\"Answer: -82*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3294\/(-162)*(-1 - 2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61297\/13248 + -211\/46. Calculate the common denominator of v and -43\/42.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -3*l - 3*g, -2*l - 2*l + 52 = -4*g. Suppose 0*c - 2*c = -l. Suppose t - 17 = a, c + 2 = t + 5*a. Calculate the highest common factor of 40 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-17 + 18 + 9*1)*1988001. Suppose 4*f + u = -23*n + 18*n, -2*n - 14910004 = 3*f. What is f rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17017 and 442?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 1, -1\/630 in descending order.\nAnswer: 1, -1\/630, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115386543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 2 - (-48 + 24 - (-25 - -14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**4\/4 - 5*t**3\/2 - 35*t**2 - 115*t\/2 - 105\/4.\nAnswer: 5*(t - 7)*(t + 1)**2*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 624 = 16*l + 8*l. Let f be l*((-357)\/(-70) + -5). Which is the fourth biggest value?  (a) 1\/3  (b) f  (c) 1  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 4*r - 93. Let t = 51 + -29. Calculate the lowest common multiple of t and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 13 - 6 = -2*h, 3*h + 9 = u. Let p be -8 + 1*(-3)\/(-3). Let g = p + u. What is the remainder when 15 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - r + 5*r + 45 = 0, 0 = -k - r. Let a(w) = -2*w**2 - 3*w + 2. Let z(j) = -5*j**2 - j + 5*j + 4 - 9*j + 0*j. Determine k*a(c) - 3*z(c).\nAnswer: 5*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -99269800 to the nearest one hundred thousand.\nAnswer: -99300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/(-4)*13772*5\/(-50). What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21837 + 53*h**3 - h**2 + 21838 - h**2 - 20*h to the form g*h**3 + j*h + p*h**2 + n and give g.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 + 114. Let m(q) = 2*q**2 - 8*q - 2. Let u be m(6). Calculate the highest common factor of v and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19481989 is divided by 671792?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h. Let v be (26\/(-6))\/((-4)\/(-12)). Let n = v + 22. Let b be n - 3 - (0 - 0). Give l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8*36 - 3)\/((-6)\/4). Suppose 0 = 5*w - t - 381. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 8:16 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*a*d**2 - 3*a*d - 29*a - 2*d**2 - 3 with respect to d.\nAnswer: -16*a*d - 3*a - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 66. Let z = -49 - g. Let j = -11 + z. Solve j*t = -4 - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-16)*12*61\/((-12261)\/12328).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -6 + 9 - (1 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 30. Suppose -4*j - 4 = -2*j - 4*r, 0 = -2*j + 3*r - s. Solve -2*h = 12 - j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 divided by -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**7\/70 - 19*r**6\/120 + 47*r**5\/90 + 4*r**4\/9 - 64*r**3\/9 + 10*r**2 + 20*r. Let d(s) = 0. Calculate s.\nAnswer: -1, 2, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of 18*o**5\/5 - 37*o**2\/2 + 10. Find the second derivative of j(t) wrt t.\nAnswer: 216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2989 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = x - 459, -5*x + 1231 = -t - 1097. Let i = -374 - -52. Let w = x + i. Calculate the highest common factor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -18672\/109 and -171 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -4*o + 10, -2*o + 7 = -a - 0*a. Let x = -52781 + 369466\/7. Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 0 + 12 = 0. Find the second derivative of -3*o + o**3 + 0*o**3 - o**3 + o**d wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*(-2)\/4)\/(2\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1390*t - 884*t - 435*t)*(2 - 2*t - 1 + 3*t) in the form d*t**2 + x + r*t and give r.\nAnswer: -2709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -10957, -0.1 in decreasing order.\nAnswer: 2\/7, -0.1, -10957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 23609624627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of -41*w + 1\/20*w**4 + 243\/10*w**2 - 9\/5*w**3 + 0. Solve r(q) = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21)\/7 + 19600002 + 1. Suppose -21*l = -7*l - x. Round l to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 1)\/(4\/(-20)). Solve 5*r = i*q - 25, -4*q = -9*q - 4*r + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 4) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12640 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 25*q + 15. What is the hundreds digit of x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c - 3. Suppose -3*l - l - 3*m + 18 = 0, -7 = -3*l + m. Let v be d(l). List the prime factors of (2 + -5)*(-13 + v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 959684, 1919389, 2879128, 3838919, 4798780?\n\"Answer: 3*g**3 - g**2 + 959687*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -39, 6, 28, -1 in increasing order.\nAnswer: -39, -1, 4, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**6\/120 - g**5\/10 + g**4\/8 + 7*g**3\/6 - 17*g**2 + 3. Let d be z(4). Sort 5, d, -4, -0.2 in decreasing order.\nAnswer: 5, -0.2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/50, -45, -6, 10, 2\/31?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 7500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 12*h + 4. Let t be a(1). Let r be 3 + 1 - 44\/t. Let g = -0.25 - 0.05. What is the closest to 1 in g, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**3 + u**3 - 4*u**3)*(25*u + 57 - 23*u - u).\nAnswer: -2*u**4 - 114*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2740057 is divided by 233.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that d**3\/3 + 40*d**2 = 0.\nAnswer: -120, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4424 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -169*l**2\/2 - 39*l - 319. Let t(c) = 17*c + 4. What is 4*a(v) + 39*t(v)?\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -306?  (a) -0.2  (b) 1  (c) 85  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + i - 8. Suppose 34 = i*u - 10. Let k(j) = 4*j**2 + 5*j + 1. Let w(p) = -7*p**2 - 9*p - 2. Determine u*k(f) + 6*w(f).\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50718 by 6.\nAnswer: -8453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 323 at least as big as 325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight sevenths of a week in hours?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -218670 - -1109903. Let o = 891233.00999978 - x. Let m = -0.01 + o. What is m rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2883 minus -4?\nAnswer: 4.2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -185 - -94. Let l be 104\/o*(-2)\/(-8). Let u = 58\/15 - 217\/60. Which is the nearest to l?  (a) -2  (b) -2\/9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2478?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a - 47*a + 13*a - 7*a)*(-2*a**3 + 4*a**3 + 0*a**3) in the form t*a**4 + h*a**2 + x*a**3 + o*a + m and give t.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 g, and 2 u when four letters picked without replacement from {n: 2, v: 1, b: 2, l: 1, u: 2, g: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11783993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 3.9999958. What is x rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 11:17 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 > -26192\/1293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of 0*i**4 + 7\/30*i**6 + 4*i + 0*i**5 + 0*i**2 + 1\/3*i**3 + 0. What is the second derivative of c(g) wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -682\/25 not equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 144153596 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/2*(51\/34)\/(180\/312)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -146 - -146.539. Let f = 0.461 + j. What is the smallest value in 1\/5, f, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7706*n**3 + 14*n**2 - 3841*n**3 + 1 - 3853*n**3 to g + l*n**2 + d*n + f*n**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8340 and 36937165.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 - 2 - (-3 + 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times 99995?\nAnswer: 999950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 28 = m - 2*r, 3*r = -3*m + 66. Let u = m + -25. What are the prime factors of (4 + u)\/(3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from hhhhmhttttm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20737715 + 2?\nAnswer: -20737713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 3*f + 2077 = 0, 4*f = 2*r - 0*f - 1022. Let x = 2147\/4 - r. What is the common denominator of x and -75\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -405428 by 32.\nAnswer: -101357\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1332113 (base 4) to base 9.\nAnswer: -12075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1872) - (sqrt(1872) + 1 + -5))**2 - sqrt(1872)) + 4)*5.\nAnswer: -60*sqrt(13) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-11)\/l)\/(l**(-4\/9)\/l))\/(l**(-4\/7)\/l**(3\/14)) assuming l is positive.\nAnswer: l**(-1231\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20735*b + 9412 = 20751*b + 2788. Calculate the remainder when b is divided by 147.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -40. Suppose 3*g - 86 = 85. What is the remainder when g is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**3 + w**3 + 2*w**3 + (-3*w**2 + 0*w**2 + 2*w**2)*(-19678*w - 16601*w - 12931*w - 1682*w) to q*w**2 + o*w + s*w**3 + f and give s.\nAnswer: 50894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -19*u. Let m(o) = -16*o**2. What is j(m(q))?\nAnswer: 304*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -57 - -61. Solve 0 = 3*s - 5*z - y, -2*s - 3*z = -2*z + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 23*m**2 + 2*m - 51. Let z be j(23). Let u be -27*4*(-1)\/(-12). Let f = u - -13. Put z, f, 2, 0.4 in descending order.\nAnswer: f, 2, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (407\/77 - 5)*-42. Let c = -12 - -18. Is u\/(-8)*(-1 + 358\/c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4450563 + -290.818.\nAnswer: 4450272.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4ca544 (base 13) to base 14.\nAnswer: 3626a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70, 140, 210, 280, 350, 420?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/107)*z*z**(-2\/13))\/(z\/z**38)**(-19) assuming z is positive.\nAnswer: z**(-976722\/1391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -d (base 15) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v = 4*z + 24*v + 68, -3*z + 4*v = 65. Let q(j) = 5*j + 36. Determine q(z).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -140*f + 107. What is y(5)?\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xvtwwxvvwwxvytywyw. Give prob of sequence wyy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.3, 28, -8\/5, 5, 1.1 in ascending order.\nAnswer: -8\/5, -0.3, 1.1, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 460 and 2357568.\nAnswer: 271120320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 9:19 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvvvvxvvvv. What is prob of sequence vxv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -2903239.\nAnswer: -2903239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p = -1551 + 1362. Let m be -2 + 4 + p\/(-14). Let h = -0.9 - 0.1. Which is the nearest to h?  (a) -0.3  (b) 0.1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -j**4\/8 - 4*j**3 - 6622*j**2. Determine z(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of x**5\/30 - x**4\/4 + x**3\/3 - x**2. Let l = -37 - -65. Calculate the remainder when l is divided by b(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 4 - 1. Let k = 22 - 26. Which is the nearest to 3?  (a) j  (b) k  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2614, -4163, -5712, -7261?\n\"Answer: -1549*u - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -35 * 236\nAnswer: -8260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 395794 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: Solve 953*p - 20742 = 24*p + 5604 - 6837 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = o + 2, x - 50 = 4*o - 0*x. Let l = o - -18. Suppose -3 = -5*i + 7. Calculate the highest common factor of i and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 96 and 5976.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*(-3)\/(-35)*-1*(10 - 13)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/120 and -37\/312?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1)*p*((p*p\/(p**(2\/15)\/p)*p)\/p*p)\/p*p**(2\/29)\/p**(-6\/7) assuming p is positive.\nAnswer: p**(11549\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 4*i - 1 = -a, -a - 5 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -35 + 155?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 4818 = 4*n - 1722, 2*n + 3286 = -b. What is the remainder when b\/(-88)*(3 - -1) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184*r = -45*r + 5496. Suppose -9 = -5*h + 3*x, h - 3 = 5*h + x. What is the least common multiple of r and 12*(1\/2 + h)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a71 (base 14) in base 10?\nAnswer: -4803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -54642 by -7806.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 39638.4 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 39568\/285 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g**3 + 428*g**2 - 13016*g + 24288 = 0 for g.\nAnswer: -132, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + r**2 + r + 3. Let t be g(0). Suppose 2*k + 2*k - x - 91 = 0, 5*k + 4*x = 140. What are the prime factors of k + 4\/(-4) + t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42 - -41. What are the prime factors of (80 - (z - -1)) + (-1 - -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-1*(-5)\/50*-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 85, 9, 18, -1, 223, 4 in increasing order.\nAnswer: -1, 4, 9, 18, 85, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37.36548 - 0.78152. Let f = 38 + d. What is f rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f9ad + ce8?\nAnswer: -ecc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 4*r - 1, -r - 5*f - 3 = r. Let m be 205\/4 - r\/4. Suppose -h = -4*h + m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 3*h**2 + 17*h + 31. Is j(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-10)*(-17)\/((-7956)\/24)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -18249965 and 2.\nAnswer: -36499930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 264 divide 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -528.6 - -535. Are 5 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/5328 and 19\/222.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02 and 0.026.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -4*h**5\/7 + 2736*h**4\/7 - 518864*h**3\/7 + 17292160*h**2\/7 - 16303872*h + 30334976 = 0.\nAnswer: 4, 32, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o - 2 - 2*o + 0 + o**2. Let m be 7 - 3\/(-6)*-2. Determine a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f - 4*g + 2 = 0, 0 = -5*f - 5*g - 20. Suppose -8*x - 2169 + 2081 = 0. Are f and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1850  (b) -3  (c) 0.4  (d) 0.134  (e) 0.03  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000113906 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 480, 582, 762, 1026, 1380, 1830, 2382, 3042?\nAnswer: 3816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237*i - 231*i + 475*i = 3*a + 18, -4*a = -5*i - 2*a + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o. Let p(i) = -4*i. Let b(u) = 4*p(u) + 5*r(u). Let c(x) = 1. Let z(m) = -3*m - 43 + 20 + 30. Let g(l) = 5*c(l) - z(l). What is b(g(t))?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 8*n - 1. Give c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**3 - h**3 + 3*h + 2*h**3 + (-3 + 3 - 2*h)*(2*h**2 - 6*h**2 + h**2).\nAnswer: 8*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4 = 2*h, 2*h = -2*x - h + 27. Solve -5*r - 16 + x = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(2\/(-1 + -1)) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39 - -58. Let v = o + -5. Solve 5*d = 6 + v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -d + x, -5*x + 29 = 2*d - 2*x. Let v be (-30 - 18)\/(-12) + 376\/1. Suppose -18*u + d*u = v. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g. Let i be z(-2). Sort i, -0.6, -4, -5 in decreasing order.\nAnswer: -0.6, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g. Let l(i) = i**2 + 1. Let d(s) = -1. Let j(t) = -d(t) - l(t). Give f(j(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + 6, 0 = -3*f - 4*w + w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 397756 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b - 24 + 2*b**3 + 44 - 19 + 2*b**2 to the form t*b**2 + d*b**3 + l + a*b and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 1. Let u(k) = -k + 2. Let w be ((-2)\/(-4))\/((-5)\/(-310)). Let n = w - 22. Suppose -5*s - 7 = -4*y, 3*y + n = -s - 0. Determine y*d(z) + u(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3 + -97252172753?\nAnswer: -97252172751.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5*z - 299 = -4*x, -3*z + 297 = 2*x. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -6. Suppose -12 + 162 = 5*y. Suppose -y = -0*b - 3*b. Calculate the remainder when b is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 146540 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/5 + -7)\/4*(-98 + 24\/(-4))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3894\/5 + -779. Let j = -0.05 + -3.95. Which is the third smallest value?  (a) -2\/7  (b) z  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3212 + 5069. List the prime factors of w.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -1. Let u = 15 + -20. Let n(r) = -4*r - 5. Determine u*c(v) + n(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x - 5. Suppose -269*y - 168 = -297*y. Let t(j) = -3*j + 5. Calculate y*o(r) + 5*t(r).\nAnswer: -3*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + m + 1. Let z(s) = -45*s**2 + 48*s - 3. Let t(r) = -3*b(r) - z(r). What is the second derivative of t(p) wrt p?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -3, -15087, 2 in descending order.\nAnswer: 15, 2, -3, -15087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhbbhbhbhhhhh. What is prob of picking 2 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10\/3*k**3 - 2\/3*k**2 + 0 + 0*k - 3\/2*k**4.\nAnswer: -k**2*(k + 2)*(9*k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*f - 20*f + 3010 + 11*f - 3012.\nAnswer: -23*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -6*x + 1. Suppose -3*s = 3, 0 = -5*p + 3*s - 0*s + 253. What is the remainder when p is divided by l(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2974, -5947, -8920, -11893, -14866, -17839?\n\"Answer: -2973*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/6, 3, -10\/7 in decreasing order.\nAnswer: 3, -5\/6, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 18  (b) -0.4  (c) 11  (d) -0.027  (e) -0.1963\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2235 and 165?\nAnswer: 24585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (10 + 0)*(-32)\/(-80). What is the first derivative of r + 2*c**3 + 3 + 5 + 6*c**3 wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5150 + -1105?\nAnswer: -6255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/3, -3, 19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pcppppcpppcpcpcp. Give prob of sequence cpp.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 56112756*i - 168338241.\nAnswer: -3*(i - 18704249)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 42 - -177\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 12:55 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2222 + 2170 - (1 + 2 + -1) - -12?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138, -159, -198, -255, -330?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -27240.899276 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -693*u**3 + 2*u**2 - u - 3. List the prime factors of p(-1).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -160 - -367. Let x = w + -206.97. Sort x, -2\/3, -0.1 in descending order.\nAnswer: x, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/10*-2)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/6, 0.4, -7, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - (-909)\/(-240)) + 5\/(-25). Let o(k) be the second derivative of 0*k**2 - 3*k + 0*k**4 + 0*k**3 - u*k**5 + 0. Let o(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*c = 24*c - 138, -10 = 4*v + c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/9)\/((-80)\/30 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/15)\/(-1)*8\/48.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 377963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 151 + -152. Let z(j) = 123*j**2 + 1. Let v be z(m). What is the highest common divisor of v and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -494, -592, -742, -944, -1198?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*l + 13. Solve 4*i - 3*r - 2 = -0*i, 0 = -2*r - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3117 rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + 554172587.\nAnswer: 554172602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 11*u + 11. What is y(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (290 - 348) + (-3 - (-3 - -20) - -2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -10. Calculate the common denominator of 1 - 3 - 95\/(-16) and (-1527)\/(-210) + f\/14.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3737 - 3642. Sort -5, b, -2.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 + 53 = 6*m. Suppose n = -3*n + 4. Is (n + 0)*m\/(35\/(-3493)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 + -52 - (5 - -3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzwwzwzwzw. What is prob of picking 3 w and 1 z?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -1\/501964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -100 + 82. What is the hundreds digit of 2020\/18 - (-4 + (-76)\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-152)\/342 + (0 - (-3036577)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04422 + -0.12878. What is p rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 465 - 256. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 0.1, -169, -0.5 in descending order.\nAnswer: 0.1, -1\/4, -0.5, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/4)*q*(q\/q**6)\/q*q)\/(q**(-5\/9)*q*q*q**(-22)) assuming q is positive.\nAnswer: q**(587\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dtnncdcdnnt. What is prob of sequence nttc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31\/62)\/(2\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.17?  (a) 0.1  (b) -201  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + (-2 - (1 + -8)). Suppose 0*x = x. Suppose 5*s + 4*g = 40, -4*s + h*g - 3 + 4 = x. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25706555 + 0?\nAnswer: 25706555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 3303122122?\nAnswer: -3303122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.190779 - -4?\nAnswer: 4.190779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5200666353?\nAnswer: 3, 577851817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -609\/4?  (a) 2.9  (b) 4  (c) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of -k**7\/30 - k**4\/4 - 13*k**2. What is the second derivative of g(n) wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -29*k - 15. Let d(r) = -118*r - 62. Determine -2*d(t) + 9*q(t).\nAnswer: -25*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/2 of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 9*q - 2*q - q - 2*q. Let d(p) = 18*p. Calculate x(d(f)).\nAnswer: 72*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -t**6\/960 + 25*t**5\/8 - 15625*t**4\/4 + 7812500*t**3\/3 + 103*t**2 + t. Factor a(k).\nAnswer: -(k - 500)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 44\/66*1*(2 - -1). Let c be ((-7)\/21)\/(a\/6) + 1. Suppose 0 = -2*v, v = 5*w - c*v - 20. What is the smallest common multiple of w and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v - 17. Let h be u(-10). Suppose 4*a - 9 = h*w, -2*a - 6 = 4*w + 6. Factor a + 2\/7*s**2 + 4\/7*s - 2\/7*s**3.\nAnswer: -2*s*(s - 2)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246401479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {i: 7, m: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/7 greater than 1312\/25155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5820003 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2035.87 + 2036. What is the biggest value in -0.2, -4, k, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(2\/3))**(-2\/9)\/(h\/h**(1\/4)*h**(-1\/10)*h)*((h**(5\/4)*h)\/h*h*((h*h\/h**(-1)*h)\/h)\/h)**(-42) assuming h is positive.\nAnswer: h**(-97321\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -678507 + 678795. Let h be 2*1 - 0\/(-2). Suppose -2*f - 4*c + 68 = 0, 106 = f + 2*f + h*c. Calculate the greatest common factor of f and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2 + (54 + 57 - 42)*(-1 + 0 - 1))*(6 - 2*p**2 - 6).\nAnswer: 280*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 12:31 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9303, 8949, 8077, 6429, 3747, -227?\nAnswer: -5751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 5*o - 5986515 = -9*z, -3*z + 5986506 = 2*o. Round z to the nearest ten thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 take away -124083473?\nAnswer: 124083360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + 1. Let c(z) = -7*z**2 + 4*z - 2. Let x(g) = -29*g**2 + 16*g - 9. Let f(b) = r*c(b) - 2*x(b). What is the second derivative of f(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 58 and 6177?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 19*c**3 - c**2 - c + 1. Let x = 2 - -3. Suppose 0 = x*t + 2*g - 9, -t + 2*t = 3*g - 5. List the prime factors of p(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -78 - ((1 - (0 - -20)) + 29 - 10)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 145685 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 220 + -210. What is the greatest common factor of 130 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1069, -2, 5, -4, 3.\nAnswer: -1069, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38059.\nAnswer: 7, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9787 divided by -1.\nAnswer: 9787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.4 - -0.6. Let b = -10 + p. What is the nearest to -0.1 in 2\/9, b, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(3\/7)*d**(-4))**(2\/7)\/((d\/(d\/(d*d**(5\/2))))\/d*d**(3\/4))**(-1\/29) assuming d is positive.\nAnswer: d**(-3539\/5684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + -46. Let q be (1 - (-8)\/2)*(-30)\/u. Solve -c = q*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7 or -6763?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 36 = -6*u. Suppose 0 = 4*z - u*f + 13, -2*f - 34 = 4*z - 0*f. Which is smaller: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xww when three letters picked without replacement from ixwiwxxxxxxxwxx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u*x**6 + 1584*u*x**2 + 2*u*x - 368*x**6 wrt x.\nAnswer: 240*u*x**3 - 44160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*w - 16315 = -16031 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 9:22 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-8))\/((-7)\/((-168)\/(-90))).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + 2*k - 4*k)*(0 - 2 + 0) - 4*k - k + 4*k + (-30*k + 64*k - 33*k)*(-1 + 1 + 1) + 6*k + 0*k - k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1519198, 1519203, 1519208, 1519213, 1519218, 1519223?\n\"Answer: 5*x + 1519193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -154\/5679 or 1?\nAnswer: -154\/5679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**3 - 2*a**3 + 2*a**3 + 9*a - 9*a - 5*a**3 + (3*a + 17*a - a)*(6*a**2 + a**2 - 2*a + 0*a**2).\nAnswer: 129*a**3 - 38*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/36)\/(14\/(-3) - -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 914885070?\nAnswer: 2, 3, 5, 11, 41, 67619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8, -7, -6, -5, -4, -3?\n\"Answer: u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 44*w**2 + 674*w - 98. Let s be b(56). Put 5, 2, 4, s, 0 in increasing order.\nAnswer: 0, 2, 4, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2633, -2631, -2629?\nAnswer: -2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 483157 and -2\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -3011642\nAnswer: 3011642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*d*x*y**2 - 1133130*d*x + 2*d*y**2 - 2*d*y + 7*x*y**2 - 1033*y**2 wrt y.\nAnswer: -48*d*x + 4*d + 14*x - 2066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - 8 - 7 + s in the form k*s + m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*h**6 - 3135*h**4 + 4*h**3 - 31*h**2 + 3*h + 2?\nAnswer: 240*h**3 - 75240*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 143\/165 + (-6)\/(-45) - (11 - 11). Is -4\/299 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35 and 4970.\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 86 + -115 + 157 + -180?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4636 divided by -3647\nAnswer: 4636\/3647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - 12436260.\nAnswer: -12436273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 9, n: 3}. What is prob of sequence lnl?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**3 - 31*h**2 - 18*h + 13. What are the prime factors of x(-15)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 11180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -7. Let c(x) = -x**2 + 12*x + 15. Let s be c(13). Suppose -s*b - 19 + 13 = 0. Put w, b, 1 in descending order.\nAnswer: 1, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5*o = 18, -5*a = -2*o - 3*o - 90. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/4 - 89*r**2\/4 + 293*r\/2 - 246.\nAnswer: (r - 82)*(r - 4)*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3292207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 288277 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 10*q. Let s(w) = -3*w - 12*w + 15*w + 17*w**2 - 20*w**2. What is s(y(o))?\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.03 - 0.47. Which is the closest to 3?  (a) 2  (b) 1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of t**6\/90 + t**3\/2 + 5*t. Let r(a) be the second derivative of s(a). Let y(w) = -w. Calculate y(r(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m**4 - 355621040*m**3 - 6323315137670870*m**2 + 37939900427793840*m - 56909855442575205 = 0. What is m?\nAnswer: -35562107, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3341 and -117012?\nAnswer: -390937092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b = -14*b. Suppose b = l + 68 + 8. Let m be -3 + (0 - l\/20). Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = -4*h + 2*h, -5*h - 10 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010 - 1100011?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -132534 or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -7. Suppose 3*b - 3 = -w*l, 5*l - 2*b = -4 + 2. Which is greater: l or -11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 5*s**2 - 6*s - 14. Let x be m(7). Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 89 = -81. What is the greatest common factor of 85 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*b - 9*b + 84 = 15*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 146109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**5 + 5090*q**4 + 5092*q**3.\nAnswer: -2*q**3*(q - 2546)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 772638087?\nAnswer: 3, 13, 1523941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -37*b**3\/8 + 2929*b**2\/8 + 1243*b\/4 - 60.\nAnswer: -(b - 80)*(b + 1)*(37*b - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = q - 2246, 2*t + 6738 = -q + 4*q. List the prime factors of q.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -210 - -3003121200?\nAnswer: 3003120330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/(-14) + (-265)\/126 and (-1134)\/(-96) + -5 + (-1 - 1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l**3 - 210*l**2 - 2205*l = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 2, -18, 1 in descending order.\nAnswer: 2, 1, 0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 6:14 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/18 and 119\/190?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -222 + 322. Let y = 31 + k. Let x = y - 130.9943. Round x to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 + h - 1. Let o be p(1). Let k be (o\/(-2))\/((-7)\/28). Let w(v) be the third derivative of v**4\/24 - v**3\/6 + 18*v**2. What is w(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g + 2. Let r be c(-3). Suppose -2*h - 27 = 3*k, -r*k - 4*h + 9*h = 45. List the prime factors of k*(2 - (-1 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 w when three letters picked without replacement from {l: 3, w: 1, g: 4, a: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 5*h = 2 - 0, 5*h = 0. Let a be (-1*i)\/((-3)\/12). Calculate the highest common divisor of a and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1365 + 685 + 681 + 185*v + 48*v + 2*v**2 in the form z + l*v**2 + i*v and give i.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: a2f3e2 (base 16) to base 7\nAnswer: 156525613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 958628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -85, -81, -77, -73?\n\"Answer: 4*p - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + 4*j**2 + 10*j + 20. Calculate b(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/28*-3*(60\/180)\/((-1)\/(-1))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 814*x + 13. Let n be z(3). Suppose -22*c + 27*c - n = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1842, -1840, -1838, -1836, -1834, -1832?\n\"Answer: 2*g - 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -31.99 and -0.037.\nAnswer: 1.18363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 7) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g**5*n - 9205*g**4*n**2 - 2*g*n**2 + 1059*n wrt g?\nAnswer: -20*g**3*n - 110460*g**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45 - 40.1. Let p = o + 0.1. Let u = 3.17 + -0.17. What is the second biggest value in p, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of -3\/4*f**4 + 0*f**2 + 6*f**3 - 14 + 0*f. Let p(j) = 0. What is j?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 5:00 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12944274 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1143828, -2287694, -3431560, -4575426, -5719292?\n\"Answer: -1143866*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wyywhghhh. What is prob of sequence gw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 + 2*l**2 + 5*l - 3. Let j be s(3). Suppose 15*z = j*z + 12. Let n(a) = 9*a. Calculate n(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 4*m + 5. What is the tens digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*r + 1 - 1)*(-5 + 0 - 9)*(-1 + 5 - 2) + (-2 - 2 - 2)*(1 + 1 - 3)*(0 - 2*r + 0).\nAnswer: 212*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 1665*o + 24948. Let n be y(-15). Let g = 4.7 - 5. Which is the closest to 0.1?  (a) -1\/4  (b) g  (c) 3  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-11))\/(628\/41448).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/(sqrt(256)\/sqrt(4)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, o: 1, w: 1, p: 1, e: 6}. Give prob of picking 1 p, 1 w, 1 e, and 1 o.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/9)\/(4\/18). What are the prime factors of (l\/(-4))\/((-3)\/24) + 170?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 11) to base 13.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 318377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18.9999892 - 19. What is l rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 b when three letters picked without replacement from pbpbpbkbpbppkpkbbpbk?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -7. Is 7 a factor of (-10 + 4)\/o + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(14\/20 + -1). Let z = -9 + 11. Let i be (0 + z)*(-5)\/(-2). Calculate the greatest common divisor of i and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by 44?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -10*(-3)\/6 - (-16 - -21). Solve g = 5*w + 5 + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1 - 1 - 7 + 7 + 6*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/120576 and 25\/314.\nAnswer: 120576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 13. Let l = d - -7. Which is the second smallest value?  (a) -3  (b) l  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8, 22119706 in decreasing order.\nAnswer: 22119706, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 909537 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -1032*l - 12. Suppose 92 = -4*m + 8*m. Let w = m + -14. Let t be d(w). What is t rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2795 + 304. Suppose 0 = -3*v - 3*n + u, -v = 3*n - 451 - 580. Let h = v + -157. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -l + 3*q, -2*l + 4*q - 15 = 5. Let y be 25891\/9 + 1\/(-27)*l. Suppose j - 4192 = y. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 + -3 + 1*-1. Let n be -4 + 2 - (l + -1). Let j be 3 - 3 - 2600\/n. Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 95 + -91. Sort 3\/2, -0.3, v, 0.\nAnswer: -0.3, 0, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5.41 and -32.7178633.\nAnswer: -38.1278633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-35) - (-4)\/14. Let v be 12934\/(-66008) + (-4)\/74. Let x = -187\/6 - -31. Which is the fourth smallest value?  (a) x  (b) k  (c) v  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 206 and 317360?\nAnswer: 32688080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 7*g + 9. Let k be h(-4). Let p = k + -24. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 10:06 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1025969821.\nAnswer: 59, 107, 162517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61.6 - 64. Which is the closest to -0.2?  (a) -1\/2  (b) 1\/4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11768143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-3) - (-5 + (-112)\/(-21)). Which is the biggest value?  (a) r  (b) 3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2) + (20 - 14 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = i - 80. Let q = i - -24. Suppose -2*s + q*s = -3*r + 65990, 3*s + 15 = 0. Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 5*o**2 + 11*o + 32. Calculate b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14990 (base 12) in base 4?\nAnswer: -13011330","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Express 3256*g**3 + 854 - 1080*g**3 - 1088*g**3 - 1087*g**3 as b*g + h*g**3 + t*g**2 + c and give c.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -16*o - 14. Is n(-6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*j - 14 = 0, 3*j - 34 = 5*u + 36. Let q(y) be the first derivative of y**3\/3 + 11*y**2\/2 + 10*y + 91. What is the tens digit of q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -4*y + 20, -y - 4*l = -20 + 2. Suppose 2*m = -4*s - 12, 3*s + y = -5*m - 0*s. Solve 0 = -x + m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9344\/40)\/(6\/(-10)). Let c = 11431\/30 + a. Find the common denominator of c and -61\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 7*j**2 + 8*j - 16. Suppose 0*y + 7 = y. List the prime factors of m(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.77243337 to two dps.\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/2223945 and -35\/584?\nAnswer: 17791560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19348588289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 281523 by -57.\nAnswer: -4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -194 divided by -10868\nAnswer: 97\/5434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-62*q**3 + 2 - 1 + 48*q**3)*(-32 + 21 + 24) in the form c + g*q + k*q**2 + l*q**3 and give l.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/5*(-240)\/(-192). Factor 1\/4*g - s - 1\/4*g**3 + 3\/4*g**2.\nAnswer: -(g - 3)*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*1*((sqrt(121)\/(sqrt(11)*-2) + -3 - (sqrt(1584)*1 + (sqrt(66)*-2)\/sqrt(6))) + 0)**2.\nAnswer: 378*sqrt(11) + 14661\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/49136 and 55\/34192514.\nAnswer: 273540112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1492 divided by 14\nAnswer: -746\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.6444 - -0.1285. Let r = -0.47 - a. Let h = -27.2541 - r. Round h to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (25\/(550\/(-1584)))\/(3\/(-2)). What is the greatest common divisor of 678 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**2*i**2*p - 698628*f**2*i**2 + 26*f**2*p + 636*f*i**2 + 25*f*p + 4*f + 3*i**2 - 3*i*p wrt f?\nAnswer: 4*i**2*p - 1397256*i**2 + 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 9:58 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1098 in -2\/9, -1\/6, -2\/21, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n**3 - 1865 + 1865.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17\/(3 + -5 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53, -226, -515, -920, -1441, -2078, -2831?\nAnswer: -3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4850 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of 0*i + 26 - 4\/25*i**5 + 3\/4*i**4 - 8\/15*i**3 - 3\/10*i**2. Factor w(g).\nAnswer: -g*(g - 3)*(g - 1)*(4*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 7*z + 2*z = 46, -r = z + 16. Let c = r - -17. Solve 4*f + c = 2*q - 4, 7 = 2*q - 5*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -341*d = 124 - 239 - 1590 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/132 and -111\/10076.\nAnswer: 30228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 9861 = 5*i - 3977, 5*c - 29600 = -5*i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -162*18\/(-150255) + 4\/(-70).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1819 (base 11) to base 9\nAnswer: -3156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -450037 + -50?\nAnswer: -450087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {v: 4, m: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h - 61. Find the common denominator of (-1)\/(-4) + (-101)\/(-108) and m(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33794980?\nAnswer: 2, 5, 17, 99397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2327?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -17*b**3 + 2*b**2 + 1. Give p(2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 57165821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 5, -494 in ascending order.\nAnswer: -494, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0\/(-2)*(7 + -6))\/2. Suppose 5*j + 2*j + 56 = h. Is 820 + (-2)\/j*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**3 + 3*u**2 + 2*u + 2. Let h(l) = -l**3 + 4*l**2 + 1. Let q(p) = -3*h(p) + 2*s(p). Let m(c) = -c**2 + 2*c - 6. Let g be m(2). What is q(g)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*z - 2*b, -5*b + 2 + 22 = 2*z. Let l = -3 + z. Is l > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -3. Is 18 a factor of (-222)\/q*2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 76409 + -76408.99999932167. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l. Let i(y) = -4*y - 5. Let r(g) = 3*d(g) + i(g). Let j = 4 + -2. Let s = 2 + j. Let q(z) = -z - 6. What is s*q(a) - 5*r(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 10, 2*o + 134 = -2*k - 96. Let c = k - -129. What is the least common multiple of 878 and c?\nAnswer: 5268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) + 1 + sqrt(18)*4)*2.\nAnswer: 2 + 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 3:40 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 4, 0.05, 3, 2036 in increasing order.\nAnswer: -0.3, 0.05, 3, 4, 2036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(-3))\/1*(-2)\/(-21)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9630*s + k = -9629*s + 8, -4*s - 8 = 2*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 6*g - 4. Let r be a(3). Let x = r - -1. Differentiate -x*j - 6 + 8*j - 2*j with respect to j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 126596, 126597, 126598, 126599?\n\"Answer: p + 126595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216575 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 26871244 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 575356005 + 3?\nAnswer: 575356008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 37.6 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 370575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*l - 561 = -6*l, -1669 = -3*s - 5*l. What is the remainder when s is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -51.6 + 49. Let y = 4.6 + d. Let h = 7 + -11. Sort h, -5, y in decreasing order.\nAnswer: y, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 1763*x + 78 = 1769*x, 4*q + 57 = 3*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -s**4\/18 + 2*s**3\/9 + 85*s**2 - 917*s. Factor m(h).\nAnswer: -2*(h - 17)*(h + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 47*t**3 + 84*t**2?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 303 + -15666?\nAnswer: -15363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -1. Suppose 0 = -t + k. Is t\/2*-1 + 6 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 4:22 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (0 + 1) - (-31 - -5 - -33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 4, -0.2, -1, 0.78?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*v = 542, 3*u - 3*v = u - 360. Let l = 204 + u. Which is greater: l or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -14*v**5 + 4330*v**4 - 67820*v**3 + 299080*v**2 - 408176*v + 93760 = 0.\nAnswer: 2\/7, 2, 4, 10, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -5*q + 5, -2*g - 5*q = g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1567838 - 43.622647?\nAnswer: -1567881.622647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 5*i + 12. Let z be ((-6)\/i)\/(9\/60). Suppose 2*h = -3*h + 10. Calculate the greatest common factor of z and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, o: 4, f: 7, t: 1, d: 4}. What is prob of sequence fff?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**(-2\/7)\/h*h))\/(h**24\/h*h)*h**(-22)\/(h\/(h\/(h*h**21*h)*h*h*h)))**39 assuming h is positive.\nAnswer: h**(-17667\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7671 + 7257 = 24*l. Let n = 629 - l. Solve -2*i + n = -c, 2*c - 5*c = -5*i + 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-266)\/(-3) + 2\/6. Let s = y + -36. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l**3 + 55*l**2 - 417*l + 570. Give m(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -22824965 and 0.02?\nAnswer: -456499.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 3:58 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 4, 0.1, -0.0316, -2 in decreasing order.\nAnswer: 4, 0.1, -0.0316, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p**3 + 23*p**2 + 14*p - 36. Determine z(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2*y + 16653108 = 0, -3629405 = 5*d - 4*y - 45262177. Let g be ((-30372416)\/4)\/2 + -4. Let q = g + d. Round q to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 61 + -52. Suppose -5*n + 3*m = -19, n = 4*m - a*m - 13. Solve -5\/2*p - 3\/4 - 1\/4*p**4 - 3*p**n - 3\/2*p**3 = 0 for p.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b*f*m - 4*b*f + 10*b*m + b - 6*f*m + 3*m wrt f?\nAnswer: -2*b*m - 4*b - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 91703 = 5*q, 36677 = -15*q + 17*q + y. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -8. Factor 3*v**3 - 4*v**2 + 2*v**4 + g*v - 2*v**5 + 2*v**4 - 3*v**3.\nAnswer: -2*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1222.1 - -1221.7. What is the second smallest value in 1\/3, -5, 0.3, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 2. Suppose -19 = -v + 2*c, -2*v - z*c + 94 = 32. Let h = -39 + 57. What is the greatest common divisor of v and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1644)\/(-1370))\/((-2)\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p + 20, 3*j + 67 = -5*p + 75 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 487941754 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 - 8*i + 1. Let n be u(-7). Suppose -4 = -m + l, -5*m - l = l + n. Suppose o + o - 14 = m. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 528 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178203513 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -434 - -1?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3 + (-3 - -18*6) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 1\/36  (c) -0.3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(22\/5)*r*r**(2\/65))\/(r**(-29)\/(r*(r*r*(r\/(r*r**(-17\/4)))\/r)\/r*r)) assuming r is positive.\nAnswer: r**(10837\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 155530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 177\/15 - 2\/(-10). Let v = g - 20. Let m be 4\/(-16) + (-10)\/v. What is the nearest to m in 0, -2\/5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, -0.1, 15, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + 9\/3 + 1. Find the second derivative of c**3 - i*c - c**3 + c**5 wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -67*i + 457*i - 3 - 204*i - 6*i**2 + (-4*i - 3*i + 5*i)*(-2 - 2*i + 2).\nAnswer: -2*i**2 + 186*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -1727*t**2 + 51805*t + 65. Give p(30).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 11*g + 115 + 43 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*a**(-24\/11))\/a)\/(a\/(a**(-8\/13)\/a*a)))\/(a\/(a\/a**23*a*a)*(a*a*a*a**(2\/3)*a)\/a) assuming a is positive.\nAnswer: a**(-11782\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -27, 3\/8, -11, 124, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, d: 4, g: 5, j: 5, a: 4}. What is prob of sequence gsj?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55.96 + -53. Let u = p - -0.04. Let s = 2317 + -2323. What is the nearest to -0.1 in 2, s, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -165 - -328. Suppose 0 = 5*x - t + 53. Let s be ((-3)\/4)\/(2\/(-352)). What is the highest common factor of x and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3737 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 55*l**2 - 749*l - 37. Calculate j(25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -o**3 - 884*o**2 + 23660*o = 0.\nAnswer: -910, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 776, 3735, 8446, 14903, 23100, 33031, 44690, 58071?\n\"Answer: -z**3 + 882*z**2 + 320*z - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 8\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39.3 - 48. Let o = r - -0.7. Suppose -3*h = 67*c - 62*c + 3, 2*h - 2 = -2*c. What is the third biggest value in 0, o, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of v**5\/15 - 5*v**4\/24 + v**3\/2 - 7*v**2. List the prime factors of m(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -822 + 279 = 3*d. Let x = -19 + d. Let p be x\/(-6) + 3\/(-9). What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1042134689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 14*w + 35. Let n be t(-16). Factor 4*j**2 + n*j**3 - 18*j + 6*j**2 - 5*j**3 + 2*j**2.\nAnswer: -2*j*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 30 = -2*u. Suppose u - 3 = n. Let h(p) = 0*p + p - 2 + 2 - n. Calculate h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of b**5\/10 - b**4\/12 + 3*b**2\/2 - 19*b. Let q be i(2). What is the first derivative of -102*v + 45*v - 2 + 36*v - q wrt v?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 493949153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x + 1. Suppose -6*m = -9*m + 9. Let p be b(m). Let i(n) = -6*n - 14. Let q(y) = -3*y - 7. Let w(t) = 2*i(t) - 5*q(t). What is w(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*z + 5*t - 18, -5*t - 31 = -3*z. Let s be 1 + -5 + z + 0. Suppose 22 = -s*n + 5*n. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/sqrt(36) - -5*(sqrt(5) + -1 + sqrt(5)).\nAnswer: -5 + 31*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 228 + -128. Suppose -39 = i - g - l, g - 110 = -2*i. Let p = i - 6. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y**2 - 715060*y - 715065 = 0. Calculate y.\nAnswer: -1, 143013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t + 1. Let k be u(-4). Let x(s) = s**2 - 4*s. Let d be x(4). Suppose d = 4*p - 3 - 1. Put -2, p, k in decreasing order.\nAnswer: k, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 961 - 961.2. Let g = -2186\/9 - -28388\/117. Is g greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -1401?\nAnswer: 1\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 4*d - 3*f, 3*f = 0. Suppose i + 15 = -4*n + 41, 0 = 5*n. Suppose d = s - i. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11623 + -11087. What is the remainder when v is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 23, 70, 155, 290, 487, 758?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5\/((-30)\/4))\/((-12)\/18). Which is the nearest to k?  (a) 0.1  (b) -80  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 23, 33, 55, 95, 159, 253?\n\"Answer: j**3 + 3*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 1:43 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 3*m + m)*(m - m + m**3) + (m**3 - 4*m**3 + m**3)*(3*m - 7*m + 3*m)*(-3 + 2 - 1).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 0.3, -56.932 in descending order.\nAnswer: 15, 0.3, -56.932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 28 - 56 = 0. Calculate the remainder when 111 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2 = 3*p, -s + 3*s = -3*p + 8. Let f(r) = 3*r**2 + 3. Let w(q) = -q**2 - 1. Determine p*f(j) + 17*w(j).\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -427709*d + 16*d**2 + 25 + 427709*d + (-d + 2*d + d)*(-1 + 1 - 2*d) to j*d**2 + h*d + f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 1. Let t = 8 - r. Let n(q) = -3*q - 58. Let u be n(-19). What is the nearest to t in -4\/5, u, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pptptptpttptptttttt. What is prob of sequence tt?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-4) + 70\/8. Let a = d + -2. Suppose a = -2*q + 4*q. Solve 0 = -4*h - 12, -4*h = -q*v - 0*h + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4\/265, -62, 2, 0.43, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 12:34 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -120 + -466?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3193, 6306, 9419, 12532?\n\"Answer: 3113*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 306.3191 millilitres in litres?\nAnswer: 0.3063191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-6)*3\/7. Let v = 0.86 + 0.14. Put 2, t, v in increasing order.\nAnswer: t, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 17\/3 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 28849050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 392901 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -2498, 1, -14 in decreasing order.\nAnswer: 1, -4, -5, -14, -2498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 378*r + 10*r**3 - 8*r**3 + 1800*r - 132*r**2 = 0?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*(-104)\/((-397488)\/5226)\nAnswer: 134\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000008847532 to 7 dps.\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 2*o + 4*o + (2*o - 6*o + 2*o)*(1 + 4 - 3))*(-2*o + 5*o - 9*o)*(-3 - 3*o + 3).\nAnswer: -54*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 96 = -21*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/41566 and 7\/8004424.\nAnswer: 56030968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 19*o**3 + 79*o**2 + 27*o + 21. Let r(n) = -9*n**3 - 38*n**2 - 12*n - 9. Give -7*r(k) - 3*z(k).\nAnswer: 6*k**3 + 29*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3*a - 79. Let s be d(-27). Suppose 2*g = 6, -4*u - g = -s*u - 15. Let i(t) = t + 1. Determine i(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, d: 2, u: 2}. Give prob of sequence ffd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3475519234 - 0.147922?\nAnswer: -3475519234.147922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 5*c + 4*p, 147 = -c - 2*p + 141 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = 891*g - 886*g - 35 - 30, 0 = -g + 167*v + 181 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 105 + -101. Solve -2*d = 2*d - 2*t - 10, -2*d = -4*t + v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 8*x**2 - 2*x - 5. Let a = -4 - -10. Suppose 0 = -m + 26 + a. What is the remainder when m is divided by b(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/5)*t**(2\/21)\/t)\/(t**6\/t**4) assuming t is positive.\nAnswer: t**(-284\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(209)*2 - sqrt(209) - 1*-2*sqrt(209))\/(3*(sqrt(1100) - 2*sqrt(1100))).\nAnswer: 11*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 3*u + 10 = -2*o, 18 = 2*o + 4*u. Suppose x = o - 6. Let a be x*9\/(-30)*4. Solve 2*j = a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1150587877 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u. Let h(c) be the first derivative of c**5\/60 - 2*c**3\/3 - 5. Let o(a) be the third derivative of h(a). Give o(v(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.5 + -0.3. Let u be -1 - ((-644)\/216 - -2). Let k = u - -29\/108. What is the nearest to k in o, -0.2, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1159228095 and 224972.\nAnswer: -1159003123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 11*z + 4*w + 264 = 0, -377 = -4*z - 3*w. What is the remainder when z is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4 = 0, -5*v + 179 + 212 = y. Let s = 115 - v. What is the remainder when 141 is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 281128154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -17 from -17.5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 1:51 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - -19. Suppose -3 - 23 = -2*v + 4*z, -v + 5*z = -w. Suppose 0 = -7*j + v*j - 8, -4*j - 23 = -3*b. Solve -b - 1 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000209562675 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -4) + -1 - (-6 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15173254 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39\/108 - (12 - 10)\/18. What is the second smallest value in -2\/11, a, -25?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/951463 and 14\/10466093.\nAnswer: 10466093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30447033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -4.4. Let o be 0\/(8 - 3) + (-9486)\/(-6). Let d = o - 4741\/3. Which is the smallest value?  (a) d  (b) 0.5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 5*x**2 + 5*x - 4. Let o be h(4). Let y = 2\/1381 + 133937\/13810. What is the common denominator of y and (18\/69)\/((-6)\/o)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109*f - 232*f + 120*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2454*h + 31 + 32 - 99 + 38.\nAnswer: 2454*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -637  (c) 1\/3  (d) 2\/9  (e) -3  (f) -1.8  (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 0*m - 6. Let g(t) = 3*t + 8. Let x be g(m). Let h be (-12)\/3*(-5)\/x. Let c(q) = -q**3 - 2*q**2 - 2. What is c(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 1353 + 9683 = 0. What is m rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 4937*t**4\/3 - 44431*t**3\/3 - 6*t**2 = 0.\nAnswer: -2\/4937, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 336 - 536 = -4*v. Calculate the remainder when 649 is divided by v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -76.48185 to 2 decimal places.\nAnswer: -76.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 350 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -g**6\/120 + 2*g**5\/15 + 5*g**4\/12 - 5*g**3\/6 - 18*g**2. What is the remainder when b(7) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5085725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 983257437 to the nearest one million.\nAnswer: 983000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/54*-3)\/((-339)\/(3027609\/(-2290)))\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 2*q - 10 - 10)*(-29 - 2*q - 34 + 58).\nAnswer: 4*q**2 + 50*q + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1  (b) 0.1  (c) -0.03  (d) 8\/3  (e) -0.094  (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -72, 4, 5, 18 in increasing order.\nAnswer: -72, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate s**3*w**3 + 9*s**3 - 11354*w**3 + 3*w**2 + 128 with respect to w.\nAnswer: 3*s**3*w**2 - 34062*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*k + 608526 = 126*k - 40667. List the prime factors of k.\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 2 - 3*h**3 + 86*h - 81*h + h**3 - h**2. Suppose -31 = p + 5*o, 10 = -2*p + 3*o - 0. Let r = p - -8. Calculate f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 65  (b) -155  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 10*j. Let i(r) = r. Let b(s) = -5*i(s) + x(s). Let n(d) be the first derivative of -d**3\/3 + 43. Determine n(b(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 70, -3591\/44?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 514230 divided by 6.\nAnswer: 85705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 - 10 = 2*p + 3*y, p + 16 = -2*y for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (25 + -26 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 4*w. Let u(p) be the second derivative of -2 + 0*p**2 - 3\/2*p**3 + 19*p. Give a(u(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 615350.2ml to litres.\nAnswer: 615.3502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -20*l. Suppose 3*m = 5*w - 22, -m - 3*w - 8 + 24 = 0. Calculate t(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -2 + (-4 + sqrt(180))**2 + (4 + ((sqrt(5) - sqrt(20)) + -3)**2)*5.\nAnswer: -18*sqrt(5) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 278 - 286. Factor 32*w**3 - 11*w**2 - 7*w**2 + 2*w**t + w + w.\nAnswer: 2*w*(4*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -9*q**5\/5 - 28596*q**4\/5 - 95229*q**3\/5 - 5706*q**2 + 114276*q\/5 + 38088\/5 = 0?\nAnswer: -3174, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 6:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126449 and 23467?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p - 209 = l - 224, 0 = -p - 24*l - 316 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (56 - (15 - -26)) + (0 - 58).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*n = 396 - 440. Solve n*h + 4*x - 2 = 0, 2*x + 111 = -5*h + 92 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -579*b + 372*b - 543*b.\nAnswer: -750*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 20 = -4*g. Suppose -2*j + 50 = -g*o, 3*j + 4*o - 54 = 3*o. Is j 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) -3  (b) -2  (c) -0.89  (d) 7\/5  (e) 16  (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11828176 to the nearest integer?\nAnswer: 3439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 12022*d. Let q(a) = a**2 - 457. Give q(z(k)).\nAnswer: 144528484*k**2 - 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*k - 15*k + 52*k - 17*k - 10*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, n: 2, m: 2, c: 10, v: 2, s: 3}. Give prob of sequence cc.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o - 2. Let h be j(1). Suppose h = 7*w - 4*w. Suppose 5*v - 19 - 66 = w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kezkzzkmzzmmmeewkyky. Give prob of picking 1 z, 1 y, and 2 m.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that l**3 - 1362*l**2 + 45441*l - 383792 = 0.\nAnswer: 17, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x + 10 + 3 = -26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/8)\/(141*2\/(-24)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 14*k + 11. Let g(t) = t**3 - 3*t**2 - 5*t + 3. Let d be g(3). Calculate the remainder when n(d) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12363138.\nAnswer: 2, 3, 283, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in sixty-one quarters of a century?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 10:32 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 10*s - 12. What is n(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -560*h**4 - 242*h**2 - 5*h - 3. Let s(n) = 558*n**4 + 243*n**2 + 4*n + 2. Let v(t) = -3*s(t) - 2*z(t). Find the third derivative of v(y) wrt y.\nAnswer: -13296*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -25. Suppose -b*x - 620 = -5*x. List the prime factors of x\/(-3) - (-26)\/(-39).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5849.0964 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**2 + 7*x + 2. Let c be z(-6). Let u be 1\/3 - c\/24. Let n(p) = -3*p + 7. Calculate n(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13648 and 144?\nAnswer: 122832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 234070 divided by -1315\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 288258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4024204 (base 5) to base 11.\nAnswer: -44349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k + 4. Let g be i(3). Suppose 0 = -2*v + 3*s + 10, 4*v + v - 3*s = g. Which is the closest to -1\/9?  (a) -1  (b) v  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 137.345 to 0 dps.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1007 + 46*l + 1007 - 49*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -928 divided by -116.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 2*h**3\/3 - 5*h**2\/2 - 8*h - 3. Let f(n) be the first derivative of -n**3\/3 + 2*n**2 + 7*n + 329. What is 4*b(i) + 5*f(i)?\nAnswer: 3*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((1221\/18)\/(-11))\/((-19)\/114). Suppose -2*i = -i + 33. Let u = m + i. Sort u, -3, 3 in decreasing order.\nAnswer: u, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70200 and 1448200.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - 5 - (2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = 4*r + 39, -r + 59*s - 63*s - 26 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 2*b**3 + 0*b)*(-3 + b + 3) + b**4 + 0*b**4 - 4*b**4 + (0 + 0 + 2*b**2)*(-3*b**2 + 2*b**2 + 2*b**2).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -c + 10106, 0 = -c - 18*m + 23*m + 10086. List the prime factors of c.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10 + (-122)\/(-14))\/(3\/2). Put 0.05, i, 1\/3 in increasing order.\nAnswer: i, 0.05, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -312378 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + (-18501)\/(-819) + (-30)\/(-9).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20043282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38343940 is divided by 2925.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 20*b**2 - 22*b + 23. Let u be z(21). What is the third derivative of -4*c**5 - 8*c**5 - 694*c**2 + 663*c**u wrt c?\nAnswer: -720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 105\/40*-4*(-3)\/(-9)*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (100\/6 - 214\/(-642))\/(23 - (-2641)\/(-114)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -140 - -140. Which is smaller: d or 5.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10002102100020 (base 3) in base 4?\nAnswer: -12100313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 6*p**2 + 2*p + 2. Calculate the remainder when 65 is divided by q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 41.7  (b) -4  (c) 5  (d) -4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, g: 7, u: 2, q: 1, d: 4}. Give prob of sequence dqd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 135 + -290. Let r = 154.913 + s. Let z = 0.08637 + r. What is z rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 = -37*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/4)\/((-1)\/(-8)). Suppose 0 = -88*a + 90*a - 36. Let j = t + a. Solve 5*c - j = 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 503*y**2 - 9*y + 13. What are the prime factors of q(3)?\nAnswer: 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 5 + -2 + 50 - 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -1441*t - 34593. What is p(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 30*h**2 + 0*h + 0*h - 34*h**2. Let v(o) be the first derivative of o**3\/3 + 1. Determine k(v(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - (-11 - (-36 + 19))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -8*r**2 + 9*r - 6. Let w be a(5). Let c = 175 + w. Solve -3*b + 4*q + c = 0, 0 = -b - 2*q + 3*q + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.1 - -2.1. What is the third smallest value in n, -14, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/11 + 34*f\/11 + 140\/11.\nAnswer: 2*(f + 7)*(f + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -4. Suppose 3*g - 2*x = x + 72, 4*g = -w*x + 69. Suppose 3*r - 16 = -t, -3*t - 4*r + g = -37. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5772517 rounded to the nearest one thousand?\nAnswer: 5773000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 453*r - 124048 + 31060 = -1322*r + 53*r for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*11*9\/297*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 120 and 780?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27323?\nAnswer: 89, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/10*-2 + 846\/90. Let g be (-6)\/(-4) + 7\/(-2). Let z = k + g. Is 6 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3 - 56*d**2 - 60*d.\nAnswer: 4*d*(d - 15)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -272*y + 16867. Let c be n(62). Let r(z) = 3*z**2 + 17*z - 2. Let k(t) = -t**2 - 8*t + 1. Suppose 0 = 2*a - 3*a + 7. Give a*k(f) + c*r(f).\nAnswer: 2*f**2 - 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 3, -1214874 in descending order.\nAnswer: 7, 3, -1214874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, -1\/9, -2, -34\/41, 1, 10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10700.2 + 10700. Which is the nearest to p?  (a) 3  (b) -1  (c) -3\/2  (d) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r - 2*r - 4*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*((-114)\/(-76))\/((-9)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3968 by 992.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 189600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 139\/6?  (a) -96\/19  (b) 4\/7  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 5. Suppose -t + v = 4*t. Let b(l) = l**3 - 2*l**2 + l - 4. Let f(c) = -c**3 + c**2 + 1. Let j(u) = b(u) + 3*f(u). Determine j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 185375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 + 2*x**2 + 1053*x**3.\nAnswer: 1053*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of g**7\/42 + 13*g**6\/24 + 47*g**5\/12 + 175*g**4\/24 + 2862*g**2. Suppose n(r) = 0. What is r?\nAnswer: -7, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 99.9 and -87.37.\nAnswer: -8728.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(228) - 5*-5*sqrt(228)) + sqrt(228))\/(sqrt(108)\/sqrt(9)*-2))**2.\nAnswer: 13851\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 340 - 303. Solve 0 = -31*b + q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 125 + -77. Let s = -13 + z. Let k = s - 40. Let v(b) = b**3 + 6*b**2 + 7*b. Determine v(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 11*z**2 - 3*z + 6. Let s be p(10). Let c = -128 - s. Let g(k) = -k**2 - 3*k + 1. Calculate g(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 11\/3  (b) 3  (c) 44828\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 17415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.14 + 0.76. Let z = -1.1 + x. Let v = -0.09 - 3.91. Put z, v, 1\/7 in decreasing order.\nAnswer: 1\/7, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 6\/19, 5\/13?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(4 + (-1 - 2)))\/((-144)\/252).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 17*w - 23. Let m be f(-19). What is the second derivative of 11 - 11 - 6*i**3 - m*i wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -2. Let p be 0\/l*(-2)\/(-4). Suppose -2*z - 2*z = p. Solve u + v + z*v = 0, 4*u = 5*v - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-5) - (-6)\/(-15). Let n be (28\/(-434) - 1352\/186) + 7. Let q = 144 - 144.3. Which is the nearest to n?  (a) g  (b) 2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12588 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.4  (b) -24  (c) 12  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -548, -1061, -1572, -2087, -2612, -3153?\nAnswer: -3716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) 82  (b) -7  (c) -2\/11  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -12, 18, 138, 390, 816?\n\"Answer: 7*w**3 + 3*w**2 - 28*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69080 is divided by 630.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1*(sqrt(143) - ((sqrt(143) - (sqrt(143)*2 + sqrt(143))) + sqrt(143))))\/((2*sqrt(110))\/sqrt(10)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 382 a factor of 1911901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - 0. What is the closest to s in 0.3, -0.4, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -4*k**2 + 2*k + 120410000. Let f be s(0). What is f rounded to the nearest 1000000?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 433579.\nAnswer: 29, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 20, -3, -538, -4, -56 in ascending order.\nAnswer: -538, -56, -4, -3, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 3*u - 15. Let d = 3 + u. Suppose d = 2*r - 10, 2*x + 27 = 5*x + 3*r. Calculate the remainder when 6 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-225)\/(-45))\/((-20)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000008789 to 7 decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7305.729 + -8.271. Is 2 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*d**3 + 0*d**2 + 0 + 0*d**4 + 0*d + 2\/9*d**5.\nAnswer: 2*d**3*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*c + 5*c. Factor -c*j**4 + 13*j**2 - 13*j**2 - 2*j**5 - 2*j**3.\nAnswer: -2*j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4*l = -5, -v + 27*l - 25*l - 1 = 0. Solve -v*r + 8 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 3*r - 30 = 0, -5*x = -3*r + 6*r - 36. Is 336\/191 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 3*u + 8. Let p(y) = y - 1. Let w(t) = m(t) + 3*p(t). Calculate the remainder when 19 is divided by w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or 537?\nAnswer: 537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 81582 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4\/14*1 - (-8024)\/238 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -92?  (a) -1  (b) 50  (c) 549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 4 = 10*u. Solve -u*r - 14 = -2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q + 113 + 1. What is the third derivative of -53*j**2 + 19*j**3 - 263*j**5 + 218*j**2 + 117*j**2 - q*j**3 wrt j?\nAnswer: -15780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**3 - 2*j**2 - j - 1. Let m be k(2). Let a(o) = 58*o - 506. Let s be a(9). Solve 0 = -v + m*v - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 356087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a (base 15) to base 11.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/11 - (-10)\/(-55). Suppose 4*j + 10 = -0*q - 3*q, -3*j = -4*q - 5. Calculate the remainder when (-1)\/(j + o + 0) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.90000104 - -1.9. What is f rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - v + 3, -v = 2*u + v. Put u, -9, -5 in decreasing order.\nAnswer: u, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 319 divide 31749758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**2 + 13*q - 35. Calculate the least common multiple of r(-9) and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4 + 5 = 0. Calculate the common denominator of (b\/(-2))\/(14\/122) and (-16)\/(-2) + 1638\/(-208) + -11.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.51 + -0.31. Let x(d) = -d**3 - 3*d**2 + 2*d - 3. Let o be x(-4). What is the biggest value in -0.2, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x**2 - 1. Let q be c(1). Put q, -2, -5 in descending order.\nAnswer: -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101 (base 2) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**3\/3 + 775*g**2\/3 + g\/3 - 775\/3 = 0 for g.\nAnswer: -1, 1, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 265263938137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert a1d2ed (base 16) to base 6.\nAnswer: 1015150325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6301 - 133*f + 6301)*(1 + 3 - 1)*(-46 + 38*f**2 + 46) in the form l*f**3 + i + q*f + k*f**2 and give l.\nAnswer: -15162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.54 - -0.16. Let a = m + 61.3. Let z = 66.9 - a. Round z to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 267*z**2 - 6486*z + 192. Calculate x(27).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218 = -8*v + 618. Suppose 21 = 5*x - 224. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k + 34. Let a(r) = 6*r - 67. Let d(c) = 6*a(c) + 11*g(c). Suppose 2*p = o - 18, 0*p - p = 4. Let z be d(o). Solve 3*s = -z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.33591 + 0.23591. What is the closest to z in 3, 0.3, -705.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d + 18 + 12 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + sqrt(363) + -1 - (sqrt(72)\/sqrt(6) - sqrt(3)).\nAnswer: -1 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 175*g**2 + 2448*g + 65. Calculate b(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 12 = 2*a, 2*z + 2*z + 3*a - 12 = 0. Suppose 2*u + 4 = -4, -n + z*u + 26 = 0. Solve -2 = 4*o + n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 50 = -5*r, -2*y - y + 5*r = -32. Suppose 4*o = -8, -4*d = -y*d - 3*o + 409. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -384177178 divided by 226787\nAnswer: -1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**5 + 434*f**4 + 6*f**3 - 2596*f**2 - 3469*f - 1302 = 0.\nAnswer: -1, 3, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.7 from -57.399.\nAnswer: -55.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 451317, 451310, 451303?\n\"Answer: -7*a + 451324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1438)\/(-7) + 6\/(-14). Suppose -x - 84 = -4*h - 3*u, 2*h + 3*u - 137 = 0. Suppose w - h = -4*k, 5*k + 2*w = 5*w + 78. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 101*l - 109*l + 336. Let m be 5\/1 - 189\/l. Which is the fourth biggest value?  (a) 2\/3  (b) -0.2  (c) m  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.1 * 91.\nAnswer: 191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(0 + 1\/(-249)). Let v = -106 + 187. What is the units digit of 2\/(s\/v + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, -133, -201, -269, -337?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 416*x + 30 = 415*x - 3*w, 2*x + 35 = -w. Suppose 4 = -5*u - 11. Put u, -2, -4, x in increasing order.\nAnswer: x, -4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b**(1\/2)\/b)))**(1\/15)\/(b\/(b*b*b*b**(2\/9)*b))**(1\/36)*(b*b**(-2))**(2\/9)*(b*b**(-5\/3))\/(b**(-2\/3)\/b) assuming b is positive.\nAnswer: b**(1351\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -266*y**4\/11 - 10636*y**3\/11 + 817312*y**2\/11 + 34308096*y\/11 - 516096\/11 = 0.\nAnswer: -48, 2\/133, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 249 = c + 43, -368 = -2*c - y. Suppose 3*w = -0*w + c. Calculate the remainder when w is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 37, 4 in decreasing order.\nAnswer: 37, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-17)\/3 + ((-20)\/3)\/(-10). Is 22 a factor of b\/((-265)\/130 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001416743 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 296138659 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -526.24 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - ((7 - 9 - 2 - -7) + -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.3 - -3.1. Is -5 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) 1  (c) 6\/247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 (base 10) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 10:29 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 16*m + 29. Let s be i(-14). Which is greater: 2\/239 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14161255 * 0.3\nAnswer: -4248376.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.2845 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h + 1. Suppose 3*l - 55 = -2*f + 6*l, 5*l = -25. Suppose -4*i = i + f. Is 2 a factor of k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7271278 or -7271279?\nAnswer: -7271278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 8\/17965?\nAnswer: 8\/17965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -5*l - 20. Suppose -25 = 2*m - 7. Let x be d(m). Let r = 6 - 2. Solve -r*p - p + x = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -20*t**5 + 465*t**4 + 1405*t**3 + 660*t**2 - 260*t = 0?\nAnswer: -2, -1, 0, 1\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1334\/92*14\/7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 9*c**5 + 18561*c**4 - 12381*c**3 - 6189*c**2 = 0.\nAnswer: -2063, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 5*f + 7 + 6, -5*f + 17 = -2*u. Let g(a) = -a. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 59719\/9 + -6644. Which is smaller: a or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/11 + (-36)\/(-44). Let f be x*3*(3 - -8). Suppose q = -2*q + f. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q**3 + 0*q**3 - 5*q**3 + 4*q**5 + (2*q - 3*q + 0*q)*(6*q**4 - 4*q**4 - 3*q**4) + q**2 - q**2 - 2*q**5.\nAnswer: 3*q**5 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1030 - 1029. Put 0, -2, r in descending order.\nAnswer: r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/269555 and -125\/1879548?\nAnswer: 1588218060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 - 30 + 0*j**2 + 28)*(1 - 1 + 8*j).\nAnswer: -8*j**3 - 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 148412531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -402 (base 7) to base 9.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 429773, 1719328, 3868585, 6877544?\n\"Answer: 429851*q**2 + 2*q - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2977, 2955, 2905, 2815, 2673?\nAnswer: 2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - 3*l + 5. Let v be f(-4). Let z = 1 - v. Suppose z*x - 3 = -x. Solve -x = n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 divided by 6\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of n**5\/180 + n**4\/24 - 2*n**3\/9 - 5*n**2 + 3. Let w(o) be the second derivative of z(o). Suppose w(g) = 0. Calculate g.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*a + 68*a + 3 = 0. Let g = 16 - 17. Let h = -1 - g. Put a, h, -5 in ascending order.\nAnswer: -5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 14, 5, -5, 6, -16 in ascending order.\nAnswer: -16, -5, -4, -1, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -435204 and -0.07?\nAnswer: 435203.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5446432 and 10?\nAnswer: 27232160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.68765 litres?\nAnswer: 687.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/17, 3\/5, 44, -2\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 6:50 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -272, -273, -278, -293, -324, -377, -458?\n\"Answer: -z**3 + 4*z**2 - 6*z - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 9 = -5. Let k(i) = -9*i**2 + 9*i - 11. Suppose -3*d - 17 = 2*g, -9 - 18 = 3*g + 5*d. Let v(q) = -5*q**2 + 5*q - 6. Determine g*k(a) + h*v(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f - 2*f - 24. Let l(u) = 27*u**2 - 15*u**2 - 389 + 379 + u**3 - 2*u. Calculate l(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + v - 4. Let k be l(-3). Let n be 24\/14 + k\/7. Let d be (-48)\/9*n\/(-8). Is 2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.38 + -2.9. Let w = 0.45 - i. Let v be (8\/(-66))\/((-4)\/6). Which is greater: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 833 and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -80 - -40. Let d = -33.42 - 2.78. Let c = d - l. Round c to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + y = -4. Let m(t) be the first derivative of 35*t + 4*t**3 + 6*t**2 - 15*t - 16*t + 6 + t**y. Determine g, given that m(g) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand x - x + 15*x**4 + 2*x**4 + 3*x**4 - 3*x**4 + 4*x**4 + 0*x**4 - x**4 + (0*x - 5*x + 4*x)*(2*x**3 + 5*x**3 - 5*x**3).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 0. Let p(k) = 3*k + 1 - k**2 + a - 9*k. What are the prime factors of p(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in 5, -8, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of s + 1\/2*s**2 + 10. What is i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 19*a - 13 = 68 + 16, 5*c - 3*a = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 4:44 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3448463 rounded to the nearest 10000?\nAnswer: -3450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 5*y = -2*m - 26, 2*m + 3*y + 8 = 0. Let t be m + (-30)\/(2 + -4). Let d(w) = 12*w + 7*w - t*w. Let a(u) = -10*u. What is a(d(i))?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 950*u**2 + u + 67905. Let r(n) = 2*n. Give r(y(b)).\nAnswer: 1900*b**2 + 2*b + 135810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d = -19*d + 1210. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -497, -485, -473, -461, -449, -437?\n\"Answer: 12*o - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 6 = -4*y. Let j(c) = 0*c + 0*c + 29 - c**y - c**3 - 36. Give j(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of -f**3\/9 - 121*f**2 - 43923*f - 7264. Factor v(q).\nAnswer: -(q + 363)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3*v**2 - 5*v - 5. Let m be z(-1). Let x(w) = 2*w - 4. Let n be x(3). Let g be (n\/(-12))\/((-1)\/4). Which is the closest to 1?  (a) g  (b) m  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39*s + 30*s - 42*s)*(-17 - 2*s + 17).\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64799*k = 64820*k - 294. Solve i + 4*n = -k, 0 = 3*i - 4*n - 0 - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -104, -291, -564, -929, -1392?\n\"Answer: -j**3 - 37*j**2 - 69*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 168, 681, 1538, 2739?\n\"Answer: 172*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19211531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-9) - 10\/3. Let q be ((-2)\/w)\/((-2)\/(-8)). What is the first derivative of -x**2 - 2*x**4 - q + x**2 wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 162779 and 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3091 + 3091 - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -218, -219, -220, -221, -222, -223?\n\"Answer: -k - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 9*a**3 - 44*a + 46. Let k(l) = -1. Let q(r) = d(r) - 2*k(r). Let b(i) be the first derivative of q(i). Differentiate b(p) wrt p.\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11067066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 2) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 6) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9036 divided by 6\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -309*f - 2576 = 3604 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -659*b + 5 + 230*b + 237*b - 2 + 219*b.\nAnswer: 27*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 32*g**2 - 2*g + 69. Let o be w(32). Let x(b) = 17*b - 81. Let c be x(o). Solve c*v - 3*z + 4*z = -6, 3*v = -2*z - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68 and 18428.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17642 + 34.258328.\nAnswer: 17676.258328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.7849 - 0.0941. Let m = 0.121 - r. Which is the closest to m?  (a) 0.3  (b) -0.2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27.87 + -28. Let q = -0.1142 - o. What is q rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -765355?\nAnswer: -229606.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of -n**4\/3 - n**3\/6 + 8*n. Let k be z(1). Let j = 25 - k. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (25\/10)\/(25\/20). Let l(s) = 2265*s**3 + s**2 + 2*s - 1. Is l(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -928*h**2 + 3706*h**2 - 926*h**2 - 925*h**2 - 926*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 2*k + 7. Suppose -q - 3*t + 12 = -3*q, 3*q + 13 = 2*t. What is the least common multiple of z(q) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 5. Determine q(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 7*w**2 + 11*w + 27. Let u be a(-2). Put 1, u, -3 in ascending order.\nAnswer: -3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -51*a**2\/2 + 3. Let k(h) be the second derivative of -h**4\/6 + 12*h - 39. Give k(b(q)).\nAnswer: -5202*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8054 + 241*x**2 - 8054)*(0*x**2 + x**2 + 0*x**2).\nAnswer: 241*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 134*y**2 - 215*y + 10992. What is q(133)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00023091 rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1251318028?\nAnswer: 2, 1999, 156493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**2 - 112498252*n + 1581982087881938 = 0.\nAnswer: 28124563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 18*f**3 - 9*f**2 - 9*f - 9. Let u(l) = l**3 - l**2 - l - 1. Determine -2*j(k) + 18*u(k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 1469*s**2 + 7*s + 1. Let g(c) = 2204*c**2 + 10*c + 1. Calculate -7*g(m) + 10*r(m).\nAnswer: -738*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 8*m**2 + 11*m - 12. Let r be j(9). Calculate the highest common divisor of 48 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 86940170*z**2 + 332013174 with respect to z.\nAnswer: 173880340*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*j - j**2 + 3*j - 4*j + 10*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, -25, 296\/5, 0.5, 29, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*v - 21 = 0, -2*u + 3*v = 3*u - 33. Let z(s) = 4*s + 6. Is z(u) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4*n = 9. Let i = 1 + n. Let y(m) = -m**3 - 9*m**2 - 9*m - 6. List the prime factors of y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4590770 is divided by 733?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 91126 and -3.0067?\nAnswer: 91129.0067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/6 and -111\/25000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 6124 + 1743. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (10 - (7 + 0 + -9)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/3 + 6*n - 8200\/3.\nAnswer: (n - 82)*(n + 100)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -1575*g + 18908. Let v be l(12). Find m such that v*m - 8*m**3 - 2\/3*m**2 + 10\/3*m**4 - 8\/3 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66733571 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -683375.84*5\nAnswer: -3416879.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - 34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 - 4*s**2 - 3*s + 4. Let u = -788 + 762. Let d be 2\/(5 + -11 + u\/(-4)). Calculate l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 2\/13, 0.3, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1959 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 350945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f**3 + 33*f**2 - 105*f + 78. Let t(d) = d**3 - 1. Let j(g) = -m(g) - 3*t(g). Find l, given that j(l) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -14*y - 36. Let o be u(-3). Suppose -1282 = o*r - 8*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/2193 and -89\/10.\nAnswer: 21930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (-2 - 0)*2. Let s = -16 - -12. Let v be 1\/((s + 7)\/6). Do t and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**16*t\/t**(-3\/14))**(-18) assuming t is positive.\nAnswer: t**(-2169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1222970832 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -73 - (-242 + 51 + 155)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 4*y + 754, 3*v + 0*y - 4*y - 446 = 0. Suppose -2*x + 4*j = v, -5*j = 15 - 0. Let b = 83 + x. Solve r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 164 and 176573798.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 6*v**2 - 2*v - 5. Let j(d) = 7*d**2 - d - 6. Let q(h) = 5*j(h) - 6*u(h). Let l be q(0). Solve -2*b - 6 = -l*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -3  (b) 0.7  (c) -2\/11  (d) 0.019  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 18*b + 102. Let c be j(-5). Let d = -15 - -22. Solve d*u - c = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1832 + 42146\/23. Suppose -2*q - 4*b - 14 = 0, -5*q + b - 2 - 11 = 0. Let r be -3 + (-44)\/(-8) + q\/2. Is c < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2392 and 36.1.\nAnswer: -2355.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 4*t - 57 = 0, t - 6867 = -3*k - 6834 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -0*o + 3*o - 3*f, 5*f + 70 = -5*o. Let h be 1\/((-6)\/o)*2. Solve -h*b + 6 = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*b + 15, 3*b + 32 = -4*d + 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1101822473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*v**2 + 0*v**2 - 2*v**2 + 0*v**2 - 7*v**3 wrt v.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -116*k**5 - k**4*m - 87*k**3 - 2*k**2 + 562*k*m - 3*m wrt k.\nAnswer: -6960*k**2 - 24*k*m - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16874.85 - 16873. Is 0.7 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of -l**5\/60 - 7*l**4\/24 - l**3 - 9*l**2. What is x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*h + 7384416 = 79*h. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2315.2637 to 0 decimal places.\nAnswer: -2315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 489.4 and 16251478.607.\nAnswer: 16251968.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8492, 16984, 25478, 33974, 42472, 50972?\nAnswer: 59474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2246a3 (base 13) to base 7.\nAnswer: -6611322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6003\/116)\/23*(-32)\/84)\/(12\/1036)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -2 + 1*sqrt(720) + sqrt(720) + (sqrt(60)\/(sqrt(2)*-1))\/(sqrt(24)\/sqrt(16)).\nAnswer: -4 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r + 5. Let u be s(12). Let m = u + 2. Let a be (-3 - m)*(-10)\/4. Let h(o) = -o. Give h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1906 + 3686. Does 89 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b. Let h(y) = 4395*y + 552*y**2 - 4395*y. Determine l(h(i)).\nAnswer: 1104*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*w - 14*w - 4*w - 3*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 2404.15?\nAnswer: -9616.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 14373 divided by -60\nAnswer: -4791\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1252534 + -4?\nAnswer: -1252542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 217903.\nAnswer: 7, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**6\/(h*(h\/h**(-7))\/h*h))**34 assuming h is positive.\nAnswer: h**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -28, 3\/4, 0.4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1297\/59991?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -14, 0, 9, 2 in decreasing order.\nAnswer: 9, 5, 2, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 12 = -4*r, 4*r + 5*m + 3 = 23. Suppose -23*d + 27*d - 292 = r. What is the remainder when d is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 19 = 3*v + 5, b - 5 = 4*v. Suppose 12*c - 18 = b*c. Suppose 3*m - c = -0. Is m <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 104707405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 0. Suppose 0 = 29*f - 32*f + 6. What is the remainder when 15 is divided by (f + -1)\/(x\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*q**4 + 3\/2*q**2 + 0 + 0*q**3 - q.\nAnswer: -q*(q - 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.5 + -3.5. Let y(j) = j**2 + 4*j - 9. Let v be y(7). Let a be 1\/(3 + v\/(-8)). What is the smallest value in z, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from -822.\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 + 17*b - 21*b + 54*b**2 + 20*b**2 + 1 - 83*b**2 to s*b + x*b**3 + a*b**2 + l and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.014?  (a) -4  (b) 340\/3  (c) 1\/4  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 330, 626, 906, 1164, 1394, 1590, 1746?\nAnswer: 1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2369, -2384, -2399?\nAnswer: -2414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -169*a**3\/3 + 11531*a**2 + 3552*a + 820\/3.\nAnswer: -(a - 205)*(13*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 15248820.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 189594 and 42.\nAnswer: 1327158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-528)\/2 + (2 - 7) + 8. Let j = 267 + l. Let y(b) = b**3 - 5*b**2 - 9*b + 2. Determine y(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22278734*f*l*o + 106*f*o - 39636*f - 2 wrt l?\nAnswer: 22278734*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183*n + 186*n - 4*q = -34, 3*q - 13 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6201326 rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 8*u + f = -13, -3*u = -f - 11. Solve 2*q - u = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 0)*(-98 + 98 - 31*z).\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189791 is divided by 4038.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1128 = 4*z - 4*l + 264, 4*z + 2*l - 846 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/3 + (0 - -113). Suppose 0 = r - 2, 0*r - u = -3*g - 2*r. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27836877 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 237 and 20619?\nAnswer: 20619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -438378, 2\/7, -8\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 323*((-18)\/38)\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 13566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 7 = -3. Suppose 4*s - 5*s = 2. Is (-136)\/s + d\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 20*z - 15*z. Suppose -3*d + 73 = 5*l, -13*l - 4*d - 66 = -18*l. What is the remainder when l is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9094 + -9091. Which is the closest to 0?  (a) 3\/92  (b) 5  (c) m  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 5) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6789 or 6799?\nAnswer: 6789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 34 + 61)*(5*f - 5*f - 2*f).\nAnswer: -80*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**4\/9 + 60070*h**3\/9 + 560270*h**2\/3 + 12543290*h\/9 + 10922548\/9 = 0?\nAnswer: -30007, -14, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**23*(v*v*v*v**(-2\/13))\/v*(v\/(v**(2\/55)\/v))\/((v\/(v\/(v*v**26)*v))\/v))**(-2\/35) assuming v is positive.\nAnswer: v**(-2588\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -9*p**2 + 1. Let t be n(1). Let o be 16\/(-20)*6\/t. Let s = -2 - -7. Which is the closest to 0.2?  (a) s  (b) o  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 0.1  (b) -1\/3  (c) 8  (d) 0.4  (e) 1.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/6*42\/(-273)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 + -361\/7. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from {v: 6, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 117.067 millennia to years.\nAnswer: 117067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(7\/((-28)\/(-64))). Let s be (36\/30*5)\/(15\/10). Suppose -1\/8*q**3 + 0 - a*q**s + 1\/8*q**2 + 1\/8*q = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 6*i**3 + 6*i**2 - 4*i - 5. Let z(g) = -9*g**2 - 7*g**3 + 6 + 5*g + 0*g**2 + 2*g**2. Let q be 371\/77 + (-7)\/(77\/(-2)). Calculate q*d(k) + 4*z(k).\nAnswer: 2*k**3 + 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 150844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 270 and 30680964?\nAnswer: 153404820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 - -20.007. Round o to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261 (base 8) in base 4?\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 11:05 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 5)*(-2)\/4. Suppose 2*a = 4*p + 26, -a - p + k = -6. What is the remainder when (-159)\/(-9) + 2\/(-3) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of h**6\/24 - h**5\/60 + h**4\/24 + h**3\/6 + h**2. Let f be 1\/(((-6)\/(-8))\/3). Suppose -6 = f*m + 2*m. What is o(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/(-2)*(-4)\/8. Let a(v) = 16*v**2 + v. Let c be a(-2). Let u be c\/(-12) - 2\/(-12). Sort u, 4\/9, f in descending order.\nAnswer: f, 4\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 18. Let u(r) = -2*r + 37. Suppose 4*n = 3*j - 0*j + 17, 2*n - 6 = 4*j. Let b(k) = n*t(k) + 2*u(k). Let x be b(16). Solve 5*p + 0 + 5 = x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*7\/((-840)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -70 - 62d?\nAnswer: -69d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 2 = 2*h - 0, -4*h - 2*i - 20 = 0. Let k(v) = 5*v + 12. Let m(a) = -2*a - 4. Let x(p) = 3*k(p) + 8*m(p). List the prime factors of x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -310 + 111*c + 310 in the form v*c + o and give v.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/702 and ((-3)\/(-234))\/(-36 + 10).\nAnswer: 18252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 72 = -7*n. Let k = -11 + n. Suppose -4*w + 4*d = 3*d - k, 19 = 4*w - 5*d. Solve 0 = -5*h + 2*f - 3, -3*f + w + 0 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 + 170\/(-25) + 1. What is the third biggest value in 4, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -4*x**2 - 2*x - 1. Let z(n) = -19*n**2 - 11*n - 6. Let d(o) = -22*c(o) + 4*z(o). Let i be d(-1). Solve l - 3*l = -i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - p + 2. Let k(d) = 3*d**2 - 2*d + 4. Suppose -o - 5*j + 18 = 2*o, -5*j = o - 6. Suppose 3*n - o = 6*n. Determine n*k(w) + 5*b(w).\nAnswer: -w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a. Let p(i) = i**2 - 5*i. Let j(w) = p(w) - 5*v(w). Let t(x) = 2*x. Calculate j(t(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 618168 = 23*m - 2845236 - 63715. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5050500829 to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 97414 by 12.\nAnswer: 48707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 555 is divided by 146?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p**2 + 60*p + 3. Let m be u(17). List the prime factors of ((-483)\/4)\/((-13)\/m).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8\/18 + (-195)\/135)*(-12)\/42. What is the fourth smallest value in -0.1, 0, -0.033, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + o = 2*o + 36, 0 = -z - 4*o + 25. What is the third derivative of -270 + z*j**4 + 270 - 12*j**2 wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.320495 and -0.4.\nAnswer: 0.128198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -24932  (b) 10  (c) 1  (d) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j. Let f(u) = -8*u + 14*u**2 + 0*u - 12*u**2. What is -f(c) + 8*l(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 26. Let o be (-18)\/36 + (-153)\/a. Let c = o + 81. Solve -f = -4*r - 5, 2*f + 2*f = -c*r - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 3:27 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7332 and 1500?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1195 or -1196?\nAnswer: -1196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -8. Suppose 12*p - 48 + 356 = 40*p. What is the highest common factor of l and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235166.\nAnswer: 2, 31, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -253*f + 4775 + 6357 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(675) + (sqrt(675) + 0 + sqrt(675))**2)*5 + sqrt(675) + ((sqrt(675) + 2 - sqrt(675))*-5)**2 + (sqrt(675)*1 - sqrt(675)) + -5 + -1 + sqrt(675) + 2.\nAnswer: 105*sqrt(3) + 13596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-19)\/57)\/((-1)\/(-3)). Which is smaller: o or -2\/47?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25 - 33 - (13 + -10)) + -26?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -4.21 at least -65287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 89bdb (base 14) to base 11\nAnswer: 209246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -3. Factor -2 - 2*a**2 + 2*a - m + 7.\nAnswer: -2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 281 - 268. Let v be c\/84 - 31\/124. Is -1 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -25418 - -1736?\nAnswer: -238a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 112 - 109. Suppose 2*q - 4 = l, -l - 6 = -3*q + l. Find the third derivative of 4*v**2 + 9*v**2 - v**z - 25*v**2 + 8*v**q wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y. Let k be u(-1). Is 17*2*1\/k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -5*f**3 + f + 1. Let l be m(-1). Suppose 70 = 2*w + 2*k + 22, 0 = -l*w - 4*k + 119. Solve 5*s - 30 = -4*x, -s + 5*x - w = -0*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p - 11*p = 4. Calculate the remainder when 28 - p - (1 + -1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -85\/3404016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - ((-4 - 0) + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 v when four letters picked without replacement from wvvwwwwwvw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 6)*(-d - 2*d + 2*d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155122262.\nAnswer: 2, 77561131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-70))\/((-4)\/(-14))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/153*-1)\/(1103\/(-8824)).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4.9 - 52254.1\nAnswer: -52249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 532 divided by -133.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 672 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 104 and 286?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - 5)\/(2 - 3). Suppose 5*j - 3*t = -11, i*j - t = 3*j + 1. Which is smaller: j or -1\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 1 - 2*l**4 + 5*l**3 - l**2 + 0*l - 2*l**2 - 2*l as r*l**3 + h*l**4 + q + d*l + j*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 3*v**2 + 5*v - 2. Let m(a) = -a**2 - a + 1. Let j(o) = 6*m(o) + s(o). What is j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, z: 4, m: 3, q: 4, s: 1, f: 2}. Give prob of sequence gggs.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - p = -4 - 6, -4*p = -f - 2. Is -3\/2 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 565 + 81. Suppose 0 = 4*s + 3*u - 883, s = 4*s - u - f. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, v: 3, i: 3, t: 2, a: 1}. What is prob of picking 1 t, 1 v, and 1 i?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 98, 181, 260, 335, 406, 473, 536?\n\"Answer: -2*n**2 + 89*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -95 from -4702855.701.\nAnswer: -4702760.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 7*i**2 - 6*i. Let f be y(-6). Suppose f = 3*c - 7*c - 16. Let z = -0.03 + 2.03. What is the closest to z in 5, c, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20.2 less than 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*v + v. Let p = -1 + v. Is -2\/29 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 0.2  (c) -2\/3  (d) 6  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -q**3 - 130 + 130 + 6*q**2 - q**3 as b*q + s + o*q**2 + a*q**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-8) + 1\/4. Let r be (108 + -4 - 5) + (l - 0). Let c = r + -48. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 + 3 - 3)*(-60*u**2 - 9*u**2 - 21*u**2).\nAnswer: -90*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (35\/15)\/((-28)\/(-12) + -2). Suppose 54*q = 52*q + 5*j - 1, -q - 5*j + u = 0. Let n(d) = 4*d**2 - 1. Give n(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 129 + -125. Let r(d) = -3*d + 3. Let w(q) = -1. What is h*w(p) + r(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 5.1. Let n = 0.1 + t. Let y = 2 + n. Is y greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 3*o - 3*k + 69 = 0, -4*k = -4*o + 52. Suppose 5*f = 7 + o. Suppose m - 6 = -t - 2*t, -4*t + 2*m - 2 = 0. Solve f*j + t + 9 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j**4*k**2 + 83*j**2*k**2*z + 22*k**2 - 19*z with respect to j.\nAnswer: -8*j**3*k**2 + 166*j*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -8*q**3 - q**2 - 2*q - 1. Let c be l(-1). Let a be c\/24 + (-22)\/(-6). Solve 0 = -2*m + j + 1, 2*j = -m + a*j + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2454343 (base 6) to base 5.\nAnswer: 13210040","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*sqrt(200) + -4 + sqrt(200)*2 + sqrt(200) + 4)**2.\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 + -169\/5. Let l = -111950 + 111946. What is the third biggest value in 2\/29, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/108 and 64\/18363.\nAnswer: 661068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006338177 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -8*l**2 + 6*l + 12. Let k be -7*(12\/(-14))\/(-1). Let s(v) = 9*v**2 - 7*v - 13. Let u(c) = k*s(c) - 7*f(c). Differentiate u(p) with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*k*p**3 + 39572*k + 11*p**3 + p**2 + 36*p with respect to p.\nAnswer: 6*k*p**2 + 33*p**2 + 2*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1197592.\nAnswer: 2, 11, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 23*l**2 - l + 23. What is g(-2)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n*v*z - 4*n*z**3 - 1189*n*z - 497*v**2*z**3 - 2*v**2*z**2 + z**3 wrt z?\nAnswer: -24*n - 2982*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84713 is divided by 9405?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 3*r + 13)*(-1 + 10 + 4) + 2*r + r - 2*r - r + 0*r + 0*r + (-r - 2*r + 2*r)*(4 - 4 + 2) - r + 3*r - 4*r + 0 + 0 - r - 14*r - 12 + 3 + 8.\nAnswer: 20*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18*(-2 + 2\/4). Let x be 11\/(132\/(-723)) - (-1)\/4. Let w = m - x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 6*g - 6. Let u(y) = 17*y - 18. Let p(n) = 11*r(n) - 4*u(n). What is the derivative of p(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 55*m - 59. What is the smallest common multiple of 22 and i(7)?\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**2 + 66*q + 218. Let h be p(36). Solve 0 = h*z + 3*j + 5, 2*z - 5 = -0*z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-21330.\nAnswer: -4266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -100 + 57. Suppose 0 = 6*n - n - 4*q - 837, -2*n + 2*q + 336 = 0. Let z = n + v. What are the prime factors of z?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 503 divide 3433880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17889 = -29*k + 42982. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-306)\/(-112) - (14314\/(-408) + 35)\/(4\/6)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 13*r**2 + 143*r. Let g be n(-11). Solve 0 = -4*z - 4*s, -5*z + 2*z + 2*s = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -13  (b) -0.3  (c) -0.26  (d) -0.04  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**2 - 17*h**2 + 18*h**2. Let c(s) = s - 9. Give c(a(n)).\nAnswer: -n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2031 - 2030. Let b(g) = -g**2 + g. Let r(o) = 2*o**3 + 2*o**2 - 2*o - 9. Determine t*r(h) + 2*b(h).\nAnswer: 2*h**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39408\/91 + -17477975\/1092. Let f = d - -15581. What is the common denominator of (13\/1)\/(10\/1) and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 843218022.\nAnswer: 2, 3, 53, 2651629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 17\/(-2)*(-5 + 1). Let l = 73 - a. What are the prime factors of (l\/12)\/((-3)\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*v - 10, 2*q + 4*v = 88. Suppose 0 = 2*k + f + q, -k - f - 22 = f. What is the nearest to 0 in k, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37035, -74071, -111107, -148143?\nAnswer: -185179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10, 638, 2384, 5806, 11462, 19910, 31708, 47414?\n\"Answer: 93*b**3 + b**2 - 26*b - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/3)\/(-1))\/((-5384)\/8076)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 61371183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Divide 1849384 by 529.\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 5*v - v**3 + 2*v**2 + 7*v + 0*v**3 + 10 + 3*v**2. Let o be w(7). Let l = o + 24. Solve 51 = -2*r - 5*y + 16, 2*y = -2*r - l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.173 - 0.18. Let g = 30 - 30.0192. Let u = g - v. Round u to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of b**5\/60 + 7*b**4\/12 + 2*b**3\/3 + 1944*b**2 + b. Determine c(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -68114 - -121957. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 114262093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + w - 2*w)*(w**3 - 2*w**3 + 3*w**3) + 2*w**4 - w**3 + w**3 - 2*w**4 + 2*w**4 - 2*w**4 + (-w**2 - 5*w**2 + 5*w**2)*(-5*w**2 + 2*w**2 + 4*w**2).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-12))**(-24)*(f*f**1)\/(f\/(f*f**(13\/2))) assuming f is positive.\nAnswer: f**(593\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -578.821.\nAnswer: -571.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (640*m + 632*m - 1166*m)*(2*m**2 - m + m).\nAnswer: 212*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -89456, -89458, -89460?\nAnswer: -89462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 2*k - 1, -3*k - 9 = 2*f - 4. Does 11 divide f\/((-1)\/((-132)\/(-4)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 224, -94, 352, 0 in decreasing order.\nAnswer: 352, 224, 0, -1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of 3096*f**5\/5 + f**3\/3 + f**2\/2 + 1702*f + 2262. What is the third derivative of s(u) wrt u?\nAnswer: 74304*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 320?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 172228 + -43128. What is s rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1, -5, -3 in descending order.\nAnswer: -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 6 + (-5 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from goloylgggsyyll. Give prob of sequence oll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 30 = 8. Let a = g + -19. Let z(i) = 2*i**2 - i + 8. What is the remainder when 39 is divided by z(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 + 23*w + 10. List the prime factors of q(10).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of n**2\/2 - 84. Let b(y) = 4*y**2 - 7*y. Give -2*b(j) - 14*s(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n + 12. What is the least common multiple of y(-6) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f. Let x(r) = 10*r + 2. Calculate -2*k(l) - x(l).\nAnswer: -12*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 147818.\nAnswer: 2, 11, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -37  (c) -11  (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*z + z + 0*z)*(3 - 3 - 1) + 76 - 76 - 134*z - 4*z - z + 2*z + (63 - 63 - 9*z)*(0 + 0 + 2) as q + c*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 1116*i**3 - i. Suppose 0 = -2*d - 1 + 3. Let j be f(d). Let a = -570 + j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 110 - 51. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11646987?\nAnswer: 3, 11, 352939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.097 - -0.203. Let x = 0 - -3. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 90*v + 734626216 - 138196216. What is v rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 2*u = 0. Suppose 0*b - 3*b + 72 = u. Suppose 0 = -2*s - 2*s + b. Calculate the smallest common multiple of s and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + -6. Let d = z + 2. Suppose -4 = -d*o + 3*o. Which is the nearest to 2\/5?  (a) -1  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137 = 4*n - 2*s - 423, -4*n - 3*s = -560. Suppose -n = 8*t + 12. Let r = t - -25. Calculate the least common multiple of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 6*y - 5. Suppose -m + 4*m - 3*h - 195 = 0, 4*h + 50 = m. Let c = -40 + m. Suppose 3*t + c = 8*t. Determine f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/35 + (-4)\/10. Suppose -q + 3*y + 0*y = -8, u = -5*q + 4*y + 84. Let x be (-20)\/6*1*-48. Calculate the highest common divisor of x and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192)\/(sqrt(726)*-2).\nAnswer: -2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*y + 19*y - 279. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 2:47 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 19300022 to the power of 1\/2, to the nearest integer?\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 minus -106.3507392?\nAnswer: 121.3507392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 47\/63  (b) -4  (c) 953\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9626206 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(68) + -5 + sqrt(68)*1 + -4)*4)**2 + 2.\nAnswer: -1280*sqrt(17) + 5954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136691?\nAnswer: 136691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of -o**5\/48 - 35*o**4\/24 - 65*o**3\/6 - 1270*o**2. Determine r so that t(r) = 0.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7087 - 1825?\nAnswer: 5162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 253 - -4?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of -27*s**4\/2 + 2*s**3\/3 + s**2\/2 - 2*s + 7. Is x(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/6)\/((-1)\/9). Let v be 136\/22 + h\/33. Solve v*u - u - 10 = 5*s, -u - 4 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -5234.\nAnswer: 4\/2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bjj when three letters picked without replacement from jjjxjjjbjbjjbjjj?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -17\/11, -16, -6, 5, -20, -4\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*z - 28. Put -5, -1, z in decreasing order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of 9*y**6\/2 + 222*y**5\/5 + 615*y**4\/4 + 240*y**3 + 174*y**2 + 48*y - 820. What is l in p(l) = 0?\nAnswer: -4, -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -27*r + 23 + 58 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 1. Suppose q = -5*a - 3*v + 62, 3*a + v - 46 = -3*v. Let l(u) = u - 8. Calculate the smallest common multiple of 7 and l(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1263)\/842 + 1 + (-259569)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 735793 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1172425 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11674641 (base 8) to base 16.\nAnswer: 2779a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of p**6\/720 - 5*p**4\/6 - 18*p. Let o(h) be the third derivative of n(h). Let x(c) = -c**2 - 2*c**2 + c - c. What is x(o(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(63))**2 + sqrt(7) - (sqrt(504) - sqrt(56))\/sqrt(8).\nAnswer: -sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 186 and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**1\/u)*u)**(-1\/3)*u*u**(-8)*u*u*u**(5\/2) assuming u is positive.\nAnswer: u**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -19 + 39 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 153*l**2 - 275*l + 5417. What is v(-155)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -185 + 159. Let c = r - -29.6. Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -131 - -130. Let t be ((-3)\/(-3))\/(-5 + v\/2). Let w = -4\/21 + -1\/7. Which is the nearest to 1?  (a) -1  (b) w  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, i: 2, k: 7}. What is prob of picking 1 k, 1 i, and 1 c?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 542607770 to the power of 1\/2, to the nearest integer?\nAnswer: 23294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101001101000111 - -11?\nAnswer: -1101001101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4353 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = -6 + 78. Solve -4*q - 28 = -w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**4 - 80*m**3 + 372*m**2 - 504*m.\nAnswer: 4*m*(m - 14)*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 970, 1024, 1078, 1132?\n\"Answer: 54*c + 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 57311 (base 11) in base 16?\nAnswer: 143d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2.59 in 17, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 505 = 508 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 + -7296093493.\nAnswer: -7296093509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 5. Let c be (4 - 2)*10\/4. What is the second derivative of -r*v + 7*v**c + 7*v - v wrt v?\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1416 (base 7) to base 8.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 14*t**2 + 13*t - 4. Let o be 280\/(-1260) + 115*(-2)\/18. Give i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 23 = 11*i. Let l(g) = -g - 1. Let v(p) = -5*p. Let j(n) = -2*l(n) + v(n). Give j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 + 1. Let i be d(-2). Let x be i + (-6*1 - 0). Is 10 a factor of -20*(x\/(-6) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3466500 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b**2 + 0*b**2 + 3*b**2)*(3 + 1 - 7) - 5 - 2*b**2 + 5 in the form x + t*b**2 + l*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - 28*c - 41. Let v be a(-26). Solve -v = -2*y - 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + g - 4570, -2*g - 1908 = -4*y + 1748. Is y a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 56460 = -51676. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 4 - 4)*(-v + 4*v - 1 - 2*v) + 2 + 35*v**2 + 5*v**2 + 49*v**2.\nAnswer: 88*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -4 + 1 - (-5 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4171911 to the power of 1\/2, to the nearest integer?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-5\/6)*r**(-2\/9)\/r)\/(r**(-1))**42)\/(((r**(2\/3)\/r)\/r*r)**(-48)*(r*r*r*r\/((r**(-1\/2)*r)\/r)*r)\/((r**(-1)*r*r*r*r)\/r)) assuming r is positive.\nAnswer: r**(193\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -j + 11. Let m = -3232 + 3234. Suppose -4*i + p + 8817 = 0, -j*p = -m*i - 11*p + 4386. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/19 in 3, 2\/21, 0.26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(7*(-72)\/1134*(-9)\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*z - 32*z = -141. What is the remainder when z is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13664442 is divided by 1008?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25516 + 27556. Calculate the remainder when q is divided by 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31662.\nAnswer: 2, 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 17. Let g = 0.3 - 0.1. Which is the closest to -0.2?  (a) 3  (b) g  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2197678981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -19, -14, -5, 8, 25, 46?\n\"Answer: 2*v**2 - v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28456443.\nAnswer: 3, 463, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4989\/5 + 998. Which is the closest to -0.1?  (a) -1\/9  (b) n  (c) 1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -33*d + 1. What is the remainder when x(-2) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 101548*x**3 - 3*x**2 - 336303*x wrt x?\nAnswer: 609288*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 62 = 5*z + 2, 0 = -5*z + 3*c + 66. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 5*h = 11*r - 60, -r + 12 = h. Suppose r*c = -3*c. Determine y, given that 2\/7*y**3 + c*y + 2\/7*y**2 - 2\/7*y**5 + 0 - 2\/7*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**5 + 14*b**5 - b**5 + (5*b**3 + 0*b**3 + b**3)*(9*b - 9*b + 25*b**2).\nAnswer: 165*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3}. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 12 - 4. Suppose 3*w = -m*b + 86, 5*w - 29 - 93 = 2*b. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1300 + 10?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y + 0*y - 2*y)*(31 - 39 + 8 + 115*y).\nAnswer: 230*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*y + 11*y - 45 - 52 + 204 - 52 - 54.\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 605*x**5 + 24420*x**4 + 186085*x**3 + 327830*x**2 + 101340*x + 8680 = 0.\nAnswer: -31, -7, -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(180) + 3 + sqrt(180) + sqrt(20) + 4 + sqrt(45) + 0)**2.\nAnswer: 306*sqrt(5) + 1526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12010744*k**6 - 3768*k**2 + 213*k wrt k?\nAnswer: 1441289280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 + -34. Let a = 21 - 23. What is the third smallest value in -4, -0.5, a, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -11901\/37928 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 4*q**2. Let a(v) be the third derivative of -11*v**4\/24 + v**3\/3 + 264*v**2. Determine z(a(r)).\nAnswer: 484*r**2 - 176*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from {x: 1, h: 1, k: 5, r: 6, m: 1, f: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 69 = -45. Let d be (-76)\/k - 16\/(-6). Suppose 2*b - 1 = -r, -b = 3*b + 4*r - d. Solve b*v - 16 = -2*v + 4*w, -2*w = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*q - 8. Suppose -q*a = -0*a + 4. Is 4 - (36\/a + 2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 8*p + 3*p - 21, -3 = 3*p. Suppose -6*a + 152 = -a + 3*m, 2*m - k = 0. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) - (-1*sqrt(1872) - sqrt(1872) - sqrt(1872)))*4 + -1 + (-3*sqrt(1872))**2)*-5.\nAnswer: -84235 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16762 is divided by 5503?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/sqrt(3)*-1)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 32*z**2 - 33*z + 34. Let i be o(-33). What is the highest common divisor of i and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6131266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61817.\nAnswer: 7, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 54 = 3*v, 2*v + 24 = v + 4*s. Let l = -18 - v. Let q be (-6)\/l + -3 + -113000. What is q rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -59.68944075 and 3?\nAnswer: 62.68944075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(3645) + sqrt(3645) + 5*(sqrt(3645) - sqrt(3645)*1) + 2 + 0 + sqrt(3645)))**2 + 5.\nAnswer: 5184*sqrt(5) + 524949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42468, -169903, -382296, -679647, -1061956?\nAnswer: -1529223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 - (0 - 1)) + (-99)\/44. Let p = 1.3 + -0.3. Let m = 6 - 6. What is the closest to m in -0.4, p, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 5*f + 66, -7*w = -9*w - 5*f + 57. Suppose 5*r - 4*o = w, 3*r + 1 = o - 5*o. Solve u + 9 = 3*t + 4*u, -r = 5*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 420*k = 421*k. Let m(n) be the second derivative of 0*n**3 + 0 + 14*n**2 + 9\/10*n**5 + 28*n + k*n**4. Differentiate m(v) with respect to v.\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 + 1 + 1)*(0*t - 4*t + 5*t + 0*t - t - 4*t + (-3 + 7 - 3)*(-2 + 2 + 2*t)) + (1 - 2 + 2)*(-5*t - 3*t + 6*t) as f*t + b and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (0 - 1)\/((-10)\/(1890\/7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*d - 68*d = -130 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44*4\/40)\/(1\/(-6)*294\/(-735)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -21*s**3 + 204*s**2 + s + 76. Calculate the smallest common multiple of i(-7) and 3.\nAnswer: 17268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of s**6\/6 + s**5\/5 + 26*s**4\/3 + 2*s + 26. Find the third derivative of m(t) wrt t.\nAnswer: 120*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -1305\/39046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1236 a factor of 154978332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-3))\/(-42) + 2225\/150.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fi when two letters picked without replacement from zogsiisof?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 + 46. Suppose a + 19 = 4*n, 2*a - 5*n = -p - 8. Is 5 a factor of 8 + 3\/a + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 72\/144 + 7\/(-2). Let g(o) = -2*o**3 - 4*o**2 - 5*o - 3. Let d(u) = -4*u**3 - 7*u**2 - 9*u - 5. Give q*d(z) + 5*g(z).\nAnswer: 2*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 143747470+858107\nAnswer: 144605577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + u - 9 - 21*u - 2.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 39 = -14*y, 54021*y + 0*h + 4*h + 3 = 54018*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 432 and -4960.\nAnswer: -2142720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of 2*y**3\/39 - 358*y**2\/13 - 718*y\/13 - 23. Factor x(b).\nAnswer: 2*(b - 359)*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.4 - -0.4. Let g = -0.2 + w. Let j = g + -0.05. What is j rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 429777277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -141885 or -993198\/7?\nAnswer: -993198\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 3:02 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -2190?\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31469 is divided by 960?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from ivziibirmi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 434 = 5*c - 4*d, -3*c - d = -3*d - 260. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2915.\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/7286568 and 71\/24954?\nAnswer: 7286568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14318669 to the power of 1\/2, to the nearest integer?\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -2) + 9 + -19 - (0 - -6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2144674.\nAnswer: 2, 7, 153191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/7 + 129724\/8036?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {v: 1, y: 4, q: 2, m: 2, x: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/24*(-1 - (-518)\/(-4)). Suppose -u = -311 - s. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (1 + -4 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164*n - 40 = 154*n. Sort -5, n, -3 in ascending order.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**8*u\/((u\/(u**0*u))\/u))\/((u\/u**2*u)\/(u*(u\/u**(1\/25))\/u*u*u*u)) assuming u is positive.\nAnswer: u**(349\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 285238858 > 285238858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -3) + 9 - (-1 + -7 - 3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -539\/8  (b) -1\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7709658 to the nearest integer?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -8006 (base 9) in base 15?\nAnswer: -1ae3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5*p**2 - 37*p - 102. What is k(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llsslll. Give prob of picking 1 l and 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyu when three letters picked without replacement from {w: 1, u: 7, d: 4, t: 2, z: 4, y: 2}?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 + 0.6. Let j = 177 - 145. Let b be 4\/80 + -3 + j\/10. Put b, 3, -3, v in decreasing order.\nAnswer: 3, v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in 4, -10\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - 0 - 11) + (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-39360)\/(-21) - (-14)\/(-49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*(i\/(i\/i**6))\/i*i*i*i\/(i**(-1\/2)\/i))\/(i**(-2\/3)*i\/(i\/i**(-5))) assuming i is positive.\nAnswer: i**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77 (base 11) to base 5.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 66 + 21 = 3*m, 3*x - 45 = -4*m. Suppose -3*r = 2*r - x. Solve 0 = -u - 3*d - 9 - 4, 0 = 5*u + r*d + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 32?  (a) -0.037  (b) -1\/2  (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 644736 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11801807 is divided by 358.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 206168 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -661111*f**4 - 682461 wrt f.\nAnswer: -2644444*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**3*z**5 - 62205*g**3*z**3 - 208*g**3*z**2 + 6*g**2*z + 3*g*z**2 wrt z?\nAnswer: 120*g**3*z**2 - 373230*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -159\/7 in -5, -9, -3, -183?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003455879 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2*j = -106, -5*x - j + 265 = 2*j. Let m = x - 36. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 7. Let n(f) = 17 - v*f**2 + 11*f**2 + 0. What is n(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((3*sqrt(78))\/sqrt(6) + sqrt(13)).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2665 + 2650 = 15*y. Let z(x) = x**2 - x - 1. Let r(p) = 7*p**2 - 26*p - 6. Calculate y*r(o) + 6*z(o).\nAnswer: -o**2 + 20*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -7, 2, -1247 in increasing order.\nAnswer: -1247, -7, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {i: 4, p: 1, d: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1.1*7652\nAnswer: -8417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*v**4 + 15505*v**3 - 9*v**2 - 1782*v - 1.\nAnswer: 192*v + 93030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 4*a - 57, -8*u + 11*u = 15. Suppose 4*i - a = -5*h - 3, 2*h = 3*i - 17. Solve 10 + 5 = -i*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -4\/236821679 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 times -0.56?\nAnswer: 15.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 PM and 3:13 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 7 - 7)*(-66*w**2 + 91 - 90 - 103*w**2).\nAnswer: 338*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 50 = 4*o, 2*j + 3*o = -6 - 50. Let a be 4\/j - ((-24)\/11)\/1. Put 5, a, -4 in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1330817 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 3*n + 4. What is the lowest common multiple of g(4) and 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w = 18 + 42. Suppose -w = 2*b + 3*s, -b + 30 = 4*b - 5*s. Let l(r) = r**2 - 2*r + 3. Give l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64869?\nAnswer: 3, 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 11) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2, -10, 4, 52, 146?\n\"Answer: 2*g**3 - g**2 - 19*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 10*c**2. Let h(q) = 54*q. Determine h(y(m)).\nAnswer: 540*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + 15. Calculate the smallest common multiple of 20 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -14. Let p = -247 - -375. Let l be (4\/(-12))\/(p\/(-42) + 3). What is the highest common factor of z and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 96 and 80.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/2772812 and 3\/236.\nAnswer: 163595908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1427 (base 12) to base 15.\nAnswer: -a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20.5 - 17.5. Let j be (-156)\/(-16) + (-9)\/12. Let c = -0.216 - -0.416. Sort j, c, w in descending order.\nAnswer: j, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2503464446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 464\/3*d + 10\/3*d**2 - 94 = 0.\nAnswer: -47, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b + 6. Let q be g(8). Let d be 0 + (q - 0) + 0. Sort -3, 4, d in decreasing order.\nAnswer: 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 156923376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3564\/23 + -155. Let w = f - 43\/69. Let z be (-2)\/5 - (-32)\/105. Sort w, z, 0.5 in decreasing order.\nAnswer: 0.5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4066309 to the power of 1\/2, to the nearest integer?\nAnswer: 2017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**(-1\/2)*b))**21\/((b*b**(-7))\/(b**(-1)\/b)) assuming b is positive.\nAnswer: b**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 237 = 4*z - z. Let h = z + -62. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3*c**2. Let m be t(1). Let k = 9 + m. Let w be ((-4)\/k)\/(1 + -2). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -189 - -285. Suppose 0 = -7*o + 579 - q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*l + 23*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 12227, 24455, 36685, 48917, 61151?\n\"Answer: h**2 + 12225*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 - 81. Let n = p - -36. Calculate the remainder when 39 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0169757568 rounded to five decimal places?\nAnswer: -0.01698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8 and -420861.\nAnswer: 3366888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 6:54 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 138, 654, 1500, 2664, 4134, 5898, 7944, 10260?\nAnswer: 12834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-142)\/(-12) + (-2)\/(-12). Let i = 19 - q. Let f(j) = -j**3 + 7*j**2 + 1. Let a be f(i). Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5367264 milligrams to grams.\nAnswer: 0.0005367264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -556.2 * 2.\nAnswer: -1112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 11:44 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 24 - 124 = 0. What is the lowest common multiple of 8 and (-12)\/4 + q\/1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 12*q**2 - q + 7. Let n be c(12). Let h be n\/10*(4 + 2). Does 24 divide 9\/((-54)\/(-1272))*h\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 587031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o + 15*o + 4 = 0, 51 = 3*m + 3*o. Suppose -2 + m = -8*i. Let l be (((-27)\/6 - -4) + -1)*i. Sort 2, 0, 4, l.\nAnswer: 0, 2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-1\/4))\/r**(-13\/4) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -18644.5 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 4*p - 5. Let a be k(5). Suppose i + 3*n + 8 = 0, -2*i + a*n = -5*n - 39. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168758077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/16635?  (a) 0  (b) -5  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 831 and 4?\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - c + 6. Suppose -1 = 3*n + y, -2*y - y - 3 = 3*n. Is 2 a factor of v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 187 - 192. What is the biggest value in 350, -2, y?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 - -28. Suppose -2 - 13 = -u*a. Let c = -6 + 14. Solve c = 4*z - 3*v + 27, a*z - v = -10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -96*-6160\nAnswer: 591360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2021 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -9. Let j(n) = n**2 - 10*n + 66. Let m(k) = 6*d(k) + j(k). Determine m(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1*(-29 + 3) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7495 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 0.7  (c) -0.38  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-19 - 1)*(-2)\/5. Let v(z) = -z**3 + 9*z**2 - 12*z + 1. Let k be v(t). Let l = -21 - k. What is the remainder when 17 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v - 3. Let f(q) = 5*q - 7. Let u(h) = 6*f(h) - 14*m(h). Let y(s) = -14*s**2. Give y(u(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 251 + -253. Is l\/(-12)*-23116*(-3)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35105)\/(-343026) + 3\/(-19).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 8*x**2 + 16*x + 5. Let o be 6\/(-21) - 4\/((-168)\/222). Let i be r(o). Solve d = -d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + (-65)\/(-2))*74 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.069 * 0.5.\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 + 0.3. Let m = -0.6 + -0.4. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -92982916 equal to -92982917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2 + 4878*a + 1982907.\nAnswer: 3*(a + 813)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 15)*(-2)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -160*t + 165*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*t**4 + 36911*t**3 - 28*t**2 + 37384126*t + 1 wrt t?\nAnswer: -72*t**2 + 221466*t - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1001455 (base 6) to base 8\nAnswer: -133713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 13*s**2 + 2*s + 1. Suppose 5*z = -4*t - 25, 2 = z + t + 8. Let w be n(z). Let b be (-15)\/12*w\/3. Sort -4, b, 2 in decreasing order.\nAnswer: 2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*((-33)\/(-6))\/1. Suppose 4*n - 52 = -3*s, 5*n + p + 14 = 0. Suppose -4*o = 4*x - 312, -4*x = -4*o - 328 + s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 104 and 0.253.\nAnswer: 26.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.11 + -0.11. Suppose 7*v = 12*v - m - 18, -3*v = 3*m. Suppose -2 = 2*k - b + v*b, 14 = 4*k - 5*b. Sort k, -0.2, s in descending order.\nAnswer: s, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w + 1. Let t(u) = 3 - 3 - 3. Let f(q) = 3*j(q) + t(q). Let r(z) = z**3 - z. Give f(d) - 3*r(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 549252.9l in millilitres?\nAnswer: 549252900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, 5, -122, 4, -2, -0.6 in decreasing order.\nAnswer: 5, 4, 5\/4, -0.6, -2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 0.5  (c) 9  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (190\/105 - 2)*(-18)\/12.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6643942 by -3321971.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34.3 * -21.2.\nAnswer: -727.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-6))\/(1\/12). Let j be -2*2*(0 + 3\/m). Solve q + j*q + 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176140*v**2 - 4*v + 352270*v**2 - 176129*v**2 + 4*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + 17. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 7. Let n = -8 - i. What is the units digit of 27\/6 + (-1)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -378 - -381. Sort p, -5\/31, -0.3 in decreasing order.\nAnswer: p, -5\/31, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - z - 8)*(7*z**4 - 5*z**4 - 3*z**4) - 1 + 2*z**4 - 7*z**5 + 33*z**2 - 33*z**2.\nAnswer: -6*z**5 + 2*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y - 4*y = -140. Suppose 3*t + 5*w = -4, -2*w + 7*w = -5*t - y. Is t at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(((-2375)\/(-50))\/(-5))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 71\/3 of a year?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -100010010010 (base 2) to base 9\nAnswer: -3007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -15*u**3 - 3*u**2 + u + 7. Let y be d(-6). Let f be (y*-15 - 3) + -2. What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 295071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 4*t - 12*g + 9*g, -85 = 3*t - 14*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 + 11*a**2 - 13*a + 30. Let b be u(6). What is the greatest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -3*s**4\/2 - 21*s**3\/2 - 21*s**2 - 12*s = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -131, -134, 11 in increasing order.\nAnswer: -134, -131, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*c = 2 - 24, -5*b + c = -14. Suppose 4*u - 8 = -0*u. Suppose -u = -3*v + 7. Solve 0 = -f - b*i, 0 = 2*f + 3*i - 5 + v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.22071*-3.9.\nAnswer: 0.860769","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-8)\/(-24))\/(2\/24). Find the common denominator of (-32)\/24*6\/n and 51\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 47*p - 106. What is f(4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -5668*o + 7. Give n(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*p**2 + 0 + 0*p**2 - 3*p**3 + 2 + 5*p**3 to the form v + x*p + f*p**2 + y*p**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13773.\nAnswer: 3, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - y**2 - 1. Let s(r) = 7*r**3 + 23*r**2 + r + 16. Let p(l) = 6*j(l) - s(l). Calculate p(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1034729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of i**4\/24 + i**3\/3 + 7*i**2\/2 + 2. Let g(n) be the second derivative of f(n). What is the first derivative of g(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 3:52 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5508.48 * 689.\nAnswer: -3795342.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from iiuiuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93695 is divided by 7207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-12)*-3*-12. Let o be x*((-10)\/4 - -3). Solve f - 10 = -o*q - f, 2*q - f - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2320, 2321, 2322, 2323?\n\"Answer: m + 2319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1307153 (base 8) to base 7.\nAnswer: -3044426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (81\/6 - 4)*-2. Which is the closest to 1?  (a) 1\/5  (b) n  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2132 + 3609. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**3 + 2*w - 3. Suppose 3*v = -3, -m = -6*m - 3*v + 2. Let z be y(m). Solve 0*r + 3*b + z = 2*r, 0 = -r - 5*b - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.018679l to millilitres.\nAnswer: 9018.679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -438 by -4857.\nAnswer: 146\/1619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 129 and 563497757.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-33)\/(-15))\/((165\/(-25))\/(-11))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 485077?\nAnswer: 509, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g**3\/3 + 72010*g**2\/3 - 17289600*g + 6912000 = 0. What is g?\nAnswer: 2\/5, 1440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110100 (base 2) in base 16?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-6) - 180\/24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 61*j**2 + 8*j + 2. Is d(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 626244515 to the power of 1\/3, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 10*f**5\/3 - 325*f**4\/3 + 1720*f**3\/3 - 3565*f**2\/3 + 3220*f\/3 - 1060\/3 = 0?\nAnswer: 1, 2, 53\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 54372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 517*22806\nAnswer: 11790702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3568 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 56156511793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.76985*-5.\nAnswer: -3.84925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 - o**2 - 4*o + 5. What is l(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30\/4039 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3729832 and 917?\nAnswer: 26108824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -6*i**2 + i + 1. Let t = 23 - 21. Give z(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 1241352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + t + 1059 - 1097 = 0, 2*m - 5 = 3*t. Let w = 6 + -4. Solve m*u = w*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37726 less than or equal to 37577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and 21.7?\nAnswer: 151.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -678881341\/18 - -37704828. Let b = 10805 + a. What is the common denominator of -95\/12 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 217\/3 + -73. Which is the biggest value?  (a) -4  (b) n  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13870*l**2*y**5 + 4*l**2 + 59*l*y**2 - 2*y**5 - 2*y - 2 wrt y?\nAnswer: -832200*l**2*y**2 - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 1110212220?\nAnswer: 1110212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1964676 is divided by 98228.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 227*l**2 + 3\/50*l**5 + 11\/60*l**4 + 1\/300*l**6 - 1\/525*l**7 + 0*l + 0 + 4\/15*l**3. Factor b(n).\nAnswer: -2*(n - 4)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 14a86?\nAnswer: -14a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + d - 1. Let m be c(3). Let o = 10508 - 10493. Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -83 + 44.4. Let z = u + 38.59534. What is z rounded to 4 decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17617, -17959, -18313, -18679, -19057?\nAnswer: -19447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 131429 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 7*t**3 - 4*t**2 + 5*t + 477. Let k(v) = 3*v**3 - 3*v**2 + v + 1. Determine 2*k(z) - s(z).\nAnswer: -z**3 - 2*z**2 - 3*z - 475","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*k**2*y + k**2 - 30*k*y + 223*k + 14*y - 8 wrt y?\nAnswer: -3*k**2 - 30*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 6:59 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 12:02 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.1722597 times -2\nAnswer: 0.3445194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4024441 (base 7) in base 8?\nAnswer: 1643503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*s + 341 - 341. Which is greater: s or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13194 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + (1790\/(-1969) - 1149\/(-66))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -7*n**2 + 897*n - 207. Calculate t(128).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -93768 divided by -1\nAnswer: 93768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 342\/798 + (-9)\/21. Factor 0*k - 2\/3*k**5 + s*k**3 + 0 - 2\/3*k**4 + 0*k**2.\nAnswer: -2*k**4*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + n**2 - 4*n + 6. What is the units digit of w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*o + 4094 = -170 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*c**2 - 5*c**2 + 73 - 80 in the form x*c + y*c**2 + d and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -144, -4, 3, 0, 2 in descending order.\nAnswer: 3, 2, 0, -2, -4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than -23\/2934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-20))\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 4 = -0*a. Suppose a*i = i - h - 1, 2*h = -i + 3. Let f = -0.61 + 0.6. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 11890.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*y = 90*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 548.5098 decades?\nAnswer: 5.485098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -105 + 106.75. Let i = -1.65 + r. Does -0.025 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*z**2 + 2753*z - 307264 with respect to z.\nAnswer: 26*z + 2753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 255709 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213750274?\nAnswer: 2, 59, 1811443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -d + 4*d + 19, 2*d - s + 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1286, 2196, 3106?\nAnswer: 4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, d: 2, t: 1, n: 1, g: 2, o: 2}. Give prob of picking 1 o, 1 t, and 1 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -9*s - 7. Let h be 5 - (-3 - (-12)\/3). Let p(z) = -z + 6 + z + h*z - 3. Suppose 2*o = -f - 11, 2*o - 41 = 3*f - 64. Calculate o*p(j) - 3*l(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (2 + -4 + 4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -11*x - 160. Let m be j(-12). Let y(u) = -33*u - 196. What is the hundreds digit of y(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*d = -28*d + 672. Suppose -6*c + 8*c - 4 = 0. Let v(n) = -n**3 + n + 2*n**3 - 6*n**c - 3 - 5*n**2 + 4*n**2. Give v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 7*k + 5. Let w(c) = -2*c**2 + 21*c + 16. Let h be w(11). Let t(a) = a**2 - 4*a + 2. Determine h*t(f) - 3*v(f).\nAnswer: 2*f**2 + f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 + 85 + 6 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, o: 3}. What is prob of picking 3 s?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-582*g - 242 + 295*g + 286*g)*(-4*g**2 + 5*g**2 + 2*g**2).\nAnswer: -3*g**3 - 726*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 3*m - 6*m = 18, -2*y - 8 = 2*m. Does 6 divide (-3 - (y + 27))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -215 - -270. Let d = p - 54.99999996. What is d rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence grgr when four letters picked without replacement from {r: 7, g: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14\/(-35) + (-27)\/(-5). Let w(n) = -n**2 - 4*n - 6. Let o be w(q). Let l be o\/(-6) + 2\/4. Calculate the highest common factor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nttnnnnnntntnnnt. Give prob of sequence nn.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3400 a factor of 399017639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(7\/(-7))*((-60)\/10)\/(-3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 160 and 27646880.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v + 10*v - 31 - 3*v + v in the form t*v + n and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000011110100 + -100?\nAnswer: 1000011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 375060737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {q: 1, b: 7, s: 2, c: 2, m: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -3*q + 3. Suppose 0*i = -4*i - 12, 3*i = -t - 14. Does 3 divide u(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16.4 - -22. Let h = 14.4 - 20. Let k = h + z. What is the nearest to 0 in k, -4, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 471*g**2 + 14*g**4 + 15*g**4 - 143 - 30*g**4 - 214 wrt g?\nAnswer: -4*g**3 + 942*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-105))\/((-4)\/(-14)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134498 < 134502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 0 + 0 - 6*s + 5*s. Let z(h) be the second derivative of 0 + 1\/2*h**3 + 0*h**2 + 5*h. Give z(d(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r + 4013 = 221. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - 2 + 2 + (0 + 0 + 2)*(2*a + 0*a - 3*a) - a - a + a)*(3*a**2 - 2*a**2 + 6*a**2) + a**3 + 6*a**3 + 2*a**3 + (a**2 - a**2 - a**2)*(0*a - a + 2*a).\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20581 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + 118\/(-35))\/((-714)\/(-210) + (-2059)\/580)?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, o: 1, k: 1, p: 6, b: 1, m: 3}. What is prob of picking 1 k, 1 b, 1 o, and 1 m?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 80 - 46. Suppose 2*o - 2 = -0*o. Let a be (34\/(-6))\/(o\/(-9)). What is the highest common divisor of a and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 45*w**2 + 42*w + 96. Give p(46).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times -2.97?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 159*o - 6. Let y be (-1)\/((-3 - -2)\/(5 + -1)). Does 27 divide a(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 447764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(1539) - (sqrt(1539) + (1 + sqrt(1539) + sqrt(1539))**2)*5) - ((sqrt(209)*-1)\/sqrt(11) - (3 + sqrt(19) + -2))**2.\nAnswer: -30862 - 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 881 (base 11) to base 5\nAnswer: 13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2822557, 2822559, 2822563, 2822569, 2822577?\n\"Answer: u**2 - u + 2822557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gnkhkvgknln. What is prob of sequence nvkl?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.34 + 1.53. Let o = 0.51 + h. Which is the fourth smallest value?  (a) o  (b) -3  (c) -1.3  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2777658*k*z**2 + 1971114*k wrt z?\nAnswer: -5555316*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -13*k. Let j(h) = 575*h**2. Give i(j(z)).\nAnswer: -7475*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -187289, -187382, -187475, -187568?\nAnswer: -187661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.1 - -0.5. Let c = 32099 - 32100.6091. Let y = c - r. Round y to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364611277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 32.8 and 2194038979.\nAnswer: 2194039011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 26*m + 14. Let v(q) = -5*q - 3. Let y(i) = -3*f(i) - 16*v(i). Let o(j) = -j**2. Give o(y(g)).\nAnswer: -4*g**2 - 24*g - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6817.427 weeks?\nAnswer: 4123179849600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.569 and -279?\nAnswer: 2111.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - 17. Calculate the remainder when (296\/x + 3)\/((-1)\/(-3)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5*(125661\/15)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4 - 4 + 2*x)*(2 + 2 - 2) - 5*x + 0*x + 6*x + 3*x - 1 + 1)*(-2 + 2 + x) - 18*x**2 + 20*x**2 + 2*x - 15 - 83 to r + m*x + v*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1606 = 13*i + 9*i - 1562 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 - 9*u + 10. Let m be c(8). Suppose s = m*s + 1. Is 1 - (2*s + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mpm when three letters picked without replacement from ppppmppmppppp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dtff. What is prob of sequence ffd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*p - 9 - 201 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a + 6. Suppose -37 - 27 = -4*c. Suppose 20 = -3*i + 2*h + 3*h, -5*i + 4*h - c = 0. What is o(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -7*s + 13. Let b be c(-6). Suppose -5*u = 94 + 266. Let k = b - u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -496*a**2 - 489*a**2 - 10 + 984*a**2 + 19*a. What is the tens digit of g(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -6*q - q. Suppose 118*o - 134*o + 28288 = q. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/5 + 6\/3 + ((-64512)\/(-700))\/48?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 - -15 - -7) + (2 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/2)\/((-4)\/(-74)). Suppose 0*v = 2*v - i. Solve -s - 14 = 2*m, 9*m - 4*m + 3*s + v = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u = 7*u + 52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v - 6. Let o be u(4). What are the prime factors of (-156)\/(-8) + (-3)\/o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6579 by -83613.\nAnswer: 2193\/27871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23302 + 39603. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*r - 494*r - 20064 = -205*r for r.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 - 28*w + 79. Is i(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1068 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 335 - 127 = 2*k, 3*q - k = 1411. Suppose -q - 2384 = -6*u. What are the prime factors of u?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l = -69*l + 224455. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4\/5  (b) -0.1  (c) -2\/15  (d) -11  (e) 20  (f) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 43*0.4\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 4*s + 4 = -0, 3*h + 2*s = 12. Calculate the common denominator of h\/((-162)\/105 - 8\/28) and -17\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -t. Let w = 290\/9 - 4667\/144. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -z**3\/3 + 8. Let m(h) = 36*h**2. Determine s(m(w)).\nAnswer: -1296*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 - 2*g**2 - 5 - 4)*(-7*g**2 + 7*g**2 - 10*g**2) to w*g**3 + b*g**2 + n + q*g + v*g**4 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-136)\/(-36) + 2\/9. Let s**2 + c*s**3 - 17 - 3*s**3 + 17 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -1, -3\/5, -1.8 in ascending order.\nAnswer: -1.8, -1, -3\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (51250\/(-15))\/(5\/(-600)). What is p rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-774)*40\/(-20))\/(2\/12)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 - 29198300*p + 42627036144500.\nAnswer: 5*(p - 2919830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155488?\nAnswer: 2, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**3 - 9*u**2 - 544*u - 193. Calculate o(15).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/160783929 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 8 = 0, 6*y - 3*y + 3*o = -12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211021 + 202?\nAnswer: 212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 289*b**5 - b**4 - 2459*b**2 wrt b?\nAnswer: 17340*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -90\/49 in 1, -25, 0.4, 0.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c**2 + 2*c - 2. Let a be p(1). Suppose -a*u + 4 = -4. Suppose -6 = -u*w - 0. Solve 2*v - v + o = -w, -5*o = 2*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 31*p - 34*p - h - 32 + 52, -5*p + h - 20 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -73460821, -73460818, -73460815?\nAnswer: -73460812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2483720 - 459\nAnswer: -2484179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*a - 7 - 6*a - 67*a**2 - 23*a in the form r*a + y + d*a**2 and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 70. Let y = 65.9999764 - k. Round y to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/420*21*-1*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1345696 and 2112?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 833, 847, 861, 875, 889, 903?\n\"Answer: 14*t + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z + 0*z + 85 - 4*z + z + 65*z - 57*z.\nAnswer: 3*z + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -4*j**2 - 93 + 93. Let i(y) = 2*y**2. What is i(m(w))?\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1886 or -1891?\nAnswer: -1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 71499226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 3. Let m be (-12)\/3 - -16 - 0. Let z = m - 11. What is the remainder when o is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 87*i**2 - 500*i + 13806. Calculate b(83).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, a: 1, g: 1, n: 5, l: 4, o: 1}. Give prob of sequence ngoa.\nAnswer: 1\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 84 + -60. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 153\/(-6)*2\/(-3). Suppose m = 4*d + 22, 4*d + r = 4*m - 23. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 * 109\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - x**4 - 3 + (-3*x**3 + 4*x**3 - 3*x**3)*(x - x - x) - 5*x**4 + 5*x**4 + x**4 - x**4 + 55*x - 21*x - 21*x + 12*x**4 + 12*x**4 - 7*x**4.\nAnswer: 18*x**4 + 13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.26 and -303.86.\nAnswer: -1294.4436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -230 - -372. Calculate the remainder when 6\/4*-1 + 15123\/p is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 + 9*g + 9. Let m be z(-8). What is the units digit of 43 + m + (-1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2360 - 3823955809.\nAnswer: -3823953449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95448.69 litres to millilitres.\nAnswer: 95448690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 2*c = 23, 2*x + 23*c - 19*c = 22. Solve -4*s + x = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**(-10))\/h**(-4)*h\/h**(8\/13)*h*h**(-9)\/h*h*h)**(-11) assuming h is positive.\nAnswer: h**(1518\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 413*b**2 + 6*b - 10. Let u be p(4). Suppose -7*i + u = 1169. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/5)\/(1\/5). Let i = 27 + 1. Find the common denominator of 44\/7 and (-3)\/(-3) + i\/z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 93 = n, -17 = -5*x + 2*n + 238. Let s(m) = 57*m - 278. Let a be s(5). Calculate the greatest common factor of x and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 10) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**2 + 9. Let q(u) = 2*u**2. Give z(q(r)).\nAnswer: 8*r**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, e: 2, j: 1}. What is prob of picking 1 j and 1 k?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 223 - 214. Suppose -2782 = -r*u - 325. Calculate the highest common divisor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - 7*g**2 + 17*g - 11. Let q be l(-9). Let h be (333\/3*-1)\/q. Factor -27\/2*a**4 + 30*a - h*a**2 + 45*a**3 - 6.\nAnswer: -3*(a - 1)**2*(3*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 8:10 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/15  (b) -3072  (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 55 and 125?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2593, 5188, 7779, 10366, 12949?\nAnswer: 15528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -17 and -127 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 3. Let y = 5 - m. Suppose 3 = -g, -3*s + 3*g = 2*s - 9. Solve 2*o - t + 5 = 6*o, o - 5*t + y = s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/11  (b) 3\/5  (c) -345776  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31606161\/208 - -151953. Calculate the common denominator of q and 119\/6.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-29153)\/19438 + (-3)\/(-12)*6. Let r = f + 1448119\/58314. Calculate the common denominator of -4\/11 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2664, 4, 974.\nAnswer: -2664, 4, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 34 - 50 = 0. Let t(v) = -v**2 + 6*v + 8. What is t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 - 38. Solve -2*t - r*t - 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2372538463939 + -2372535902669.999966. Let l = c - 2561264. Let i = -5 + l. Round i to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5330430*k**2*q**3 - 26*k**2*q**2 + 30*k**2*q + k*q**3 - 2*k*q**2 + 871*k - 6*q**3 + 2*q - 1 wrt q.\nAnswer: 31982580*k**2 + 6*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23392 - 23397. Sort 0, a, -12, 42 in descending order.\nAnswer: 42, 0, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2 + 10 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-3\/46)*l)**45)**(-27\/7))**32 assuming l is positive.\nAnswer: l**(-835920\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -34, -48, -84, -142, -222, -324, -448?\n\"Answer: -11*o**2 + 19*o - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.04 - 4.96. Let t = 5 + w. Which is the nearest to t?  (a) 0.2  (b) 0.5  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 - 74. Let b(s) = -s**2 - 7*s + 3. Let u be b(n). Is 17 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddqdqqqddqddd.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 88 + -65. Suppose 3*o + q + 2 = 6, -4*q - k = -o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*b + 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -35\/4, 0.1, 33, 3, -0.5, 2\/15 in increasing order.\nAnswer: -35\/4, -0.5, 0.1, 2\/15, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 2*z - 34. Suppose -i - 3*i - 20 = 0. Which is the closest to -0.12?  (a) i  (b) 0  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32034932 is divided by 32034932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -51 and 0.3.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1126851901 to the power of 1\/2, to the nearest integer?\nAnswer: 33569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9130 or -4515?\nAnswer: -4515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1 + ((-34)\/(-30) - 2\/(-10))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45*b**2 - 29*b**2 - 99*b**2)*(0*b**2 + b**2 + 2*b**2)*(3 - 5 - 2).\nAnswer: 996*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p**2 - p + 2. Let s(f) = -16*f**2 + 4*f - 9. Calculate -9*q(u) - 2*s(u).\nAnswer: -4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(48))**2 - ((sqrt(363) - -1*sqrt(363)) + sqrt(363))**2.\nAnswer: -3210 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 212543.\nAnswer: 23, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(132)\/((sqrt(24)\/sqrt(2) + sqrt(12))*-1) - -4*sqrt(55)\/sqrt(80).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -53*w + 1097 - 620. Suppose 0 = -4*d + 35 + 13. What is the highest common factor of w and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, m: 3, u: 2, e: 4}. Give prob of sequence ke.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 963 = -k - 46*a, 7088 = -5*k - a + 7082 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 3*a + 4*r + 22 = 0, 4 = -5*r - 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/5))**22 assuming j is positive.\nAnswer: j**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*g = -44*g + 32 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(171) + 5 - sqrt(171))**2 + sqrt(171) + -1 + -1 + (-6*(-2 + sqrt(171))**2 - (1*sqrt(171) + -2 + sqrt(171))**2) + -5.\nAnswer: -181 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 630 and 31068.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4230*b**2 + 4437269*b + 1054. Calculate x(1049).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r - 12*r - 5*l - 21 = 0, l = -3*r - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 5) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + 3*x - 18. Let q be b(10). Let m = 128 + q. Suppose f - i - 29 + 7 = 0, 3*f - 58 = -i. Calculate the highest common divisor of m and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.316 - 603.684. Let s = -598 - p. Which is the third smallest value?  (a) 4  (b) -4  (c) 1  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 300829140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 884836551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -27, -82, -153, -234, -319, -402, -477?\n\"Answer: m**3 - 14*m**2 - 20*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -182 + -1?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 0*z = -4*l + 6, l + 4*z - 6 = 0. Let b(v) = -3*v**l + 8 + 4*v**2 - v**3 - 6*v**2 + 10*v. Determine b(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from sqsqqqqqssqsqssqsqss?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 4*k + 85 = 0, -4*g + 6*g + 34*k + 442 = 5*g - 315 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -313, -1210, -2695, -4768, -7429?\n\"Answer: -294*l**2 - 15*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, 18, 0.33, -4, 5\/4, 0.3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**5 + 32*q**4 + 20*q**3 - 56*q**2.\nAnswer: 4*q**2*(q - 1)*(q + 2)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1014 and 71682?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**3 - 147*j**2 + 72*j + 71. What is b(73)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -100\/11  (b) -4  (c) -10  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -6*k**2 + 60*k + 11. Let b(d) = -d**2 + 12*d + 2. Calculate -11*b(l) + 2*g(l).\nAnswer: -l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -3, 0.5, 0.4, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 11 = 2*l. Let q(z) = 2*z**3 - 8*z**2 + 4*z - 4. Suppose 2*a - 9 = 1. Let f be q(a). What is the highest common divisor of l and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21004.\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1576 - 126. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**5 - 3*c**4 - 1929577*c**3 + 16*c**2 - 124024*c - 2.\nAnswer: 60*c**2 - 72*c - 11577462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103 (base 5) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 621 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/9)\/((-30)\/135). Suppose n*g = 3*f - 11 + 2, 9 = 3*f. Solve 2*h - 8 + g = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232*l = 44 - 49 + 237 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -77 - -127. Let i = d + -50. Which is the closest to 2?  (a) -5  (b) -0.3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + 28*o**2 + o - 19. Let r be k(28). Let v = r + -7. Factor 57*d**3 - 62*d**3 + 67*d + 3*d + 7*d**v + 18*d**2.\nAnswer: -5*d*(d - 7)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1636515214 to the power of 1\/3, to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/10*1\/(-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + -58 + 201 + -26.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*i + 99*i + 142*i + 157*i.\nAnswer: 353*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 0*v**4 - 36*v**2 - 2*v - 21 - 113\/20*v**5 + 0*v**3. What is the first derivative of c(j) wrt j?\nAnswer: -339*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 48 + -68. Let i be 10\/(-15) + h\/(-3). Let a be (i\/(-6))\/((-2)\/6). Solve -a*p + 4*d - 4 = -5, -p - 5*d = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28*f**2*j**3 - 2*f**2*w - 2*f*j**3*w + 8*f*j**2*w - 2*j**3*w + 10*j**2*w wrt f.\nAnswer: 56*j**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*h = 10, -4*o + 82 = -5*h - 0*h. Is (-9)\/(o\/4) + 675 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, a: 1, h: 2, l: 1}. Give prob of picking 2 g and 1 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 73087411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3475 at most as big as 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.99276um in nanometers?\nAnswer: 3992.76","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 157, 162, 171, 184, 201?\n\"Answer: 2*s**2 - s + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -145*w**5 + 7981*w**3 - 7109754*w wrt w?\nAnswer: -2900*w**3 + 47886*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -2*w. Suppose w = -2*r - r + 2658. Suppose -3*z = -z - r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/11)*o*o*o**(-6\/7)\/o)\/(o**0)**(6\/7) assuming o is positive.\nAnswer: o**(25\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 8. Let h(r) = 11*r + 62. Let a be h(-3). Suppose -a*g + 26*g = -21. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and -605816?\nAnswer: 605816.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-5 + 8) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/(-24))\/((32\/(-6))\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 96291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0033875703 rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 201.4 - 201. Let l be 51\/918 + (-4)\/18. What is the nearest to 0.6 in l, p, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 2:41 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 173599 - 173597.27974. Let x = o - 1.72. Round x to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 less than 0.453?\nAnswer: -15.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -1. Let i(p) = 2*p - 2. Let o(q) = -i(q) + u(q). Let t be o(-1). Solve -2*m - m = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 12) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*z**3 - 13*z**3 + z**3 - 392*z**4 + 391*z**4 - 351*z**2 wrt z.\nAnswer: -24*z - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1808697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84063 (base 9) to base 8.\nAnswer: 154245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - -1 - (5 + (-6 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*b + 49 = 0, 3*b - 17 = -2*u + 14. Let h(a) = 2*a**3 - 3*a**2 - a - 2. Let q be h(3). Calculate the highest common factor of q and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*c*y**2 - 2*c*y*z - 7*c + 2429*y**3*z + 37*y**3 - 3 wrt z.\nAnswer: -2*c*y + 2429*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 95 and -0.002?\nAnswer: 95.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2009, -2064, -2119, -2174, -2229?\n\"Answer: -55*b - 1954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -s**3\/6 - 11*s**2 + 99*s. Determine f(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71 + -27. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from wwhwwhmhwhwhwmwmwwm?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 3*w + 4. Let i be t(4). Suppose q = -i*q. Suppose -2*o + 6 = 3*u - u, q = 4*u. Let p(d) = -d + 4. Determine p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 2*y, -5*y - 23 = -4*h + 5. Let z(g) = 9*g + 1. Let p(s) = 4*s + 1. Let j be -34 + 33 - 4*1. What is h*z(n) + j*p(n)?\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13 + 23655?\nAnswer: 23642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15597.\nAnswer: 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -11. Solve -1 = b, 5*q - 4*b = q + s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -18*l**2 - 157*l - 1673. Calculate b(-10).\nAnswer: -1903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of -h**6\/120 - 13*h**3\/3 - 21. Let s(f) be the third derivative of w(f). Determine u so that s(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1305, -2613, -3935, -5277, -6645, -8045, -9483, -10965?\nAnswer: -12497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4996991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11739882 by 533631.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**5\/3 - 235*g**4\/3 + 4864*g**3 - 30324*g**2.\nAnswer: g**2*(g - 114)**2*(g - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**4 + 59*i**2 - i**3 - 58*i**2 - 4*i**4 - i**3 to o + h*i**3 + t*i + m*i**2 + v*i**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -14176 (base 10) in base 9?\nAnswer: -21401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -5*a**2. Suppose -2*q = 2*t - 6, 5*t - q - 39 = 2*q. Suppose -5*n + t = f, 12 = -4*n - 9*f + 4*f. Let r(o) = 96*o - 90*o - n + 2. Give p(r(b)).\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = t - 2*t. What is the common denominator of 67\/3 and ((-6)\/t)\/((-1)\/2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -28259200 to the nearest ten thousand.\nAnswer: -28260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 3*z + 4*z)*(2001*z + 1956*z + 5 - 4140*z).\nAnswer: -549*z**2 + 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4920.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyyyyzyyyyzyzzyy. Give prob of picking 3 z.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 5*y = 4*k + 40, -4*k - y = 30. Let m(f) = -19*f + 2. Let i be m(k). What is the greatest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -6*w**2 + 16*w + 16. Let p(l) = l**2 - 3*l - 3. Let v(u) = -16*p(u) - 3*z(u). Let i(s) = -2*s + 0*s + 4*s. Determine v(i(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*v + 33*v = -52. Suppose v*d = 56*d - 300. What is the greatest common factor of 125 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 0.5\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 712 - 6*u - 715 + 32*u.\nAnswer: 26*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 10*y**3 - 36*y**2 + 12*y + 8. Let n(j) = -j**3 + j**2 - 2*j - 1. Calculate 6*n(v) + t(v).\nAnswer: 4*v**3 - 30*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 3:15 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -93db4 (base 15) to base 10\nAnswer: -468844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s. Let f be i(0). Suppose -t - 2 - 3 = f. Let m(k) = k**3 + 4*k**2 - 7*k - 5. List the prime factors of m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.172379 >= -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.02 + 1.98. Let l = 12871\/12 - 3136\/3. Let w = -27 + l. Which is the smallest value?  (a) -4  (b) w  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 6 = 2*t, -5*d - 12 + 4 = 3*t. Which is the nearest to -21?  (a) 3\/7  (b) -2\/11  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22845 is divided by 167.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by 23.\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.25301 less than -671.921104?\nAnswer: -672.174114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -4*a - 3*b, 3*a - b = b + 24. Let v(i) = i - 6. Let q be v(8). Solve -q*y - y - z = -a, -5*y = 2*z - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = y - p - 2, -6 = -y + p. Solve 3*c = -4*u - 24, 2*c - y*c - 23 = 5*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2\/8 + 14835*v\/4 - 916887\/8.\nAnswer: -3*(v - 9859)*(v - 31)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**3 + 6*x**2 - 5*x - 3. Let b(z) = z**3 + 5*z**2 - 4*z - 2. What is -5*b(a) + 4*c(a)?\nAnswer: 3*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1922119489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 1. Let j be o*-19*(-12 - -2). Let d = j + -1145\/6. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 107 = -4*y, 25 = -5*y + 4*c + 158. Let b(t) = t**2 + t - 4. Let j be b(6). Let p = j - y. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 942 = 63*i - 5*x + 287, 3*i = x - 3*x + 20 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + (-15)\/3 + -1. Let f = 34.1 + -34. Let u = -0.43 + 0.53. Which is the nearest to f?  (a) z  (b) u  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*b - 17*b - 514. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -618*0.3\nAnswer: -185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12249*-0.1.\nAnswer: -1224.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0349 + -1.9651. Let f = -26 + 31. Which is the smallest value?  (a) f  (b) 1\/18  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(-2)*i)**(-1\/29) assuming i is positive.\nAnswer: i**(-1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3235\/9 - -359. What is the smallest value in -1\/3, f, 34?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -101 + 96. Calculate the least common multiple of (-3)\/(a\/(-36) - (-8)\/(-32)) and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**0\/(y*y\/(y*y*(y*y**(-1\/4)\/y*y*y)\/y*y)) assuming y is positive.\nAnswer: y**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 101 + -53. What is the greatest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 + 10*b. Let w be t(10). Suppose 2016 = 7*m - w*m. Does 52 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39345d (base 16) to base 8.\nAnswer: -16232135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 4:30 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -449 + 459. Suppose 34*p + 5*j = 38*p - 35, 0 = -5*p - 5*j + m. Let x be (6\/10)\/(8\/(-5)). Sort 0, x, p, -1.\nAnswer: -1, x, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*q**4 - 2*q**3 - 2*q**2 + 5*q**4 - q**4 - 2*q**4 in the form x*q**4 + r + y*q**2 + t*q**3 + w*q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 405 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 26 - 2 = -r, 0 = -c - 5*r + 24. Let n = 8 - 25. Let w = c + n. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of 0 - 1\/10*c**5 + 0*c**4 - 5*c**2 - 1\/6*c**3 + 0*c. Differentiate s(a) with respect to a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (214 - 214 - 33*g + 2 - 2 - 2*g + (g - 3 + 3)*(0 + 2 - 1))*(5*g**3 + 3*g**3 - 9*g**3) in the form u*g + x*g**4 + s + a*g**2 + v*g**3 and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s + 28 = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 1 + 3. Suppose -w + 2*m - 5 = 0, -t = 2*w - 3*m + 5. Let h = 0 - w. Solve 0 = -0*d + 3*d - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1205\/9 - 134. Let u = -0.1 - -0.2. What is the nearest to u in -2\/17, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 12 and 12216.\nAnswer: 12228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -4*s - 10, 3*s = 5*o + 172 - 186 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 8*w**2 + 23*w + 35. Let z be x(-4). Let m be (-18)\/z + 2166\/45. Solve -m + 39 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 7) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11 - -6385a5?\nAnswer: 6385b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 6, j: 3, v: 3, y: 1}. Give prob of picking 1 y and 2 i.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -247472770 divided by 6.\nAnswer: -123736385\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kzzmzzkzkmm. What is prob of picking 1 m, 1 z, and 1 k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 5, j: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6602764 and 29712438?\nAnswer: 59424876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-242)\/16 + (-2)\/(-16). Let y = -11 - z. Suppose 0 = y*n - 0*n - 116. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 6 + 3 = -2*s, -21 = 3*s + 5*i. Suppose -50 = -4*u - 14. Let t = u - s. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1467*-0.04.\nAnswer: 58.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.3 - -0.3. Let z(k) = -2*k - 2. Let y be z(-2). Let m = 2.11441 + -0.11441. Which is the nearest to y?  (a) r  (b) m  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 5*n**6\/6 - 7*n**5 + 55*n**4\/4 - 25*n**3\/3 - 1054. What is k in t(k) = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31.9983 - -32. Round d to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**3 + 2*j - 2. What is the least common multiple of 20 and r(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1034, -2, 0.0025?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 1443532310?\nAnswer: 1443532302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -215*m**2 + 2102*m + 514. Calculate v(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 2, 313 in decreasing order.\nAnswer: 313, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, 85, 252, 493?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3*l**2 + 2*l + 4. Suppose -3*g + 0*g + 15 = 0. Let b(i) = -5*i**2 - 3*i - 6. Let s = 178 + -170. Determine g*b(z) + s*m(z).\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -103537\/12 + 8621. What is the common denominator of -53\/3 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -363757 by 5.\nAnswer: -363757\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1920 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - o, 5*c = c - 3*o + 5. Suppose c*w = 1 + 9. Determine l so that -12 + l**2 - 5*l**w - 20*l - 4 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -9*c - 3. Let q be n(-2). Let l = 18 - q. Solve 0 = -3*p - 2*z - z - l, 2*z - 1 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 97204 divided by 48602\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 + 22. Let w = -56 - -59. Suppose a = -3*j + 466 - 169, 0 = w*j + k*a - 306. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 19999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4125 + -2290. Let h be -5 + b\/35 - (-16)\/28. Calculate the greatest common divisor of 128 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 4 - 1 + 2 + 0 + (3 - 1 - 3)*(2 + 0 - 3))*(2*h - h - 3*h)*(5*h - h + 0*h) + 3*h**2 - 3*h**2 + 2*h**2.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3104, 18986, 55802, 107344?\n\"Answer: 7363*j**2 + j - 10468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -1 + (3 - (6 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {m: 4, k: 1, b: 6, l: 4, c: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 5*s**2 - s + 3. Let b = 85 - 92. Let a(x) = -11*x**2 + 2*x - 7. Give b*h(p) - 3*a(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -c**7\/1260 + c**6\/144 - 3*c**5\/4 - 53*c**2. Let y(j) be the third derivative of z(j). What is y(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000632422 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136\/(-476)*((-3)\/(-6))\/(8\/40).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -34 + 37781*d - 75589*d + 37810*d. Let k(c) be the first derivative of 4*c**3\/3 + 1. What is g(k(a))?\nAnswer: 8*a**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (26\/(-10) - -3) + (-465792)\/(-20). Let r = d - 13190. Let g = r + -5365. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -25) + -21 - (-17 + -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c + -d7025?\nAnswer: -d7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z - 12. Let s be w(-3). Let d(u) be the first derivative of -4 + 1\/2*u**2 + s*u. Let n(v) = 5*v. Calculate n(d(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -69*j + 65*j, 0 = q - 5*j - 2682. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(76) + -1 + -3)**2 - 6*((-1*sqrt(76))**2 + sqrt(76))) + 4*(1 + -1*sqrt(19) + -2).\nAnswer: -367 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - 1. Let g(c) be the first derivative of -c**4\/4 - 8*c**3\/3 - 4*c - 6. Let q be g(-8). Put a, 4, q in descending order.\nAnswer: 4, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 3, -1\/26 in descending order.\nAnswer: 3, 1\/2, -1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -n**6\/720 + n**5\/30 - 3*n**4\/8 - 4*n**2. Let y(h) be the second derivative of x(h). Give y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*t - 20 = 70*t. Let i = t + 24. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3314525 - -3314523. Suppose -7 = -5*a + 18. Let z be ((-5)\/6)\/a*-1. Put z, p, 0.3 in decreasing order.\nAnswer: 0.3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -303912, -608451, -912980, -1217493, -1521984, -1826447?\n\"Answer: p**3 - p**2 - 304543*p + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o - 11. Let j be c(-4). Put 0.34, 1, j in ascending order.\nAnswer: j, 0.34, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-750)\/225)\/((-975)\/(-260))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i - 10. What is o(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20320 - -1101312221?\nAnswer: 1101333201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -0*l + 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 975 + 449. Let m(g) = n*g - 12*g**2 - 1424*g. Let s(c) = 5*c**2. What is s(m(b))?\nAnswer: 720*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and 1271094.\nAnswer: 1271098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -117*q. Let k(u) = 17*u. Calculate j(k(g)).\nAnswer: -1989*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 33386139 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 5, z: 2}. Give prob of picking 4 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 + 999 = q - 4*c, 4*q - 2981 = 3*c. Is q a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2. Let l(u) = -22557*u + 564. Calculate l(x(n)).\nAnswer: 22557*n**2 + 564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 1, 1\/10, -0.5, 1\/7, -117 in descending order.\nAnswer: 1, 1\/7, 1\/10, -3\/7, -0.5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6670207 and 0.5.\nAnswer: 3335103.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -345 = -j - 2*q, 1516 + 257 = 5*j - 2*q. What are the prime factors of j?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -84*m**2 - 2*m**3 + m**4 - 4*m + 82*m**2 - 5*m + 0*m**4 to the form o*m**2 + j*m + l + g*m**3 + f*m**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/(sqrt(11)*2))**2 + sqrt(112) + 1 + 1.\nAnswer: 15\/4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 + 6. Let p(k) = -13 + 3*k**2 + 0*k**2 - k**2. Let b(n) = 13*a(n) + 6*p(n). Let q(i) = -5*i - 490 + 490. Give b(q(s)).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 156 - 45 = -2*g, -4*g - 2*j = -382. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (1 + 41 - (-1253 - -1284)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-275)\/10 - (-1)\/(-2). Let y = -290\/11 + 2179\/33. Let t = y + n. Calculate the common denominator of -143\/6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/312 and (-5)\/(-2)*2\/12*10879\/(-32890).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 8*c**2 + 27*c - 11. Calculate the smallest common multiple of m(-6) and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(7 + (-497)\/70)*(-1)\/78?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of n**4\/8 + n**3\/6 + 5*n**2 + 4*n. Let k be 0\/1 + (0 - -3). Calculate the least common multiple of b(k) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 336 is divided by 28 + (-7)\/28 + (-4)\/(-16)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3088515308?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1080.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/115965270 and -86\/3006507.\nAnswer: 811756890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3516110 (base 7) in base 13?\nAnswer: -125c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in eleven tenths of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -239*b**2 - 2*b - 5. Let c(m) = -723*m**2 - 8*m - 16. Determine -2*c(s) + 7*g(s).\nAnswer: -227*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - 141*j**2 - 453*j + 1561. What are the prime factors of w(-138)?\nAnswer: 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - 1. Let i = s + 8. Suppose -o = 2*k, 5*o = 2*o + i*k + 16. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 3)*-34*(-4)\/(-24). What is the second derivative of 25*h + 16*h**4 + g*h - 59*h**4 wrt h?\nAnswer: -516*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 k, 1 d, and 1 u when four letters picked without replacement from dddddklllulud.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a kilogram in milligrams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 + -33.5. Sort h, -1, -10.\nAnswer: -10, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/(-4))\/((-6)\/(-12)))\/(4\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.06 + -2.06. Suppose x = 3*n - 567, 2*n + 3*x = 3*n - 181. Let k = n - 194. What is the smallest value in 1, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -1410765.7663 minus 2?\nAnswer: -1410767.7663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-111 - -66) + (8 - (-10 + -3 + 8)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 167017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5538900?\nAnswer: 2, 3, 5, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ee3 - 231?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 6*i + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 - 12*u**2 + 30*u + 19. Let r be a(8). Let f = 2 - 0. Put r, f, 0 in ascending order.\nAnswer: 0, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6990454717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -771 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/19944 and -61\/1123512.\nAnswer: 3370536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -614*f - 55 = -4*c - 619*f, 5*c = -3*f + 72. Sort c, -22, 3 in descending order.\nAnswer: c, 3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2981*w**6 + 2*w**4 - 2*w**3 + 9*w**2 + 2*w - 557?\nAnswer: -357720*w**3 + 48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.01 - 0.91. Which is the nearest to -3?  (a) p  (b) 0.3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/9*(-4 - -2) + 428\/(-18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -3*b**3 - 3*b**2 - 3*b + 1. Let z be u(-1). Let o be (12\/(-6))\/(z\/(-26)). Solve -4*v + 11 = 3*l, -2*l = -4*v - 7*l + o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104 and 1008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*i - 2*i - 2*i)*(-3 - 1 + 5)*(3059 - 3059 - 20*i)*(4 + 0 - 2) as q*i**2 + j*i + s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 9 = -3*t, -4*r + 4*t + 92 = 2*t. Let y = 45 - r. Suppose -4*k = -4*p - 24, 5*p + 3*k - 5*k = -y. Which is the biggest value?  (a) p  (b) -1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20a19 (base 12) in base 5?\nAnswer: 2333213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 165 + -119. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*h**2 - 19*h + 198*h**2 + 1 - h**3 - h**2.\nAnswer: -h**3 + 180*h**2 - 19*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -115 + 31. Let u(r) = r**2 + 2*r + 1. Let i be u(-2). Let a be (11 - 10)\/(i\/7). What is the greatest common divisor of a and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.19687, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/15, -53, 0, 0.4, -1, -8890?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -5. Suppose 0 = 3*r - 4*o + 5*o - 1, u*o + 24 = 2*r. Suppose 0 = -5*l + h + 2*h, 4*h = 3*l + 11. Solve l*a + 8 = r*d, 3*d = d + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 1.233  (c) -1\/6  (d) 5  (e) -2  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -94 - -354. Let b = 525 - v. What are the prime factors of b?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve a + 5*v - 2 = 0, -a = 4*a + v - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18865 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215619856*v**4\/3 + 4528163816*v**3\/3 - 3305143237*v**2 - 6754115*v\/3 - 1150\/3 = 0.\nAnswer: -23, -5\/14684, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 229 + -228.208. Let z = -423.208 - x. Let q = z + 423.9747. Round q to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5985, 23965, 53979, 96063, 150253, 216585?\nAnswer: 295095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 4  (b) 0.1  (c) -5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -196338\/5 + 39268. Let q = -21\/40 - -2\/5. What is the third biggest value in q, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15647993 is divided by 3911987?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2852223391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 - (1 - 4 - -34). Let p = q - -41. Suppose p = -0*v + v - m, 3*v + m - 14 = 0. Let l(w) = w**2 - 6*w + 3. What is l(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -24*n**2 + 583*n - 49. What is z(24)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by ((-48)\/120)\/((-2)\/50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 15) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3*d = 3, -13*p = -8*p + 2*d + 2. Suppose 20*h - 6*h - 138586 = p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 1\/12*g**4 + 0 - g**2 - 7\/20*g**5 - 1\/3*g**3 - 15*g. Let v be j(-1). Solve 5*u + 3*k = v, -3*k + 3 + 2 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 8530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + sqrt(1053)*-2).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -39, -10, -20, 3.\nAnswer: -39, -20, -10, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xlxbxxldbxlblxlkl. Give prob of picking 1 b and 3 x.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.12 + 0.12. Let q = 8 + -8.2. Which is the nearest to q?  (a) d  (b) 2  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 10. Let f = -15 - -12. Let l = 11.9 - 12. What is the closest to l in f, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10\/57?  (a) 5  (b) 0.3  (c) -2205  (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28.926 - 0.074. Let y = i + 22.2. Let u = y + 7. What is the third biggest value in 3, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 7*y = 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 400 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 5, -2, 0.1, -1.8 in descending order.\nAnswer: 5, 0.1, -1.8, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-66)\/(-14) + 5 + -6. Let n = -24\/7 + l. Put 1\/2, n, -1\/10 in decreasing order.\nAnswer: 1\/2, n, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = k + 2*p, 4*p + 6 = 18. Let b = -115 + 31. Let m = 99 + b. Calculate the remainder when k is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 5, -3, -282, -4 in ascending order.\nAnswer: -282, -4, -3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + z**2 + z - 1. Let j(h) = 4*h**3 - 2*h**2 + 13*h - 3. Let x(n) = -5*c(n) + j(n). Suppose 3*u = l + 3 + 2, 4*u = 4*l + 28. Give x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 74*y - 7 + y**2 - 136*y + 2 + 66*y. Let x(k) be the first derivative of -2*k**3\/3 - 3*k**2\/2 + 5*k - 5. Let i(w) = -7*c(w) - 6*x(w). Factor i(t).\nAnswer: 5*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**3\/9 - 124*w**2\/9 - 296*w\/3 - 144 = 0.\nAnswer: -54, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16412 and 49236?\nAnswer: 49236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1.1239  (b) -0.1  (c) -0.5  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4761*f**3 + 10*f - 2*f + 1411*f**3 - 8*f.\nAnswer: -3350*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 4429*g**2 + 28*g + 26. Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97097\/66 - (7\/6 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 9780 = 7299. Let y = -56981\/10 - t. What is the common denominator of y and -41\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001596712 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - d**2 + 4*d**2. Let i(k) be the second derivative of -k**4\/24 + k**2\/2 - k. Let y(l) be the first derivative of i(l). Determine v(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 5*i**2 + i - 2. Let g be q(5). Suppose -217092 + 6252 = -g*v - 3*k, -5*k = 25. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -663.51177 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 - 10*c**2 + 11*c - 20. Let y be m(9). Let i be 26*(3\/y)\/(-3). Solve 3*n - 3*g + 0 = 6, -3*n - 4*g + i = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 - -123. Let u = 68 - y. Let b = -7.89 + 8. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - m + 67 = -2, -3*m = 4*v + 59. Let i = v + 11. Is -1 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w. Let u be i(6). Suppose 3*m - 3 = -b, 3*m = -0*m - u. Let o be (-1 - 8)*(-5)\/b. Solve 9 = -o*z - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/(-8))\/(1799\/48316))\/(2\/28*-4).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 2:30 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, 96, 260, 490, 786, 1148, 1576?\nAnswer: 2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 18. Let k be y(-8). Let g be 2\/(-24)*(-400002)\/k. Let f = 3332 - g. Find the common denominator of f and 81\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 13*d + 24. Let q be m(7). Suppose -5*o - 57 = -o - 5*s, 3*s - 81 = 5*o. Is q greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 0*n - 3*n + 1 + 7*n**2 - 5*n + 75*n**3 - 76*n**3. Give q(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b + 1. Let h = -8 - -7. Let v = h - -3. Let w(j) = 6*j - 5. Calculate v*w(k) + 11*n(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/(-54)*63\/(-840)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*q = -6. Let j = q + -1. Let r = -0.885 + 0.685. Is r <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12+-272\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32855*o*y**3 - 15145*o*y + y**2 - 3*y wrt y.\nAnswer: 197130*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of -m**4\/12 - 3*m**3\/2 + 5*m**2\/2 + 2*m. What is the remainder when 24 is divided by g(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*u + u - u**2 - u**2)*(1 - 1 + 2)*(57478 - 164*u - 57478).\nAnswer: 656*u**3 + 1640*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 4*h = 48, 2*d + 4*h = 3*d + 24. Let u = 9 + d. What is the derivative of 5*m - u + 0*m - m wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5319 + 781510*o - 5319.\nAnswer: 781510*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 6 = -3*t, -t + 2 = a - 0*a. Suppose 4*i - 71 = 5*n, -t*n + i = -7*n - 51. Let g = -7 - n. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of t**7\/3360 - t**6\/1440 + 2*t**3\/3 + 3. Let q(p) be the third derivative of s(p). Suppose q(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 + 9*z + 32. Calculate the remainder when 57 is divided by u(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**4*u + 36*h**4 - 5*h**2 - 2*u wrt h.\nAnswer: 72*h*u + 864*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6.032508ug?\nAnswer: 0.000006032508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 47, 105, 151, 179, 183, 157?\n\"Answer: -q**3 + 65*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) -2  (c) -0.36176  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -112 - -116. Sort 2, 5, 3, d in descending order.\nAnswer: 5, d, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, v: 2, g: 1, d: 3}. Give prob of picking 1 b and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-2))\/(((-742)\/(-140))\/53)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6791781 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -743682 divided by -7291.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 19. Suppose -7*q - 4*r = -11*q - 56, -3*r = -q - 32. Are q and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 420485063?\nAnswer: 2309, 182107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 297.9287 from 5.\nAnswer: -292.9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of -r**6\/60 + 13*r**5\/45 - 16*r**4\/9 + 32*r**3\/9 - r**2 + 12*r. Let s(w) be the first derivative of a(w). Factor s(y).\nAnswer: -2*(y - 4)**2*(3*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -90 - -98. Suppose i*d = 888 + 104. What is the remainder when d is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.9 - 0.9. Let c = -0.3117 + -0.0883. Put t, c, 0.6 in descending order.\nAnswer: t, 0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13100 and 25500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1920276 divided by 6?\nAnswer: -320046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h - 2*b = -9*h - 295347, 0 = -h + 4*b + 59065. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*6\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let c be d(-2). Let z be 3 - c\/4*-1. Suppose -29 = -5*a + 2*s - z*s, -2*a + 5 = 3*s. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.9 - 0.9. Let w = 50.51 - 53.51. Which is the biggest value?  (a) -4\/39  (b) w  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 - 3*w - 9 + 6*w**2 + 1 - 5*w. Suppose 0 = -i + 11*i + 70. What is b(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4016, 8067, 12146, 16265, 20436?\n\"Answer: 2*o**3 + 2*o**2 + 4031*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6579*k - 157698 - 74380 = -293465 - 392564 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (15 - 7)\/(-56) + 26\/(-14). Let m be 30*108\/8*i. Let u = m + 1961. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**3 + 221061*l**4 - 220951*l**4 + 2 + l - l**3 to o*l**2 + g*l + y*l**4 + s + j*l**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13139808 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 583.\nAnswer: -4\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-68)\/104 + -6 + 52\/24*3. Sort 0, -0.4, 5, -62, c in descending order.\nAnswer: 5, 0, c, -0.4, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s**2 + s**2 + 30*s + 3*s**2 + 7*s + 182*s.\nAnswer: -s**2 + 219*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 22*x + 172. Let h be r(32). Let n be 5*(1 - h\/30*2). Is n < -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - -71. Suppose 3*v + 408 = 4*d, 2*d = d - 5*v + l. Calculate the highest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2114*m - 44 - 49 + 27 - 2113*m.\nAnswer: m - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -10b24b - -159?\nAnswer: -10b0c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 229 - 223. Suppose -5*t - 2*d + 347 = 0, -t - j*d + 7*d + 68 = 0. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**3 + 15*n**2 - 3*n + 34. Give z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 21 and -50.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s - 2*s - 4*s - 38*s**2.\nAnswer: -38*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34154, -34150, -34146, -34142, -34138?\nAnswer: -34134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) -0.4  (b) 2\/5  (c) 788  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 417104247 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 376586?\nAnswer: 2, 7, 37, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 335\/3, -5, 11.45, -103 in ascending order.\nAnswer: -103, -5, 11.45, 335\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o\/o**(-6\/11)*o**5)\/(o\/o**(2\/7)*o)**(-48))**(-42) assuming o is positive.\nAnswer: o**(-41964\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + m + 405 = f, -5*m - 411 = -f. Suppose -3*h - v - 759 = 0, -3*h + 5*v = 748 + 11. Let c = f + h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -828, -814, -784, -732, -652?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 69449.38 decades in years?\nAnswer: 694493.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -8, -2\/9, 4431, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 5*w + 3, -4*w + 0*w - 108 = -4*q. Let b = q - 16. Let s = -14 - -14. Solve -k - b + 2 = s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21906 divided by 2.\nAnswer: -10953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1202231331 (base 4) to base 5\nAnswer: -100414344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 5*g = -4*g, -20 = -5*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*y + 26 = 0, -32 = -2*k + 5*y + 1. Suppose 172 = k*f - 4*z - 0*z, -4 = 2*z. What is the greatest common factor of f and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -138, -976, -2366, -4302, -6778?\n\"Answer: x**3 - 282*x**2 + x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 821*k + 514*k - 125*k.\nAnswer: 1210*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2363.0000018034 - -2363. Round g to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(231\/44))\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4761.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1541 + 1891 = 39*u. What is the remainder when u is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7, t: 2, q: 2, p: 1, g: 1, r: 2}. Give prob of sequence qp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-3887.1.\nAnswer: -1943.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((8 - 5) + -7)\/(-2). Suppose -u*t - 4*q + 4598 = 0, -3*q + 9229 = 4*t - 6*q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 21.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*z = -129, 3*b - 397 = 7*z - 3*z. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -373696000 to the nearest 1000000.\nAnswer: -374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 1683.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-33))\/((8\/(-3))\/(-8)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 37, 0, -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 270089311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.041 * 2\nAnswer: 0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z. Let k(x) = -10*x**2 + 17 - 35 + 18. Calculate k(r(t)).\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 18 = 3*y, -4*q + 13 + 17 = 5*y. Let h be -3*(-2 - (26 + 2)). Suppose -h = d - y*d. Solve 0*l - 3*l = -s + d, -5*l = 25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163923?\nAnswer: 3, 101, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169654360?\nAnswer: 2, 5, 241, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbwblrwn. What is prob of sequence rbbn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*z - 5 = 22*z. Let f be 11866\/(-136) + z\/(-4). Let k = -85 - f. Does k = 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 50 = -2*p, -3*p = 5*q - 48 - 19. Solve 18*h + p = 10*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}