diff --git "a/data/dm_maths/full_data_1/1292_11255.jsonl" "b/data/dm_maths/full_data_1/1292_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1292_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 2, what is -101 - 10011001?\nAnswer: -10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/59 and 25\/1976028.\nAnswer: 1976028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 5*x**2 + 4*x + 6. Give p(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 4*i + 5. Let q be t(-6). Let r be (q\/(-21))\/((-2)\/(-18)). Suppose r*y = 3, -3*w + 4*w - 15 = -4*y. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110111011100 (base 2) to base 7.\nAnswer: -31200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2711 divide 472413438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2. Let m(a) be the second derivative of 0 + 0*a**2 + 0*a**3 - 17\/4*a**4 + 73*a. What is m(r(f))?\nAnswer: -204*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**37*z*z**(-4\/13) assuming z is positive.\nAnswer: z**(516\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*n - 30 = -10, 4*f = n + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 + -155.78. Let t = 18 + q. Let g = 0.08 + t. Which is the third biggest value? (a) 1\/4 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 131146752453107?\nAnswer: -131146752453112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + g - 2*g = 9, -3*g - 2 = -c. Let p(q) = -q**3 + 24*q**2 - 46*q + 48. Let y be p(22). Put 0.4, c, y in increasing order.\nAnswer: 0.4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4212?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2595*x - 9 + 3 + 1297*x + 12 - 4 + 1283*x.\nAnswer: -15*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86008765 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3 - 32*m**2 - 20*m - 1257?\nAnswer: -6*m**2 - 64*m - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + r**3 - 2*r**3)*(-7*r**2 + 3*r**2 - 5*r**2) + (-26*r**4 - 68*r**4 + 46*r**4)*(2*r - 5*r - 2*r).\nAnswer: 231*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:20 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0*n**2 + 3\/10*n**5 - n + 1\/6*n**3 + 0 - 1\/12*n**4. List the prime factors of j(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-1))\/(140\/(-70)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 7*m**2 + 5*m + 8. Let q be i(6). Suppose -3*d + 5*b = -2087, -5*d - q*b + 0*b + 3530 = 0. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 10 = 4*l + 5*z, 0 = -5*l + 2*z + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/3 - 11*v**2\/3 + 13*v - 15 = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h = -405 + 711 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*k - 5 = -101*k. Solve -5*c + 1 = k*w - 4, -17 = -w - 5*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3775 - 4?\nAnswer: -3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 3 + (80 - 64) + 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*u - 8 + 2 = 0, 4*u - 3 = -5*m. Solve 3*h + 25 = -2*h, -2*c + m*h + 19 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*t - 12*t. Let o(s) = -s**2 - 2*s**t - 3*s**3 + 6*s**3 - 5*s**3. What is the smallest common multiple of o(-2) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3005824*w + 15029115. What is i(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -18. Let j = 1.99 - 0.01. Let o = j - d. What is o rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640 divided by 164?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14568572 divided by 16.\nAnswer: -3642143\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -3. Let s(g) = 0 - 2 + 6*g - 2*g. Let r(b) = 5*b - 2. Let v(z) = z**2 + z + 1. Let h be v(-2). Calculate h*r(n) + p*s(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114611, 113903, 113193, 112481, 111767?\nAnswer: 111051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*q**2\/15 - 17672*q + 75736\/15.\nAnswer: 2*(q - 18934)*(7*q - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 859605 and 2550.\nAnswer: 8596050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - a + 11, -4*t = 2*a + 52 - 58 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-528)\/(-26691) - (-1058)\/(-43378)?\nAnswer: -1\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 242\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/(77\/(-7) - 54\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 255*p - 20140. What is s(79)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**3 + m. Let s be d(-1). Let c be (-4)\/8*0\/(-4). Suppose c*b - 2 = -x - b, -6 = 3*b. Solve 5*t + 2*j = 2*t + 4, x*j = -s*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(sqrt(117) + (sqrt(117) + -3)*-2))**2.\nAnswer: -168*sqrt(13) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + c = -19 + 4, -2*m + 3*c - 7 = 0. Suppose -m*i = -0*i. Suppose -j + 3*n = -27, i = j - 0*n + n - 27. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a. Let y be h(1). Is (y + -39)*(-5)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Let u(d) = -54*d + 4. Let r be u(l). Let t = r - -331. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23768457.\nAnswer: 3, 71, 151, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -87. Solve -s*l = 0, -l - l = -c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 11*s**2 + 3 - 3*s**2 - 9*s**3 - 7*s**2 - 2 + 4*s as l + m*s + a*s**3 + r*s**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492470569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-48))\/(9\/(-858)) and 51\/(-60)*-1 - (3 - 2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.113 - -0.271. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1434 * 0.24087\nAnswer: -345.40758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:11 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 233865 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + -3 + 5 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l + 371. Let v = l + 373. Solve -3 = r + 1, -v*r - 8 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 26 + 15 + -24 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -516*l**2 + 88096*l + 478720 = 0. What is l?\nAnswer: -680\/129, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 130*u**2\/3 - 256*u\/3.\nAnswer: -u*(u + 2)*(u + 128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20*z + 6. Let c(y) = -y + 15. Let i be c(17). Let g be a(i). Suppose -43*w + g*w = -6. Sort -1, -5, w in decreasing order.\nAnswer: -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119260\/7370*((-2)\/(-4))\/(1\/11)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5*b = -3*a + 2*a, -2*a - 3*b = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584617863 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*h + 4*c, 2*c + 6 + 12 = -3*h. Let b(z) = -3*z**3 + z**2 + 10*z + 18. Does 12 divide b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 15*v + 5*j - 18291 = 0, -15 = 5*j. Is v a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6622 + -6578. Solve -s - v = -42 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 182?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1008 and 73\/60024048.\nAnswer: 180072144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - w + 98. Let z be 0 + 3\/((-1)\/(-1)). Suppose -z*n = 3*x - 213, -3*n = -0*n - 4*x - 206. Calculate the greatest common factor of n and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 12 + (-31 - 30) + 29\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 70*k**2\/9 + 64*k\/9 + 136\/9.\nAnswer: 2*(k - 34)*(k - 2)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0597, 17.968, -1, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-89) - 2\/(-5) - (-3)\/(-30)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-120)*4)\/(159\/954)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20565749.4 hours to weeks.\nAnswer: 122415.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 0 + 2 + 0*d - 25*d**2 + 24*d**2 - 5*d**3 to p*d + s*d**3 + v + n*d**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g - 10. Determine i(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2336 is divided by 772.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*14\/(-16)*4. Let k = 401 - 399. Solve -a = -v - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1534*f**4 - 948*f**2*j**2 + 1628*f*j**2 - f*j + 8064*f + 4 wrt f.\nAnswer: -18408*f**2 - 1896*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37781 + -53979. Let r = 59802 - o. What is r rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -696, -2, -5, 14\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4382966, 4382970, 4382974, 4382978, 4382982?\nAnswer: 4382986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218, 731, 1532, 2621?\n\"Answer: 144*r**2 + 81*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220096?\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, -6, -13, -20, -27, -34?\n\"Answer: -7*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -284.97 to zero decimal places.\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -63, -89, -117, -147, -179?\n\"Answer: -m**2 - 21*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 4*h**3\/3 - 4796*h**2 + 5750404*h - 208. Solve b(x) = 0.\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o = 47*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 13*v - 54 = -3*v - 6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107, 85, 39, -37, -149?\n\"Answer: -m**3 - 6*m**2 + 3*m + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 9644496.\nAnswer: -17360092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = -4*h + 13, 0 = 4*l - 2*h + 16. Let s(k) = 31*k**2 - 11. Let o(v) be the second derivative of v**4\/2 - v**2 - 16*v. Calculate l*s(w) + 11*o(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10901, -2\/9, -4, 2, -0.24 in decreasing order.\nAnswer: 10901, 2, -2\/9, -0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668796 divided by 227.\nAnswer: -668796\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*t + 1, 8 = s + 4*t - t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 11*x**2 + x - 8. Let b be r(11). What is the closest to 3 in -14, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/27 - (-4)\/(-6). Let i = a - 2. What is the units digit of 4\/6 - 1\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-9)\/36*-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, h: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37\/961 + 1737\/4805. Solve t*f + 2\/5*f**3 - 3\/5*f**2 - 1\/10*f**4 - 1\/10 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 322*z**3 + 16*z**2 - 4*z + 621. Let p(y) = -4*y**2 + y - 1. Let a(w) = f(w) + 4*p(w). What is the derivative of a(v) wrt v?\nAnswer: 966*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-262*c**3 + 14180 - 14180)*((-3 - c + 3)*(0 - 1 + 3) + 4*c - 4*c - c - c - 1 + 1) to f + l*c + z*c**2 + i*c**4 + o*c**3 and give i.\nAnswer: 1048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(57505\/(-28)))\/(6\/10 + -1)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217580 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39567 + 39646. Solve 57*s = m*s - 110 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*m - 18*m + 55*m - 10*m to u + s*m and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9748858 and 0.0976.\nAnswer: -9748857.9024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 20 - -16) + -34\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -1, 0.4, -11 in decreasing order.\nAnswer: 122, 0.4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d**3 + 6*d + 3. Let p(x) = 5*x**3 + 0*x**3 + 0 - 2*x - 1. Suppose -3*q = 55 - 4. Give q*p(y) - 6*c(y).\nAnswer: -y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*c - 329, -80 = -2*i + c + 56. Let z = -39 + i. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-95312)\/644*((-9)\/4)\/9*(-3)\/(-3)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**4\/42 - 2*u**3\/21 - 10*u - 12. Let m(b) be the first derivative of i(b). Factor m(p).\nAnswer: 2*p*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 0.4, -5\/16, 2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7668 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h + 6*h = -47472. Which is greater: h or -1033?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84875?\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r**2 + 45*r - 20. Let g(n) = -n**2 + n + 1. Let f(h) = -10*g(h) + m(h). Determine k so that f(k) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -219003241 - -97763241. What is f rounded to the nearest one million?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 905 and 1175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**4*v + 10*m**4 - 20*m**3*v - 3*m**3 + 8*m**2*v + 579*m**2 - m*v - 31 wrt m.\nAnswer: 72*m*v + 240*m - 120*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10026.\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5501 - 5202. Is f smaller than 295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4238, 2288, 13170, 28408, 48002, 71952?\n\"Answer: 2178*r**2 - 8*r - 6408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**4\/2 + 3*o**2 + 2*o. Differentiate w(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - 96. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5 + 43*y**4\/4 + 475*y**3\/4 - 1485*y**2\/2 + 1328*y - 712 = 0.\nAnswer: -89\/12, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-72)\/6)*((-304)\/779)\/8.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-8)\/(-10) + 0)*5)\/(-1). Let y = 8\/9 - 23\/9. Sort y, 1, o.\nAnswer: o, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3. Let j(l) be the first derivative of -l**5\/60 - 8*l**3\/3 + 99*l**2\/2 + 214. Let h(o) be the second derivative of j(o). Calculate 2*h(r) - 11*k(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79414435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -68.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50 (b) -32.79 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o - 205*o + 48*o + 47*o + 49*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1056 and -83\/1056?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25169 by 29.\nAnswer: 25169\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53\/3 + -3121\/177. Find the common denominator of -77\/2 and s.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(5*sqrt(160)).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2573)\/(-5) - ((-132)\/(-20) + -6). Let r = z + -149. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1053*d**3 + 9*d**2 + 3*d + 21. Let z(h) = -1053*h**3 - 11*h**2 - 4*h - 20. Let a(c) = -4*y(c) - 3*z(c). Find the third derivative of a(k) wrt k.\nAnswer: -6318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4851 by 46.\nAnswer: 4851\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49447\/12 + 4116. Calculate the common denominator of a and -55\/896.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 3*s + 30. What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.05, 0.5, -4 in decreasing order.\nAnswer: 1, 0.5, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 3*o**3 + 1 - o**3 + 5*o**3. Let v(z) = -3*z**3 + 9*z**2 - 9*z - 15. Let c(u) = -2*j(u) - v(u). Does 2 divide c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56947.6962 rounded to the nearest 100?\nAnswer: 56900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1365\/11048 + 2\/1381. What is the closest to 2 in w, 0.03, -5, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 42. Which is the second biggest value? (a) -5 (b) 1\/8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 - 10\/(-14). Let c = -191380 - -191357. Which is bigger: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 238\/1755 + -5\/39. Let y(b) be the second derivative of 1\/90*b**5 - z*b**6 + 1\/54*b**4 + 0 + 2*b + 0*b**2 - 1\/27*b**3. Factor y(k).\nAnswer: -2*k*(k - 1)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 90. Let k(d) be the first derivative of -3*d + 7*d + 4*d - g*d**2 + 16. Differentiate k(y) wrt y.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -31*y + 9. List the prime factors of d(-4).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 67. Is h(-26) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15891*w = 15911*w - 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 0.02, 5, -2\/3, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000339634997 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -10*a - 36, 2*k = -2*k - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*-12*(-1 - 1). Factor -4*i**3 - 126 + i**3 - 27*i + 192 - k*i**2.\nAnswer: -3*(i - 1)*(i + 2)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 114*a**3 + 1. Is 10 a factor of t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*((-7)\/(-4) - 2)*2. Let q(z) = 8*z - z - n*z - 6. Determine q(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:04 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1)*3*-2.\nAnswer: -6*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125181569633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957976313?\nAnswer: 7, 19550537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 5*m**3 + 0*m**3 + 3*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 20*i - 98. Let a be r(5). Let a*f**2 - 1\/2*f - 3*f**3 - 1\/2*f**5 + 0 + 2*f**4 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -20*f**2 - 14*f + 20. Let x = -6 + -8. Let v(q) = -8 + 5*q + 7*q**2 + 0 + 1. Determine x*v(p) - 5*n(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -14. Sort -0.7, h, 0.4 in increasing order.\nAnswer: h, -0.7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b**(-5))\/((b*b**(-2\/7))\/b**3))**(-7) assuming b is positive.\nAnswer: b**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187))\/sqrt(11) - 3*(-1 + sqrt(17)).\nAnswer: -5*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9\/o**(-2\/5))\/(o**(1\/3)\/(o*o**(-1\/2))) assuming o is positive.\nAnswer: o**(287\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1137808?\nAnswer: -9\/1137808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide ((-12)\/5)\/((-194)\/(-200) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 469*u**3\/2 - 927*u**2 - 132*u - 5. What is the derivative of a(l) wrt l?\nAnswer: 1407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/12 and (-4)\/(-18)*36\/(-264).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.70602 to 2 decimal places.\nAnswer: 37.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 1216360*f + 3649035 = 0.\nAnswer: 3, 243269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -844, -2, 12, 1, 5, -66 in descending order.\nAnswer: 12, 5, 1, -1, -2, -66, -844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -50\/3. Suppose -4*m - u + 82 - 73 = 0, -5*m + 3*u + 7 = 0. Factor -2\/3*z**4 + 2\/3*z**5 - 2\/3*z**3 + d*z**m + 0 + 0*z.\nAnswer: 2*z**2*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 - 2*w. Let f(v) = -230*v. Give f(h(u)).\nAnswer: 1380*u**2 + 460*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6482302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-161)\/(-28) - (-2)\/8. Suppose 2*o = n*q + 290, o - 171 = -5*q - 0*q. List the prime factors of o.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 39*z + 208. What is the remainder when o(0) is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a**2 + 6. Let i be l(3). Suppose -5*s + 5*b - 4 + 154 = 0, 3*s - b = i. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**3\/3 + 2. Let i(x) be the second derivative of 0 + 1\/4*x**4 + 0*x**2 + 0*x**3 - 12*x. Give i(r(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0, -4, -2, -903, -122 in increasing order.\nAnswer: -903, -122, -5, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 5, n: 8}. What is prob of picking 1 t and 2 q?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 19. Suppose -1 = k*p - 11. Suppose x = 5*y + 9, 2*x - y + p*y = 4. Solve l + q + x = 4*q, 2*l = -5*q + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.6 - 98. What is the closest to -1 in -0.04, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = -n. Let a be 24\/84 - 2034\/n. Is 2 - (-3 - -5) - a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t - 25. Let q = -0.312 + 0.012. Suppose -4*i + 42 = -5*x + 13, 3*x = 3*i - 18. What is the closest to 1 in i, q, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/42*8\/(-120)*(-36)\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-15 + 8 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 37. Suppose -u = w*z - 356, -4*u - 104 = -z - 8*u. Let n = z + -38. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - 86\/(-18). Let w = y + -5. Solve 9 + w = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 1. Let s(t) = 11*t - 15. Let f(k) = -s(k) - 5*v(k). Determine f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71976 times 2\nAnswer: 143952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -126.4. What is the smallest value in 14, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((2 + sqrt(405))*4 + -3)**2*-4.\nAnswer: -104075 - 5760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfhhfhfhhfh. What is prob of sequence fhhs?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 194\/18 + 6\/27. Suppose 5*y = 4*u - 24, 4*y - 19 = -5*u + t. Solve 0 = 3*w - u*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (7 - 2))*1\/2. Which is smaller: g or 2\/129?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 11*b**2 - 4*b - 108. Let n be k(-9). Let u = -271 - n. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 9*d + 20. Let r = 154 + -154. Suppose 0 = -0*v - 5*v + 140. What is the smallest common multiple of o(r) and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495256.8114 rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 u when four letters picked without replacement from uxux?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 6252*h**2 + 370428*h - 4883760 = 0. What is h?\nAnswer: -2142, 20, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, w: 1, o: 1, x: 2, b: 1}. What is prob of picking 1 o, 1 w, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35532)\/630 - 2*(-8)\/40.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 14*j**2 + j - 12. Suppose 3*l = 5*r - 9, -2*l + r - 2 = -r. Calculate the remainder when l is divided by k(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3789313237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 526\nAnswer: -525.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, w: 2, l: 5}. Give prob of picking 1 w and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -16. Let t = -0.280669456 + 11.280669636. Let g = o - t. Round g to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 379 = 41. Let d = b - 78. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-5 + (sqrt(51)*-4)\/sqrt(3) - (-3*sqrt(51)\/sqrt(3) + 4)*6.\nAnswer: -46*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -78*n - 4. Let u(m) = m + 1. What is -a(p) - 3*u(p)?\nAnswer: 75*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n + 44. Let v be l(6). Is (148\/111)\/(v\/(-3411)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005589 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 4, t: 10, a: 1, k: 2}. What is prob of picking 1 a and 1 d?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14731 or 14730?\nAnswer: 14730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966*x + 1054*x - 2020*x - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, 1, -10716, -1\/6?\nAnswer: -10716","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 43008834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4306.938um in meters?\nAnswer: 0.004306938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214914 divided by 3.\nAnswer: 71638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 6*k + 126. Let j be g(-9). Suppose 0 = t - 4, 3*o + 164 = 4*o + 5*t. Calculate the highest common divisor of j and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 49.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 4. Let s be r(-2). Let o = -14585 + 539646\/37. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 33*j - 32*j. Suppose -2*g = 4, j = -3*f - g + 29. Let w be (0\/f)\/(-3 - 0). Solve -c - 5*d - 3 = w, 0 = c - 0*d - 4*d - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4326\/18540)\/(28\/50)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 52 - 28 = 0. Suppose -4*p - 4*k + 3656 = 0, 12*p + j*k - 3656 = 8*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - -3*(sqrt(204) + sqrt(204) + (sqrt(204)*-1 - sqrt(204))))*-2)\/(sqrt(84)\/(sqrt(28)\/(sqrt(4)*2))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.0634?\nAnswer: -0.01268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 18. Suppose 0 = 5*o - k*o. Suppose -c - 4 + 19 = o. Solve -c = -0*v + 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-25) - (-333)\/480. Let c = 111\/160 - m. What is the biggest value in -2\/11, c, 2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405755341?\nAnswer: 405755341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 - 21*c**2)*(-c + 1 - 1)*(5*c - 4*c - 3*c).\nAnswer: -42*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.2. Let p = -0.9 - -1. Let x = p - t. What is the second smallest value in 2\/5, x, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188 + -97. Let g = c - -15. Let f = g + -17. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -14 + k - k**2 + 15\/4*k**4 + 0*k**3. Let t = 12 - 11. Calculate s(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3836 + 3831. Sort 279, -0.4, t, -1\/2.\nAnswer: t, -1\/2, -0.4, 279","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**2 - 24*b - 38. Let g(w) = -13*w**2 - 48*w - 77. Let m(q) = -5*c(q) + 2*g(q). Determine r, given that m(r) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51\/1942 - -40869\/662222. Let l = 30059\/35464 - g. What is the common denominator of l and -41\/13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 5)*(-12)\/(-36). Sort -3, z, -17 in descending order.\nAnswer: z, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -9*h**6\/14 + 9*h**5\/35 + 3*h**4\/2 - 2*h**3\/7 - 15*h**2\/14 - 3*h\/7 + 7. Find y such that o(y) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108183842491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650600.\nAnswer: 2, 5, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.7295 - 5.7. Let w = -0.6516 + 0.62429. Let g = b + w. What is g rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-13)\/(-6591)). Suppose -3*f + 0*k + 103 = k, -4*f + 5*k = -t. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 32 = -2*b - 2*s, b + 5*s + 55 = 0. Let h = -15 - b. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*y + 1764. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -12.\nAnswer: 43\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6325 - 1105 = 58*z. What is the remainder when z is divided by 71?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4290763760.\nAnswer: 2, 5, 53634547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4231*k**2 - 12678*k - 36. Calculate h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/264)\/((-18)\/192*8\/246)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13028015 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 332036993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134795115 is divided by 16178?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 - 69. Let c(m) be the second derivative of 5\/12*m**4 + 0*m**2 - 5*m + 0*m**3 + 0. Give c(u(g)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246216 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931342508?\nAnswer: 2, 232835627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -15444 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*((g**(-4)*g)\/g)\/g*g**(-2\/47) assuming g is positive.\nAnswer: g**(-190\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(5)*2) - (sqrt(375)*-2 + sqrt(375) + sqrt(15)))\/(1*sqrt(240)\/sqrt(5)) + -3.\nAnswer: -3 + 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 210, 199, 184, 165, 142, 115, 84?\n\"Answer: -2*c**2 - 5*c + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1200)\/(-120) - 26) + (-23)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieeeeillii. What is prob of picking 2 i and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - -1) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, p: 2}. What is prob of picking 1 p and 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2499*i**2 + 1488*i + 2499*i**2 - i**3 as x*i**2 + l*i**3 + v + b*i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)\/(d**4*d*d*d))\/((d\/d**(-2\/9))\/(d*d\/(d\/d**(3\/2)))))\/((((d**1*d*d)\/d)\/d)**(-4)\/(d**(2\/7))**42) assuming d is positive.\nAnswer: d**(889\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from gvltr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 - 16*v**3 + 18*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(45*(-8)\/360)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -13\/12, 1602, 0.59?\nAnswer: 1602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -441, -868, -1305, -1758, -2233, -2736?\n\"Answer: -z**3 + z**2 - 423*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -38 (b) 26 (c) -0.16 (d) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p + 2. Suppose 4*n - 2*y = 20, -2*n + 35*y - 33*y + 8 = 0. Suppose -15 = p*c - n*c. Put c, -4, 4, 3 in decreasing order.\nAnswer: c, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**6 + 196966*h**4 - 432331*h**2 wrt h?\nAnswer: 840*h**3 + 4727184*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 9*d + 11. Let q be a(-9). Let o = q + -3. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 158 - 45 = 3*q, 2*q - 2*x - 66 = 0. Does 35 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3 - a + 1 + 2*a. Let u be k(-3). Differentiate -2 + 0 + u - z wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a - 29*a = 126 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.18 + 18.\nAnswer: -34.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 16 - 40. Suppose n*o = 2*o + 104. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + x + 515 = 0, 0 = -2*i + 3*x + 265. Is i less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007384 rounded to seven dps?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -1. Suppose 2*c + 2*h + 4 = 0, -7*h + l*h = 8. Let d be 2\/1 + 1 + 1. Solve 4 = d*z - 3*j + 3, c = z - j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 765*g**2 - 2360*g - 3120.\nAnswer: 5*(g - 4)*(g + 1)*(g + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35561 is divided by 741.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 7*s**2 + 2*s + 1. Suppose -f = -4*f + 5*p - 24, 2*p = -2*f. Let l be y(f). Let h be (-22)\/(5\/((-10)\/l)). Sort -4, 3, h in ascending order.\nAnswer: -4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 6. Let f(d) = d**2 - 1. Let o(m) = -2*c(m) + 11*f(m). Let q(b) = -21*b**2 + 4. Let x(t) = 4*o(t) - q(t). Let z(g) = 4*g. Determine x(z(y)).\nAnswer: 400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/1365 + 2*i**5\/65 - 4*i**4\/39 + i**2 + 5. Factor t(s).\nAnswer: -2*s*(s - 2)**2*(s + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5114 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.35 - -0.35. Let q = 1.6 + k. Let v = q + 3.4. Which is the smallest value? (a) v (b) -3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -60, 2\/17, 3.\nAnswer: -60, 2\/17, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-1)\/(-5)*2). Find the third derivative of -4*z**2 - 5*z**5 + z**5 + 3*z**c wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 2.32, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 - 3*j + 4. Let u be g(-4). Suppose -2*i - 6 + 16 = u. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 35c?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1831 - -1838. Solve t = 12*b - 53 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-156)\/273)\/((-1)\/(-21))*-8144?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - k)*(-k**2 + 3*k**2 - 4*k**2)*(0*k - 2*k + k).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296*0.3.\nAnswer: -88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2638 - 2639. Which is the second biggest value? (a) 3 (b) -1049 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y + 269 - 194. Solve 0*g - y*g = 3*m + 22, -3*g = -4*m - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 - 16 = 0, 2*c = -4*u - 42. Which is smaller: -14 or u?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-12))\/1*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -251500 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(180)*2.\nAnswer: -3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5764494 decades in millennia?\nAnswer: 0.005764494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 842, 3253, 7256, 12857, 20062, 28877?\nAnswer: 39308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -1.7 (c) 13 (d) 0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.2 (b) -13\/14 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6797046413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 + 2)*-5)\/(-14*(-11)\/(-77)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4*u + 3)*(-21 - 24*u + 21)*(-4 + 6 + 0)*(-178*u + 105*u + 151*u + 1) to the form r*u + c + p*u**3 + j*u**2 and give p.\nAnswer: 14976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.01558 (b) -4 (c) 0.8 (d) -0.5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(4 - 1)\/9. What is the greatest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/9 + 3034640*f\/3 - 30346200 = 0.\nAnswer: 30, 4551930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 23\/(-4))*(6 + -6 - 2). Which is the fourth smallest value? (a) 4 (b) 160 (c) w (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3848, 3761, 3610, 3395, 3116?\nAnswer: 2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120\/17? (a) -320 (b) 8 (c) -0.1 (d) -4 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2388146805*k - 34*k**3 + 2388146805*k.\nAnswer: -34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21704\/11 + 1970. What is the common denominator of n and -5\/731?\nAnswer: 8041","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - u = j - 20, -16 = -2*j - 2*u. Suppose o + 20 = 2*f, -6*f - j*o = -4*f. List the prime factors of 1\/(-4) + 106\/f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885865634?\nAnswer: 2, 3, 19, 23, 197, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344176701.\nAnswer: 7, 89, 2157587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 8*h + 7. Suppose 3*k + 39 = 5*o, 5*k = -0*o + 2*o - 46. Is l(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*((t*(((t*(t**(-2\/15)*t)\/t)\/t)\/t)\/t)\/t)\/t*t*t*t\/(((t\/t**3*t)\/t)\/t*t)*(t*t**(2\/5))**20 assuming t is positive.\nAnswer: t**(463\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -2c22c620?\nAnswer: -2c22c61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 429300 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5757099 is divided by 1140?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152.98*44.02.\nAnswer: 6734.1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 31. Is f not equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 39. Is s(0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 18890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -151281, -151288, -151295, -151302, -151309, -151316?\n\"Answer: -7*x - 151274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/4 - 4*v**3\/3 - v**2\/2 - v + 8. Let l be t(-4). Solve -4 - 9 = l*j + c, 4*c + 19 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {j: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/60 + 7*j**4\/12 - 3*j**3\/2 - 6*j**2 - 2*j. Give a(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.29, -4, -3, 1\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 420, 1360, 3180, 6174, 10636, 16860?\nAnswer: 25140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 5*y + 192 = 0. Let z = 112 - y. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/20)\/((a**8\/a)\/a*a))\/(a*a*a\/(a\/a**11)*a)**(-9\/2))**(-13\/6) assuming a is positive.\nAnswer: a**(-14599\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 + -1 - -6 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.26 (b) 0.07 (c) -15 (d) -22\/5 (e) -10 (f) -1\/2 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2658 = 429*z - 431*z. Let o = z + 558. What are the prime factors of o?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6679 and 7.\nAnswer: 6686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2740 and 2055?\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000136494 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 844512 and 5244.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7*s - 150 = 0. Let x be (-14)\/7 + (-4)\/(12\/s). Solve x = 2*u - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 10 = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211003214 (base 5) to base 2.\nAnswer: -11010101101110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31760196*y**2 + 30673916 wrt y?\nAnswer: -63520392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 126. Suppose -6*f = -d*f - 5640. Let t = f + 4959. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Let y(w) = w**3 - 3*w**2 - 4*w + 5. Let g be y(v). Suppose -g*f = a - 3*a + 27, 72 = 3*a + 3*f. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n + 22 - 22 + (4*n + n - n)*(-1 + 1 + 1) + n - n - 2*n + 2*n - 3*n - 4*n)*(2*n - 4*n + 4*n) in the form v*n + c + x*n**2 and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t + 4. Let k(l) = -l - 12. Let h be k(8). Let d = h + 29. Let u(o) = 3 - 13*o + 1 + 5. Determine d*g(j) - 4*u(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -90, -205, -366?\n\"Answer: -23*w**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*1\/(-3)*1. Let c(j) = -13*j + 414 + 17*j - 413. Calculate c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -5, -248, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1615863*l**3*x**3 - 118787446*l**3*x + 6*x**3 wrt x?\nAnswer: 9695178*l**3*x + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 28*u**5\/5 + 81*u**4\/8 - u**3\/6 + 228*u**2 - 3. What is the second derivative of p(s) wrt s?\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1265.2 and 0.113.\nAnswer: 142.9676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2*w - 3. Let d be f(2). Let m = 18 + -13. Suppose -u - 40 = -m*u. What is the greatest common factor of u and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344719?\nAnswer: 3, 13, 59, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 12:30 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -235, -555, -1045, -1729, -2631, -3775, -5185?\n\"Answer: -4*r**3 - 49*r**2 + r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r - 1. Let d(l) = 2*l**2 - 7*l + 5. Let o(a) = -d(a) + 3*f(a). Does 22 divide o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6568.376 years?\nAnswer: 65.68376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2711731 divided by -246521.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.025 * 0.3\nAnswer: 0.3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*q = 26, 16 = -5*r + q - 31. Let i be (15 + -35)*(r\/(-3) - 5). Calculate the highest common divisor of 720 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (212\/7950*1475)\/(((-6)\/(-2))\/(36\/(-8))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16349 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 + -156. Which is bigger: z or 6\/301?\nAnswer: 6\/301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g, -5*x - 4*g + g = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + i = 15, -1890 = -2*m + 4*i - 1914 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1872)\/126 - -16 - 212\/210\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + m = 129, -4*m - 56 = -3*o + 2*o. Suppose 2*q + o = 6*q. Suppose 0*n - 2*w - 22 = -2*n, -n + 2*w = -q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*n + 8. Suppose 62 = 5*m - 4*d, 0 = -2*m + 2*d - 6*d + 36. Let q = m + n. Solve 4 = x + g, -2 + 3 = x + q*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8728507.\nAnswer: 29, 491, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d860d (base 15) to base 12.\nAnswer: -bab771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let p(l) = -19*l + 163. What is p(b(f))?\nAnswer: -38*f**2 + 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 12, w + 5 = v + 2*w. Suppose -4*y - v = -10. Let 27*n**y + 110*n - 344 - 261 - 32*n**2 = 0. Calculate n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 8) to base 12\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 4) in base 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-90)\/20)\/(99\/(-88)). Sort 5, 3, 15, 6, b in increasing order.\nAnswer: 3, b, 5, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*f**3 - 195*f**2.\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*k - 1)*(-2*k + 3*k + k)*(1 + 0 + 2) - 2 + k**2 + 2 as z + l*k**2 + b*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = a, -2*a = r - 0 + 6. Suppose r*n - 1 = 3*j, 5*j - 2*n + 35 = -7*n. Let m be 0 - (j + 7)\/(-16). Put -4, m, 2\/13 in decreasing order.\nAnswer: m, 2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2. Let k(m) = -10*m + 180. Let t(z) = 6*z - 89. Let s(v) = 4*k(v) + 7*t(v). Determine s(j(w)).\nAnswer: 8*w**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 5) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -17441?\nAnswer: 17453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 346851 and 28152?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4764298051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2362.47481 and -0.1.\nAnswer: -236.247481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.99 and 0.15?\nAnswer: 0.1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 971634 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: Two letters picked without replacement from {n: 2, c: 3, a: 4, s: 2}. What is prob of picking 1 s and 1 a?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -82. Let j(r) = -9*r**2 + 8*r + 8. Let b(x) = 10*x**2 - 7*x - 7. Let l(n) = t*b(n) + 5*j(n). What is the tens digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(2*(-30)\/(-20))\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -30410 + 9*x + 60944 - 30432. Calculate n(-15).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1371116916*w**2 + 1328*w + 250074?\nAnswer: 2742233832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1198*-109.\nAnswer: 130582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 32*n - 1. What is b(13)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 0 - 2*s - 2 - 44*s.\nAnswer: -43*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.3 - 10. Which is the nearest to -1\/4? (a) 10 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6417221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d93e4 + 17d?\nAnswer: d9572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 2*k**2 - 2*k - 1. Let j(z) = -5*z**3 - 2*z**2 + 6*z - 4. Calculate 2*h(f) + j(f).\nAnswer: -3*f**3 + 2*f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 16*k - 55. Let b be m(9). Suppose u = s - b, 2*s - 3 = -5*u + 6. Let v(i) = -i**2 + 5*i + 16. Calculate v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3\/6 - 63*d**2 - 10583*d\/2 + 16064\/3 = 0.\nAnswer: -251, -128, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46 + -3*(8\/(-12) + 2). Let h = 75 - l. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927 is divided by 81?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z**3 + 2*z**3 - z**3)*(5 + 2*z - 5) - 6*z**4 + 2*z**4 + 2*z**4)*(0 - 2*z + 0) - z**5 + z**2 - z**2 + (2*z - 2*z + 2*z**2)*(3 - 3 + 2*z**3).\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 185*n**2 + 3220*n - 35. Let h(x) = 31*x**2 + 551*x - 6. Let p(r) = 35*h(r) - 6*l(r). Factor p(f).\nAnswer: -5*f*(5*f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4571 + (4\/(-5))\/(7 + 1380\/(-200)). Which is the second biggest value? (a) -1 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059056 is divided by 2661.\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 7 (b) -0.3 (c) 2 (d) -5 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k + 1. Let d(n) = 9*n**2. What is u(d(z))?\nAnswer: -135*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i - 5, -2*i + 2 = -4*c. Let f(v) = -v**3 + 4*v. Let j be f(c). Calculate the highest common divisor of j and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*t - 404, -3*t - d = 4*d - 268. Let n be 56\/8*(t\/(-28) - -4). Solve -16 = -4*y + n*a, 4*y + 6*a = 4*a + 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211111 (base 4) to base 12\nAnswer: -1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4 - 3 + 1 + 2*n - 3. Does 13 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:14 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98120174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxk when three letters picked without replacement from kxkkx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*n**2 + 12*b**2*n**3 - 2*b**2*n**2 + 13*b + 4*n**3 - 3*n**2 wrt b?\nAnswer: 18*b*n**2 + 24*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000435 rounded to seven decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, o: 7}. Give prob of sequence jo.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*q + 5*q = 290, -k + 137 = 3*q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2072181 times -4?\nAnswer: -0.8288724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6311456l?\nAnswer: 631.1456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/4)\/(117\/(-26))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -d09?\nAnswer: d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/2 (b) -0.08 (c) -7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**21*r)**(-1\/24)\/(r**31*r**(1\/3)*r) assuming r is positive.\nAnswer: r**(-133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019609209 rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1545, 6382, 14499, 25896?\n\"Answer: 1640*b**2 - 83*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 47*u**2 - 7719*u - 5930. Give q(165).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/13 (b) -16 (c) -2 (d) -9\/28 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 5 (b) 1 (c) -22 (d) -3\/230\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37259 + 37604 = -15*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c - 2249 = 45*c + 1078 - 5869 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*64.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104504 + -3?\nAnswer: -104510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 25. Let j be m(-4). What are the prime factors of 18\/3*1608\/j?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*d + 17, 5*r + 2 = 4*d - 25. Let c be (98\/(-6))\/r*3. Let v(f) = f**2 - 5*f - 8. Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 65 + 130 + -178?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3*6\/(-639))\/(36\/9). Let n = o + -73\/284. Let x(d) = d**2 + 6*d. Let i be x(-6). Which is the closest to i? (a) 1 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - n. Let a(i) = 5*i - 4. Suppose 0 = -v + 1 - 4. Let c(r) be the third derivative of r**4\/6 - r**3\/2 + 9*r**2. What is n*c(p) + v*a(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 - (2 - 4). Suppose 5*x - w - 65 = 0, g*x + 3*w = 11 - 2. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-141.\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 59*u**2 + 126*u + 4. Let v(w) = 177*w**2 + 376*w + 11. Let g(k) = 11*q(k) - 4*v(k). What is the second derivative of g(f) wrt f?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/3)\/((15\/(-9))\/(-1)*(-2171)\/10855).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 37*n + 165 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j**3 - 6 + 7 + j - 3*j**3. Let t be n(-1). Solve -8*a + t*a - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32130 and -0.2.\nAnswer: 6426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04762975 rounded to three dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - -3)\/2*1. Suppose -9*z = -l*z - 48. Calculate the remainder when 45 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.44773 - -70.44799. Let m = -34 + z. What is m rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = k - 74. Solve k*v = 107*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 2 (c) 0.6 (d) -0.3 (e) 62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 77.195. Let x = g - 0.003. Round x to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Let d = 1 - -4. Let v = 1 - d. Which is the closest to u? (a) 1 (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (0 - (-6)\/18)*-12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5676192 divided by -19709?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82875294 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose -r - 9*q = -4*q + 10, o*q + 6 = 2*r. Solve x + 3*x - 16 = r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 11500*j**2 + j + 12*j**3 - 11500*j**2.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/12 + i**3\/6 + i**2\/2 + 4*i. Is 10 a factor of y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -185 and 1.3?\nAnswer: 186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*b**4\/9 - 142352*b**3\/9 - 71182*b**2\/9 - 2966*b\/3.\nAnswer: 2*b*(b - 4449)*(4*b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 4*u - 24. Let l be v(7). Suppose 2*s + 0*j + j - 9 = 0, -12 = -s + 2*j. Let b = l + s. Solve -b*o = -5*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 117634 and 117627 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6394829 is divided by 236835?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 + 235 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4\/s*s)\/s*(((s**(-5)*s)\/s)\/s)\/s*s*s*(s**2*s)\/s*s*s**7)\/(s*s\/s**(-1\/5)*s\/(s*(s\/s**(-1\/3))\/s*s*s))**(-6\/23) assuming s is positive.\nAnswer: s**(916\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 - 2*p**2 - 3*p - 2. Give w(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 693819 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*v = -3 - 13, 5*x + 3*v = 20. Let s be (-7682)\/(-8) + (-1)\/x. Suppose 2*i = 2*l - s, -4*i = 8 - 4. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 12:26 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k + 7. Let x be b(-3). Let m(g) = g**3 + 20*g**2 + g + 23. Let i be m(x). Solve -4*o - 8 + 1 = -i*c, 3*o = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1160 (base 8) to base 4.\nAnswer: -21300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124.54 - 156.405. What is g rounded to one decimal place?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -773872 divided by 176\nAnswer: -4397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.91 + 50.21. What is the nearest to 11 in -5, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*l**4 + 49*l + 26*l - 42*l**4 + 20*l - 17*l**4 wrt l?\nAnswer: -1692*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -17*g**4\/4 - g**3 + 5*g**2. Let v be n(-2). What is the greatest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 585 + -382. Suppose -o = 40*u - 17163. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + d + 31 + 27 + 13 - 59.\nAnswer: 3*d + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59416476 to the power of 1\/2, to the nearest integer?\nAnswer: 7708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -545 - -545. Which is the nearest to 6? (a) y (b) 4\/3 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 1, z: 1, c: 2}. What is prob of picking 1 h and 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 100c994?\nAnswer: 100c994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00217937 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -84\/59, 2, -20 in ascending order.\nAnswer: -20, -84\/59, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10098 - -10101. Let f(s) be the second derivative of 0 + s**6 + 7\/2*s**2 + 0*s**b - 25*s + 0*s**5 + 0*s**4. Differentiate f(z) wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*k - 77*k + 4*z + 7, -15*k = 4*z - 41 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4376*q + 1 = -2*b + 4315*q, -3*b + 4*q = 97 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -902244, -902251, -902258, -902259, -902248, -902219, -902166?\nAnswer: -902083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + 0.2. Suppose 2 = m - 3. Suppose -4*b - 3*c = -16, 10*c - m*c - 24 = -4*b. What is the third smallest value in b, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1187499*o**3 + 2*o**2. Let r be u(2). Round r to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/9, -2\/19, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 5*y - 2. Let k(g) = -11*g**2 - 66*g - 6. Give k(c) - 2*u(c).\nAnswer: -5*c**2 - 56*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and -1470360.3.\nAnswer: -279368.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -19.7. What is the nearest to 2\/3 in 4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-4045.\nAnswer: 36405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/724013 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 14) in base 9?\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011 (base 2) in base 10?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjejjjjjjjjjjjjjjjj. What is prob of picking 2 j?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3675507 by 3675507.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16283 divided by -2.\nAnswer: -16283\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57405602 to the power of 1\/2, to the nearest integer?\nAnswer: 7577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:23 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose -3*q - 21 = -5*q + 5*m, -d*q - m + 27 = 0. What is the remainder when q is divided by 1\/4 - (-38)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 610*k + 35*k**2 - 609*k + 1219*k.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = c - 0*c. Let d = -29 + 34. Suppose b = 2*l - 6, 3*l - 12 - 10 = -d*b. Calculate the remainder when c is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15110 - 15099. What is the greatest common factor of o and 3773?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10305?\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 + (4 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108970.\nAnswer: 2, 5, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by -64.\nAnswer: 261\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -637 equal to -633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 18*d - 19*d - 4 + 8 to the form o*d + m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 5*l - 12 = 5*i, 3*i - 9 = -3*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*45\/(-600)*-2*7*1\/15?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1. Let i(t) = t**3 - 39*t**2 + 507*t - 39. Let b(q) = -i(q) + 6*v(q). Let c(w) be the first derivative of b(w). Factor c(n).\nAnswer: -3*(n - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*k - 438*k = -861*k - 7540 for k.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72015 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10500 + -10490. Solve 4 = -2*q - 0*q + m, -2*q = -4*m + l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -190d96 - 3?\nAnswer: -190d99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-1)*r)\/r*r)\/r**(-6)*r**(-1\/7)*r**(-1\/5))\/((r\/(r*r**5*r*r)*r)\/(r\/(r\/(r\/r**(-4)))))**(-41) assuming r is positive.\nAnswer: r**(-15517\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g + 50 + 49 - 99.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 571 - 228. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, -0.002, -1\/127?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*l + 44*l - 10. Let y(m) be the first derivative of -1\/4*m**4 - m**3 + 1\/5*m**5 + 1\/2*m**2 + l*m + 7. Factor y(d).\nAnswer: (d - 2)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 733 (base 11) to base 13\nAnswer: 52c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -2) + (-3 - -6 - 5). Solve 0 = -6*j + x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/4*87\/(-58)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93739757 to the power of 1\/2, to the nearest integer?\nAnswer: 9682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036*j**2 - 524*j**2 - 517*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477 = -5*s + 4*g, 650*s + 649*s = 1302*s - 12*g - 1371 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 131*w - 152. Let f be l(7). Let g = f + -747. Solve -g*z + 65 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 - (-1 - 12\/(-9)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5149)\/(-26) + (-299)\/7774)*(-2)\/4.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18153 bigger than 18156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 3416 = -13*c. Is c a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72994.37t?\nAnswer: 72994370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26410 by -1390.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -57. What is the highest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 7*n)*(41*n + 59*n - 3*n**3 - 147*n) - 14*n**4 + 57*n**3 - 57*n**3.\nAnswer: -26*n**4 - 188*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 25*c - 102. Give o(34).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*f**3 - 86*f**2 - 14352*f wrt f.\nAnswer: -420*f - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**2 - 5*r - 1. Let i(h) = -14*h**2 + 6*h. What is 6*c(m) + 5*i(m)?\nAnswer: 2*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.5, 100, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-28*m + 32*m - 71*m - 18*m).\nAnswer: -170*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8 = 3*g. Let k(a) = a**3 - 3*a**2 - 3*a - 4. Let u be k(g). Let n be (1 + u)\/(4\/(-20)). Let z(l) = -l**2 - 7*l - 5. Calculate z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j**2. Let a(z) = -12*z**2 - 5*z - 5. Let b(x) = 2*x**2 + x + 1. Suppose 0 = 14*n - 33 - 37. Let p(v) = n*b(v) + a(v). Determine r(p(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 + 20*q + 79. Does 45 divide h(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431775.\nAnswer: 3, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 262789 a multiple of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*o**2 - 785*o**2 + 388*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 28 = 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -390*s - 5068. Calculate c(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2924986981?\nAnswer: 7, 23, 83, 218887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.126 - 0.226. Let q = -0.3 + 0.6. Let w = -25.2 - -28.2. What is the nearest to o in q, w, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 3*z**3 + 2*z**3)*(-2*z + 3 - 3) + 2*z**4 + 6*z**4 + 7*z**4 - 4*z**4 - 2*z**4 + z**4 + z**4 - 2*z**4 + 3*z**4.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64080)\/12460*-4*-14*2\/12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:17 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + f - 1 = 0, 2*f + 76 = -x + 73 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0105 + 3.0105. Which is the second smallest value? (a) -5 (b) k (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(336)\/sqrt(7) - (0 + sqrt(48))**2).\nAnswer: -53 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12994.8 * 0.4\nAnswer: -5197.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) - 313\/(-9). Let j = 2436 + -2401. What is the greatest common divisor of j and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 217*m**2 - 98*m - 1195. Determine p(109).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 2*v**2 + 2*v - 3. Give m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -6 + 10 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiqvxbjvxvxivv. Give prob of picking 1 q, 1 v, and 1 b.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - g = 3*g - 36, -5*u = -g - 15. Let v(k) = k**2 - 3*k - 5. Let z be v(u). Which is greater: -4\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14\/t*t*t\/(t*t\/(t\/(t**(-4\/11)\/t))*t*t) assuming t is positive.\nAnswer: t**(147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:52 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 15*f**2 + f + 98*f**2.\nAnswer: 83*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p\/(p\/(p\/(((p\/p**(-1))\/p)\/p)))*p)\/(p*p*p**4*p**(-2\/13)\/p) assuming p is positive.\nAnswer: p**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 7\/4*g**4 + 19\/112*g**8 + 0*g**7 + 0*g**6 + 0*g**5 + 0*g + 0*g**3 - 4 + 4*g**2. What is the second derivative of m(l) wrt l?\nAnswer: 1140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -31*d + 7*d + 9*d - 1 + 12*d + 2*d. Let k(n) = 5*n + 4. Determine -18*g(j) - 4*k(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28351 divided by 113.\nAnswer: -28351\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 4*h + 4*b - 24, -3*b - 255 = -4*h. Is 556*(h\/16 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 4*c**2 - c**2)*(-2*c**2 + 2*c**2 + 2*c**2) - c**4 - 4*c**4 + 6*c**4 + (-2 + 1 + 2)*(-3*c**3 - 4*c**4 + 3*c**3).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 910*n**2 - 36*n + 144. Let f(h) = -2*h + 8. Give -90*f(z) + 5*g(z).\nAnswer: 4550*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**2 + u - 2. Let h be v(-1). Solve 3 - 12*w**2 - 3*w**h - 15*w - 1 - 8 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456934 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:45 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*h + 488 + 757 = 0, 2035 = -5*j + 5*h. Let z be ((-8)\/10)\/(3 + j\/135). What is the derivative of -56*r**4 - 32 - 3*r**4 + z*r**4 wrt r?\nAnswer: -164*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 75. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**7*k))\/k*(k*k**(-38)\/k*k)\/k)\/(((k\/(k*k**(-3\/19)*k*k))\/k)\/k**41) assuming k is positive.\nAnswer: k**(-41\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 4*b + 13*a, 4*b + 4*a = 0. Suppose 0 = j + 3*i + 9, 9 - 27 = -2*j + 3*i. Put b, 14, j in descending order.\nAnswer: 14, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 + 3453*s + 1728.\nAnswer: -3*(s - 576)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35702.\nAnswer: 2, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(3\/24). Suppose -10 = -f - x*f. Suppose -g + 10 = -0*g + 3*p, p = -f*g. Which is the nearest to g? (a) 0.1 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n + 58. What is the remainder when w(-19) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/57 + -179\/228. Sort 0, -0.1, w in ascending order.\nAnswer: w, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rham when four letters picked without replacement from phkpamhr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337800 (base 10) to base 9.\nAnswer: 564333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 413, 752, 1239, 1880, 2681?\nAnswer: 3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 554756 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-240)\/42)\/((-4)\/14). Let z be ((-8)\/(-40))\/((-6)\/j). What is the second biggest value in -3, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -7 - (-10 - -18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.57 and 1990.2.\nAnswer: 1134.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 984*i + 9115. Give v(-12).\nAnswer: -2693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + (-3 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*u - 3)*(-4*u - 12*u + 10*u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*k = 3, -7*t + 3*t - 5*k = 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 7 = 3*k, 2*k + 3*k + u - 11 = 0. Let b = k + 1. What are the prime factors of b - 2*(-1 + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18343405919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/15 - (-57)\/5. Let t = -2207 - -2217. Solve -t = j - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-212 - -211)*(-2)\/(-14). Sort 0.1, -714\/19, x in increasing order.\nAnswer: -714\/19, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1 + 2 - 5 + 5. Let w(f) = 2*f**2 + 6. Let c(x) = 6*b(x) - w(x). Let j(o) be the third derivative of o**5\/60 + 4*o**2. Give j(c(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -o + 320, -4*o = 3*q - 7*q - 1280. Let f be (-93)\/2*(-15)\/(150\/o). What is the highest common factor of 93 and f?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/5 - -16\/15. Let n = -560.9 + 560.5. Which is the third biggest value? (a) 2\/9 (b) n (c) -0.7 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = 0, 5*u + 22601 + 8261 = l. Suppose -36*w - l = -48*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -216. Let t = 111 - a. Put t, -3, 0 in increasing order.\nAnswer: -3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 11*t - 18 = o, 3*o = 4*t + 72. What is the common denominator of -99\/8 and t\/3 + 1150\/60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = -81. Let r = 67 + -55. What is the greatest common divisor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 847403.8 centimeters?\nAnswer: 8.474038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 + 317 + 14*p**2 - 153 + 2*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 852\/151 at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**3*z**2 + 265*u**3 - 68*u**2*z**2 + 6*u*z wrt u.\nAnswer: 12*z**2 + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-7)\/((-21)\/18). Let f be 4 + 2 - (b - 2). Solve f = h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3*-4)\/(5370\/(-1611))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 822.9743 litres?\nAnswer: 822974.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12382900 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1 - -10) + -21 + 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -70 - 2*h - 69 - 7*h**3 + 136 - 4*h**2 + 8*h**3. Let o(w) = -w**3 + w**2 + w + 1. What is -n(g) - 2*o(g)?\nAnswer: g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68012743*h**3*l + 4*h*l + 2*h - 9596610 wrt h.\nAnswer: -408076458*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 + 5*g**4\/6 + 11*g**3\/6 + 4*g**2 + 7*g. What is the units digit of i(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 51. Let n be l(16). What is the second derivative of -120*b**n + 8*b + 0 + 27*b**3 - 4 + 2 - 5*b wrt b?\nAnswer: -558*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3719.94 to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 17*d**2 - 7*d. Let r(p) = 3*p**3 + 14*p**2 - 6*p + 1. Let i(y) = -2*j(y) + 3*r(y). What is the units digit of i(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*f - 4*s, f - 3*s + 2*s - 7 = 0. Suppose 0 = -3*i - 5*o - f, -5*o + 3 = -4*o. Is -8 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -693.\nAnswer: 2\/693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51598627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q - 1. Let i be c(-3). Calculate the common denominator of 2 + -3 + (-162)\/i and (7\/70)\/((-12)\/235).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*i = 26*i + 360. Solve v = -i*v + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(220*p + 38 - 36 - 67*p) as t*p + y and give t.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 139811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34867 by 5.\nAnswer: -34867\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2*z**6\/9 - 8*z**5\/15 + z**4\/3 + 8*z**3\/9 - 2. Suppose d(p) = 0. Calculate p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7\/y*y*y)\/y*y**18*y*y\/(y\/(y\/y**(5\/3))*y)*y\/y**(6\/13))**(5\/9) assuming y is positive.\nAnswer: y**(4850\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.067, 2\/7, -15, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*l. Let z(s) = -s**3 + 2*s**2 + 5*s - 4. Let y be z(l). What is the greatest common factor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5 + 54267*m**4 + 325698*m**3 + 217158*m**2 - 325695*m - 271425 = 0.\nAnswer: -5, -1, 1, 18095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let h(l) be the first derivative of l**3\/2 + 5*l - 2. Let n(c) be the first derivative of h(c). Calculate -5*d(m) + 4*n(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 11*a**2 + 3*a + 11. Let c(x) = -x**3 + 5*x**2 + 2*x + 6. Let i(w) = -13*c(w) + 6*k(w). Find q, given that i(q) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + sqrt(2) - sqrt(2))*3 + (sqrt(2) - sqrt(50)) + 5 + 1*(sqrt(2) + sqrt(32)) + -5)**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23792189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 233986 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66.67 - -67. Let u = s + -0.03. Let y = -61 + 307\/5. What is the closest to y in 2\/3, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. What is the closest to 33 in -2\/3, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 - -180. Solve 0 = -5*m + 3*w + q*w, 0 = -m - 4*w + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 2, w: 5, e: 2, t: 2}. Give prob of picking 1 e and 2 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let d(n) = l*n - 2*n + 2*n. Let k(c) = -3*c. What is k(d(z))?\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 124222726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**4\/12 + 5*v**3\/3 - 16*v**2. What is the units digit of i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3613256113 to the power of 1\/3, to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 28 = 3*j, 4*o - 3*o = -3*j - 8. What is the third derivative of 86*g**2 - 4004*g**4 + 21*g**5 + 232*g**2 + 4004*g**o wrt g?\nAnswer: 1260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvvvvvjjjvvrjvvkvj. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 79, 75, 71, 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 81.\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y - 1. Let v(i) = -123*i - 7. Calculate -2*q(c) + v(c).\nAnswer: -113*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 272, 431, 616, 833, 1088, 1387, 1736?\nAnswer: 2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**2*x**3 + 67*u**2*x**2 - 2*u*x**3 - 3*u*x**2 + 47*u wrt u?\nAnswer: 2*x**3 + 134*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-996)\/(-16))\/(-3)*-12. Suppose 13 = 4*b + 5. Suppose 4*m = l + 2*l - 331, 3*m - b*l = -p. What is m rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 52, -96 in descending order.\nAnswer: 52, -7, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 - 2*v**2 - 2176*v - 15. Give r(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from crrcrbrbcbcccc.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*s - 5*o - 2, -s + 3*o = -14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12004000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142478556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 480 = -u - 45*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 8*n + 6. Let o be x(12). Let s = -700\/3 - o. What is the closest to -0.02 in s, -4\/5, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 30 = -0*y. Let j = y + 10. Suppose j = -2*b + 10, -v + 3*b = -5*v + 107. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 + 6*f**2 + 4*f + 31. Let s be j(9). Let n = 10230 - s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**5 + 7*d**5 - 2*d**5)*(-2 - 2 + 3) - d**5 - d**5 + 3*d**5 + (-1 + 0 - 2)*(-d**5 + 0*d**5 - d**5).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1180*t - 68. Let m be o(24). Suppose -8848 = 22*h - m. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufuuuuuuffuuuu. What is prob of picking 3 u?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2.2, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15204655 (base 9) in base 11?\nAnswer: 42a5265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = 2. Calculate the remainder when 108 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1705 = -5*v, h + 14*v - 11*v - 329 = 0. Let q = h + -339. Let b = -162 - -270. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1322*a**4 + a**3 + 593*a**2.\nAnswer: -31728*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -883*k**5 + 53*k wrt k.\nAnswer: -17660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 174?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.262 (c) 0.03135 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.087 and 4.5.\nAnswer: 4.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 268127\/31962 + -2\/47943. Find the common denominator of 29\/3488 and a.\nAnswer: 31392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.32 - -0.32. Which is smaller: -2\/19 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + -59. Suppose p - 85 = -3*k. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 174\/(-27)*(-341)\/(-92). Let n = d + 520\/23. Calculate the common denominator of n and -121\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4841003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4 + 2 + 4*i + 6*i**3 - 3*i**2 - 1 - 2. Let q(z) = 5*z**3 - 2*z**2 + 4*z - 4. Let r(y) = 4*c(y) - 5*q(y). List the prime factors of r(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20242 - -23?\nAnswer: 20305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 4\/5, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*-43*(-12065)\/49020?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 28*s**2 + 70*s + 144. Determine r(-11).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3309*o - 5 = -3330*o + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2794 - 2672 = 314*m + 11740 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-3)\/3)\/70). Suppose 0*o = -o + s. Let j be (1 + 1)*(-21)\/o. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 51, 98, 163, 246, 347, 466?\n\"Answer: 9*w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356 divided by -18.\nAnswer: 178\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 4*y. Suppose y = -2*n - p + 2*p + 8, 0 = -n - 4*p + 4. Which is the fourth biggest value? (a) 0.4 (b) -0.2 (c) n (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85710.\nAnswer: 2, 3, 5, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -850, -1022, -1208, -1414, -1646?\n\"Answer: -r**3 - r**2 - 162*r - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnlzallldddnddi. What is prob of sequence li?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z = -25. Let p = 7 + z. Suppose -3*l = 4*g - 22, -2*l = 2*l + 4*g - 24. Is p equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 4, n: 2}. Give prob of picking 1 n and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -43*q**3 + q**2 + 3*q + 62. Let n(y) = 11*y**3 - y - 15. Let h(v) = 9*n(v) + 2*t(v). Find the second derivative of h(b) wrt b.\nAnswer: 78*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -0.3 (c) -12\/7 (d) 2\/13 (e) -0.5 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -28. Let v = 37 - 61. Let d = -23.7 - v. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -6. Suppose -15*m + x*m - 20 = 0. Suppose 0 = 4*l, -5*i = 2*l + l - m. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from llliililiilll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*b - 101 = -164*b. What are the prime factors of b?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/4 + 14*s**3\/3 - 17*s**2 - 95*s. Let p be x(8). Let y = -21 - -44. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011 - -10?\nAnswer: -10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 5 = 23*i + 5*f, -2*i - f = 0. Is ((-187)\/(-34))\/(i\/(-241))*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 2, -1003, -3, -2, 4 in decreasing order.\nAnswer: 4, 2, -2, -3, -165, -1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217509, -434124, -650739?\nAnswer: -867354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1260560 and 31\/252112?\nAnswer: 1260560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31537697 is divided by 565?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88661 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 64*c**2\/5 - 442*c\/5 - 1156\/5.\nAnswer: -2*(c - 17)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 3. Let c be a(9). Suppose 3*z + 23 = 2*u, -5*z + 19 + c = 3*u. Solve 5*j = 2*q - 0*q + u, -q = -j + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*j - 2159 = 0, -222 = -2*j - 228. Is -431 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -2993\nAnswer: -34\/2993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*x = -0 - 5, -5*x + 15 = 5*p. Let c be p\/9 - (-186)\/135. Is -0.1 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201102220 + -1000?\nAnswer: 10201101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 76, 1, -5, 4, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 1 - (-1020 - -1026)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 t when four letters picked without replacement from {t: 3, d: 3, c: 1, i: 1, u: 5, x: 1}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 235515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1) + 0\/(-3) + -101. Let h = w - -100. Suppose -1\/5*r**4 + 1\/5*r**3 - 2\/5*r**5 + 0 + 0*r + h*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 939573632+-3\nAnswer: 939573629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -1.78 (c) 0.2 (d) 0.07 (e) -1\/3 (f) -1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 84873.9m?\nAnswer: 8487390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1988 (base 10) to base 3.\nAnswer: -2201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -5*s**6\/3 + 3*s**4\/4 - s**3 - 16. Let f(n) = n**3. Let c(g) = -3*f(g) + v(g). What is the third derivative of c(p) wrt p?\nAnswer: -600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 1, t: 1, w: 2, o: 1}. Give prob of picking 1 w, 1 h, and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**7\/504 - t**6\/54 + t**5\/24 + 7*t**3\/3 - 16. Let l(n) be the third derivative of k(n). Factor l(h).\nAnswer: 5*h*(h - 3)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 84976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -617 + 902. What is the remainder when z is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/53))\/w**12*w**(-2\/77)\/w**(7\/3))**(2\/11) assuming w is positive.\nAnswer: w**(-327578\/134673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -69*m**2 + 22. Let k(y) = -11*y. Give f(k(v)).\nAnswer: -8349*v**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 5. Let q = o + 17. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-4)\/8). Let p = 556\/9185 + -1\/167. Let y = p - 82\/495. Is u greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 9:46 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15))\/(2\/90*6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from okoyylkyyzooyykyxlyo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -4 + (sqrt(68) - (-1 + sqrt(68))))*-1 + ((sqrt(68)\/sqrt(4))**2 + 4 - (sqrt(17)*2 + -3))*5.\nAnswer: -12*sqrt(17) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12854783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 237.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, j: 8}. What is prob of picking 2 j and 2 y?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011854 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1932?\nAnswer: -9660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36.8 and -804683978.\nAnswer: -804684014.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -12 - (-5 - (-4 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10556766*s**3 + 1312485?\nAnswer: -31670298*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {o: 9, b: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 594 + -498. Let v = 101 - h. Which is the smallest value? (a) 4 (b) v (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a - 146. Let g be t(-30). What is the second derivative of -21*u**g + 93*u - u**3 - 153*u + 3 + 44*u**4 wrt u?\nAnswer: 276*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-2656) + 12276\/(-332)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675) + (sqrt(675) + -3)*4)**2 - ((sqrt(270) - (sqrt(270) + sqrt(270)*-2 + sqrt(270))*-6)\/sqrt(10))**2) + -5.\nAnswer: -1800*sqrt(3) + 16987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/5)*c*(c\/(c\/c**5)*c)\/c)**(4\/5)\/((c**(2\/9)*c*c)**(-1\/24))**(4\/19) assuming c is positive.\nAnswer: c**(70018\/12825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 59. Let r(i) = s - 26*i + 11 - 17. Let q be r(-2). What is the highest common divisor of 90 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -16. Let i = 29891 + -29890. Put i, v, 0 in ascending order.\nAnswer: 0, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/19 + 128*y**3\/19 + 3554*y**2\/19 - 219920*y\/19 - 1171200\/19 = 0. Calculate y.\nAnswer: -40, -5, 48, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 581625167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (0 + 1)\/((-2)\/(-82)). Let f be 1\/1*(-22)\/t. Let y = 0.256 + 4.744. What is the closest to y in -2\/11, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83219.9 millennia in centuries?\nAnswer: 832199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/60 + 3*q**3\/2 - q**2. What is the hundreds digit of g(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c*c**(1\/3))\/c)**30\/(c**(1\/6)*((c\/(c*c**(-2\/3)\/c))\/c)\/c))**4 assuming c is positive.\nAnswer: c**(842\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.038, -17, 1, -2 in decreasing order.\nAnswer: 1, -0.038, -0.3, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 186, 236, 322, 450, 626?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 55*f - 28*f + 5*f**2 - 28*f - 5 to w + b*f**2 + g*f and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a = 0. Solve a = -5*k + k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3620010 = -5*q, -o + q = -70757 - 1739241. Round o to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - 0) + 1)*-7. Suppose d*s = 3*s + 52. What is the highest common divisor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 0 - (1 - 3). Calculate the common denominator of a\/8 - (-166)\/(-8) and (-427)\/126 + 0\/(-1 + 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -43. Let y be 5 + 218 + p + -1. Suppose -3*l - 4*f + y + 371 = 0, 2*f = 5*l - 992. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18751 + 18751.0000062656. Round g to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -6*r - 47, 9*q - 14*q = r + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 218364 (base 16) to base 4\nAnswer: 20120031210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129929 and 1077460?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8\/s*s*(s\/(s\/s**13))\/s)**(2\/9) assuming s is positive.\nAnswer: s**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -490 + 5?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 2*u + 7*u. Let c(o) = -10*o. Give c(m(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -115. Suppose g = 15*o - 11*o - 8. What is the closest to o in -4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (92\/(-12))\/((-2)\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 132. Let w = t - -95. Solve -2*j = 2*j + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/50 and 49\/9690.\nAnswer: 48450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -31. What is the lowest common multiple of c and 26 + ((-128)\/(-80))\/((-1)\/5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12353.66206 rounded to the nearest one hundred?\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117167444.\nAnswer: 2, 103, 284387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307773 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - (5 + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225 = 6*g - g. Suppose 4*x = -4*p + x + 1, -2*p - 7 = 3*x. Calculate the common denominator of p\/20*g\/12 and -101\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 302318923*o**3*w**3 - 1500*o**2*w**2 + 275*o**2*w + 66*w**3 wrt o.\nAnswer: 1813913538*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21665*n + 361309 - 113522 + 47962 = -180881 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - -2291192.\nAnswer: 2291190.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from ycqwwwwwqcwy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 21*q - 21147 + 22622 = 9*q for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -427, -654?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-5890)\/(-133))\/(-5)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14*m**2 - 49*m + 22. Is 8 a factor of k(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 131750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -7 - 3. Solve -h*c - c - 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.734867 rounded to 3 decimal places?\nAnswer: -0.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 33*b. Let w(f) = -1. Let m(n) = 2*n + 2. Let j(v) = m(v) + 2*w(v). Calculate j(s(d)).\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l - 26. Let r be c(-6). Solve r*u - 7 = 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 19*s + 17. Let k be u(16). Let h = -26 - k. Suppose 3*o + 152 = 5*o + d, h*o + d = 386. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 749\/10 + -292\/5. What is the common denominator of (14\/21)\/(80\/(-78)) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*a + 1813 - 3285 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 40. Let l = j + 1. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 153698 = -0*a + h, 8*a + 4*h = 245924. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 4115. Suppose -x + 2*l = -271, 2*x - z = -x + 4*l. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 2, d: 1, l: 5, i: 1, z: 2}. What is prob of picking 1 z and 2 b?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.69 - 0.69. Let y = i - 7.0000315. Round y to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9186383 minus 0.76?\nAnswer: -9186383.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(-78)*-2 - (-4)\/3. Let u(g) be the first derivative of -3*g**2\/2 + g + 1. Calculate u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**8\/56 + i**4\/8 - 5*i**2. What is the second derivative of t(l) wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11*b**(-4\/5)\/b*((b**(-29)\/b)\/b)**(-2\/73) assuming b is positive.\nAnswer: b**(3668\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3136 and 131\/2240.\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5823*a**5 + 63*a**4 + 21*a**2 - 55274232*a?\nAnswer: -116460*a**3 + 756*a**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*l + 25160. Suppose 2*k = f + l, k + 4*f - 2012 = -435. Let d = k - 456. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(5103))*-4.\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -123. Let q = -40 - l. Calculate the remainder when 125 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50903408593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 1. Calculate the remainder when 16 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*u - 210*u = -309*u + 2373 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 22*z - 25. Let o be 18 + (-2)\/(-4)*-2 - (8 + -8). Calculate g(o).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131068 divided by -91.\nAnswer: -18724\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 12. Let z be 2\/3 + (-320)\/(-24). Calculate the remainder when w(z) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1786*o - 99. Let m(s) = -893*s + 39. Give -2*i(y) - 5*m(y).\nAnswer: 893*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {n: 2, k: 3, v: 2, j: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c + 18*c + 11*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrvbhzjbh. What is prob of picking 1 j and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 1 + -3 + -491 + 506?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -44. Suppose 4*s - 3*j + 214 = 8*s, -3*s + 4*j = -148. Which is greater: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and -38.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m**2 + 3*m. Let r(p) = 3*p**2 - 20352 + 20352. What is o(r(y))?\nAnswer: 144*y**4 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410457870 divided by 27363858.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -1) + (-4 - (5 - 7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let r = l + 0.5. Let n = -0.5 + r. Which is the closest to n? (a) -0.2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1))\/((-3)\/39). Suppose -3*k + 6 + 72 = 0. What is the greatest common divisor of k and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**2 + 2 - 3*t - 2.\nAnswer: 27*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940100 + 2*t + 940100.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 - -113. Suppose -3*o = -261 + 273. Sort 3, 5, o, b in ascending order.\nAnswer: o, 3, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -323815 > -323814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 27. Suppose -4*g = -x*g + 30. What are the prime factors of (78\/(-15))\/(g\/(-15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2603 - -2599. Put n, -3, -1 in ascending order.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 - 3.9. Let v = -7.7 - t. Put 0, -0.2, v, -1\/3 in descending order.\nAnswer: 0, -0.2, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 227.82 - 229. Let a = r + 1.1905. Round a to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-4) - (-1)\/(-4). Let d(i) = 202*i - 107*i - 93*i - 7. What is d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*r - 19 - 1, -2*p - 5*r = 22. Suppose -o - 3 = u, 5*u - 3*u + 8 = 0. Let f be 1\/o + p + 9. Let s(z) = -3*z + 2. What is s(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxq. What is prob of picking 1 x and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2 - 2 + 3 + l. Let k(c) = -3*c + 2. Let q = -2 - -4. Suppose -a = -0*a + q. Give a*k(s) - 4*u(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*m - 76, 2*m + 64 = -2*v + 3*m. Let z = -103 - -157. Let b = v + z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -2*o**3\/3 + 3*o**2\/2 + 4*o - 22. Let l(m) = 5*m**2 - 7*m - 9. Give -9*a(q) - 4*l(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -579253.8 to the nearest 100.\nAnswer: -579300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5373, -8320, -8843, -6942, -2617, 4132, 13305?\n\"Answer: 1212*h**2 - 6583*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -2643257?\nAnswer: 2643262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52948 and 2387?\nAnswer: 582428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + 3.3. Let o = y + -6. Let v = -2 - o. Put 1, v, -1 in descending order.\nAnswer: 1, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = 97 - 19. Let r = 4 + -13\/3. Let p = -3 - -2. What is the nearest to 0 in i, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1651176 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-16)*9\/450)\/(348\/1450).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 11, -1, 679, 0 in descending order.\nAnswer: 679, 11, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g + 32. Let v be w(-12). Suppose -2*x = -5*x + 3, -x - 524 = -3*p. Let l = v + p. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l - 24. Let y be -8 + (-6)\/(-9)*(0 - l). Which is the second smallest value? (a) 5 (b) 2\/7 (c) y (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:26 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**0)**(-2\/55))**(1\/39)\/(d*(d\/d**7)\/d*((d*d\/(d\/d**(-1\/7)))\/d*d*d)\/d)**38 assuming d is positive.\nAnswer: d**(2934332\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420575 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1786 and 10763.\nAnswer: 408994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = -0*b + 3*b, 0 = b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433 (base 5) in base 7?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Suppose m - r + 6467 = 0, t*m - 1877 + 14808 = 3*r. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 4650*m + 689125.\nAnswer: 5*(m - 745)*(m - 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -549 (b) 2 (c) -0.03 (d) 5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/15)*y*y**(-8)*(((y*y\/(y*y**(-7)\/y)*y)\/y)\/y)\/((y*(((y**(-3\/4)*y)\/y)\/y)\/y*y*y)\/y) assuming y is positive.\nAnswer: y**(157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 732 and -0.28.\nAnswer: -204.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rll when three letters picked without replacement from lsrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 4*y**2 + 2*y. Suppose 1356 = 148*r + 352*r - 161*r. Determine z(r).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25308 and 108243?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1675113 - 687113. Round g to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1288\/3891 + -3\/1297. Which is the closest to 2\/11? (a) 2\/13 (b) -3 (c) -1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(448))**2 - ((-1*sqrt(7))**2 + 2).\nAnswer: 48*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453 - 2*z**3 - 502 + 44 - 18*z**4 - 3*z**2 - 2*z to the form n*z + r*z**2 + f*z**4 + b*z**3 + y and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.3 - 270.3. Let v = 246.00234 + q. Round v to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -4, -147, 99 in descending order.\nAnswer: 99, 39, -4, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*h - 2*g, 11*g + 23 - 22 = -26 - 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 3*s - 5. What is the remainder when n(-3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/7)\/(o\/(o*o**(-2\/19)*o)))**43 assuming o is positive.\nAnswer: o**(215\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 + 15*u - 5. Let h be i(8). Put h, 5, 0 in increasing order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1163 - 607. What are the prime factors of x?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgfrgfggrrfgruuggr. What is prob of sequence ffrr?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u**2 - 9*u + 9*u)*(-u**2 + 5*u**2 - 3*u**2) in the form o + i*u + a*u**2 + h*u**3 + q*u**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 56*i = -5*y - 44, 11*i - 8 = -4*y + 7*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 30 = 3*n. Let w = 154 + -104. Calculate the greatest common divisor of n and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.67989 times -5?\nAnswer: -188.39945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.07646, 27, -22, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1854394126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 7, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/2381, -0.2, 3, 2 in descending order.\nAnswer: 3, 2, 17\/2381, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - 2 - (-26 - -19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -870*x**3 + 1858*x wrt x?\nAnswer: -5220*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/5764 and -23\/4.\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a hour in minutes?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 17*i**2 - 94*i + 966. Give q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -405*o**3 - 9730*o**2 - 18060*o - 440.\nAnswer: -5*(o + 2)*(o + 22)*(81*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 2. Let p(q) = -q**3 + 11*q**2 + 13*q - 14. Let m be p(12). What is the nearest to -2\/5 in -0.2, t, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.4878646\nAnswer: 2.439323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 4*u**2 + 66*u + 195. Calculate j(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -671, -1961, -4303, -8009, -13391, -20761?\nAnswer: -30431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 61.92. Let u = -11.08 - p. Let w = 11.3 + u. Sort -1\/3, w, 0.1 in ascending order.\nAnswer: -1\/3, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902 < 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -38*n + 86*n - 37*n. Let i(f) = 2*f. Determine o(i(u)).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14 = w, -3*q + 33 = 2*w + 4. Solve 3*k - w*k = -40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -23329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -1.3. Let z = g + -0.5. Let u = 9577.7 + -9578. Put 5, z, u, -1\/7 in ascending order.\nAnswer: u, -1\/7, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -34, -87, -192, -367, -630?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 8*g + 3*g - 6*g to i + o*g and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*b + b - 3879 = 0, -3879 = -3*z + 2*b. List the prime factors of z.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 2 - 5 + m**2 + 0*m**2 + 1. Let l be p(4). Find the third derivative of t - 7*t**2 + 3*t**l - 2*t + t wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 3*h - 2*s, 0*h - 352 = -4*h + 4*s. Let p = -59 + h. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + -46 + 47 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6282 by 6.\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11 + -3 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*w**3 + 219*w**3 + 697*w**2 - 697*w**2.\nAnswer: 776*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8493*j**2 + 8499*j**2 + 25*j**3 - 2*j**3 - 16992*j**2.\nAnswer: 23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 3514.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 171687*h**2\/4 - 1842255162*h + 1842298084.\nAnswer: -(h - 1)*(h + 85844)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 2, -14\/17, 162, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or -3404817.3?\nAnswer: -3404817.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c - c + 7*c)*(-3*c + 5*c - c).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 - 7) + -143 + 153.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 + 2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -624*p**4 + 476*p**3 + 192*p**2 - 36*p - 8 = 0.\nAnswer: -1\/3, -2\/13, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1263 times 1\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -713 - -1728. Suppose -2019 = -4*g - 5*y, g + r = 3*g - 3*y. What is the greatest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-18))**(-2\/35)\/(h**(-14\/3)*h*h*h**(-3\/34)) assuming h is positive.\nAnswer: h**(5959\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/105660 and -131\/52830.\nAnswer: 105660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-21) - (-44)\/(-75). Which is the nearest to 1? (a) 2\/23 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -34063 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/3 and 358\/90 - (-8)\/(-40).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/120 and 155\/792?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 4. Let d(w) = w. Let m(z) = -a(z) - 5*d(z). Let n be (-1)\/4*14*2. What is the remainder when m(n) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8291, 14951, 21615, 28283, 34955, 41631?\n\"Answer: 2*l**2 + 6654*l + 1635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*c**5*p**2 + 2739*c**3*p**3 - c**2*p**3 - 2059*c**2 + 2*c*p**3 wrt c.\nAnswer: -540*c**2*p**2 + 16434*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q - 276. Let l be u(27). Let z be (-10*1\/(-5))\/(l\/1029). What is z rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 = -0*g + 4*q, -g + 10 = -q. Suppose u = 5*s - 8, -g = 3*u - 2*s - 2*s. Let n = u + 14. Calculate the smallest common multiple of n and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zydazwjy. What is prob of sequence zd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641 + 555 = 23*h. Calculate the highest common divisor of 598 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 260 (b) -2.17 (c) -0.2 (d) 2\/3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = h - 31*v + 35*v, 5*h - 29 = v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-14192)\/1170) + (-2)\/9. Let w be 1*(18\/(-26))\/1. Let f = w - k. Calculate the common denominator of 68\/9 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066 (base 7) in base 11?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412*-28.325.\nAnswer: 11669.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1.019\nAnswer: -0.1019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let a(x) = 138*x. Give -a(s) - 115*h(s).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3876 and 9690?\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -38, -3, -50, 0, -5 in descending order.\nAnswer: 0, -3, -4, -5, -38, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/17, 176.1, 1.2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -21 + 5 - 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3321164 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8650, -34568, -77768, -138250?\nAnswer: -216014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15662250 (base 7) to base 3.\nAnswer: 2212121211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162*52\/(-3744)*16.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005711787 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1163 = 5*u + 1158. Let b be 5 - 3 - 0\/((-5)\/u). Solve 4*v - b*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*y - 3*f - 6, -5*y - 4*f = 8. Suppose 7*q = -y*q. Is (2 + (-3 - q))*-766 - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:16 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 34*s - 575. Let c be l(17). Let q be (-2)\/((-2)\/3) + -1. Let x(r) = 2*r**3 + 1 + 2*r**2 - q*r**c - 4*r + r**3. Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332475 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 50 = -142. Let u = 66 - y. Suppose -3*g - u*c + 88 = -81, 61 = g + 3*c. What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 (base 11) in base 12?\nAnswer: -35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -4, -79, 0.1?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-3))\/((7\/2)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3719015 days in hours?\nAnswer: 8.925636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:31 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.116 in 2\/5, -1\/3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l = -15*l + 69 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535, -436, -141, 446, 1421, 2880?\nAnswer: 4919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398746 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 6*f - 8*f + 2*f. Let y(i) = -i. Let j(d) be the second derivative of d**4\/6 - d**3 + 2*d. Let c(q) = -j(q) + 6*y(q). Give c(p(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4400 divided by 220\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007779 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:57 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 + 5?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*k**2 + 12*k**2 + 0*k**3 - 6*k - 2*k**3 + 13*k - 6*k to c*k + q + v*k**2 + s*k**3 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 231. Let d(n) = 45*n. Let z(w) = 143*w. Let b(g) = -22*d(g) + 7*z(g). Give b(v(j)).\nAnswer: -11*j - 2541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -1\/6*i**4 + 1\/6*i**3 - 2*i**2 - 6*i + 0. Let h(a) = 2*a**2 - a + 5. Let j be (-2990)\/(-414) - 2\/9. What is j*u(b) + 6*h(b)?\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*v = 5, -s + 0*s = v - 8. Let r(k) = 2*k - 7. Let c = -9 + 15. Let q be r(c). Solve 2*f - q = s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/69*45\/(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Suppose 5*m = -4*f - 9, -5*m + 0*f = 2*f + 7. Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66.891 and 7.941.\nAnswer: -531.181431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*u**2 - 16*u + 8*u - 7*u + 45 - 5*u**3 - 38*u**2.\nAnswer: -5*(u - 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = -9967 + 4917 + 4852 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {b: 1, w: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96, 116, 162, 246, 380, 576?\n\"Answer: 2*s**3 + s**2 + 3*s + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 1:04 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(4 - 4 - 2)*(-9 + 2 + 4)*(13*g - 108*g + 2*g) to the form y*g + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**5\/7 - 124*y**4\/7 + 892*y**3\/7 + 164*y**2 - 128*y - 1024\/7 = 0.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by 7.\nAnswer: -184\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -0.926?\nAnswer: 1.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20522459 and 3?\nAnswer: 61567377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0019 + 3.0019. What is the biggest value in 0.3, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50, 200, 474, 890, 1466, 2220, 3170?\n\"Answer: 3*u**3 + 44*u**2 - 3*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153*-0.46.\nAnswer: 70.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 29*s + 6. Calculate v(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.56992ml to litres.\nAnswer: 0.05456992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 81*d**2. Let g(q) = 12*q + q - 15*q + q. Give g(j(c)).\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a427 (base 11) in base 4?\nAnswer: -12330300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {u: 3, o: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 2*w - 11\/7*w**2 - 1\/21*w**4 + 13\/21*w**3 - 24. Factor h(r).\nAnswer: -2*(r - 1)*(2*r - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 1. Let w = -86 - -119. Let b = 47 - w. Let d(x) = 13 + 2*x**2 - 27 + b. Calculate d(t(q)).\nAnswer: 18*q**2 + 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 221437.719 to the nearest 1000.\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 12) to base 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -52*i. Let j(r) = -12*r**2 + 62*r + 45. Calculate j(k(n)).\nAnswer: -32448*n**2 - 3224*n + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -0*t - 4*t. Suppose -8 = -2*d - 3*z, 4*d + 3*z + 2 = t. Solve -y**4 + 5*y**2 + 3*y**d + y**2 - 2*y - 6*y**3 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y**2 + 0*y - 2\/3*y**3 - 1. Let q(k) = -k. What is o(q(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-6)*12\/40*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/27 + -211\/216. What is the common denominator of -95\/2 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/((-2)\/6) + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*z**2 - 3\/5*z**4 - 22\/5*z**3 + 1\/5*z**5 + 0*z + 0.\nAnswer: z**2*(z - 6)*(z - 1)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5429 is divided by 1224.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1. Let i = -189 - -190. Let d(v) = 11*v - 2. Let q(h) = 46*h - 11. Let s(z) = 9*d(z) - 2*q(z). What is i*s(j) + 5*n(j)?\nAnswer: 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*g - 2, -2*x - 5*g + 15 = -7. Let m = x - 4. Let b be -1*2 + m + (4 - 4). Solve b = 3*u + 4 + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4 - (2295\/(-555) + 0))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (467 + 488 - 948)*(0*u - u + 0*u)*(-5 + 4 - u + 0).\nAnswer: 7*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17842000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {c: 1, m: 6, x: 2, z: 2, b: 3, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3 = 4*d - 2, 2*l + 11 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9072 divided by 6?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = 3*o, -5*o + 55 = -10*o - t. Let s(f) = -110*f + 51. Is s(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, r: 6, h: 7, e: 1}. What is prob of sequence xx?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1 - (-4)\/(-3)). Suppose -4*s - 14 = -6*s. Let i(q) = 2*q - 2. Let n be i(s). Solve -f + 4*b + n = -l*f, -4*f - 2 = -3*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6443, 5357, 3547, 1013?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314 a factor of 466162242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 20*z**2 - z + 6. Determine j(20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**9\/8 - u**5\/60 - 119*u**4\/24 - 1754*u**2. Find the third derivative of g(c) wrt c.\nAnswer: -7560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d + 124 - 106 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*a*g**2 - 68*a*g - g**3 - 2*g**2 - 11*g wrt g?\nAnswer: 476*a - 6*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2338, -2339, -2340?\nAnswer: -2341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4. Let t(l) = 1 - 32*l - 33*l - 52*l - l**2 + 118*l. Let i be 3\/2*(-4)\/(-6). Let k(z) = -z. Let c be k(-2). Give c*t(w) + i*o(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-4*-4)**2 + (0 + sqrt(19))**2*-4.\nAnswer: 4788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 21*r + 52. Let i be (-1)\/(-2) - (-18)\/4. What is the remainder when i\/20 - (-998)\/8 is divided by k(-20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 22, -0.5, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mysmegmyyex. What is prob of sequence ye?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + 6*h**2 + 6 + 0*h - 4*h. Let u be k(6). Suppose 5*q + 10 = 0, 4*q - 25 = -c + 3*q. Calculate the greatest common factor of c and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/9 (b) 0.2 (c) -6 (d) 3\/14 (e) -0.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16. Let q = -0.01 - 0.59. Let a = q + l. What is a rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18944346.\nAnswer: 2, 3, 3157391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**5\/75 - 3*t**4\/10 + 913*t**2. What is r in y(r) = 0?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -100, -393, -868, -1519, -2340?\n\"Answer: k**3 - 97*k**2 - 9*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -14, -8, 2 in descending order.\nAnswer: 35, 2, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729190449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 2*w + 0*w)*(-1 + 9 - 2 + 2) in the form h + v*w and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -66 + (-2 - -1) - (5812 + -5832)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 933 - 935. Let d = 7.8 + 0.2. Which is the nearest to -0.1? (a) j (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, s: 1, h: 3, g: 3, e: 2}. Give prob of picking 1 e, 2 j, and 1 g.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20424, -16641, -12858, -9075, -5292, -1509?\nAnswer: 2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 498267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + -141. Let x(l) = -4*l + 28. Let m be x(g). Suppose s - 3*s - 14 = -4*w, 0 = -5*s - 4*w - 35. Sort -2, s, m in descending order.\nAnswer: m, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -0.46, 1469\/2?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4*z**2 + 183*s**4*z - 12*s**2*z**2 - 3*s**2*z wrt s?\nAnswer: -24*s*z**2 + 4392*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 14. Calculate the highest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9482238 and 186?\nAnswer: 293949378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3)\/(m*m*m**(-3)))\/(m**(-3\/4))**(-37))**(-13) assuming m is positive.\nAnswer: m**(4121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-62*(-306)\/107508).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2323\/(-253) + 36\/4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035923 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/(-9) + (-2)\/6. Let a(v) = v**3 - 9*v**2 - 2399*v - 10. Let q(n) = -n**3 + 10*n**2 + 2999*n + 11. Let o(y) = 5*a(y) + 4*q(y). Calculate o(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12610783*d**2 + 12610783*d**2 + 5*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -848510 at least -848510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*l - 8, -5 - 19 = -2*g - 4*l. Solve -4*d + g*j = -16, d + 11 = -3*j - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 375 + -654. Let o = 541 + c. Is o a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(-1\/2)\/c))\/(c\/(c\/c**(3\/4))))\/(c**(-2\/5)\/c**(-1\/5)))**(-36))**(-27\/5) assuming c is positive.\nAnswer: c**(9477\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 7\/5*l**5 + 0*l**4 + 1 - 8*l + 0*l**2 + 0*l**3. Differentiate m(f) wrt f.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-3)*j*j*j)\/j)\/j*j)**33*(j**3*j)**49 assuming j is positive.\nAnswer: j**427","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 - 6. Suppose -u + w = -0*w, 0 = -5*u - 4*w - 9. Let a(n) be the third derivative of n**6\/120 - n**3\/6 - 15*n**2. Give u*x(c) + 6*a(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 3, i: 1, f: 2, w: 1}. Give prob of picking 1 f, 2 y, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -2*n**7\/7 - 135*n**6\/2 + 241*n**3\/3 + 285. Find the third derivative of o(d) wrt d.\nAnswer: -240*d**3 - 24300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 0.7 (c) 0 (d) 0.5 (e) 1.68 (f) 2\/7 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3872 = -2*d + 4*w, -5*d = w - 4824. Suppose -3*p = -u - 0*u - d, -1287 = -4*p + u. Let h = p + -170. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(-32)*-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 - u - 11. Suppose -8*s - 233 + 193 = 0. Calculate the remainder when n(s) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2474201859 rounded to three decimal places?\nAnswer: -0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8\/7, 11\/36, 16652 in ascending order.\nAnswer: -8\/7, 0, 11\/36, 16652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = -3*o + 5*r, -223 = 2*o + r - 183 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*p - 8, -5*p + 4*c = -7*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 121 (b) 1\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*w**3 + 20\/9*w**2 - 8\/3*w + 0.\nAnswer: -4*w*(w - 3)*(w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50224*c**3*g + 25*c**3 + 24*c**2*g + 145488*c - 3*g wrt g?\nAnswer: 50224*c**3 + 24*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -1\/20*n**5 + 0 + 6*n**2 - n**3 + 0*n - 3\/8*n**4. Factor h(i).\nAnswer: -3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2291546.\nAnswer: 3\/2291546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/20 + 13*a**4\/12 + 41*a**3\/6 + 10*a**2 + 7946*a. Calculate d(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a0a1 (base 11) in base 14?\nAnswer: -263a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 1190, 2765, 4994?\nAnswer: 7877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-265)\/25 + 1)\/((-26)\/195) and 376?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103187750 divided by -23875.\nAnswer: -4322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 5:46 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/21)\/((-4)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 525688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-7))\/x**(5\/7)*(x**(-7\/3))**(21\/5) assuming x is positive.\nAnswer: x**(-578\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7929 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*i + 349*i = 176 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**7*j*j)))**(-18)*(j**(4\/7)*j)**(1\/7))**(-14\/5) assuming j is positive.\nAnswer: j**(17618\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, 3 in ascending order.\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -226*a + 217. Calculate o(-2).\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 + -67 + 19 + -15 + 21 + -13?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from vmvkvvvvvvkvkkvvvk?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (1 + sqrt(1216))*5 + (sqrt(1216) - (sqrt(1216) + 1 + sqrt(1216) + -2)) + 2 + (sqrt(1216) - (sqrt(1216) + 0)) + sqrt(1216) + -5)**2.\nAnswer: -121744 - 1920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 60*r - 7 - 4 as y + l*r and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 + 1516\/8. Let u(f) = 190 - 3*f - o + f. Let r(v) = 0*v + 5*v**2 + 0*v + 0*v. Calculate r(u(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-12) + (-92)\/(-8). Let q = 1 - -1. Suppose 3*a = 2*a + q. Solve -2*j - 2*j = -v + 10, -a*v + w = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30841\/8 + -3866. Suppose -787 - 561 = 5*u + 2*t, 1083 = -4*u + 3*t. Let n = u - -527\/2. What is the common denominator of n and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 85 (b) -2 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 70, -0.57, -1\/6, -1, -3, 1 in ascending order.\nAnswer: -3, -1, -0.57, -1\/6, 1, 17, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16, -1, 64, 12, -4, -11 in descending order.\nAnswer: 64, 12, 3, -1, -4, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t, -4*t + 8 = 5*v - 3*v. Suppose 11 + v = -b. Let c be (24\/(-18))\/(5\/(b\/2)). Solve -k + c*z = -9 - 0, -4*k + 3*z = -21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223888*w**6 - 1129*w**2 + 10*w + 1 wrt w?\nAnswer: 26866560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:43 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/8)\/((12\/(-2))\/2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-331 - (-39440)\/120)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/67, -0.03, -0.2, 1143 in ascending order.\nAnswer: -0.2, -0.03, 1\/67, 1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 742399373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 22*j**2 - 420*j + 1930. Determine c(9).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82780 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 18*q - 5*w = -83, -8*q + 5051 = -0*w - 3*w + 5076 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*m**2 - 27*m**2 - m**2)*(-2*m**2 + m**2 - m**2) + (m**3 + 6*m**3 + 9*m**3)*(0*m + 2*m - m) as u*m**4 + o*m + s + v*m**3 + q*m**2 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 2. Let j be n(-1). Let o be (1 - j)*(-9)\/(-6). Solve -2*q - 2*p = -8, 0 = -q - q - o*p + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 63124 = 64020. What is the highest common divisor of q and 4648?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u + 74. Give l(-29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 62 + 16. Suppose 7*w + o = 177. Let t = -15 + w. What is the smallest common multiple of t and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = -260. Calculate the highest common factor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.73*-0.2.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 225 - 117 - 117 - n. Calculate b(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3017 or 2511?\nAnswer: 3017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1289068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 96 = -z - 4*y, -y = -2*z - 183. Let p be ((-4)\/z)\/(1340\/(-25)). Let w = 13877\/9648 + p. What is the common denominator of w and -17\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -64 + (-8 - -46) + (0 - 92).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**2*o**3 + 5*j**2*o**2 + o**3 - 7*o**2 wrt o.\nAnswer: -36*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 4746514455774?\nAnswer: 4746514455773.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932950.\nAnswer: 2, 5, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15921?\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**6\/15 + 257*l**5\/10 + 405*l**2\/2 + 1412*l. What is the first derivative of r(b) wrt b?\nAnswer: -8*b**3 + 1542*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676200 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.416 + 0.41655475. Round j to five decimal places.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 21 - -1 - 66.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*k - 19676 = 605*k + 364*k + 51486 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/838005 and 151\/1340808.\nAnswer: 6704040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(5\/3) - -88 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 3, s: 6, m: 6}. What is prob of sequence rsmr?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 22*i + 9191*i**2 - 9191*i**2 + 1 to the form p*i**3 + d + a*i + b*i**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q + 36. Let r be m(7). Let s = r - -67. Let l be 10\/(-25)*-2*s\/2. Solve 4*t = -l - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.84054465 + 143.06.\nAnswer: 142.21945535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 1, l: 1, k: 1, n: 2, p: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7292 is divided by 141.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(64)\/sqrt(32)) - (5 + sqrt(17) + 2 + 5).\nAnswer: -12 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3950398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-26 - -8 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 - 8775\/37. Let s = w + 252\/185. Factor 9\/5*b**4 - 3\/5 - 9\/5*b + 3\/5*b**5 - 6\/5*b**2 + s*b**3.\nAnswer: 3*(b - 1)*(b + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 + 4.3. Let s = -0.1 - -7.1. Let f = s + -5. What is the closest to 0 in -2\/11, t, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -17*t - 17*y + 12*y, 21*y - 20*y = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -1. Let q be (-1)\/15*(-40)\/(-30). Let w = 37\/90 - q. What is the closest to -1 in 2\/7, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o - 54. Let k be x(-13). Solve 16 = -4*w, -3*w = 5*b - 2*w + k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347870 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88266 and 1878.\nAnswer: 88266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35142395 rounded to the nearest one hundred thousand?\nAnswer: -35100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2944 and 1357.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1244*v**4 - 22*v - 21?\nAnswer: -14928*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -759\/3962060 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, 1767, -5, -3, -8.\nAnswer: -8, -5, -3, -1, 1, 5, 1767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 2 + 15)*(-3*w + 4*w + 2*w)*(-1 + 0 + 3) + 5*w - w - 2*w as n + h*w and give h.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 27 - 3*v + 20*v**2 - 15*v**2 - 4*v. Let a be x(10). Let y = 398 + a. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6694*t**3*z - 1699223*t**3 - 10621*t**2*z**2 - 102*t**2 with respect to z.\nAnswer: -6694*t**3 - 21242*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.2 + 8.1. Let a = -6 - y. Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/27)\/((-20)\/75). Let p be (-1 + 1)\/(1 + -2). What is the smallest value in -0.3, -3\/2, p, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*x + 3*x - 119691. What are the prime factors of x?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*z - 2*z, 0 = -4*l - 4*z + 12. Suppose a + 4 - l = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 29 + 277 = 0. Suppose -190 = -3*k - 4*g, -35*k - g = -30*k - 311. What is the remainder when a is divided by k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -76902855.9 to the nearest 10000.\nAnswer: -76900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17 + -1 - (-6 - -4 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.25087 kilometers in nanometers?\nAnswer: 60250870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/12)\/((4050\/600)\/(12\/10)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -124. Let z = 110 - 118.4. Let h = z - -9.4. Which is the smallest value? (a) h (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:34 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 10*q**5 - 55*q**4 - 35*q**3 + 30*q**2 = 0.\nAnswer: -1, 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Suppose -5*n = 28 + i. Let d be (-4)\/n + 7\/12. Which is the closest to 2\/7? (a) d (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*o - 34 + 115. Let k(x) be the first derivative of -5 - 1\/3*x**2 + 2\/9*x**o + 0*x. Suppose k(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/120 - t**5\/15 - t**4\/12 - t**3\/3 - t**2. Is x(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 31, 1.8, 1, -1250?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14486118.\nAnswer: 2, 3, 2414353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23408 and 10058144?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2. Suppose t - 15 = -2*t. Suppose 0 = w - t*w - 12. What is q(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*y**3 - 12745*y - 89*y**3 + 56*y**3 + 12745*y + 216*y**3.\nAnswer: 317*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0*f**3 + 32*f - 5\/6*f**6 + 0*f**4 + 0 + 37\/2*f**2 + 0*f**5. Find the first derivative of u(z) wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -16. Let j = u - 7. Suppose z + 331 = j*y + 2*z, -256 = -4*y - 3*z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1495*h - 1879*h = -9600 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18.8. Let j = -0.1 + -0.1. Let r = j - f. Is -2\/7 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*o + 3414*o + 1009*o - 5445*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1179, 383, -413?\n\"Answer: -796*b + 1975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -18, -36, -50, -54?\n\"Answer: j**3 - 7*j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.3 plus 18364578?\nAnswer: 18364551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*4 + 3)**2.\nAnswer: 240*sqrt(7) + 11209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, r: 3, w: 2}. What is prob of sequence ggw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 748, -1653, -5648, -11243, -18444?\n\"Answer: -c**3 - 791*c**2 - 21*c + 1561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -5\/2, 12, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -20. Let r(y) = 8*y + y**3 - 5*y**2 - 2 + 7 - 1. What is the remainder when r(j) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 249.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 92*d + 92*d - 185*d. Let c = 1 - 2. Let k(w) = 8*w - w - w**2 - 2*w. Calculate c*k(m) - 5*t(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 185*g + 1608. What is q(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5234 + 5196 = r, -30*r - 1795 + 655 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.77 - -9.68. Let g = j + 8.7. Round g to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7883 smaller than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -105829671 times -5?\nAnswer: 529148355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -21*r - 1736. Let s(d) = 37*d + 3476. Let y(a) = -5*m(a) - 2*s(a). Find the first derivative of y(u) wrt u.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 72. What is the units digit of (3 - r\/(-4)) + (-75)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 35 - 2*w + 0*w**2 + 307\/6*w**3. Let h(g) = -2*g**2. Determine h(f(v)).\nAnswer: -188498*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -514*w**2 + 51174535 - 3538*w**3 - 51174535 wrt w.\nAnswer: -21228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(3*4\/6). Let z = -6 + s. Is 43\/z - 8\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + (sqrt(3) + 2 + 2)**2 + (sqrt(363) + -1 + 5)**2)*6.\nAnswer: 576*sqrt(3) + 2382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by -37\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2372 + 2125.6. Let y = -19.4 - l. Let w = 227.00107 - y. Round w to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 4*v + 5. Let m be t(-6). Let a = m + 16. Calculate the smallest common multiple of 5 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155 - -154 - (3 - (-7 - 73))) + 10?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 104. Suppose 2*h = 4*u + 32, -2*u = 3*h - 5*u - 54. What is the smallest common multiple of h and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 11000011?\nAnswer: 10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 3 - 12\/3 - -1. Let h = 20 - p. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -22 (c) 217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 130\/78*(-42)\/(-126)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/14264 and 47\/283497.\nAnswer: 2267976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 41712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.4009 tonnes in grams?\nAnswer: 49400900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3)*z)**(-2)\/((z\/(z*z\/(z*z\/(z*z*(z\/(z*z*z\/(z\/z**(1\/6)*z)))\/z))))\/z**(-2\/27))*(z**(3\/8)\/(z*z\/z**1))**30 assuming z is positive.\nAnswer: z**(-2411\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 34*q + 190. Suppose 5*o + 2*t + 40 = 0, -4*o + 40 = -9*o + 3*t. Let d be z(o). Which is bigger: d or -20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 24*f**2 + 7*f**3 + 4*f**4 - 2 - 2*f**4 - f**3 + 25*f**2 to r*f**3 + o*f**4 + x*f + h*f**2 + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7254 + -11077\nAnswer: -18331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 28*h**2 - 54*h + 51. Let o be y(26). Let v(l) = -33*l**3 + 8*l + 7. Let p be v(o). Which is greater: 34 or p?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381331 is divided by 62665.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8804 + -0.0264. Round l to two decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287 (base 11) to base 9.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/5 (b) -829 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*f + 6*f. Suppose 3*d + 2*b + 4906 = 0, 3*d - 3*b + 4896 = -0*d. Is 0 - d\/f - 8\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*s + 25*s - 17*s)*(1 - 1 + 2)*(-s + 4*s - 2*s).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/156 + -473\/780. What is the closest to -2\/7 in -4, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 10*s**2 - 3*s - 22 + 20 + 0*s - 2*s**2 to i*s + y*s**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34653.\nAnswer: 3, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53, 52, 43, 20, -23, -92, -193?\n\"Answer: -x**3 + 2*x**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371125 - 8.\nAnswer: -371133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * 7968\nAnswer: 16732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -682, 3, 5, 433 in increasing order.\nAnswer: -682, 3, 5, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 - 7*i**5 - i**5 + (i**2 + 0*i**2 + i**2)*(-3*i**3 + 2*i**3 + 2*i**3) - 4 + 4 - 2*i**5.\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**2*p\/p**(-1\/8)*(p**(-1\/2)\/p)**(1\/16)*((p**(-2)\/p)**(-17\/5))**(9\/8) assuming p is positive.\nAnswer: p**(2481\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-4)\/(-7))*(4 - 2). Let r be (-4 + f + -3)\/1. Let l be (0\/(-3))\/(3 - r). Solve l = -3*m + 6, m + m = -u + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 3, y: 1, m: 5, t: 1, r: 1}. What is prob of sequence ft?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330838.\nAnswer: 2, 83, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 449088 and 768.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:32 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138 is divided by 120.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5977.\nAnswer: 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 57, 103, 155, 213, 277?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19527666.\nAnswer: 2, 3, 1291, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0 - (-2)\/(-2). Let h = 13 + q. Is (-3)\/(2\/h*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 317*z + 164 - 481 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mye when three letters picked without replacement from {m: 3, d: 1, y: 1, e: 7}?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:03 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 3*u + 210. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114417 equal to -114362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 17*q**2 - 19*q + 21. Calculate the remainder when 661 is divided by l(-18).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 10, -5, -3\/8, 1.7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11118, -4, -9, 0 in descending order.\nAnswer: 11118, 4, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalnllannlnaanllnnla. What is prob of sequence aan?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2360290 and 472058.\nAnswer: 2360290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -0.2 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.15? (a) 1 (b) -5.2 (c) 1\/45 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/8 - 17 - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -1. Let c be (-3)\/(-6)*-6 - -9. Let i be (o\/c)\/((-2)\/42). Solve -i = -2*s + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihhh when four letters picked without replacement from hhhhhhhhhhihhhhhhh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16416 >= -317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-11 + 11 - 3*l)*(l - l + l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 161*q - 7. Let b(y) = -3*y**2 - 4*y + 1. Give -2*b(v) - z(v).\nAnswer: 3*v**2 - 153*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q = 120. Let u be (-3)\/(-1)*32\/q. Let g = 0 + 1. Is u < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1941*a**2 + 6783*a**2 + 4684*a**2)*(-3 + 2*a + 3) - a**3 + 0*a**3 + 3*a**3 to the form u + x*a**3 + i*a + l*a**2 and give x.\nAnswer: 26818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/3 + 2*q**3\/3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*g - 6 + 2, 2 = g - v. Let d be -3 - (-46)\/3*g. Let k = -24 - d. Solve 4*q + q - k = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 612*t**2 + 35242*t + 2149. Calculate y(665).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -787365.3241 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -5. Let n(a) be the third derivative of -a**5\/60 + a**4\/3 + a**3\/3 - 34*a**2. Calculate the smallest common multiple of 8 and n(c).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 e when four letters picked without replacement from tetttextxeeettxt?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 15. Let a be b\/8 + -3*(-5)\/30. Let s be 7\/(-14)*4 + 27\/12. What is the closest to a in -5, s, 0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 329, 2\/5, 24\/13, -29 in ascending order.\nAnswer: -29, 2\/5, 4\/7, 24\/13, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -2.8. Which is the biggest value? (a) 1\/3 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtsthstshwtsswwwt. Give prob of picking 1 t, 1 h, and 2 w.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3934, 3930, 3926, 3922, 3918?\nAnswer: 3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32878, 32882, 32888, 32896, 32906, 32918, 32932?\n\"Answer: p**2 + p + 32876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 bigger than -20.1347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 5*p - 2*p - b, -9 = -p + 5*b. Suppose -6 - 6 = -a. Let d = p + a. Let k(v) = 2*v + 5. Give k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 + 9*v**2 - 7*v**2 + (v**2 - v + v)*(-2 + 0 + 3))*(-3*v + 3*v + v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-1)\/51). Suppose 5*m + 0*u - a = -u, 5*u = -4*m + 22. Suppose -410 = -55*j + 14*j. Calculate the remainder when j is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 22 + 18 = 0. Let h be (-2 + -3)*8\/s. What is the third derivative of 22*i**2 + 6*i**h - 7*i**4 - 17*i**2 wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76789 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 + (9 - 12) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.1744637.\nAnswer: -4.1744637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*k = -401 - 18 - 101 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 16 = 0. Let u = 16 + -11. Solve r - h = 0, -20 = -4*v - u*r + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 85, 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(2\/(-6))\/1. Let m be 2 - (l - (-4)\/(-10)). Let q = -4 + 4.4. Which is the closest to m? (a) q (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3711, -7293, -10875?\nAnswer: -14457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*a - 17 = 0, -3*a - 13 = -5*k - 0*k. Suppose 0*n = -k*n - 5. Is ((-5)\/(-10))\/(n\/(-518)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724722221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 2, w: 2, a: 1, b: 1}. What is prob of picking 1 a, 1 w, and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*m**2 + 1 - 10*m - 443*m**2 + 3*m + 7*m as h*m**2 + t + u*m and give h.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - -0.05. Let k = -3 - q. Which is smaller: -2\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128517185 + 3?\nAnswer: 128517188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)*c\/((c**(1\/4)\/c)\/c)*c**(3\/10)*c*c\/(c*(c**9*c)\/c) assuming c is positive.\nAnswer: c**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*r**2 + 1 - 1)*(-20722 + 10141 + 12276) in the form y*r**2 + g*r + n and give y.\nAnswer: -11865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (2*sqrt(170)*4 - sqrt(170))) + -1*(-2*sqrt(170) - sqrt(170)) + sqrt(170) + sqrt(170))\/(sqrt(20)\/(sqrt(72)*1)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0281967 to four dps.\nAnswer: 0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 12. Determine a(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71784 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -11 - (-74 + 59). Let v(c) be the third derivative of 3*c**2 + 1\/5*c**5 + 0*c**3 + 1\/10*c**q + 2\/105*c**7 - 10 + 0*c + 1\/6*c**4. Solve v(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + 7. What is the common denominator of 16\/g + (-110)\/54 and 1\/26?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -10 - -4) + -14 + 14 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.300899845 to three dps.\nAnswer: -1.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2. Suppose 10*g - 93*g - 83 = 0. Let b(a) = 1. Determine g*d(f) + 2*b(f).\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1646578 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**41\/((f\/(f*f\/(f**(2\/15)*f))*f)\/f**(-3)) assuming f is positive.\nAnswer: f**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 6*d**3 - 3*d**3)*(0*d**2 - 20*d**2 - 39*d**2 + 0*d**2 + 4*d**2 - 3*d**2 + (4*d + 0*d - d)*(8 + 5*d - 8) + 3*d**2 - 5*d**2 + 0*d**2).\nAnswer: -90*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/72482?\nAnswer: -1\/72482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 22*k + 11. Suppose 4*d = -6 + 2, m - 3*d + 7 = 0. Let c be b(m). Suppose 0 = -4*n + c + 33. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 6*j**2 + 5*j - 7. Let p be (-24)\/((-3)\/(-3)*-1). Suppose -5*d = 224 - p. Let x be (1\/2)\/(4\/d). What is y(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417*q - 320344 - 375054 = -235864. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(sqrt(44)\/sqrt(4) - sqrt(11)))**2 + -4 + (-4 + sqrt(275)*1)**2*-5 + -1.\nAnswer: -1460 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.002, -0.5, -5, -12\/11?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 (base 10) in base 7?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 62. Suppose 0 = 15*k - 9*k. What is i(k)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 30 = -5*g, -a - 4*g - 15 = -0. Let t = a - -3. Let f(m) = -m**3 - m**2 - m + 2. What is the units digit of f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 194.88941 and -0.2?\nAnswer: 195.08941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + -175.7. Let j = g - 7.3. Let t = -5\/26 - 4\/13. What is the second biggest value in -4, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122 (base 3) in base 6?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.10682 - 0.711043\nAnswer: 2.395777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-6 + 58) - (0 + -20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/((-19)\/(-2546)) + 3?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 352223288 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 3*x - 2. Let m be p(2). Let s be (-1)\/(-5) - (m - 0). Let o = -7 - -6.8. Which is the second smallest value? (a) -0.3 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.08, -3, -314, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a. Let p(j) = 26*j**2 - 4*j - 7. Let v(k) = p(k) + 3*r(k). Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n - 17. Let r(k) = 27*k + 69. Let y(j) = 4*r(j) + 15*v(j). Find the first derivative of y(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.369 * -919.\nAnswer: 9529.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19760 (base 15) in base 7?\nAnswer: -463002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10*s - 5*f, 0 = -3*s + 5*f - 16. Let w be s\/62*(-63 - -53). Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(162)*-1 + 0)**2 + 5)*-6 + -5.\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3924 - -4026. Solve 6 = n*s - 96*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlhhllh. What is prob of picking 3 h?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 1165*q**3 + 56435*q**2 + 55275*q.\nAnswer: 5*q*(q + 1)*(q + 67)*(q + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -14*p - 2*f - 2, -4*p + 9 = 5*f. Which is the fourth biggest value? (a) 3 (b) p (c) -2\/41 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/4)\/15*48\/(-396)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**8\/784 - h**7\/245 + h**5\/70 - h**4\/56 + 12*h**2. Let r(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -292.11992 to 2 dps.\nAnswer: -292.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4*-4)\/(-2)*-471. Let i = -308 + t. What are the prime factors of i?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -474*y + 24. List the prime factors of u(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 5*d + 74. Let c = d + 57. Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**5 - 20*k**4 + 260*k**3 - 400*k**2 = 0.\nAnswer: -10, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111 - 102*z - 111 - 13*z to r + g*z and give g.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4005609 divided by 6\nAnswer: -1335203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 200. Suppose 122*d + 200 = 142*d. Suppose 32*h - d = 30*h, 5*h = -j + 35. What is the highest common divisor of u and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 1\/3*h**3 - 1\/2*h**2 + 0 - 72*h. Let t = -7 - -5. Determine m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 11. Let p(h) = 6*h + 54. Let z(s) = 16*l(s) + 3*p(s). Find the first derivative of z(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*k = -0*s + 14, 0 = -s + 5*k + 17. Let d be s\/(-3)*(-15)\/2. What is the smallest value in -3, -1\/2, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81.93 - 0.2.\nAnswer: -82.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - 48.94. Let p = -49 - n. What is the nearest to -4 in p, 2, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13*((-4)\/4 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62946*l**2\/7 + 2014276*l\/7 - 128\/7.\nAnswer: -2*(l - 32)*(31473*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 20*g**2 + 165*g + 989. Give h(-10).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5, -1, -1404 in descending order.\nAnswer: 5, 1, -1, -3, -1404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, v: 2}. Give prob of picking 2 t and 1 v.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140423479?\nAnswer: 7, 20060497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 10\/19 (b) 2 (c) -1\/4 (d) -0.1 (e) 0.1 (f) -0.041 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 30*j**2 + 38. Let k be n(-15). Factor -251*m + k*m**3 + 206*m - 54 - 12*m**2 - 39*m**3.\nAnswer: -(m + 3)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -423532385675.4.\nAnswer: -423532385669.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and 1218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**2 + l + 7. Let i(k) = -7*k**2 + k + 5. Give -7*i(s) + 5*j(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -509, -60, 1379, 3802, 7203?\n\"Answer: -i**3 + 501*i**2 - 1047*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 588 and 31605.\nAnswer: 126420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*u**2 - 5*u - 655*u**3 + 5*u + 77*u**2 + 1.\nAnswer: -655*u**3 + 7*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 53*m**3 + 31*m**2 - 49*m - 10. List the prime factors of s(5).\nAnswer: 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*s - 5 = 0, 3*w + 5*s - 7 = w. Let l = 16.49 - 0.49. Let c = l + -15.9. What is the second smallest value in 1\/2, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - c4accc?\nAnswer: -c4acca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 1\/60*h**4 + 0*h + 3*h**2 - 2\/15*h**3 + 0 + 1\/150*h**5. Factor u(p).\nAnswer: 2*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8951*z**5 - 14*z**3 - 1017481*z**2?\nAnswer: -537060*z**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.93 + 56.93. What is the biggest value in 0.1, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 956 + 551 = 0 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 779\/3610 + (-10)\/75*3. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Suppose 3*g = -4*j + 7 + a, 0 = -2*g. Suppose 0 = 2*q + 2*q + 2*r - 28, 8 = -j*r. Solve 0 = -5*o - 11 - q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*r + 9 = -143*r + 3*v, -r - v = 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guk when three letters picked without replacement from {k: 6, g: 1, u: 10}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.0129 nanograms in tonnes?\nAnswer: 0.0000000000000390129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1. Let y(q) = -2*q - 2. Let o(c) = g(c) + y(c). Suppose 5*r + 0*r = -5*p - 40, 2*p = 2*r - 4. List the prime factors of o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:37 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1695813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.686909 rounded to three dps?\nAnswer: -2.687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyy when three letters picked without replacement from {x: 3, i: 2, f: 3, y: 12}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -147, -935, -3051, -7161, -13931, -24027, -38115?\n\"Answer: -111*z**3 + 2*z**2 - 17*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-21))\/((66\/36)\/(-11))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1 - 2 + 4*l + 3. Let b(p) = 2*p + 3*p - 2*p. Give b(i(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1378 and 1368 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 3*v**3 + 4*v**3)*((-2*v - 4*v + 5*v)*(0 - 4 + 6)*(-1 + 3 + 1)*(0 + 1 - 2) + (14*v + 12 - 12)*(2 + 2 - 2)).\nAnswer: 136*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243286 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110 (base 2) in base 14?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k\/(k\/(k**(1\/4)*k))*k**(-19)*k*k\/k**(-7\/2))**(4\/5) assuming k is positive.\nAnswer: k**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u**5 + 5188*u**4 - 58404*u**3 - 129964*u**2 + 1631948*u + 840840 = 0. What is u?\nAnswer: -5, -1\/2, 6, 11, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64752623 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 9 - (-377 + 233)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*p - 5, 2*p - p - 5*j = -25. Suppose p = -6*d + 48 - 6. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/((0 - 2)\/(-2)). Let k = 23 + d. Let o = 16 - k. What is the least common multiple of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 68*m = 0. Solve 4*b + 5*f = 11, 3*b - 5*b - 2*f + 6 = m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6549?\nAnswer: 3, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 + (-18)\/(-4). Solve 2*b - l*i = -2 - 6, 0 = 2*b - 3*i + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -230 - -32204?\nAnswer: 31b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*b**3*r + b**3*w - b**2*y - 2*b*r**2*w*y - 9*r**2*y + 2*w wrt r.\nAnswer: -19*b**3 - 4*b*r*w*y - 18*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -349 * 141707.\nAnswer: -49455743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:49 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 4?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/3 + 79\/12. Let h = 316\/1057 - 2\/151. Is f less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1685*x - 13275 = -378*x + 5023 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 0.251.\nAnswer: 1.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6733\/364 + -68\/91. Calculate the common denominator of g and 107\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m**2 + 9*m. Let s(i) = -3*i**2 - 2*i. Let v(b) = 9*s(b) + 2*w(b). Suppose 0 = -4*h + 7 + 5. Let q(n) = h*n + 527 - 527. Calculate q(v(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 19. Let w be (p\/150)\/((-24)\/(-310)). Let i = w + 2\/5. Are i and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22\/7 + -579\/182. Calculate the common denominator of 149\/54 and f.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4663 - 1137 + 1169 = -101*b - 1769 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 45\/(3 - 6)) + -3. Suppose -19*h + b*h = -9540000. What is h rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-50)*1545\/8343.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 102. Let c(q) = -2*q - 185. Let v(l) = -9*a(l) - 5*c(l). Suppose -4*g - 4*s + 20 = s, 4*s - 16 = -g. Calculate v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10194344 or -10194343?\nAnswer: -10194343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/4 - 3279*t**2 - 485412*t - 18281040 = 0. What is t?\nAnswer: -4220, -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 3*f - 22*f + 2*f - 15*f.\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 35 = -2*u. Let n = 42 + u. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 5, 109, -1 in ascending order.\nAnswer: -1, 5, 42, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -370 + 1142\/3. What is s in 0 + 16\/3*s - 44\/3*s**3 - 4*s**4 - x*s**2 = 0?\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 1\/8*l**3 + 1\/48*l**4 - 1\/4*l**2 + 23*l + 0 - 3\/80*l**5 + 1\/120*l**6. Factor d(u).\nAnswer: (u - 2)*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/7)*f)**29\/(f**(-29)*f**(-15)) assuming f is positive.\nAnswer: f**(395\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, -1, 3\/5, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**3 - 6*b**2 - 6*b + 1. Let g(t) = 9*t + 83. Let f be g(-10). Let p(q) = -10*q**3 + 7*q**2 + 7*q - 1. What is f*i(v) - 6*p(v)?\nAnswer: -3*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**3 - 56*v**3 + 27*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1614 - 0.4614. Sort 22\/15, h, -1 in decreasing order.\nAnswer: 22\/15, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501239978 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93 (base 14) to base 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*t + 3*t + 66, -5*t + 225 = -4*d. Let k(o) = -o**2 + 24*o + 61. What is the remainder when t is divided by k(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 42 = -3*i. Let b = i + 7\/3. Let v = 1.7 + 0.3. What is the nearest to b in -0.5, 1\/3, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:43 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 2:38 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 195 + -191. Let f(k) = 0*k - k + a - 2. What is f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10718*q**2*s**3 - q**2*s**2 + 76*q**2 - 91*s**3 + s**2 + 8*s - 3 wrt s?\nAnswer: -64308*q**2 - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 18. Let n be ((-2)\/(-1) - g) + 7. Suppose n*u - 118 = -0*u + 2*h, 3*u + h - 121 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 26.5 (b) -0.1 (c) -191 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 60. Let g be 3 + 1 + -2 + j + 14. Does g = 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 4\/75*j**6 + 0*j**5 + 8*j - 2\/21*j**7 + 0*j**2 + 0*j**4 - 7 + 0*j**3. Let s(p) be the first derivative of t(p). Factor s(f).\nAnswer: -4*f**4*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18034612 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -29*z. Let h be 46 + 1 + 12\/(6\/2). Let w = -35 + h. Let a(v) = -w*v**2 + 24*v**2 - 10*v**2. Give a(q(s)).\nAnswer: -1682*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 34*w**2 + 110*w + 78.\nAnswer: 2*(w + 1)*(w + 3)*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-272)\/40 + 7 + (-323)\/(-360) and -75\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**(-2\/43)*w**(1\/20)*(w\/((w*w*w**(-4\/5))\/w*w))**(-13\/4) assuming w is positive.\nAnswer: w**(1181\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47732 = -4*j + 2*r, 3*j + 2*r - 35785 = 7*r. Let s be (0 + (-2)\/(-5))\/((-77)\/j). Is s equal to -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 117*y - 420 = 0. Calculate y.\nAnswer: 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 1918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0)\/((-12)\/(-17869)). Let v = 2988 - n. What is the common denominator of v and -25\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k - 16. Let m be k\/(-4)*10\/15. Solve -m = -4*u - 21, 0 = -5*c + 2*u + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 2\/13 (c) -12 (d) 1 (e) -5 (f) -807 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/9399581?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137222658?\nAnswer: 2, 3, 7623481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3478)\/(-423) + 9 + -17)*-4.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((2 + sqrt(684) + sqrt(684))*3)**2 - sqrt(684)))*2.\nAnswer: 852*sqrt(19) + 49318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/21 - 330*a**2\/7 - 5300*a\/21 + 50000\/7 = 0. Calculate a.\nAnswer: -15, 10, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - (-3 + 4 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*q**2 - 2*q + 3*q**4 + 1 + 2*q**3 + 33*q**2 + 38*q**2 to the form w + c*q**3 + s*q**4 + p*q**2 + t*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -10031844.\nAnswer: -1\/10031844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 110. Determine z(33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13*(67 - (-1452)\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {z: 2, p: 3, e: 10}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 - 15. Let l = 6.3 + u. Let h = l + 4.299885. What is h rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175\/22 - -96\/55. Let x be (35\/(-63))\/(17\/(-30)). Let f = x + -94\/119. Find the common denominator of f and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06731 - -0.06673752. Round z to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 9*b**2 + 6. Let p be ((-9)\/(-5))\/((-1)\/5). Let z be (p - -6) + 2*6. Let s be m(z). What is the greatest common factor of s and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/35)\/h)\/h)\/((h*h*h\/((h\/(h*h\/(h\/h**(-2\/23))))\/h)*h*h)\/h))**(-3\/8) assuming h is positive.\nAnswer: h**(16833\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -5*d. Let g = 39 + -39. Let s = d + g. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 116*l**2\/3 + 334*l\/3 - 220\/3.\nAnswer: 2*(l - 55)*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 8 - 2*m + 3 + 2 to h*m + v and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in -0.3, -0.2, -2.3, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (313\/939)\/(((-8)\/72)\/(4\/228))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msrha. Give prob of picking 1 m and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - 41*w**2 - 14*w - 69. What is the remainder when s(21) is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4883.694nm?\nAnswer: 0.000000004883694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76\/11 + 7. Which is the nearest to 0.2? (a) r (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 + -112. Suppose -4*h - 4*g = -52, 0*h + q*g = -h + 23. Is 23976\/h - 4\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26414*x**2 + 38379536*x - 8718 = 0.\nAnswer: -1453, 3\/13207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-4)\/(-3))\/((-9)\/9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -31, -0.2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212\/4*(5\/(-3) - (-462)\/252)*6?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*l*u**5 + 21*l*u**2 + 6*l*u - l - 8*u**5 - u - 3231 wrt u.\nAnswer: 360*l*u**3 + 42*l - 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 4.6 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*r**2 + 988*r**2 - 140*r**2.\nAnswer: 1095*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.50000143 + -0.5. What is b rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -3\/5 (b) 1 (c) 0.049 (d) -28 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 - 40*j - 1.\nAnswer: -40*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4563262 rounded to two decimal places?\nAnswer: 5.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o + 125. Let a be d(12). Let r = 17 - 11. Let g(y) = 7*y - 13 - r*y**2 - 3*y**3 + 2*y**3 + 20. Calculate g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 55, 30\/13, -1\/2, -0.15, 8 in ascending order.\nAnswer: -1\/2, -0.15, 2, 30\/13, 8, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465071312?\nAnswer: 2, 17, 257, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1\/8, 107455 in descending order.\nAnswer: 107455, 1\/8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, j: 4, d: 1}. Give prob of sequence jjjd.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.231? (a) 1\/8 (b) -2\/9 (c) 0.02 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*u = -10, -c + 53*c - 4*u = -16*c + 340 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57529, 57772, 58019, 58276, 58549, 58844, 59167?\n\"Answer: t**3 - 4*t**2 + 248*t + 57284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39105 - 2072501\/53. Let w = d + 31\/106. Let h = -5 + 10. Which is the closest to -8? (a) h (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1511 (base 8) to base 5.\nAnswer: 11331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -2*s, 0 = -3*s + s + 4*j + 8. Let g = 41 - 124\/3. Which is the smallest value? (a) g (b) 4\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11555 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65430571*o**5 - 66225718*o**2 wrt o.\nAnswer: 3925834260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Rearrange -44*v**2 - 5*v**2 + 7*v**2 - 16*v**2 to k + f*v**2 + u*v and give f.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 11:17 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 - 9*r + 14. Let a be k(8). Is 133018\/14 + (-13)\/(273\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-7 + (8 - -3) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, l: 9, e: 2, t: 2}. Give prob of picking 1 e, 1 l, and 2 t.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 53*k + 133. What is the remainder when q(0) is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -50. Suppose x - 1 = 2. Solve 3 = -i*h - x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52976 and 546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3812, 7625, 11438, 15251, 19064, 22877?\nAnswer: 26690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + z)*(2 - 5 + 2)*(-1805 - 1689 + 3913).\nAnswer: -1257*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-27))\/((-4)\/15). Suppose f*a + 4 = a. Let h be 1565000\/(3\/(-6)*a). Round h to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 34*a**2 - 46*a + 897. Calculate the remainder when u(26) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 4*d - 5. Suppose 4*c + 8*c = -12. Let p be 9 + c + 15 + -19. Let s be (1*(2 - p))\/(1\/(-2)). Determine y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 320, 481?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 134320*a - 1208556.\nAnswer: -4*(a - 33571)*(a - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/3, -0.02, -4175, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30661122 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1484 + 4?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6\/5 (b) -281 (c) -0.68 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, g: 11}. Give prob of sequence gxxg.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllvlllvlllvl. Give prob of picking 2 l.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.93251925 rounded to two decimal places?\nAnswer: 6.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:29 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42566194126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -335*k - 16. Let z(u) = -167*u - 10. What is -3*q(h) + 5*z(h)?\nAnswer: 170*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*o - 20 = 2*o, -4 = -2*i + o. Let p be (2 + -1)*(-1 + i). Is p + (3 - 0) + 109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-72)\/(-33) - 280\/(-88). What is the closest to -2\/7 in -0.1, 0.4, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.018 in -3, 0.1, 3, 0.5, 18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**3 - 2*k**2 + 26*k + 28. Give z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28512 (b) 5 (c) -18 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 1, b: 3, q: 1}. Give prob of sequence xq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:43 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00807 from -0.060355949.\nAnswer: -0.052285949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 1020 = -22*d. List the prime factors of d.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2935*t - 40. What is the units digit of f(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 644 + -628. Solve 403*m - 399*m - s = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s - 0 - 30. Let z = 0.3 - 0.1. What is the closest to z in -5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 195 = 4*n, 251211 = -n + 6*c + 251155 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/(2\/10). Let y be ((-3)\/2)\/(3\/b). Let p be y\/(-3) - (-11)\/(-3). Sort p, 0, 2 in descending order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 4*y, 4*y = -3*v + 3*y + 5. Let o be -1*1 + (v - 8). Let h be ((-3)\/(-2))\/(o\/(-24)). Solve -k = h*k - m - 14, -2*k + 8 = -m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0*h + 0 + 0*h**3 + 1\/24*h**4 + h**2. Let v(i) = 2*i**2. Give v(m(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2\/15 (b) 0.79 (c) -7 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -330\/1142027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105887*u**2 - 105887*u**2 - 2*u + 31044*u**3.\nAnswer: 31044*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2802 + -2816. Which is the third smallest value? (a) 2\/9 (b) n (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-21)\/28 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 2 - -2 - -1. Suppose -x - 7 = -3*i, 3*x - 2*i = t*x - 4. Solve -3*v - 32 = -5*n, -2*n = x*v - 0*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 70. What are the prime factors of m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 287 + -402. Let b be (-6)\/10 + v\/(-25). Solve b = -5*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 7\/2*z**3 - 6*z - 3\/2*z**4 + 12*z**2 - 8 = 0?\nAnswer: -2, -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4 + 45598*j**3 + 518561797*j**2 - 28102138596*j + 379828155204 = 0. Calculate j.\nAnswer: -22826, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 8, k: 6}. Give prob of picking 1 u and 1 k.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110110110 (base 2) to base 15.\nAnswer: -8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17215828 or -17215821?\nAnswer: -17215828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-105)*(22 + -91).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79694901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 = -d, 0 = 2*d + 3*x + 3 + 5. Let o(h) = 3 + 3*h - 3 - h**d - 6 + 3. Suppose 0 = 4*y - 3*z - 21, -47*y + 44*y + 3*z = -15. Determine o(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119081386 is divided by 38852.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/(13*(-25)\/325).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-385)\/10 - 1\/1. Let p = -1033\/26 - u. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 - 266. Solve i*w = -2*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 7:38 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i**3 + 1385820*i**2 - 5543580*i + 5543680 = 0. Calculate i.\nAnswer: -277184\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.9. What is the nearest to j in -1\/5, -3, -7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -5. Suppose 2*a + 58 = 3*a - 5*l, -o*a = 2*l - 106. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 18*y**2 + 16*y - 10. Let q be i(-7). Let b = q + 454. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 29 = 35. Suppose 0 = -v*b + 37 - 13. Solve 2*p = 5*g + b*p + 15, -4*g - 21 = -p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262.21 + -262. Which is greater: i or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60657283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.859033 rounded to 1 decimal place?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*m + 225*m - 1448*m = -318104 for m.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 7*p + 11*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 + 1271066?\nAnswer: 1271331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -17781690 to the nearest 10000.\nAnswer: -17780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 215 times 119\nAnswer: 25585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -25*s**3\/3 + 3*s + 57. Let a(p) = -48*p**2 + 5. Let d(m) = -4*a(m) + 7*z(m). Let g(q) = -3*q**2. Calculate g(d(w)).\nAnswer: -867*w**4 - 102*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -108\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/3 + 193*h**4\/3 - 232*h**3 + 404*h**2\/3 + 400*h\/3 = 0.\nAnswer: -100, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/57590 and -29\/374.\nAnswer: 10769330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ookkcczy. Give prob of sequence kkyo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z)\/(z*z*z*z**(4\/5)*z) assuming z is positive.\nAnswer: z**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.872929 nanoseconds in days?\nAnswer: 0.0000000000001026959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -418420 to the nearest 1000.\nAnswer: -418000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - (-345)\/18) + -7. Let l = -2.02 + 2. Which is the closest to -2\/9? (a) 1 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 44\/(-8)) + (-2)\/(-4). Let k(p) = 5*p + 1 + 6*p + 83*p**a - 10*p. Is k(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1557773988 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3647817 at least as big as 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*z + 5*g, 0 = 5*z - 0*z + 2*g + 11. Let c(y) = 5*y + 12. Let p(k) = 4*k + 11. Let x(i) = z*c(i) + 4*p(i). Calculate x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3509168 times 0.4\nAnswer: -1403667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(27)*3 - (-4 + -1 + sqrt(3)))).\nAnswer: -16*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 964631464*p**5 + 4*p**2 + 4857351?\nAnswer: 57877887840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/261 and 4\/29.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 2*l**2 + 4*l**2 - 24*l**2 + 2*l**2 + 8*l**2.\nAnswer: -8*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -576 + 678. What is the highest common factor of t and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekzchhzcbbzeezb. What is prob of picking 1 h, 1 c, and 1 e?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3355 divided by 3?\nAnswer: -3355\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -704 - -393. Let a = s - -307. What is the biggest value in a, 5, -1.45?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 10*d**3 - 5*d + 7*d**3.\nAnswer: -3*d**3 - 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a1 (base 11) to base 5.\nAnswer: 24210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3*u + 1444*p**3 + 76609*p**2*u + p**2 + 5*p*u + p + 709 with respect to u.\nAnswer: 2*p**3 + 76609*p**2 + 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61452 and 86488.\nAnswer: 2335176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/152645 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f + 16*f**3 + 17*f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (58 - (-43 - -133)) + -12\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (10 + -4) - (-19 - 42)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 52358?\nAnswer: -52361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 913946*c**2 - 2*c. Let x(m) = 36*m**2. Calculate o(x(b)).\nAnswer: 1184474016*b**4 - 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -292021, -584032, -876033, -1168024, -1460005?\n\"Answer: 5*o**2 - 292026*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/1)\/4)\/(9\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*k**2 + 27\/2 + 1\/2*k**3 + 27\/2*k.\nAnswer: (k + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {f: 1, r: 8, t: 1, u: 2, h: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffnfffnnunf.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2. Let y(b) = 65604*b**2. What is t(y(j))?\nAnswer: -8607769632*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 76220?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let i(n) be the second derivative of 7*n**4\/3 - 17*n. Give i(c(w)).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1768.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 474308, 2, -2.\nAnswer: -2, 0, 2, 474308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 1.2 (b) 1\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126123 is divided by 584?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -1\/78 (c) -509 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.052, -3, -1\/26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 4*y + 165 + 35 + y.\nAnswer: -5*y + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 24*j = -19*j - 35, k - 2*j = -8. What is the highest common divisor of 986 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9856 and 51056.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 15?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132827.7 - 132829.7000025. Let v = z + 2. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*x - 12. Suppose 3*l - t - 21 = 0, 0 = -l + 4*t - 0*t + x. Solve 5*s = 8 + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 608, 1232, 1844, 2438, 3008, 3548?\n\"Answer: -y**3 + 631*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 4 - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(15\/(-4)))\/((-16524)\/1530)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -11*z**5\/5 + 8*z**4 - z**3\/3 - 876*z + 912. What is the third derivative of a(w) wrt w?\nAnswer: -264*w + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 19*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2140 - 3?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1897 less than 207?\nAnswer: 207.1897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 - 89 = 0. Solve -u*q - 15 = -36*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from llklllklkklkk.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39944 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -165\/7, -1\/4, 5?\nAnswer: -165\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.77 (b) -5\/2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1135300 + 5?\nAnswer: -1135251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10098241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 1 - 1 + (r - 2 + 2)*(2 - 3 + 2))*(-9*r - 26*r - 4*r) as u*r + i + k*r**2 and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**3 + 4*y**4 - 9*y**3)*(1 + 7 - 2 + (1 + 2 - 5)*(-1 - 1 + 1) - 3 - 1 + 5) - 8*y**4 + y**3 + 3409 - 3409.\nAnswer: 28*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(800)) - ((sqrt(450)*-1 - sqrt(50)) + 3).\nAnswer: -9 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5816 and 3.77.\nAnswer: 5819.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l. Let s be k(-1). Suppose b - 5*b = -2*a + 22, b - 8 = -a. Let j be (24\/(-5))\/(a\/(-30)). Solve -s*c + 24 = i, -j = -0*i - 5*i + c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h + 4 - 6 + 2 as b + w*h and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -748009, 50 in decreasing order.\nAnswer: 50, 5, -748009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*h + 59*h + 88 - 34 - 54.\nAnswer: -59*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 + 3*w - 3. Let y be d(4). Let f(c) = -6*c + 9. Let g be f(-1). Let z = g - y. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.6789 or -1102?\nAnswer: -1102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65730 = -475*q + 480*q. Let i = q - -19393. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/11 or 4?\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -21*p - 85. Give l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Let w = 98 - 139. Let n = w - -43. Put 4, t, n in increasing order.\nAnswer: n, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Let b be 4\/l*7\/(-2). Suppose 3*p + 26 = 4*w + 253, 2*p = 3*w + 151. What is the highest common divisor of b and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -177*y**3 + 17*y**2 + 9*y + 20. Is c(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7164 and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -5. What is the derivative of -11*v - 7*v**3 - 4 + 10 + o*v wrt v?\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7244*z**2 + 30*z - 265. Is c(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57191 - 57191 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 4, 201, -4, 3.\nAnswer: -4, 3, 4, 32, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203 - 123. Suppose -p + 4 = 0, -4*c + 2*p = 7*p - d. Solve 4*l - 5*r - 6 = 2*l, -5*l - 3*r + c = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 949, 959, 967, 967, 953, 919, 859, 767?\n\"Answer: -k**3 + 5*k**2 + 2*k + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146387\/28 + 5231. Find the common denominator of r and 97\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/(-51)*174\/(-1508)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2148653719.\nAnswer: 2148653719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012210 - -10?\nAnswer: -1012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w - 1. Let a(d) be the second derivative of 1\/10*d**5 - 1\/3*d**4 - 7 + 3*d + 5\/6*d**3 - 5\/2*d**2. Determine a(f) - 5*l(f).\nAnswer: 2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1420*s**3 + 0*s**4 - s - 2*s**2 + 2*s**4 + 1411*s**3 to t*s**4 + x*s**2 + h + v*s + f*s**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, 87, 129, 203, 321?\n\"Answer: 2*p**3 - 2*p**2 + 14*p + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19161\/38 or 505?\nAnswer: 19161\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13561 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14306 + 14702. Calculate the highest common factor of 2574 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*d - 0*d - 2*u, 0 = -4*d - 5*u + 111. Suppose 0 = 3*n + 2*q - 67, -2*n = -4*q - 279 + 245. What is the smallest common multiple of d and n?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from addapzgfp. Give prob of sequence gadd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3028.544 millilitres?\nAnswer: 3.028544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2719 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 - 133 = 7*i - h, 10 = i + 3*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Let l(t) = 6*t + 1. What is the units digit of l(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 32. Let r be ((-12)\/c)\/(1\/(-26)). Solve 3*v - 10 = -2*n, -3*n + r = 3*v + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/378*-9*6*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 56*b + 1. Let l be r(-1). Let o = l - -85. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g - 273. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188292, -376511, -564670, -752769, -940808?\nAnswer: -1128787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211633*d**4 - 2*d**3 + 4*d**2 - 8818375*d wrt d?\nAnswer: -2539596*d**2 - 12*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 294155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 0*o - 2 + 2*o + 4*o. Suppose 111*t - 15 = 108*t. What are the prime factors of i(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (36 + -30) - (-25 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1027 + -446. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlll when four letters picked without replacement from {w: 3, l: 11}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 0, 0 = 2*n - 2*m - 30 - 0. Suppose v + n = 5*v. What is the highest common factor of v and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -137) + (-34 - 39)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**6\/360 + d**5\/24 - d**4\/8 + d**3\/3 - 2*d. Let s(r) be the second derivative of n(r). What is s(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2453593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16860 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4225 and 10443355?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, v: 4, k: 1, u: 1}. What is prob of sequence kk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73432, -73431, -73430, -73429, -73428, -73427?\n\"Answer: d - 73433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*w - 22382 = 0, -w + 8951 = 4*c - 2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -286.1327603 to two decimal places.\nAnswer: -286.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -10776\nAnswer: 1\/1796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - -0.39. Let u = 167 - 337. Let w = u + 170. Which is the second biggest value? (a) w (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/17 + (-48163)\/(-17). Suppose -5*m + 5642 = -m + 2*v, 2*m = -5*v + s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -680, 0.\nAnswer: -680, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 272695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - -1 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -32, 3, 17, 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452608 and 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 806349, 1612696, 2419043, 3225390, 4031737, 4838084?\n\"Answer: 806347*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3279 + 1637 + 1642 + 6*b**2. Let f(d) = -12*d**2 - 2. Determine i(f(o)).\nAnswer: 864*o**4 + 288*o**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g - 111*g + 53*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2. Let k(j) = 2*j - 5. Let p(g) = -3*g + 8. Let v(o) = 8*k(o) + 5*p(o). Determine v(x(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j**2 + 8*j - 3. Let d = -3 - -8. Let m be h(d). Let t = m + 114. Calculate the remainder when t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/29 in 11\/3, -0.013, -0.2, 3, 1?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (sqrt(468)*2*-1 - (5 + sqrt(468) + -3))))**2 + 1.\nAnswer: -2592*sqrt(13) + 151777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79911, 159702, 239491, 319278, 399063, 478846, 558627?\n\"Answer: -n**2 + 79794*n + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/378 and 31\/162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 81 = -5*j + 2623, -1512 = -3*j + 2*k. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -1396, -2653?\nAnswer: -3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 7, 2, -2, 97 in increasing order.\nAnswer: -2, 2, 7, 19, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 306?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101001101011100111111110 + -1?\nAnswer: 1000101001101011100111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 356619.6393 and 308.\nAnswer: 356927.6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17444 divided by 4361.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/94, -3, -10\/91, -4, -1\/5, 4.\nAnswer: -4, -3, -1\/5, -10\/91, 1\/94, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:06 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + 88*s - 202. What is h(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/6 - 1723*j**2\/3 - 142912*j - 9240528 = 0. What is j?\nAnswer: -3182, -132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6.3 (b) -4 (c) -1\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/3 (c) 3402 (d) 2\/665\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 8*y**2 + 2*y**2 - 3 - 3*y**3 - 4*y**2 in the form f*y + p*y**3 + l*y**2 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 2, u: 4}. What is prob of picking 1 w and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**4 + 1787139*u**2 - 289*u - 1349?\nAnswer: -24*u**2 + 3574278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 + 21121222202?\nAnswer: 21122001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q - 5*q**3 + 3*q**3 + 38*q.\nAnswer: -2*q**3 + 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104233581319009\/1409868 + -73931447. Let s = i - 4018476709\/47935512. Let w = s - -1236\/17. What is the common denominator of w and 101\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 6075.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*8\/(-48)*0. Let s be f\/(5\/(-2)*(-24)\/60). Solve s = u + 28 - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9773258.\nAnswer: 2, 11, 19, 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/11 - -158\/165. Which is the third smallest value? (a) -0.4 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 9, -2, -4.\nAnswer: -34, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7*q**5)\/(q*q*q**(-3\/5)*q**(-1)))\/(((q\/(q\/q**(-3\/8)))\/q)\/(q*(q\/(q\/q**(1\/8)))\/q))**(2\/43) assuming q is positive.\nAnswer: q**(2509\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3960 - -3826. Which is the nearest to 0.1? (a) -2 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771861787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-14))\/3 + 522\/(-36).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1488\/(-304) + (-22)\/209\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1070 = -5*p, p + 37 = 5*x + 1095. Let b = x - -214. Solve 0*s = 4*c + 4*s, b*c - 2*s = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.0874cm in micrometers?\nAnswer: 3880874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 73370 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1215)\/(-63) + (-2)\/7)\/(-1). Let c = -155 - z. Let b = -74 - c. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*w + 2 + 8, -28 = -4*l + 5*w. Solve -2*n - 5*o = 2*n - 7, 10 = 4*n + l*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -14 + (10 - 2 - 4) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19*q. What is s(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 3*l**2 + 4*l - 6. Let a(o) = -o**3 - 12*o**2 - 12*o - 4. Let f be a(-11). Let y be f\/(14\/4) - (1 + -3). Determine j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 8*p - 3. Let o = -3 + 6. Let a be q(o). What is the remainder when ((-22)\/a)\/((-1)\/3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kllk when four letters picked without replacement from llkkkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -j - 2*j + 25, 2*j + 2*m - 6 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = 19. Suppose 4 = -2*m + r*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24136 and 241360.\nAnswer: 241360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzgzggggzgggzzg. Give prob of sequence zggg.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/(-270))\/(((-6)\/(-2))\/((-27)\/2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 426880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -58073*o - 1219521. Calculate d(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -22 + 1. Suppose p - 103 = -2*m, 7 = m - 5*p - 17. Calculate the highest common factor of m and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 17 = 4 + 61 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156197 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g + 9. Let v(l) = l + 1. Let s(a) = -d(a) - 2*v(a). Let u be s(8). What is the third derivative of -44*j**6 + 8*j**2 + u*j**6 + 6*j**2 wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3565 - -5242. Calculate the remainder when g is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i\/(i**(-1\/5)*i))\/(i**(-4\/3)\/(i*i**2)) assuming i is positive.\nAnswer: i**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4873 - -4868. Let p = 0.24 + 0.06. Let l = p + -0.1. Which is the closest to l? (a) d (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 725388036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456777 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -0*a - 2*j, -a + 8 = -4*j. Solve g = 3, 3*r + a*g - g = 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2335 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 0*c**3 + c**3 - c**2 + 2081*c.\nAnswer: 3*c**3 - c**2 + 2081*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(175) - sqrt(175)*5 - sqrt(175)).\nAnswer: -sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**8\/1680 + k**7\/840 + k**4\/3 - k. Let o(d) be the third derivative of r(d). What is the third derivative of o(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(3 - (-28)\/(-8)). Suppose -12*z**2 + 2*z**3 + 16*z**4 - 7*z**3 - 4*z**m - 8*z + 13*z**3 = 0. Calculate z.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15*i**2. Let v(p) = 42*p**2 - 63*p - 63. Let b(o) = o + 1. Let s(y) = -63*b(y) - v(y). What is k(s(j))?\nAnswer: -26460*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2410\/(-25))\/((-8)\/10). Let q = -4583\/38 + u. Put -0.4, 3, q, -1 in descending order.\nAnswer: 3, q, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 12, 2*g + k - 438 - 526 = 0. Suppose 1 = -2*x - 1. What is the units digit of g\/25 - x\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*k**3*z + 332289*k**2*z + 2504*k*z - 3*k + 689*z + 1 wrt k?\nAnswer: -630*k*z + 664578*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -10)*4\/(-6). Suppose -5*z + m - 5*m = -303, b*m + 114 = 2*z. What is the remainder when z is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 5*c**2 - 7*c + 8. Let w be f(4). Let d = w + 97. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 8315*w + 8315*w. Let l(s) = -3*s**2. Determine l(t(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4848\/61 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 40*v**2 - 49*v - 323. Let t be u(-41). Let n be 85\/20 - 2\/8. Solve -n = t*a + 6, -s = 3*a + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 88 = -5*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1329 + 1303. Put -3, -4, z, 3 in descending order.\nAnswer: 3, -3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 37*m**2 + 138*m + 22. Let s be p(-41). What is the highest common divisor of s and 1728?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -3. Let a(f) = 0 + 0*f + f + 0*f - 6. Let m be a(7). Put m, 0, r in decreasing order.\nAnswer: m, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -59*k**2. Let l(g) = 17*g**2 - 11*g. What is l(u(b))?\nAnswer: 59177*b**4 + 649*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 + 3. Let g = 4069 - 4067. Which is the third biggest value? (a) g (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 541*b**4 + 2*b**2 + 543*b**4 - b**2 + 17*b**3 - b + 2 + 4 to g*b**3 + l*b**2 + y + v*b + a*b**4 and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*y - 1197, 9*y - 1 = 8*y. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026132603 to 5 dps.\nAnswer: 0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/38 - -41\/114. Let p be 0 - 3\/9*1. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27013\/(-26537) - 1*-1. What is the third smallest value in -3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 5 = -7*z. Is (-4)\/z*2096\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*w**2 + 9087*i**3*w - i**3 + 5*i**2*w**2 + 92*i**2 + 7*w**2 wrt i?\nAnswer: 6*w**2 + 54522*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 781163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 79 - 135 - 4*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r + 120. Suppose -61 = 4*c + 5*z - 14, 0 = -c - 5*z - 8. Let w be b(c). Solve 15 - w = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 3*n**2\/2 + 2*n + 9. Let j(m) = 3*m - 4. Let x be j(3). Let d(l) = -4*l - 3. Determine x*c(u) + 4*d(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-180))\/(21\/42)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 51. Let i(x) = 4*x**2 - 5*x - 1. Let o(b) = 11*b**2 - 16*b - 2. Let a(s) = -8*i(s) + 3*o(s). Determine a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c - 4. Let o be h(-3). Let z(n) = -16*n + 37. Let f(l) = -25*l + 56. Let r(p) = 5*f(p) - 8*z(p). Let i be r(6). Solve -i*v - o = -0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 21514?\nAnswer: 21517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7648441 is divided by 24358.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3579.\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v. Let g be m(-3). Suppose j = -h + 8 + 5, -g = -4*h + 4*j. Let t(q) = q**3 - 12*q**2 + 11*q + 7. What is the units digit of t(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318861*x - 7 + 2637714*x - 1318887*x.\nAnswer: -34*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**2\/4 + 3274*v - 3635.\nAnswer: -(v - 1454)*(9*v - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -510272 divided by -268\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 80. What is q(0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -10, -1, 8, 17, 26?\n\"Answer: 9*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40666 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**14\/r**9)\/(r**(4\/5)\/r)**(-2\/3))**(-3\/28) assuming r is positive.\nAnswer: r**(-73\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v + 5*v + 6552. Let x = v - -408. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3810808, -7621614, -11432420, -15243226?\n\"Answer: -3810806*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-4*(-1)\/2. What is the nearest to 2 in y, -1\/2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447420229 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 898802082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -725 - 430765\nAnswer: -431490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 divided by -4?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35890664.\nAnswer: 2, 4486333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u**2. Let l(n) = -5*n**3 + 5*n**3 - 3*n**2 - n**3 + 0*n**3. Let v(p) = -5*h(p) - 4*l(p). What is o in v(o) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-15 + -10 - -25)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1423 and 182144.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.3 (c) -0.04 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 5. Let n be x(4). What is the highest common divisor of n and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10 and -57\/2891.\nAnswer: 28910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*sqrt(7)*3 - sqrt(35)\/(sqrt(15)\/sqrt(3)))*2.\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 948.529\nAnswer: -3794.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -125 (b) 17 (c) -2 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 75*s**2 + 106*s - 56. List the prime factors of y(-77).\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1558.\nAnswer: -4674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from djezffh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 253, 505, 757, 1009?\n\"Answer: 252*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 5) to base 9\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -143122?\nAnswer: 143114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37440 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.32, -7.3, -0.2, 1\/4?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 316481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/4 - 31*n**3\/4 + 361*n**2\/4 + 31*n\/4 - 90 = 0. Calculate n.\nAnswer: -40, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 9*n**2 + 8*n + 10. Suppose 5*o + 10 = -0*o. Let x = o + 10. Is 10 a factor of g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -1. Let a = 0.2 - -0.8. What is the nearest to a in b, 2, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:06 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 245072, 490245, 735414, 980579?\n\"Answer: -2*p**2 + 245179*p - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1291 and 1261.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:47 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 22 = -4*s, -3*s - 32*y = -6*s + 3 - 329 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 9 = 17. Let u = 116 - n. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -68, -1 in decreasing order.\nAnswer: 6, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -38.9. Let b = 0.5 + -0.3. Let o = -55\/7 + 8. What is the nearest to 1 in b, o, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 186*d - 24. Let c be o(-9). Solve 2068*t + 26 = c*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -36339*(3 - 33\/9) - (3 - -4). Round l to the nearest one hundred.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421423 - -3002?\nAnswer: -2413421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -532 or 1?\nAnswer: -532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-4 + 3 + 2). Let c be (8\/10)\/((-8)\/(-40)). Suppose -2*t + c = -t. Solve -y*z = 3*j, 2*z = -0*z - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7818*g**2 - 12721*g**2 + g**3 - 4 + 4 + 4903*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 252*v = -255*v + 21, -28 = 4*d + v for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) -859 (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4089 - 1699. Suppose -k - 3*o = z, -4*k + 5*o + 7170 = -7*k. What is k rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 4\/(-6)*3. Let a = g - -1. Suppose -5*c + 14 = 4*i, 0*c + 11 = 5*i + a*c. Solve -2 - i = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 237.185 and 3.\nAnswer: 240.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -21*w**2 - 2*w + 4. Let f be t(2). Let n = 91 + f. Suppose 407 = n*j + 57. What is the remainder when 247 is divided by j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l + 5*m - 0, -2*l + 16 = -2*m. Solve -3*h + 6*h = 4*r + 2, 5*r + l*h + 20 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 - 3*f**2 - 7*f - 5. Let q be (3*-1)\/((-3)\/4). Let a(k) = -5*k**3 + 6*k**2 + 13*k + 9. Let j(h) = q*a(h) + 7*i(h). Factor j(w).\nAnswer: (w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5 = 3*j, -4*v - 5*j + 9 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/(287\/(-246))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 30. Solve 0 = -d - j + 4*j + 3, -2*d + 3*j + 6 = k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/215 and -16\/43.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 149 - 181 = 0. Solve -2*a - t*q + 9 = -9, 2*a + q - 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762796617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by ((2 - 5)\/(-3))\/(1\/14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-9765)*645*21?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18871*p - 10530015. Give f(-558).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7623)*-1)**2 + -1.\nAnswer: 7622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrnrveuevrervunerrue. Give prob of picking 1 v and 3 r.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 447.782 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272454 divided by -2?\nAnswer: -3136227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 + -144. Suppose -597 = 4*i + 7*x - p*x, -5*x + 305 = -2*i. Put -4, i, 3 in descending order.\nAnswer: 3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(60)\/(sqrt(5)*1*-6 + sqrt(5)))\/(sqrt(16)\/sqrt(4)*-5 + (-4*sqrt(576) - sqrt(576)) + sqrt(4) + sqrt(4) + sqrt(4)).\nAnswer: 2*sqrt(3)\/155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5655 and 4177914?\nAnswer: 20889570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1537 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15117344, -30234669, -45351994, -60469319, -75586644, -90703969?\nAnswer: -105821294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:56 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/174747068 and 121\/20.\nAnswer: 873735340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 2 (b) -2\/3 (c) -2\/25 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2\/2 - 5208*v - 4520544 = 0.\nAnswer: -1736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -534a30 (base 11) in base 14?\nAnswer: -183c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1315420 and 67640.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 50*l**2 + l**2 + 3*l.\nAnswer: 51*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 595559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -8) + (1 + 3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - -0.06. Let y = s + 0.41. Which is the third smallest value? (a) y (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -659, 0.1 in descending order.\nAnswer: 0.1, -2\/3, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 19.1, -2\/5, 80?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 312?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -467 or -4210\/9?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 1995764*l**2 + 1493652728886*l.\nAnswer: 2*l*(l - 1496823)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31675079*-0.01\nAnswer: 316750.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Let a be (r\/(-6))\/(1\/(-6)). Differentiate h + 3*h - a + 1 with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3384 + 40679\/12. Find the common denominator of 1\/(-6)*(4 - -1) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 674 = 6*a + 709 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377 (base 11) to base 9.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*l**5 + 214*l**3 + 18*l**2 - l + 10 wrt l.\nAnswer: -780*l**2 + 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/143)\/(-1 + (-20)\/(-12)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(126)\/sqrt(3))\/sqrt(6) - (0 + (sqrt(567) - (-2 + sqrt(567)))))*5)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5308 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3141, 6270, 9409, 12558, 15717, 18886?\nAnswer: 22065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4709 = -2*v - 963. What are the prime factors of v?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 1. Let u(b) = 89*b**4 - 2*b**2 - b + 12. Let q(n) = -u(n) - 2*v(n). What is the second derivative of q(x) wrt x?\nAnswer: -1068*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - m + 1. Let x(w) = w**2 - w + 1. Determine 2*i(f) - 2*x(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57403024512177 + -57403019920157.58999981. Let p = w - 4592019. Let l = p - 0.41. Round l to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 482.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182872343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 7 - 3. Suppose -4*d + 81 - 5 = -2*l, -5*d + 4*l + 98 = 0. Calculate the remainder when (-7 - r)*(-35)\/2 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -10*c. Are 2 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.3 at most as big as 6743\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 130.10510025327 - 31\nAnswer: 99.10510025327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + g - 191, g + 430 = 5*l - 65. What is the least common multiple of 35 and l?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -29*n + 187. Let j(s) = -212*s + 1308. Calculate 3*j(l) - 22*q(l).\nAnswer: 2*l - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15109 is divided by 1272?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 5*z + 5. Calculate the remainder when m(-6) is divided by 2 + 2\/(-4) - 315\/(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13411 - -13631. Solve -227*f - 14 = -z*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 6. Suppose -w - 7 = 2*q, -5*q + 5 = -0*w - 2*w. Let c be ((-3)\/2)\/(q\/(-2)). What is u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 75. Let g(m) = -283 - s*m + 283. Let l(o) = 2*o**2. Calculate g(l(p)).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 35*c**2 - 64*c - 14. Let p be w(33). Solve 0 = -16*a + 3*a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -113. Does 31 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 109, 131, 139, 127?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1 (c) 2\/13 (d) 0 (e) -0.4 (f) 12379 (g) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 42 = -14*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-14 + 2 - 3)*(-19 + 59 - 11 + 6*l - 6).\nAnswer: -180*l - 690","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 51*c**3 + 2*c**2 - 15*c + 2. Let a(u) = 25*u**3 + u**2 - 7*u + 1. Let w(f) = 13*a(f) - 6*x(f). Is 10 a factor of w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3 + 8 = 5*r, v - 4*r + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*b - 97. Let u(w) = -4*w - 2. Calculate u(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 102*j**4 - 3*j**2 + 97*j**4 + j**3 + 3 to the form h*j + o*j**3 + m + l*j**2 + w*j**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17114849 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 322413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7616 - -7615.91. Sort -0.3, 79, v in descending order.\nAnswer: 79, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1921 - -2038. What is the remainder when k is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1) + (-3 - 1). Let w = 4 + d. Suppose w = -2*p + 4*p. Solve -2*m + 6*m = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20064 - 106 = 34*o. What is the remainder when o is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51541981 bigger than -51541981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 772.3695 millimeters?\nAnswer: 772369.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 12*i + 5. Calculate k(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let o(z) = 6*z - 2 + 15*z**w - 19*z**2 - z**3 - z. Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63680978, -63680985, -63680992, -63680999?\n\"Answer: -7*n - 63680971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (52\/(-6))\/(-6 - (-8050)\/1344)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 + 2020 = g - 3*a, 3693 = 2*g - a. Let u be g\/(-55) + (-2)\/5. Let z = u + 50. What is the greatest common divisor of z and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1982 - 1985. Let a be (-1 - 1)\/((-4)\/42). Put a, -4, y in descending order.\nAnswer: a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 197643 (c) -0.2 (d) 0.4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27415440 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2\/15, 0.1, 0, -0.09 in decreasing order.\nAnswer: 2\/15, 0.1, 0, -0.09, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 638 - 639 = -2*y, -4*k - 11 = -5*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5be6 (base 15) to base 13.\nAnswer: -8ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-18)*((-6)\/(-45))\/((-12)\/(-75)*-5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 m when three letters picked without replacement from mmvvvmvmvmmmvvmvmv.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 5.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-30)\/9)\/((-14)\/441)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 1397464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.8, 23?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 20010*x**2 + 322. Let y(j) = 187*j**2 + 3. Determine -3*g(b) + 322*y(b).\nAnswer: 184*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12493 = -114*v - 76*v + 1187. Let d(j) = 44*j**2 + 36*j - 36. Let w(t) = -t**2 - t + 1. Calculate v*w(k) + 2*d(k).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)\/((y*y\/(y*y*((y*y**(1\/5)*y)\/y*y*y)\/y*y*y))\/y))**(-12) assuming y is positive.\nAnswer: y**(-297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6)\/d*d**(-1\/64)*d)\/(d*d*d\/d**(-8\/9))**(1\/17) assuming d is positive.\nAnswer: d**(-51353\/9792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10040 divided by -2.\nAnswer: -5020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.527.\nAnswer: -0.2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7818*x**3 + 6*x + 5. Is s(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*w**3*x + k**3*w**2 + k**3*x - 80*k**2*w**3*x + 2*w**2*x + 3*w**2 wrt w.\nAnswer: 6*k**3*x - 480*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 1362 - 3032. What is the smallest common multiple of a and 14?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from oiooioo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2371851692 to the nearest integer?\nAnswer: 48702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38873501, 77747002, 116620503, 155494004?\n\"Answer: 38873501*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203 (base 9) in base 8?\nAnswer: -4460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158015 is divided by 26306?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65781564 or -65781565?\nAnswer: -65781565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23255 is divided by 201?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + 1000?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -3. Let t be j\/3 - 1\/(-3). Let x(v) be the third derivative of -v**6\/120 + v**5\/30 + v**4\/24 + v**3\/2 + 5*v**2. Determine x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.52 - 67. Let w = -267 + 279.82. Let d = c - w. What is d rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83881 and 76013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 907289492 at least as big as 907289492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 15438*m - 4073679.\nAnswer: -3*(m + 279)*(m + 4867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 822, 2542, 5136, 8604, 12946, 18162, 24252?\nAnswer: 31216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 2:34 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2. Let h(f) = -8*f + 12*f + 6*f + 29*f. What is b(h(w))?\nAnswer: -7605*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 4*q + 0*q)*(9 - 9 + 8*q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 + 792*c**2 - 53*c + 6997. What is a(132)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21 + -30)\/9*321\/3. What is the third smallest value in g, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8211696 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 173, 359, 625, 983?\n\"Answer: 2*x**3 + 22*x**2 + 38*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.05 + 5.36. Let r = 1936 + -1935. Is r smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 - -282. Suppose -32*f = -a*f + 36. Solve -r + 12 + f = -4*x, -2*r = 5*x + 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 651 - 1361. Let p be o\/(-4)*1*24\/30. Let c = p + -74. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33*1\/495 - (-92)\/(-30). Let o be -1 + 2 - 7\/5. Is r < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -5*u**6\/6 + 7*u**3\/3 + 14. What is the third derivative of m(f) wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = b - 10 - 1, 0 = -5*f - 20. Suppose -6 = b*o - o. Let n = o - -40. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 149*l + 11 - 38*l - 76*l + 124*l - 35*l to the form o*l + n + c*l**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 24 = -4*f, 5*r - 5*f = -0*f + 70. Suppose r*w = -719 + 2119. What is the remainder when w is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2094, 0.5, -8, -3, 5 in descending order.\nAnswer: 2094, 5, 0.5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -15*q + 42. What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 3. Let l = 5 + -3. Let s(f) = -f + 2. Let c(o) = l*h(o) + 3*s(o). Let b(g) = -g. Determine c(b(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73125153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**5\/20 - 5*w**4\/12 + w**3\/3 + 3*w**2\/2 + 8*w. Let m be 44\/10 - (-2)\/(-5). What is x(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1365 and -294 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 5*c + 5. Let z be l(-3). Differentiate -9*f + 4 - 3 + 13*f + z*f with respect to f.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43988810 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.7. Let n = s - -0.05. Let l = -0.15 + n. Which is the biggest value? (a) l (b) -0.06 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4421?\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290855946.\nAnswer: 2, 3, 191, 253801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28489*r + 248505*r - 23621*r.\nAnswer: 253373*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1334 at most as big as -1334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -44. Suppose 5*r = -15, -55 + 211 = 3*k + p*r. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 + 9*d + 24. Give j(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 95*w + 125. Let i(g) = -47*g - 61. Let c(d) = -5*i(d) - 3*o(d). What is the remainder when c(-5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84195 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 2\/7 (c) 3 (d) -0.4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 146.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52036 - 52276.97. What is z rounded to the nearest integer?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) - 3\/(-4). Suppose 25*z - 560 + 35 = 0. Suppose z*k - 10 = 32. Solve 0 = -k*d + 4*g + 12, -g = 3*d - u + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 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: What is 4.45686 rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -18*m + 17*m. Let d(s) = -2*s**2 - 23*s + 25. Let p be d(-11). Calculate the greatest common factor of p and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -529*p + 179*p + 180*p - p**2 + 177*p in the form q*p**2 + r + f*p and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 516*j**3 - 98*j**2 - 10*j - 11. Is d(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**0*z*z)*z**(-3\/4)*(z**(-2\/5))**(-13))\/(((z\/(z\/z**(-4)))\/z**(1\/4))\/(z*z*z*z*(z**0\/z*z)\/z)**(-1\/35)) assuming z is positive.\nAnswer: z**(533\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103\/2 + 725\/14. Which is the third smallest value? (a) 5\/2 (b) d (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, p: 3, e: 5}. Give prob of picking 4 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -4*u**3\/3 + u**2\/2 - 2*u + 5. Let l(d) = d**3 + 5*d**2 - 2*d + 3. Determine 2*l(r) + 3*z(r).\nAnswer: 2*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -610 - -605. Which is the fourth biggest value? (a) -13 (b) 4 (c) h (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.59166 to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -57 in descending order.\nAnswer: 4, -0.2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96285 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 + j**2 + 369*j - 1. Let w(o) = 4*o**3 + 2*o**2 + 368*o - 2. Give -3*d(v) + 2*w(v).\nAnswer: -4*v**3 + v**2 - 371*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*m + 7 = 0, 4123 = -5*m + 8244 - 4096 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 - (-4 + -6 - -8 - -4). Let o(n) be the second derivative of r - 1\/6*n**4 + 0*n**3 - 9*n**2 - 13*n. Differentiate o(q) with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -542 - -536. Which is the second smallest value? (a) d (b) -5 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032220 + 14122?\nAnswer: 1050342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 9*o = -3078. Let m = o + 344. Put m, -4, -5 in ascending order.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -4*g + 85989*s - 85985*s, g - 2*s - 19 = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 271.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.1. Let l = w + -0.1. Let y be (-1)\/(-5) - (-69)\/(-195). Sort 0.4, l, y in ascending order.\nAnswer: y, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*2*4 - ((3*1*sqrt(99) - sqrt(99)) + sqrt(99)))*2)\/((-3*sqrt(216))\/((sqrt(216)\/sqrt(4))\/sqrt(9))))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 1. Determine o(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**4*h)\/(((h\/(h**(-3\/26)*h)*h*h)\/h)\/h*h))\/(h\/h**26*h*h\/(h*h*(h*h\/h**(5\/2))\/h*h*h)*h) assuming h is positive.\nAnswer: h**(291\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 392 = -7*l. Suppose -4*u = -2*u - l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, m: 8, i: 1}. Give prob of picking 1 u and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156847192.\nAnswer: 2, 89, 220291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, h: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21963 - -20042. What is the highest common divisor of 155 and l?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 25. Let v be f(-5). Let j = 20 - v. Let u be 18\/(-8)*5\/j. Which is the biggest value? (a) 1\/3 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)\/(q\/q**(-1)*q))\/((q**(-3)*q*q)\/(q**(3\/7)*q)) assuming q is positive.\nAnswer: q**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.22397 to 0 dps.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1125 + 112466?\nAnswer: 111341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 - 8 = 0. Suppose 0 = -9*q + 4*q + 130. Let c be (-10)\/65 - 2\/q*-41. Put 4, c, n in ascending order.\nAnswer: n, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*g = -87 + 114, 34 = 5*b - 2*g. Suppose -5 - 3 = -z. What is the smallest common multiple of z and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -25*b**3 + 7*b**2 - 10*b. Let d(w) = w**3 - w**2 + 2*w. Calculate 6*d(o) + q(o).\nAnswer: -19*o**3 + o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 - 108334*g\/11 + 462480.\nAnswer: 2*(g - 54120)*(g - 47)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000775454 to six decimal places.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 8846\/4825, -4.\nAnswer: -4, 0.2, 8846\/4825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 3*u + 6. Suppose 3*x - 38 = -3*f - 2, -2*x - 3*f + 28 = 0. Let p(b) = -b**3 - b + 2. Calculate x*p(h) - 3*l(h).\nAnswer: -2*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + 2. Let k = 0.1 - h. Let l be ((-4)\/(-10))\/(4\/5). Put l, -1\/5, k in increasing order.\nAnswer: -1\/5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - k = -89, 4*q + k - 76 = 5*k. Let w be 10\/(-45) - 2139836\/q. Let d = -201880 - w. Round d to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131550850 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1912*l**2 - 9*l + 49. Let s(w) = -478*w**2 + 2*w - 12. Determine -2*g(v) - 9*s(v).\nAnswer: 478*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 9, 1 in decreasing order.\nAnswer: 9, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + o**2 - 1)*(-5*o - 373*o**2 - 381*o**2 - 398*o**2 - 406*o**2 + 1675*o**2) to f + l*o**4 + s*o + v*o**3 + u*o**2 and give l.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (5 + -10 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2)*(-36)\/(-27). Suppose 18 = 4*p + 2*s, -36 = -4*p + 6*s - w*s. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4439 - 4428. Let j(z) = z**3 - 7*z**2 - 7*z. Let o be j(8). Let p = -18 - -22. Solve 5*v + o = -i - 11, -5*i - s = p*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 q when four letters picked without replacement from {q: 13, a: 3, l: 4}?\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 70 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 323*m**2 + 1591*m + 1193. Calculate l(-318).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2) + 12\/24)*0. Let v(b) = -2*b - 7. Let t be v(-3). Let d be -2 - (-3 + -2 + t). Solve -5*c + 2*l - 6 = -0*c, u = d*c + l - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 2, -2, -165, -4 in decreasing order.\nAnswer: 39, 2, -2, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 7\/((-273)\/6). Let w = j - -33\/130. Which is the nearest to w? (a) 2 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-385 - -3)\/(-4 - -2). Let i = 297 - b. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -1 in descending order.\nAnswer: -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*f - z, -f = -0*z + 4*z + 3. Let h(o) = -o**3 - 8*o**2 - 5*o + 3. Give h(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*y - 245*y = 1430*y + 54375 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.22. Let o = 0.92 - x. Which is the nearest to -2\/5? (a) o (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*t = z + 1, -5*t = 0. Let x = z + 1. Let b = 0 + x. Solve 0 = -y - b*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55272 in -1\/10, -0.02, 5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230062 - 3024?\nAnswer: 224035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -12, 2, 3, 10, -1.\nAnswer: -12, -1, 2, 3, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 (base 7) in base 4?\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 722193787 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, j: 2, g: 2, r: 1, o: 1}. What is prob of sequence or?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*v + 57227 - 61187 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*g - 2 + 2 - 383*g - 83*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + -0.3. Let a = 78 + -74. Let f = 16 + -13. Put a, f, t in ascending order.\nAnswer: t, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/13594560 and -137\/840.\nAnswer: 13594560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (41 - 1 - (27 + -22 + -12)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2 (c) 19 (d) 3\/244 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10057 and 0.13.\nAnswer: -1307.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - (34 - (93 + -91))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 43.\nAnswer: -4, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, s: 6}. What is prob of picking 4 s?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13320 and 12321.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.784 rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52.65 + 10.1. Let v = d - 74. What is v rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = -145*h + 1110 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33 - -3)*12\/9. Let l = x + -65. List the prime factors of ((-362)\/10)\/(21\/l).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 20*j**2 - 2*j + 2. What is a(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.044, 2\/5, -2\/197127?\nAnswer: -2\/197127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2451 = 9498*m + 9460*m - 19001*m for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/124*1*20*(112\/14)\/16?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-75)\/175*(-14)\/6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) 4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2976 + 8755. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 613264456 and 3864?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - g - 4*g)*(-1 + 3 - 1) + (1 + 2*g - 1)*(18 - 19 + 37).\nAnswer: 73*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-14280)\/(-364) + (-2120)\/(-52)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 3*z**3 - 6*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 37*u = 48*u + 12410. Which is the smallest value? (a) 0.4 (b) u (c) -4 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6864 and 307824.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37380 + 4?\nAnswer: 37384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*n**5 + 509323*n**4 + 93*n**2 + 51595*n + 10 wrt n.\nAnswer: 4380*n**2 + 12223752*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 1 - sqrt(2448)) + sqrt(17) + (sqrt(1088) - (-3 + sqrt(1088)))**2.\nAnswer: sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5521339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*k**2 + 507\/2 + 39\/4*k + 27\/4*k**3.\nAnswer: 3*(k + 2)*(3*k - 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12980.8951 - -12874.89. Let u = i + 106. What is u rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -12.1 (c) 3 (d) 2\/19 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose 0 = c - 4*h - 6, r*c + 4*h = 2*c. Does 8 divide (50\/c)\/((-6)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + 4)\/((-1)\/(-1)). Let p(z) = -z**3 + z + 2. Does 13 divide p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/7802905 and -54\/1205.\nAnswer: 1880500105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -123 (b) -1.1 (c) -0.3 (d) 2.6 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - (-1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13251.2 - -13251. Let q = 1\/8 - -1\/8. Which is the third smallest value? (a) 14 (b) -3 (c) z (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) 2\/3 (c) -1\/5 (d) 3 (e) -1.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*v + 13, -3*v + 3*g + 3 = 21. Let c = -72 - -102. Let x be (v\/2)\/((-5)\/c). Solve -2*i + 25 = x*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118617413 at most as big as 118617413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/7)*h**(-1)*h*(h**0)**(-1\/6)*(h*h**(-2\/7)*(h*(h\/(h*h**(-3)))\/h)\/h)\/(h**(-3\/2)\/h**(-6)) assuming h is positive.\nAnswer: h**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17276.65065 microseconds to weeks.\nAnswer: 0.000000028565890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/107240 and -55\/392.\nAnswer: 750680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -4*r**2 - 1\/6*r**4 + 0 - r**3 + 0*r. Find the first derivative of g(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 1308 = 14*t - k, 68 = 2*t + 7*k - 15*k + 9*k for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*z = -0*z, -4*p = 4*z - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = s - 137, 4*s = -4*a + 421 + 111. Let v = s + -130. Solve -v*j = 12 + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 - 3*v + 3*v + (-2 + 32*v + 2)*(-15*v**3 + 89*v - 89*v) + 8*v**4 - 6*v**4 + 0*v**4 to the form p*v**3 + s*v**2 + n*v + u + a*v**4 and give a.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31246 (base 7) to base 2\nAnswer: -1110111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**3 + 19248*a**2 - 192976*a - 462912 = 0?\nAnswer: -4822, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iissrnbinsbs. What is prob of sequence nrb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 15 = 3*c, -3*c - 36 = 2*o - 6. What is the tens digit of c\/24 + 34\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -60, -4, -2 in descending order.\nAnswer: 4, -2, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqhhqquq. What is prob of sequence uhq?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*z**4 + z**3 + 257*z wrt z.\nAnswer: -168*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 9*b**2 + 8*b + 6. Let u be h(8). Let o(q) = 1 + q**2 + 0*q**3 - u*q**3 + q + 0*q. What are the prime factors of o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21556130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13447395 divided by 45.\nAnswer: 298831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**9)\/d)\/d)\/d**(2\/13)*(d**(1\/7))**(-24) assuming d is positive.\nAnswer: d**(-1236\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**39\/(m\/(m\/(m*m**8))*(m*m*m**(-2\/19)\/m)\/m) assuming m is positive.\nAnswer: m**(-169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqo when three letters picked without replacement from qqoqqqqqqqqqqqoqqqq.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*i**2*n**3 - b*i + 12*i**2*n - 52*i**2 + 2*i wrt n?\nAnswer: -9*b*i**2*n**2 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 279b581 (base 13) to base 6\nAnswer: 1124355351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 728 = u - 747, -23 = -4*l - 5*u for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -162 in decreasing order.\nAnswer: 1, -1, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/499932 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhsshhhssssssssihs. What is prob of sequence sih?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(5*w - 5*w - w)*(2 - 1 - 2)*(-5*w + 4*w + 4*w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 + 5.1. Put 0.1, -4, u in decreasing order.\nAnswer: u, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 44850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718179231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-750)\/(-125)*7069\/6.\nAnswer: 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/7)*l*l)**48*(l*l**(-3\/4)*l*l)**(20\/9) assuming l is positive.\nAnswer: l**(1139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 18 + 24 = 0. Suppose -2*p + d*p - 50 = -3*s, 4*p + 70 = 2*s. Solve 4*i - 10 = -2*u, 0*i + s = -u + 4*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - (-2 - -3)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 + -9. Let m be (-14)\/(-92)*(-8450)\/(-1183) + -1. What is the smallest value in m, -9\/5, x?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15306294753 and -0.0315.\nAnswer: -15306294753.0315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most -172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - 0.2. Let r = f + -2. Which is the nearest to -0.1? (a) -0.2 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/o*o)\/(o*o\/o**(-1\/9))*((o**(-3)*o)\/o)\/(o\/(o**(-2\/25)*o)))**(-9\/8) assuming o is positive.\nAnswer: o**(809\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329*y + 1334*y - 12248 = -4*z, 2*y = -z + 3062. What is the remainder when z is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o**3 + 17*o**3 - 34*o**3 + 2 + 3*o - 3*o**2 + 4*o**2 to k + x*o**2 + l*o**3 + y*o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 89\/6?\nAnswer: 89\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/20 - g**3\/6 + 30*g. Let b be 8\/(-12)*(-9)\/(-3). Let t(d) = -8*d**3 - d**2 + 7*d. Determine b*t(a) - 14*w(a).\nAnswer: 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 799, -6, -3387.\nAnswer: -3387, -6, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b + b**4 + 10*b**3 + 927 - 2*b**2 - 927 to u*b**4 + a*b + p*b**3 + c*b**2 + i and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190625 and 7350.\nAnswer: 56043750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d - 4. Determine h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 30*y + 115. Let t(c) = 0 + 4*c + 1 + 15*c. Calculate the remainder when b(4) is divided by t(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 270 or -6?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d (base 14) in base 16?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - c + 17200, -14*a = -16*a + c + 11470. What is the greatest common divisor of 610 and a?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x = -15. Suppose -364 = -a + x*a. Let l = a - -100. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-1608)\/(-96))\/((-6)\/(-8))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 198 = 3*m, 5*m + 0*x - 338 = -x. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/11 and -37\/62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5412*w - 5402*w - 57420. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -18*j**2 + 4*j + 2. What is s(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*t = 547*t - 5016. What is the lowest common multiple of 456 and t?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022031011 + 2101?\nAnswer: 2022033112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 2.44, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -1. Let w = -58 - -53.7. Let p = w - -4.6. Which is the third smallest value? (a) 3 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 12. Suppose 3*v - 128 + 37 = -4*p, -v - 4*p + 25 = 0. Suppose 5*m - 32 = 5*z + 33, -v = z - 5*m. What is i(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -194952, -194796, -194646, -194502, -194364?\n\"Answer: -3*x**2 + 165*x - 195114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309300 and 40?\nAnswer: 618600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8*24*104\/195)\/(106\/265)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1597, -3078, -4559, -6040, -7521?\n\"Answer: -1481*c - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p - 140 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 315955327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11221201231 - -10?\nAnswer: -11221201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1905 by 5.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52 (b) -1 (c) 1 (d) -0.1 (e) -4 (f) -2\/3 (g) -299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/2, 2, -0.65, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 - 8*n**2 - 7*n - 4. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-18) + (-17 - 20644\/(-1170))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284731991?\nAnswer: 1063, 267857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2682 - 1856. List the prime factors of y.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1) + (-7)\/(-7). Let c(u) = u**3 + 10*u**2 + 7*u - 15. Let q be c(-9). Solve 0 = o*j - q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*v + t, 137*v = 134*v + 3*t - 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/7728 and 43\/112?\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -946 divided by 86?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*x**5\/3 - 13598*x**4\/3 - 653988*x**3 + 16291348*x**2\/3 - 12998014*x\/3 - 439250 = 0. What is x?\nAnswer: -375, -251, -1\/11, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 >= -53\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:11 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*p = -76 - 218, -4*p = -5*a + 297. Suppose -18*s = -20*s + 116. Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b - 21 = -3*w - 156*b, 0 = -w - 3*b for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005513 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4540*p**3 - 1915*p**3 - 2588*p**3 + 3*p**2.\nAnswer: 37*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 3*n + 3*n + (-2*n - 3*n + 4*n)*(-1 - 2 + 1)*(2*n + 1 - 1) in the form a*n**2 + m*n + q and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 1 + 20 + -18 - 46\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -665420855*s**3 + 277352411*s**2 wrt s?\nAnswer: -3992525130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 92, 93, 94, 95?\n\"Answer: z + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/2, -3\/4, -10, -6\/11, 1\/2, -0.4, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 1. Let a(g) = 11*g**2 - 2*g + 4. Let i(o) = a(o) - 6*d(o). Let b(j) = 6*j**2 - 3*j - 2. Determine -3*b(w) + 4*i(w).\nAnswer: 2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**2 - 11 + 11)*(-2*m - 2*m - 3*m) as v*m + q*m**2 + p + k*m**3 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/154*(-152)\/3. Let j = 90\/11 - u. What is the nearest to 0.1 in -2, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/120 + o**5\/60 + o**4\/6 - o**3\/3 + 7*o**2. Let x be f(-4). Let s = -66 - x. Solve s*u = -4*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738629.\nAnswer: 601, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -22*m**3 - 353*m**2 - 21*m - 36. Give h(-16).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1427.\nAnswer: 1\/1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93112 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/(-18))\/(6\/8*1). Let a = j - -2. Solve -7*n + n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*h**2 - 4*h + h**3 - 7 - 118*h**2 + 4*h to the form n + i*h + q*h**3 + d*h**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 7*o**2 + 12*o - 8. Give i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*h - 24*h - 176*h**3 + 178*h**3 as y*h**2 + k + s*h + q*h**3 and give s.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10078927 to the nearest integer?\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/21 - 70\/735. Let g be (-10)\/(-80) - 62\/(-16). Suppose g*w + 3*l + 2*l + 6 = 0, 5*w - 2*l = 9. Solve -4*j - a - 5 = w, 3*j - 4*a - 5 = q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12303 and 1771291?\nAnswer: 1783594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1561.9079 + 1562. What is j rounded to three decimal places?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c = -90. Calculate the remainder when 27 is divided by (0 - 2)\/(4 - c\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120220.99936 + -120185. Let g = m + -36. Round g to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -856, -904, -954, -1006, -1060, -1116, -1174?\n\"Answer: -h**2 - 45*h - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 2. Let j = 45474 - 45478. Suppose -8*k + 4*k + 12 = 0. Sort j, 4, k, s in ascending order.\nAnswer: j, s, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*d*v - 8836466*d + 262377*v wrt v?\nAnswer: -17*d + 262377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*2\/(-8)*2. What is the remainder when 17 is divided by -6*f\/10*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*n + 11, -5*a + 0*a - 3*n + 31 = 0. Suppose -4*y + 5*p - a = 0, 5*y - 2*y - 10 = p. Solve -3*m + 37 = y*f, -4*f + 36 = -m + 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055904 rounded to the nearest one thousand?\nAnswer: 3056000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.02 (b) 45 (c) -3 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12653312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-78) - (-76)\/13. Suppose v*i + 266 = 1328. Suppose 3*y + 9 = -0, 0 = 3*j - 2*y - i. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*g + 75 + 742. What is the highest common factor of 31 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3284062.\nAnswer: 2, 1642031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)*(k\/k**(1\/2))\/k*k**1\/k**(-2\/29) assuming k is positive.\nAnswer: k**(-199\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 10*i - 20. What is the remainder when h(7) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5311 - -3024?\nAnswer: 12335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2659322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1631954110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4111 * 0.1131\nAnswer: -464.9541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 18, s: 2}. What is prob of sequence gg?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01200124 + -0.012. What is t rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -139, -116, -75, -10, 85, 216, 389?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 54*i + 676. Calculate the remainder when y(40) is divided by 98.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71100 and 1440?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067 * 1481.\nAnswer: 99.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g**2 - 68*g + 419. Let u(n) = -6*n**2 - n + 3. Let r(w) = m(w) - 2*u(w). Determine p so that r(p) = 0.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -667 - 4675*z + 667 - 4200*z as r*z + m and give r.\nAnswer: -8875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 2*n + 2*n**2)*(8*n - 26*n + 87*n + (2 + 1 - 2)*(-4*n + 5*n + n)) to j*n**2 + q*n + s*n**3 + b and give s.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000136153 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4602153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = -0*x. Suppose 0 = 4*n - 20, 0*w = -2*w - 5*n + 19. Let f be 1 - (1 + w + 1). Solve -f*j - 5 = -x*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x + 37646 - 255436 = 6*x. List the prime factors of x.\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1\/(-8)*-4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(5\/6))\/p)**(-22)\/(p**13\/(p\/(p\/p**(2\/39)))) assuming p is positive.\nAnswer: p**(-1220\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3 = -3*m, 4*b - 2*m - 8 = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 - -0.32. Let h = -12.8 + f. Let x = -195 - -195.3. Which is the second smallest value? (a) h (b) 0.5 (c) x (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:37 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5378.\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24013022 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70536 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1501*r. Let i(j) = -2610244*j. Give -10437*a(x) - 6*i(x).\nAnswer: -4473*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -30 + 42 + (-3 - 20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6*q + 29 + 251, -63 = -2*q - 5*h. Solve q = -22*b - 61 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*y**2 - 90*y**2 + 19*y**2 - 13*y**2 in the form z*y**2 + i + w*y and give z.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldwl when four letters picked without replacement from {w: 1, d: 3, l: 4, j: 6}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + 49. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260526776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*h**4\/3 + 102*h**3 - 416*h**2 + 128*h\/3.\nAnswer: -h*(h - 8)**2*(19*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 14*g + 52. Let q be b(-7). Let t = 0 - -6. Let w = 6 + 0. Solve -5*m - 3*y = y - t, -q*y + w = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by 3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5707841*u**3 + u**2 + 16*u + 36965?\nAnswer: 34247046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/16248 and -74\/9.\nAnswer: 48744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*n**4 + 4702256*c*n**3 + 13*c*n**2 + 50*c*n - 45*c - 6*n**4 + n**2 + 2*n - 69 wrt n?\nAnswer: -24*c*n + 28213536*c - 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -417*m + 14365. Determine h(36).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 527.67139618 and -0.155.\nAnswer: 527.51639618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -bb057?\nAnswer: -bb062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*o**2 - 126*o**2 - 2 + 4890*o**3.\nAnswer: 4890*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*t = 5, 3*t = -2*f + 16 - 3. Which is bigger: 2\/917 or f?\nAnswer: 2\/917","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 2724374?\nAnswer: 2724368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434056 (base 7) in base 14?\nAnswer: -5072d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030699 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from kdaarakrraddakrdrar.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023297115 rounded to 4 dps?\nAnswer: -0.0233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32115055897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*y - 2*t + 14, -5*y - t = 127. Suppose -6*m + 2*m - k - 13 = 0, -15 = 3*k. Are y and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**5 - 13*t**4\/4 - 3*t**3 + t**2\/2 + 2*t + 29. Factor w(m).\nAnswer: -(m + 1)**3*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 1.7, 275, 2\/7, 13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125602181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(210)\/sqrt(24))\/(sqrt(7) - (sqrt(7) + sqrt(1008)*2 + sqrt(7) + sqrt(7))).\nAnswer: -sqrt(5)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52*(-4)\/(-8)*4\/(-2). Let r = -52 - a. Are 2\/17 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1499911?\nAnswer: -1\/1499911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -65. Sort -2\/13, v, 0.5, 3 in descending order.\nAnswer: 3, 0.5, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61689?\nAnswer: 3, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - 0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -5, 1920, 0 in decreasing order.\nAnswer: 1920, 3, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6550161 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 151674?\nAnswer: 151712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 33. Let h = w - 21. Let t = -3 + h. Solve 2*z - 25 = 5*z + 2*c, -t*c = 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/4 + -71\/28. Let h = -2.8 - 2.2. What is the nearest to k in h, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 94 = -3*i, 0 = 6*i - w + 8842 - 8600 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 303*g - 573488 - 523675. What is the lowest common multiple of 497 and g?\nAnswer: 25347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 5, g: 8}. What is prob of picking 1 o, 1 g, and 2 y?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2*8\/(-4) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 divided by 11352?\nAnswer: -10\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/18)\/((-4)\/36). Sort q, 2, -5 in ascending order.\nAnswer: -5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -188*t + 7513. Calculate h(40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from mmmiivvm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p**2 - 2*p. Let a be x(-2). Suppose a = v - 3*v + 264. Let k(t) = t + 12. Let z be k(0). What is the greatest common divisor of v and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-1 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662587067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:31 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 4*n - n)*(0*n**3 + n**3 - 6*n**3) + 1771*n**4 - 530*n**2 + 530*n**2 to the form a*n + o*n**4 + h*n**3 + u + l*n**2 and give o.\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219623 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f. Let l(t) = -7*t**2 + 28*t - 56. Let b(s) = s - 2. Let r(d) = 140*b(d) - 5*l(d). What is r(g(n))?\nAnswer: 560*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:31 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*x - 15 = -0*w, 2*w + x - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {c: 6, p: 2, t: 1, i: 3, d: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7715 divided by -3682\nAnswer: -7715\/3682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 19*h - 1. Let b be t(-3). Let r = -31 - b. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2. Let s = 25.4 + -4.4. Let t = s - 22. Put -3, t, l in ascending order.\nAnswer: -3, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3300 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + m**2 + 9*m - 7. Let x be f(3). Let i(h) = 3*h - 2*h - 13*h**2 + h - 2 + 236*h**x. Is i(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 23*w - 91. What is the remainder when 101 is divided by f(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2774 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368583634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -315d + -1509?\nAnswer: -4668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 5*p**2 - 1. Let h be c(-2). Let w(k) = -11*k + 16. What are the prime factors of w(h)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -1 - -12) + (-32 - (17 - 51)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7010707nm?\nAnswer: 0.0000007010707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5\/17 - 2*l**4\/17 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s - 1 = -65*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 7. Let f(i) = -i + 0 + 6 - q. Let y be f(5). Let u(w) = 6*w**3 + w + 1. What is u(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 9*x - 21. Let h be z(6). Let s = 2171\/3 + h. Which is the closest to 1? (a) -4 (b) -0.4 (c) s (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 392 = -23*k. What is k rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 954273.9577 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 21 = -0. Let d be 32\/6 - 8\/(-12). Let v be c\/(-2)*(-40)\/d. What is the greatest common factor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/2 of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = -2*f + 6, -3*f - 15 = -5*v. What is the third derivative of -4*n**6 - 3*n**4 - 10*n**2 + 8*n**2 + v*n**4 wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:17 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 33. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1440*v + 2107*v - 1459*v to f*v + c and give f.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) + sqrt(11))*3 - sqrt(891)*4) + (-5*sqrt(11) + sqrt(11) + -4 + sqrt(11) - 2*sqrt(11)*4))**2.\nAnswer: 88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186*x + 33*x - 18*x)*(-4 - 1 + 4) - 2 + x + 0*x + x.\nAnswer: 173*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 12*k - 16. Let y be b(-10). Suppose -n - 2 = -0, 4 = -y*j - 2*n. Suppose j = -4*f + 5 + 7. Solve f*x + 1 + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665166.\nAnswer: 2, 3, 59, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13936 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212683 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720392 and 28832?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 y when three letters picked without replacement from ydjdppb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(21\/2))\/(d\/(d**27*d*d))*(d**6)**(-49))**(-2\/25) assuming d is positive.\nAnswer: d**(551\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 3*i - 385 = 0, 0 = 3*i + 3. Let s = -272 + f. Let d be (s\/(-15) + -4)*(16 + -1). Solve d = -3*y + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppph when four letters picked without replacement from {p: 3, h: 2, n: 1, d: 4, u: 7}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 17*b**2 - b + 1. Determine m(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1067.079 + 1067. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m**2 + 15*m. Let o(a) = -7*a**2 - 7*a. Let b(z) = 13*o(z) + 6*v(z). Factor b(r).\nAnswer: -r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000033230 (base 4) to base 8\nAnswer: -4001754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-1)\/(-4)). Suppose f*p - 21 = -3*p - 4*l, 14 = 3*p + l. Suppose -y = -p - 2. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((4 - 7) + 1). What is the units digit of ((-10)\/r)\/((-10)\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*t**2 - 4*t**2 - t**2 + 4*t**2 + (0*t - 3*t + t)*(0 + t + 0) - 2*t**2 + 4*t - 4*t + 0*t**2 + 2*t**2 - t**2 + (3*t - 4*t - t)*(-2*t + 2*t - 2*t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Let w = f - -6. Solve -2 = w*n - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*x**4 + 10*x**2 - x**2 - 3*x**3 - x**3 - 2*x + 7*x**3 wrt x?\nAnswer: -144*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 3 - j + j - 3*j to the form z*j + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4413 - 1437. Suppose 0 = 13*q + 3*q - g. What are the prime factors of q?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5692363 is divided by 948663?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*q - 3*q + 215, -3*q = -3*r + 123. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*o = 256*o - 404*o + 1298 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286186545.\nAnswer: 3, 5, 1171, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 5*x + 2*x)*(6*x - x - 4*x)*(13 + 7 - 3) to w*x**2 + k + t*x and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4428)\/(-2952)*(-30)\/9*11?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12) + 17\/15. Which is the nearest to -0.1? (a) -1.4 (b) 1 (c) 3\/4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -553 - -784. Let i = -984474764.4 + 984474533.39999763. Let f = c + i. Round f to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001258338012 to six dps.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -5. Let o(b) = b + 2 + 2 + b - 3. Let x(k) = k**3 + 3*k**2 + 4*k + 1. Let h be x(-3). Let t(w) = 6*w + 3. Calculate f*t(g) + h*o(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4 - 68*n**3 - 558*n**2 - 1228*n - 736 = 0. What is n?\nAnswer: -23, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 9 = -3*i, -6568 = c - 3*i - 6571 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1 - 2 + 5*k + 2. Let d = -22 - -24. What is the units digit of c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2. Let t(f) = 108*f - 3. Let h(i) = 1406*i - 38. Let o(z) = 3*h(z) - 38*t(z). Calculate b(o(w)).\nAnswer: -38988*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 433676883\/790 - 548958. Calculate the common denominator of 67\/1738 and s.\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 8)*(1 - 3980006\/6). What is a rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -1\/2 (c) -1 (d) -1758\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 4*r + 7. Let l be n(5). Suppose 20 - l = 3*p. Let x(a) = a + 15. Let j be x(p). Let f(t) = -5*t - 1. Calculate f(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0699 and -5.\nAnswer: -0.3495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 56\/3. Let b(l) = -l**2 - 9*l - 19. Let t be b(-5). Is a greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 7*a**2 - a + 1. Let l be 136\/20 + 2\/10. Let f be c(l). Let p(z) = -z**3 - 7*z**2 - 6*z. Let w be p(f). Let t(x) = -x. Give t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3cc92c (base 13) to base 16\nAnswer: 16a6f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -6*n**2 + 1\/6*n**5 + 0 + 0*n**3 - 8*n + 0*n**4. Let a(l) = 8*l. Calculate f(a(r)).\nAnswer: 640*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-20\/9)))\/z**8*z**(-2\/45)\/(z**27\/z) assuming z is positive.\nAnswer: z**(-544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/5 - (-17)\/5. Let d be (2\/t)\/((-52)\/(-26)). What is the nearest to -0.2 in d, 4\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g**4 + 0*g + 0 - 1\/60*g**5 + 8*g**2 + 0*g**3. Let c(p) = 6*p**2. Determine 4*b(t) + c(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five quarters of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvvvsu. Give prob of picking 2 u and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 + 1)*(5 - 10*y - 5) in the form t + v*y and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 + 110. What are the prime factors of 195*(-6 - w\/10)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5885*x**2 - 36*x - 49. Let s(b) = 1471*b**2 - 8*b - 11. What is -9*s(m) + 2*t(m)?\nAnswer: -1469*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100108956600147819\/96530 - -1037076106899. Let u = 3\/9653 + g. Calculate the common denominator of -25\/4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*b + 84*b + 30*b**2 - 62*b**2 to g + a*b + k*b**2 and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -3. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**4\/12 - 2*z**2. Let x(s) = -4*s. Determine x(a(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x + 6*x - 7*x)*((-3 - 2 + 6)*(-3 + 3 + 2)*(-1 - 1 + 1) + (4 - 7 + 23)*(-2 + 4 - 3)) in the form q + l*x and give l.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in 0.1, -5\/28, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.7 and 7.5678475043?\nAnswer: 9.2678475043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7765735320 - -3.16.\nAnswer: -7765735316.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/18 and 191\/924?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27971274555 + -1.37.\nAnswer: -27971274556.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25611600 divided by 914700\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*m = -65, 4*y - 3*m + m - 188 = 0. Let j = y - 38. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 equal to 1875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 0?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -21. Let j(q) = -q - 7. Let p be j(r). Suppose -5*x - 4*f + 139 = 0, 2*x + 2*f - 30 - 26 = p. What is the common denominator of 33\/10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5*47750)\/((-2)\/(-160)). Round u to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186 - -188. Let b be (0 - 7\/(-3))\/((-6)\/(-18)). Calculate the highest common factor of b and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0 - 2\/525*b**7 + 0*b**5 + 1\/15*b**4 + 27*b**2 - 1\/75*b**6 + 0*b + 2\/15*b**3. Determine v, given that z(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*v + 230*v - 710 - 604 = 0 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60809797 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-120))\/(97\/((-50828)\/(-917))).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 522, 4, 2 in ascending order.\nAnswer: -2, 2, 4, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - g + 21 = 0, 22 - 16 = -o + 2*g. Let n(h) = -h**2 - 3*h + 3. Let s be n(-4). Let x be (s + 3)\/(3\/6). Solve o*a + x = 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 1119 - 951 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6466859 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, f: 4}. What is prob of sequence fh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 10. Suppose -g*y = -w - 5*y + 2, -y = 3. Calculate the least common multiple of (-1 - -4)*(0 - -1) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-264)\/(-11))\/24)\/59)\/2?\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000244 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2672 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33112 - -220?\nAnswer: -32232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 11*h + 5. Let s(o) = -o**2 - 12*o - 6. Determine -7*j(x) - 6*s(x).\nAnswer: -x**2 - 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 15. Let u(h) = h**2 + h + 17. Let r(d) = -5*p(d) + 4*u(d). Let o(m) = 3*m**2 - m - 5. Let l be ((-1 - -2) + -2)*-7. Determine l*o(n) - 5*r(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/8)*y)\/(y\/((((y*y**(6\/7))\/y)\/y)\/y))*(y\/((y\/(y\/(y**1\/y))*y)\/y)*y*y)**(-11) assuming y is positive.\nAnswer: y**(-1933\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*m - 1 = 0, 0 = -2*f + 5*m + 1 - 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -213, -316, -419, -522?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 19. Suppose 3*r - 4*v - 103 = q, -v + 2 = r - 30. Calculate the remainder when 18\/(-120)*-5 + 1542\/24 is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**2 + 18*v + 12. Let f(h) = 3*h**2 - 6*h - 4. Let q(x) = -11*f(x) - 4*p(x). Let l = -10 - -9. Let o = l - 3. Calculate q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2447140 to the nearest ten thousand.\nAnswer: 2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*r. Let a(n) = -n**2 + 8*n - 8. Let s be a(6). Let f = s + r. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.042? (a) -0.24 (b) -2 (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -8, 14, 44, 82, 128?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/9)\/c**(-1\/4)*(c**(-1\/4))**(-1\/59)*(c**(-2\/25)\/c**(-2\/3))**(-7\/2) assuming c is positive.\nAnswer: c**(-29783\/13275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b, -15 = -2*m - 3*m + 5*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25582876 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 46*z**2 - 87*z + 65. Let d be o(-44). Put d, 5, 10 in decreasing order.\nAnswer: d, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uku when three letters picked without replacement from {u: 2, r: 2, k: 3, t: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 16340955 = -9*r. Let m = r + 1121809. Round m to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:34 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/8))**(-7\/2) assuming o is positive.\nAnswer: o**(7\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoiiiiiibyyyyicio. What is prob of picking 1 o, 1 y, and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(7\/(-21)*3)*(-2)\/(-4). Sort 1, z, -138, -2, -4.\nAnswer: -138, -4, -2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/3)*d))**10\/(d**1*d)**(4\/15))\/((d**(-2\/5)*d)**(1\/14)*(d\/(d\/(d*d**(1\/2))))**(8\/3)) assuming d is positive.\nAnswer: d**(-87\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let m be 50 + 6\/2 + -6. Suppose -t + m = 5*r, 5*t + 3*r - 184 = -15. Let k(b) = t*b + 4*b**2 - 32*b. Calculate o(k(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-56)*(-266)\/228?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4731 and 31\/13281?\nAnswer: 1102323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + 19 + 1 + (-56 - -83)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 6. Let k(l) = 5*l + 7. Let r(h) = 6*h + 8. Let u(s) = -7*k(s) + 6*r(s). Let q(n) = -c(n) - 6*u(n). Let j(a) = -2*a. What is j(q(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6934 (base 13) to base 8\nAnswer: -34632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 3*v. Let m = -89\/2 + 44. Let q be -2 - (6\/8 - 3). Put q, v, m in decreasing order.\nAnswer: v, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 - 57 = -11*u. Sort u, -7, 4, 2.\nAnswer: u, -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4777, 9377, 13979, 18583?\nAnswer: 23189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-15)*z)\/(z**(-13\/4)\/z))\/(z**20*z\/(z*z**(11\/4)*z)))**(19\/3) assuming z is positive.\nAnswer: z**(-494\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/680 and -33\/2201.\nAnswer: 1496680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 less than -29?\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20\/129, -2.\nAnswer: -2, 20\/129, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from nywlwn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 2*h**4 - 2*h**5 - 7*h**5 - h**2 + h**2 + (h**4 + 0*h**4 + h**4)*(h + h + 0*h).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23540?\nAnswer: 2, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -216*y**2 + 5*y + 3. Let x be i(1). Are -212 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlo when three letters picked without replacement from {d: 1, i: 2, u: 1, j: 2, o: 1, l: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + sqrt(5) + 4 + -3 - (sqrt(4860)*1 + sqrt(60))\/sqrt(12).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u**3*y**3 - 66115*u**3*y - 3104*y**2 + 2*y wrt y.\nAnswer: -126*u**3*y - 6208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 2*k**3 + 0*k**3)*(3*k + 2*k + k) + (4 - 4 + 5*k)*(2*k**3 - 2*k**3 + 2*k**3).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.13338 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2478)\/24)\/(1*2\/16). Let u = -447 - o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3950237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 526, 796, 1108, 1474, 1906, 2416, 3016?\nAnswer: 3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.451 * 0.3.\nAnswer: -0.1353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 4*w - 1. Let g be z(4). Let r be (2\/(-74))\/((-14)\/28). Is g > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Suppose 36 = 4*w + 8. Let l(r) = -r - 1. Let c(n) = w*h(n) + 3*l(n). Find the first derivative of c(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 66 = 6. What is the common denominator of 113\/10 and ((-2)\/j)\/(4\/(-162))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w + 54. Let y be l(-21). Let v be y\/(-18) - -4*3\/18. Is -4 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.012 + 0.412. Which is the nearest to 1? (a) r (b) 2\/7 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/16)\/((-4)\/32*-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 + 77*b. Let i(q) = 14*q**2 + 124*q + 1. Let s(r) = 5*i(r) - 8*l(r). Let c be (-2 + 5)*(1 - -2). Let n = c + -5. Calculate s(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*b - 48 + 17*b**2 + 39*b + 22*b wrt b?\nAnswer: 34*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15*m**2 - m. Let f(t) = 18*t - 21. Let y(d) = 16*d - 28. Let g(p) = -4*f(p) + 3*y(p). Determine c(g(x)).\nAnswer: 8640*x**2 + 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 30*m**2 + 29*m + 3. Give b(31).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216086 is divided by 214970?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -52, -55?\n\"Answer: -3*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -2, -4, -0.1, -4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 10156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7508*t - 157815 - 323613 = -3081*t + 6769*t for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 521810333 and 19645.\nAnswer: 521829978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-235)\/201 + 0. Let k = 15539\/2010 - s. Find the common denominator of -33\/8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + 0*l**2)*(-3*l**3 - 3*l**3 + 7*l**3) + 106*l**5 + 47*l**5 - 15*l**5.\nAnswer: 136*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -361*t**2 - 13526720*t + 13526720*t. Let w(f) = -6*f**2. Give w(a(z)).\nAnswer: -781926*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 43 = 3. Calculate the remainder when 23 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 + 2 = 0, -f = d - 88. Calculate the common denominator of (-37)\/(-11) + 1*-1 and (6\/d*-5)\/((-10)\/12).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 7*n - 7*n - 8*n**2 + 1 - 2*n**3 + 14*n in the form p*n**2 + c*n**3 + g + l*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -927 - -1171. Let c = a - 182.1. What is c rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459660363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 13. Put 5, -5, o in decreasing order.\nAnswer: o, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -7 (c) 511804\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 - (-390)\/18) + (-5)\/(-15). Solve 10*c - 8*c + 3*s + b = 0, -3*s = -4*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmmkmmrrxrkcddckdk. What is prob of picking 2 d and 1 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**6)\/((d\/(d\/(d*d**(1\/8))))\/d)*(d**1*d*d)**34)\/(((d**(2\/7)\/d)\/d)**26)**11 assuming d is positive.\nAnswer: d**(33553\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6359*a. Let q(f) = 2*f**2. Calculate q(d(s)).\nAnswer: 80873762*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f - 60 = 14*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 220355?\nAnswer: -220351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-936)\/1443)\/((-26)\/481)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -50*p - 294 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6116993*q**4 - 3*q**2 + 30*q - 48512?\nAnswer: -146807832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2297 in increasing order.\nAnswer: -4, 1, 2297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = 0, i - 15 = 4*y + 4*i. What is the smallest value in 1, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 9*h**2 + 12*h - 1. Let i be v(-7). Let m be i\/65 + (-1)\/(-20). Let y = -12\/13 - -110\/91. Sort 3\/5, y, m, -4\/9 in decreasing order.\nAnswer: 3\/5, y, m, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37135380 + 1?\nAnswer: 37135381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533 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: What is the ten millions digit of 50948990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -45*c**3 - 5*c**2 + 9. Let h(j) = 67*j**3 + 8*j**2 - 14. Determine -5*h(f) - 8*u(f).\nAnswer: 25*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/6, 0.1, -95\/4, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*k - 5. Suppose k*u = 2*u + 332. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 2, 4 in decreasing order.\nAnswer: 6, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*b**3)*(-5*b + 4*b + 10*b) - 3*b**2 - b**4 + 3*b**2 in the form f*b**2 + y + k*b**3 + q*b**4 + o*b and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Suppose d*m - 1 = 3. What is the closest to 2\/5 in m, -2\/3, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(8 - 142\/18))\/(6\/27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 9*h - 82*h)*(-1 + 0 + 3 - 5 + 1 + 0 + 0 + 0 - 2 + 3 - 4 + 0 + 2 + 1 - 4 + (-2 - 2 + 2)*(0 - 4 + 5)).\nAnswer: 640*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143091 or 143088?\nAnswer: 143091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-72*h - 195*h - 45*h + (3 + 2 - 6)*(3*h - 2*h - 3*h) - h + h + 3*h).\nAnswer: 921*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-51)\/9. Suppose 8*v + 2 = 5*v - 4*m, 3*m - 15 = -s*v. Is 64 + (-2)\/v*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534201, 534198, 534195?\nAnswer: 534192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + 2*sqrt(98) + sqrt(98) - (sqrt(98) + 0)*3)**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**2 + 5*o - 5. Let u(f) = f + 6*f**2 + f**2 + 3*f**2 - 6*f**2. Let a be u(1). Let l(j) = -13*j**2 - 7*j + 7. What is a*l(z) + 7*t(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273 + -192. Round z to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2512.62 - -2473. Let a = m + -18.62. Let d = -2.74 - a. Round d to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11731.\nAnswer: 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/(d*d\/(d*(d*d**2)\/d*d))*d*d**3\/d*d**6*d*d)**7 assuming d is positive.\nAnswer: d**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1122409632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7366881148?\nAnswer: 2, 11, 41, 4083637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 273*g + 28. Let a(b) = -122*b - 14. What is 9*a(z) + 4*m(z)?\nAnswer: -6*z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 13 - 11. Let a(r) = 3 - 3*r - 9 + v. Let j(t) = -5*t**2 + 6*t - 6. Let s(w) = w**2 - w + 1. Let y(n) = j(n) + 6*s(n). Give a(y(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 3\/10891, -5, -7, 15\/13?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52\/3 of a hour?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 81\/6 - 0 - (-36)\/24. Let t be 2\/(-6) + 92\/6. What is the highest common divisor of t and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1986606 or 1986628?\nAnswer: 1986606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 60. Suppose 6*v = h + 33. What is the highest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 1.7. Let m = p + 6.5. Let q = m + -3. What is q rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(-3) - (-65)\/160 and -71\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14631*k**3 - 19932*k**3 - 2858*k**3.\nAnswer: -37421*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 7004*x**4 + 14072*x**3 - 83984*x**2 - 280352*x - 224384 = 0. What is x?\nAnswer: -2, 4, 1753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 4:55 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/25 + 2\/10. Suppose 10*v - 60 = 6*v - 3*f, 5*v = 2*f + 52. Solve s = 3*b - v - 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11369*u - 4835*u + 65340 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3 = s + 3*g, -2*s - 2*g = -2. Suppose 0 = -7*t + s*t + 8. Solve 0 = -3*d + t*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h*m**4 - 9224*h*m**3 + h*m**2 + h*m + 1297155*h - 4*m**4 + 7*m**3 - 10*m**2 wrt m.\nAnswer: -144*h*m - 55344*h - 96*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q. Suppose -j + q = -2. Factor 3*f**2 + 0*f**2 - 2*f**j - f**3.\nAnswer: -f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*x - 2, -d + x + 23 = 4*d. Suppose a - d - 1 = 0, 3*i = 2*a + 152. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242080)\/(-128160) - (-1204)\/(-18).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -193, -190, -197, -220, -265?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**3 + 3*s**2 + 3*s - 3. Let x(w) = -95*w**3 + 17*w**2 + 17*w - 17. Let c = -2263 - -2297. What is c*r(n) - 6*x(n)?\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4501280 is divided by 853?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 128*z**2 - 2. Let p(i) = -i - 32. What is x(p(v))?\nAnswer: 128*v**2 + 8192*v + 131070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 31. Which is the closest to 0? (a) l (b) -3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809522 is divided by 5091.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 16 + 0*y + 27\/5*y**5 - 28\/3*y**3 + 0*y**2 + 0*y**4. What is the third derivative of c(a) wrt a?\nAnswer: 648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 24 = 10*k. Suppose 0 = -v + 8 - 3. Factor 5\/2*l**k + 0 + 5\/2*l**2 - v*l.\nAnswer: 5*l*(l - 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55, -62, -73, -88, -107?\n\"Answer: -2*b**2 - b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1484*x**2 + 4*x + 1190 + 138 + 6167*x**2 + 4453*x**2 + 2258*x**2 wrt x.\nAnswer: 22788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -399708793*a**2 - 13185*a + 2727?\nAnswer: -799417586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1625 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 - (1 + (-12)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156*h**6*m**2 - 12*h**3*m**3 - 4*h**2*m**3 + 4*h**2*m - m**3 + 18 wrt h.\nAnswer: 18720*h**3*m**2 - 72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2)*(-1095 + 3183 + 2220)*(0*o + 2*o - 4*o).\nAnswer: 8616*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29882503?\nAnswer: 7, 87121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -4 (c) 8 (d) -3\/5 (e) -22.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -66)*(-4 + 3). Let i = x - 35. Let o = -12 - -20. What is the remainder when i is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -324 + 2635\/8. Let g(x) = 3*x**2 + x + 1. Let f be g(-1). What is the common denominator of (-1)\/f - (-712)\/(-48) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*(y*y**(3\/4))\/y)\/y))**(-8) assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 0 + 15*a + 15*a + 9.\nAnswer: 30*a + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 219912933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t**3 + 11*t**2 + 16*t + 1. Let q(w) = 2*w**3 - 2*w**2 - 3*w. Let r = 3173 - 3171. What is r*o(s) + 11*q(s)?\nAnswer: 2*s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-12.438.\nAnswer: 37.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -5, 0.019, -240.4?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**2 + 5*z - 6. Let p(d) = -9*d**2 + 7*d - 7. Determine -6*n(k) + 5*p(k).\nAnswer: -3*k**2 + 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {c: 5, j: 4, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415640725?\nAnswer: 5, 79, 229, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 0. Let y be -8 + (v - 0) - 0. Let h(j) = j**2 + 7*j + 11. What are the prime factors of h(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -13*n - 21. Let h = -3806 - -3808. Suppose 9 = -0*m - m. Let j(y) = -3*y - 5. Give h*d(k) + m*j(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993683303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5480, -11092, -16706, -22322?\nAnswer: -27940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 - 9*f**2 - 7*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/31)\/((-12)\/(-30)*-5)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-14))**46)**46 assuming t is positive.\nAnswer: t**(-29624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 5*z**2 + 7*z - 12. Let v be a(4). Solve -5*i - 2*b = -2*i - 10, v = i - 3*b - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/19)\/(x\/((x*(x\/(x*x**8))\/x)\/x)))\/(x**0\/x)**(-26) assuming x is positive.\nAnswer: x**(-682\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*b - 23619 - 6125. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, l: 2, b: 2, i: 6}. Give prob of sequence li.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/240 and 3308\/544 - (3 + 4) - -1.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 9*q - 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 + 52?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {q: 5, i: 3, r: 1, p: 3, c: 6}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - (-1*-3*sqrt(190) + sqrt(190))) - sqrt(190))\/(sqrt(40)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)\/(x\/(x*x**(-7)))*(x\/((x*x*x*(((x**9*x)\/x)\/x)\/x)\/x*x))\/(x**4\/x)*(x**(-2\/3)\/(x*x**(-1)))\/(x**(1\/2)*x*x)**(-4\/15) assuming x is positive.\nAnswer: x**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15892 divided by -3973.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 284*r - 4470. Give i(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.025584 != -3\/1331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-36))\/((-123)\/(-2132)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502 (base 7) in base 10?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425105 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1499*o = 487*o - 7887*o - 293*o + 560712 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/9 - (-15)\/((-7410)\/1463).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5767759624?\nAnswer: 2, 11, 19, 41, 84137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(sqrt(320) + sqrt(320) + sqrt(320)*-1) + sqrt(320) - 4*(sqrt(320)*-2 - sqrt(320)))**2 + 3 + -2 + (sqrt(320) - (sqrt(320) + 2))*3*3.\nAnswer: 62698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 321693 divided by -157\nAnswer: -2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1161 and 19350?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 + 34*h**2 + 30*h - 69. Determine f(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 60452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -33*b**3 - 59*b**2 - 107*b + 4. What are the prime factors of i(-7)?\nAnswer: 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 2*p + 3*p**2. Let m(x) = -6*x**2 - 13*x - 13. Let b(z) = -3*z**2 - 6*z - 6. Let y(s) = -13*b(s) + 6*m(s). What is c(y(t))?\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*s + 65 + 395, -5*h - 560 = -2*s. Let v = h - -259. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18063428 to the power of 1\/2, to the nearest integer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 3966.\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807 - 2733 = -80*x - 131*x + 8147 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0537 and 21529.\nAnswer: 1156.1073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75522939.\nAnswer: 3, 97, 109, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.9737 meters to centimeters.\nAnswer: 73897.37","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14975726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) -637 (d) -165411 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -1421?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 - 66 - 100 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l. Let f(o) = -7*o**2 + 6*o + 4. Let u(i) = 50*i**2 - 45*i - 30. Let w(h) = 30*f(h) + 4*u(h). Calculate w(d(k)).\nAnswer: -1000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 143. What is the nearest to 1 in b, -0.3, 1, 0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30840445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017773 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)\/v*v\/(v\/v**(-5)*v))\/(v*v**15*v**(3\/10)) assuming v is positive.\nAnswer: v**(-323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-2)\/sqrt(7))\/(3*sqrt(56)\/sqrt(7)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9992.203 nanometers?\nAnswer: 0.000009992203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 4*f - 24. Let z(q) = 9*q + 5*q**2 + 49 + 6*q**2 - 10*q**2. Let o(x) = -9*w(x) - 4*z(x). What is the first derivative of o(b) wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -830 - -2491\/3. What is the third biggest value in 54, 1\/4, b, -4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 186. Let u(b) = -7*b**2 + 2*b - 2. Let l(i) = 27*i**2 - 9*i + 9. What is j*u(c) + 2*l(c)?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-72)\/(-21)*(-11)\/((-242)\/12089) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**3 + o - 2. Let m be v(-2). Suppose -7*q + m = -3*q. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4732 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*o + 4*u, 4*u - 1 = 7. Suppose -3*a + o = -3*h + 10, h = -3*a + 70. Suppose 4*y - 210 = y. What is the remainder when y is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from jxxxjxxjxjxj?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q + 2. Let v(x) be the third derivative of 11*x**4\/24 - x**3\/2 - 14*x**2. Give 5*j(i) + 3*v(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 157709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l**2 + 3*l - 53. Let z(a) = 20*a**2 - 5*a + 100. What is 5*h(o) + 3*z(o)?\nAnswer: 10*o**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) + 356\/12. Suppose -2*v - 4*s + 28 = 0, -v - 2*s - 3*s = -i. Calculate the smallest common multiple of 22 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3451071 - 3*u + 3451071 + 18*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q - 54*q + 24*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(110) - (4*sqrt(110) + sqrt(110)))*-1)\/(sqrt(10) - (sqrt(10) - sqrt(640)*-5 - sqrt(10))))**2)*-1.\nAnswer: 7429\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(0 - 6))\/((-6)\/126). Determine k, given that 15644*k + a - 15640*k - 8*k**2 - 4*k**3 + 1 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*l**2 - 3153*l - 863472 wrt l?\nAnswer: 10*l - 3153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 534322 and 433?\nAnswer: 534322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 406637946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497 = -5*i + 368. Let p = i + -2615\/7. Which is the closest to -2\/7? (a) -16 (b) -1\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3098 is divided by 311?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140263.7m to micrometers.\nAnswer: 140263700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 7*b + 77. Calculate the remainder when 659 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4752335?\nAnswer: 5, 7, 135781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232623.\nAnswer: 3, 25847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4798778, 9597539, 14396300, 19195061, 23993822, 28792583?\nAnswer: 33591344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z**2 - z + 1. Let l be v(0). Let w be 3 + 0\/(3 + 0)*l. Solve 2*j + 26 = 5*x, w*x - 4*j - 22 = 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - (-2 - -2 - -2). Suppose 0 = -4*z - 1 - l. Let o(s) = 4*s**2 + 4*s + 2. What is the tens digit of o(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i, -1 = -u + 5*i - 28. Let s be 1 - (3\/3)\/(-1). Calculate the lowest common multiple of 4 and (-3)\/u*8 + s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22520497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.890341 milligrams in grams?\nAnswer: 0.005890341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37675454 divided by 6\nAnswer: -18837727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -922 + 929. Let v(a) = a**3 - 7*a**2 + 10. Determine v(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/70 and -7 + (7144\/720 - 3)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/((-54)\/216)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*g + 206*g + 49 = 3*p, 0 = p - g - 13 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v + 659884 = -3*i, -5*v + 1099790 = -5*i. Round i to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 2. Let g = -3 - a. Let m(h) = -4*h**3 - h**2. What is the units digit of m(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 28. Suppose a = 11*s - 7*s - 316. List the prime factors of s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:31 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 6*a**2 + 9*a + 9. Let p be 8 + -8 + -6 + 9. Suppose -p*s - 12 = -4*s - 4*o, -5*s + o + 39 = 0. What is m(s)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 <= -1848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a - 4242 - 3614 - 3583 = -240*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -14. Suppose -q*t = 4*c - 28, -c + 3*c - 42 = 5*t. Calculate the lowest common multiple of c and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9426.3 and -0.49.\nAnswer: 4618.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -30*g**2 + 632*g + 14. Let z(l) = -11*l**2 + 211*l + 5. Give 3*p(q) - 8*z(q).\nAnswer: -2*q**2 + 208*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -827423, -827428, -827433?\n\"Answer: -5*l - 827418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 2e3?\nAnswer: 2de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 8 - 4) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v**2 + v + 279*v**2 - 90*v**2 - v - 92*v**2.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -17.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from {d: 3, f: 4, u: 5}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 6*h + 0*h + 5*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267964 is divided by 66951?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 12. Let i(s) = -437*s - 131. Determine -2*i(c) - 22*n(c).\nAnswer: 852*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -170, -717, -1628, -2903, -4542?\n\"Answer: -182*p**2 - p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 170 = -10*v. What is the lowest common multiple of 55 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 1, m: 3, l: 6}. What is prob of sequence dl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 133.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -58. Let r = -3 + 3. What is the nearest to -1\/2 in t, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 38. Let j = -39 - i. Let m be j\/(-6)*(-6)\/5. Let r(t) = -t**3 - 5*t**2 - 4*t - 6. What is r(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 - 3968*j**3 - 8702*j**2.\nAnswer: 60*j**2 - 23808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**4 - 282*i**2 + 125*i**2 + 138*i**2 + (-i + i**2 + i)*(2*i**2 + 0*i**2 - i**2).\nAnswer: 9*i**4 - 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/62322*-47*(-286)\/(-20) - 518\/72\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 7?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 3, v: 1, k: 4, d: 1, i: 1}. Give prob of picking 1 k and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*y**5 + 148050*y**4 + 885963*y**3 + 714312*y**2 - 141756*y - 118080 = 0. What is y?\nAnswer: -1968, -5, -1, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -2 - (18 - 12)) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -2\/5, 2, -0.1, -20\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3\/3 + 6*n**2 + 12*n + 281. Calculate a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Solve x*p = -2 - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*r = -11310, 5*h + 5*r - 6*r - 11298 = 0. List the prime factors of h.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/3 + 864*m + 2588\/3.\nAnswer: 4*(m + 1)*(m + 647)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 45.79265 millennia?\nAnswer: 457.9265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 + 3*r + 2. Let s be y(3). Let q(c) = 3*c**2 + 2 - s - c**2. Let z(k) = k. Let m(x) = x. Let p(h) = -2*m(h) + 3*z(h). What is p(q(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:35 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.5085 - 0.2285. Let u = 84.751 - r. Let h = -0.071 + u. What is h rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 26. Let o be j(28). Let b(n) = n. Let k(h) = h. Determine o*k(d) + b(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 57.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 8?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/37, 0.1, -0.0983, 64?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 4. Let z(d) = 13*d + 16. Let a(q) = -9*l(q) - 2*z(q). Determine a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5. Let q(d) be the first derivative of d**3\/3 - 4*d - 4694. What is -4*k(x) - 5*q(x)?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9361d (base 14) to base 10.\nAnswer: -13800779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 * 0.1\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 46*w - 388. Give x(0).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14899 - 10064. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1542 - 969 = 93*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/79 in -198, 4, 0.1, -1\/11, 3\/22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141276 and 423706.\nAnswer: 490651548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1198*z + 557*z + 619*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2475)\/(-35) - (-2)\/7. Suppose 4*d + i = 5*h - 2*h, 0 = -3*h + d + 65. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22\/39 + 3\/13. Let z(d) = -d**3 + 2*d**2 + 4*d - 4. Let q = 7 + -4. Let w be z(q). Is w at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-46)\/44)\/(3\/(-12)). What is the nearest to 0.3 in -0.3, -11, -3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.8 - 0.6.\nAnswer: 36.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*h + 41. Calculate the highest common factor of 14 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 3*u - 4. Let t(w) = -3 - 8 - 3*w**2 + 8*w + 0*w**2. Let o = -43 - -39. Let b(y) = o*t(y) + 11*q(y). Suppose b(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 less than -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -278*y + 2*y**3 - 18 - 3 - 2*y**2 + 140*y - y**3 + 137*y to the form d*y**2 + t + j*y**3 + n*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 + w. Let n = -5 - -1. Let t = n - -5. Let y be p(t). Sort -1, -2, y in ascending order.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 11*x + 2. Let t be 1 + (3 - 0\/1). Suppose -3*r + 37 = 4*w, -r - 9 = -t*w - 0*w. Solve -2*f = -r*f + 5*y - 20, x*f = -4*y - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-10))\/(87\/15 - 6). Let f(l) = 17*l - 1. Let d be f(1). Solve i*g - d = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2809901 decades to years.\nAnswer: 2.809901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 12) to base 4.\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10920 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252*n**3*p**2 + 5*n**3*p - 2*n**3 + 18*n - 132*p**3 - 130 wrt p.\nAnswer: -504*n**3 - 792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298.69 - 290.69. What is the nearest to -2 in -0.5, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/20 - d**4 + 5*d**3\/3 + 8*d**2 - 23*d + 1. Let s be o(11). Let w(k) = 4*k - 2. What is w(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 18*j + 16. Let o be s(-1). Let a be 3*(-5)\/(60\/o). Let g(f) = -f**2 - f. Let w(m) = 2*m**2 - 4*m. What is a*g(z) + w(z)?\nAnswer: z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - y**2 - 7 - 44*y**3 + 5*y**3 - 3*y**3 + 76*y + 40*y**3 to o*y + i + c*y**2 + u*y**3 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5720*l**2 - 7267*l wrt l?\nAnswer: 11440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 - 79*p - 24. Give q(-19).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-4)*(-7028)\/(-21). Let u = -1547\/2 - m. Let a = 2231 + u. What is the common denominator of a and 55\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -48*(-3 + 30\/(-12)). Let z = 368 - s. What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d**3*z + 123*d**3 + 43*d**2 + 4*d + 4046*z**4 wrt z?\nAnswer: 4*d**3 + 16184*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 570*r - 8. Let i be k(6). Let y = i + -75089\/22. Let j = 237577\/14 + -16977. Find the common denominator of j and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116683299.\nAnswer: 3, 12964811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**3\/2 - 5*k**2\/2 - 2*k - 3. Let b(r) be the first derivative of f(r). Differentiate b(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 11773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2\/2 - 3588*f - 1779573\/2 = 0. What is f?\nAnswer: -2111, -281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 6*r - 5*y = 777, 0 = -2*y + 6. Suppose -180*f - r = -184*f. What is the lowest common multiple of 6 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -11033331220?\nAnswer: 11033331210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12)*-1)\/((-360)\/(-324))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*d**2 - 204*d - 19*d**2 + 99*d wrt d.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 1051\/9. Let t = -0.22 + -0.28. What is the biggest value in t, -8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2129476 is divided by 766.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6140797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54176, 54177, 54272, 54509, 54936?\n\"Answer: 8*c**3 - c**2 - 52*c + 54221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 9*i**2 + 5*i - 22. Suppose r - 3*r - 16 = 0. Let t be a(r). Solve -t*q - 3*q = 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -5*n**8\/168 + n**4\/3 + n**2 + 4. Let y(w) be the second derivative of p(w). Find the second derivative of y(k) wrt k.\nAnswer: -200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 - 321810*h**2 + 4827825*h = 0.\nAnswer: -107285, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 925*o - 311*o - 307*o - 313*o - 2 - 2. Suppose -18 + 6 = -3*m. Let b(c) = -5*c - 4. What is m*w(i) - 5*b(i)?\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 + -6 + (1066 - 1086).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + p)*(5*p**2 - 6*p**2 - 4*p**2) - p**2 + p**2 - p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 7. Suppose -2*k + 21 = u - 45, u - 69 = k. Suppose 0 = -2*q - 2*m + 144, -4*m = q - m - u. What is the remainder when q is divided by w(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t + 2*v + 18, 5*v + 20 = 0. Let c(i) = -i**3 + 14*i**2 - i + 34. Let b be c(14). Suppose 43*j = 38*j + b. Solve -t*f + j*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbssysbsbb. What is prob of sequence ys?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 8:08 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000424 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 3. Let j(s) = -s - 1. Let r(g) be the second derivative of -14*g**3 - 34*g**2 - g + 6. Let w(k) = -16*j(k) + r(k). Give -104*l(m) - 6*w(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 7*j + 1. Let g = 248 + -245. Let q(a) = a**2 - 22*a + 63. What is the lowest common multiple of z(-6) and q(g)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**2 + 4. Let x(v) be the second derivative of -5*v**3\/2 + 3956*v. What is w(x(c))?\nAnswer: 1575*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**3 - 86*n**2 - 36*n + 291. Calculate b(13).\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4099544207 take away -3?\nAnswer: 4099544210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50371952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 28*y**2 - 27*y + 64. Let x(r) = r**3 + r. Let w(a) = -v(a) + 5*x(a). Solve w(m) = 0 for m.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -108. Let k be (1 + 5)*(-2)\/(-3). Let r = x - k. Which is smaller: r or -1\/30?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132*f**3*o + 157*f**3 - f**2*o**2 - 2*f wrt o.\nAnswer: -132*f**3 - 2*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 10527\nAnswer: -1\/10527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*k = 5*k + 15, -4*o = 3*k + 13. Let j be -1 + (o - (-3 - 2)). Suppose j = 3*r - 42 - 39. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:30 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 431*k + 3932. What is the remainder when y(-8) is divided by 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from kckckckkkgkkckgkru?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 38*g - 9. Let h be 4\/6 + (-84)\/(-9). Let w be u(h). Suppose w = 60*f - 59*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -2 + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + t. Let l(n) = n**2 - 2*n. Let q(d) = -d. Let x(a) = l(a) - 3*q(a). Let u = -249 - -248. Give u*x(r) + h(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 1, y: 1, s: 2}. Give prob of sequence ees.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/8))**(-3\/23))**(-15) assuming n is positive.\nAnswer: n**(-135\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**3 - 6*d + 3 + 0 + 5*d**2 - 4*d**3. Let z(u) = -2*u - 6*u + 5 - 3 - 1 + u**2. Let g be z(7). Determine t(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -24. Let m be z + (0 - (0 - (-1 - -3))). What is the tens digit of (m\/(-6) - 2)\/(2\/776)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 10:43 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + v - 4. Let f(m) = m**2 - 2. Let t be f(2). Let o be p(t). What is the biggest value in -5, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-13))\/(-2*(-2)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1431)\/(-371)*((-8)\/16)\/(9\/(-6))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Let z be (37 - 1)\/(-2 + 3). Suppose 5*m = 3*m + z. Solve -s + 10 = -a*w, m = -2*w - w - 3*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**3 - 3*u**2 - 18*u - 4. Let a(x) = -x**3 - 21*x**2 - 36*x + 45. Let k be a(-19). Is q(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let i(b) = -2*b - 1. Suppose 5*l = 2*g + 28, 3*g - 5*l + 32 = -0*g. Let y(t) = g*i(t) - 10*m(t). Is y(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2215 - -2232. Solve -5*a + 11 = -2*c, -16*a - f = -21*a + 4*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 883.5 + -20264520.\nAnswer: -20263636.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/2 + -4. Let s = -9681.9 - -9682. What is the second biggest value in i, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-232)\/(-6))\/(109\/327) and 58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 20*x - 28. Let w(l) = l - 1. Let g(r) = s(r) - 16*w(r). Let h(j) be the first derivative of -j**2 - 1. Give h(g(f)).\nAnswer: -8*f + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, d: 4, n: 1}. Give prob of picking 2 d, 1 n, and 1 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 4760885.\nAnswer: 1428265.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -b0?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, f: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 564.8 - 565. Which is the nearest to -2\/3? (a) -6 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 1. Let x(l) = -9*l. What is 2*b(n) - 2*x(n)?\nAnswer: 16*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178380851.9979 - -178361522. Let w = d + 19317. Let z = -13 - w. Round z to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.13 + -9.63. Which is the biggest value? (a) -1\/4 (b) s (c) -56\/11 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 j when four letters picked without replacement from jcjcnnjjijnjjjcin?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -236 - -2?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 167284, 167680, 168076?\n\"Answer: 396*f + 166888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210219 - 131132. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 50 = 150. Suppose l + n = 2*i, 3*l = 5*l - 8. What is the lowest common multiple of 10 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*b - 76, -53*g + 51*g + 3*b + 33 = 0. Solve g*f + f = 76 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p - 5*p - 3*p + (0 + 1 + 1)*(0*p + 3*p - 2*p) + 0*p - p - p + 4*p - 3*p - 3*p + (-p + 2*p + 0*p)*(1 - 2 + 0).\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Suppose 0 = -m*o + 50 + 15. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 3876*r + 270396.\nAnswer: 3*(r + 74)*(r + 1218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j**4\/7 - 294260*j**3\/7 + 5039644*j**2\/7 - 279072*j\/7 = 0.\nAnswer: -4104, 0, 1\/18, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7797 - 743 = -5*i. Suppose -s + 1722 = -4*w, s + 4*w - w = i. What are the prime factors of s?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17337 - 17345.089. Round a to one decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and -1311\/80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 197058\/13 < 15157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (78\/(-24))\/13 - (-853)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*w**2 + 30*w**2 - 6 + 17 - 14*w**2 - 2*w as z + q*w + h*w**2 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27875711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17961*g**6 + 207*g**5 - g**3 + 195347683*g**2 wrt g.\nAnswer: 2155320*g**3 + 12420*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/34913 and -76\/3.\nAnswer: 104739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5552 is divided by 551.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 4*t**2 - 5*t + 6. Let g be -6 + -9*2\/(-6). Let a(m) = 3*m**2 + 4*m - 5. Calculate g*c(i) - 4*a(i).\nAnswer: 3*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*k + 27*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 66*k**2 - 12*k - 5. What is the thousands digit of g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24841091 is divided by 24841091.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v**2. Let k(p) = 7*p + 6. Let o(w) = w + 1. Let f(i) = k(i) - 6*o(i). Give f(x(c)).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3825)\/4590)\/(110\/4)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3540 - 3548. Let f(s) = s**2 - 6*s + 8. Let q(b) = -1. Let c(d) = f(d) + 3*q(d). What is the hundreds digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -889, -887, -885, -883, -881, -879?\n\"Answer: 2*l - 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 19*d - 32. Suppose u = 4*u - 5*v + 31, -2*v = 8. Let k be z(u). Solve w - k*w = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 31 = -5*t, -5*c + 10*c = -2*t - 20. Let b be (-4)\/8 - (-6)\/4. Let o be 1\/((3\/c)\/b) - -47. Calculate the highest common factor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-102))\/((-6)\/(-8)). Let s = 0.3 + 0. Let t = s + -0.5. Which is the nearest to 0? (a) -2 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -17. Let x = 265 - k. Suppose 6*d - x = 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25483 + -25478.99456. Let a = -4 + w. Round a to 4 dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -0.05, -15, 35.\nAnswer: -15, -2\/23, -0.05, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 3822*b**2 + b + 8. Let w(q) = -14*q**3 + 22929*q**2 + 6*q + 52. Give -2*w(l) + 13*y(l).\nAnswer: 2*l**3 + 3828*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.1 + -29.9. Let f = b - -123.999941. Round f to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281 - -281. Suppose -27*u + 42*u - 1215 = n. Calculate the remainder when 888 is divided by u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 11*t**2 + 9*t - 1. Suppose 12*y = 14*y + 20. What is f(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*m + 9 - 36 = 0, 2*m + 14 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/(-1*2). Let n be (1 - (-18)\/(-4))\/(2\/(-4)). Suppose -25 = -n*o - 4. Sort r, -4, o in ascending order.\nAnswer: -4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 604183*f*v**2 - 550628*f with respect to v.\nAnswer: 1208366*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c - 322132 - 279148 = 36*c. List the prime factors of c.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1.18\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 5*g - g - 3*g to the form u + f*g**3 + x*g**2 + w*g and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -32. Put l, -4, 0, -2 in increasing order.\nAnswer: l, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b1ba7 + -b2?\nAnswer: -1b2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 15?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0238902796 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-25 + 25 + 11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 839a (base 16) to base 5\nAnswer: 2034230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/972 + -17975\/6804. Let t = -6910193\/778 + 8882. Let o = 6411\/1945 + t. Calculate the common denominator of o and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*p - 5*j - 28, -12 = -3*p - 3*j. Let s be (-9 - p\/(-1) - -67)\/(-2). Suppose 0 = 2*f + 10 - 0, -2*f = -3*k + 22. Sort k, -5, 1, s.\nAnswer: s, -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*d + d - 356, 5*t + 354 = -2*d. Let p = -34 - t. What is the second derivative of 7*l + 2 - 5*l - p*l**3 - 2 wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -153, -270, -419, -594?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006892962 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21 at least as big as -816574.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (989\/(-46) + 5)*2*(-2)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975894461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 140485*n - 70242*n - 2*n**2 - 70242*n - 33 as v + r*n**2 + m*n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)\/d*d)\/((d\/d**(-6)*d)\/d)*(d*(d*(d\/d**(-7))\/d*d)\/d*d)\/((d*d**0)\/d))\/((d\/(d*d**(-6)))\/d**(1\/7))**21 assuming d is positive.\nAnswer: d**(-479\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((342\/19)\/3)\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 499370 = 5*r, 134*s - 130*s = 3*r - 299633. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 h when four letters picked without replacement from ohohyhohhyo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z + 34*z - 73*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13202102 - -233?\nAnswer: 13202335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.684 + 8.476. What is j rounded to 1 dp?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -24. Which is the smallest value? (a) q (b) 33 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344403, 1377623, 3099657, 5510505, 8610167, 12398643, 16875933?\nAnswer: 22042037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 1\/4, -0.5, 36, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -4 + 8 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97.8 or 8\/19923?\nAnswer: -97.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6391 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3171930 is divided by 3171920.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3920166 to the nearest integer?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/12 + 87*t. Let h(p) = -261*p. Calculate h(x(a)).\nAnswer: -261*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 3. Suppose n + 7 + 1 = 0. Let b = n + 6. Calculate x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 596, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9189072 divided by -2297268\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -36. Suppose -z = -2*z - k + 3, -3*z + h = 2*k. Suppose z*l - 1265 = -5*x + l, 2*x = 5*l + 534. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/9? (a) 1 (b) -0.3 (c) 2\/335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*w**2\/5 + 76*w\/5 + 2\/5 = 0 for w.\nAnswer: -1, -1\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -882926*i**2*j**2 + 2290*i**2*j + 39*j wrt j?\nAnswer: -1765852*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - 4\/(-3))*27 is divided by (12\/8)\/((-27)\/(-180)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnqsnn. Give prob of picking 2 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + ((sqrt(84) + sqrt(84)*-3 - sqrt(84)) + sqrt(84))*4)\/(sqrt(972)*-3).\nAnswer: 7*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - k + 261 = 0, 4*i - 35*k + 40*k - 1045 = 0. Calculate the highest common factor of i and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4 + 4 + 3*b**2. Let d(v) = -v**2 + 4*v + 7. Let z be d(5). Let p(g) = -8 - 2*g**z + 8. Calculate i(p(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 4*k - 9 = -13*z, 4*z + 5*k = -12. Put z, 0, 25 in increasing order.\nAnswer: z, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 b when four letters picked without replacement from {u: 4, s: 1, e: 1, b: 4, d: 1}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 3*o**2 - 10 + 0*o**2)*(2 - 3 - 1).\nAnswer: -6*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 + (-52)\/(-5). Solve 21*g - b = 16*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3.51, -0.5, 54, 3, -110.\nAnswer: -110, -3.51, -0.5, 0.4, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -101?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-7 - 10 - 30)*(0*l + 16*l - 5*l).\nAnswer: 1551*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*p - 15 = -109*p - 0*r - 2*r, 6*p + 34*r - 297 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 1\/3*w**3 - 2 + 3*w - 4*w**2. Let k be x(8). Solve -1 = k*t + y + 2, -2 = -5*t - 4*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmev when four letters picked without replacement from {m: 3, e: 3, z: 1, v: 1, c: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175) - (-3*sqrt(175))**2)*2*-1.\nAnswer: -10*sqrt(7) + 3154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4398 - -13631. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppdp when four letters picked without replacement from {p: 7, d: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8666 - 8661. Which is the smallest value? (a) 2 (b) 66\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/27))**(-7\/6)\/(f**(3\/7)*f**3\/f) assuming f is positive.\nAnswer: f**(-3979\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*s + 2*s - a, -3*a = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 62260*o - 2172975.\nAnswer: -5*(o + 35)*(o + 12417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.5 - -9.2. Let k = -27 - l. Let v = 3.3 - k. Which is the nearest to -1? (a) 5 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 - 6*s + 3. Let f be o(5). Let g = -9 - -13. Let u(c) = g - 1 - 2 + 2*c + 0. Give u(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a + 23. Let d be c(7). Do d and 47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*j**2 + 3 - 1822*j**2 - 1390*j**2 + 10*j**2.\nAnswer: -3755*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {r: 2, n: 1, f: 1, p: 1, k: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-5 - -1) + 16) - -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.071 - -28.971. Let j = 28.5 - s. Which is the third smallest value? (a) 80 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + u - 0*u - 19, -252*u + 7329 = 3*c - 47*u + 128*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000110000 (base 2) in base 16?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 233 - -5?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 1, u: 2, s: 2, b: 1}. Give prob of picking 1 u, 1 z, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36485 and 124049?\nAnswer: 620245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-181)\/(-4) + (-113)\/452. What is the second smallest value in 3\/7, 1\/10, -5\/4, x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -98. Suppose 3*g - 3*u - 39 = 0, 3*g + 18 = -4*u - 20. Sort x, g, 7.\nAnswer: x, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1178 <= 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 7.84877.\nAnswer: 3.924385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973229 at least 10973231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 16\/36) + -3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 + 8*o**2 + 6*o. Suppose 40*l + 227 = 166*l - 529. Let r(w) = 4*w**3 - 7*w**2 - 5*w. What is l*r(n) + 5*h(n)?\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/396 and -155\/162162.\nAnswer: 324324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6858 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 258\/(-13) - (-4)\/(-26). Let j = 46 + u. What is the smallest common multiple of 18 and j?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/32)\/f**(-2)*(f*f**(-2\/29))\/(f*f**8) assuming f is positive.\nAnswer: f**(-5661\/928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -8*w - 448. What is the smallest common multiple of w and (5 + 8 + -27)*-1?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 486*d**2 - 237*d - 2243. Let h be y(-10). Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppqzqppzrzppzzpzq. Give prob of sequence qz.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5957*b - 529720 = -1505*b + 492*b for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {r: 13, g: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363758447 to the nearest integer?\nAnswer: 19072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m**(-7\/2))\/(m\/(m\/(m**(-1\/4)*m)))**(1\/32) assuming m is positive.\nAnswer: m**(-1219\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5261256 divided by -1287.\nAnswer: -4088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 74*z - 78*z + 96, -2*z - 2*p = -42. Solve z*t + 63 = 32*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -40. Which is the second biggest value? (a) y (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8530)\/700 - (-2)\/7 and -121\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16856*0.01\nAnswer: -168.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*w**3 + 190*w**3 - 119*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7248, 14557, 21872, 29193, 36520, 43853, 51192?\n\"Answer: 3*h**2 + 7300*h - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2. Let m(b) = -4*b + 9. Give s(m(t)).\nAnswer: -96*t**2 + 432*t - 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5880 (b) -1\/15 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23\/2470 + 5751\/17290. Calculate the common denominator of 59\/114 and o.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(44)\/sqrt(4))**2 + (sqrt(110)*1)\/sqrt(10))*2.\nAnswer: 2*sqrt(11) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, r: 2, o: 2, y: 2, g: 4}. Give prob of sequence ox.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1500992 divided by 8.\nAnswer: -187624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p + 62. Let q(z) = 3*z - 3. Determine -i(f) + 3*q(f).\nAnswer: -f - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -653*v**3 - v**2 - 6*v - 2. Let m be i(-1). What is the highest common divisor of m and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500042674089 less than -1.77?\nAnswer: -500042674090.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 636133 + 102?\nAnswer: 636235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*m - 315 + 315)*(-m - 3 + 3 + (4 + 0 - 7)*(-3*m - m + 0*m)) as b*m + l + i*m**2 and give i.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -25 - 55. Let l be (z\/(-4))\/((-19)\/38). Sort l, -17, 0.\nAnswer: -17, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 6*m**2 + 8*m**2 - 52*m - 8*m + 2*m**3 as d*m + r + w*m**3 + i*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t - 2. Let w = -1 + -19. Let f = -17 - w. Let l be i(f). Solve l - 6 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x + 184 = -50*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 23. Let g be s(-14). Let d = 83 - g. Suppose d = 5*w + 7. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - 2*h**2)*(9*h**2 - 2*h**2 + 36*h**2)*(6 - 2 + 2) to the form t + u*h**2 + f*h**4 + z*h + m*h**3 and give f.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-4 - -7) - -5. Let f = -825\/4 + 209. Is f at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 919236?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2106\/7 + 302. Let n = -152.1 - -152. Which is the third biggest value? (a) 1\/2 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3 - 2*o**3 + 6*o**3 + 2*o**3 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1646*l - 916782. What is k(-557)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 18 = -2*c, 1 = -2*q - 3*c - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1273*v**5 + v**3 - 87*v**2 - 17362245*v?\nAnswer: 25460*v**3 + 6*v - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3 + 20*n**2 - n - 20 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177\/22*(2 - 0).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21114, 21137, 21178, 21243, 21338, 21469, 21642?\n\"Answer: m**3 + 3*m**2 + 7*m + 21103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jffj when four letters picked without replacement from {f: 3, l: 4, c: 2, j: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + 0.17024. What is h rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.143 - 3.143. Which is the nearest to 2? (a) o (b) 2\/13 (c) 0.137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4*3 - 11160\/2015) + 10421\/(-22100)?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(20)\/sqrt(4))*-4.\nAnswer: -20 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 293 or -2326?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 2696064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7541.8709 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1260*c**2 + 108361*c + 88. Calculate k(-86).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1.3, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 62 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 158310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 327. Let u be v(49). Calculate the highest common factor of 80 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -84 + 1\/2*r**2 + 2\/3*r**3 + 2*r. Determine p(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 20*j**2 + 1 + 170979*j - 106*j**4 - 170981*j + 1 to the form r*j + o*j**4 + a*j**2 + f*j**3 + t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/29 and 47\/8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4, -5, 4, -26, -2 in ascending order.\nAnswer: -26, -5, -4, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 - 52*x + 5*x**3 - 59*x + 111*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26704.47 minus 3?\nAnswer: -26707.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2. Let m(z) = 569*z**2 - 5*z. Determine m(b(d)).\nAnswer: 5121*d**4 - 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.917 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 55 - 7. Find the second derivative of 129*h - 20 + 20 - 2*h**4 - h**f + h**2 wrt h.\nAnswer: -36*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 + z + 41. Let c(u) = -5*u**3 + 49*u**2 + 62 - 49*u**2 + 2*u. Let y(k) = -5*c(k) + 8*s(k). Does 11 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5680*l + 6041. What is b(-1)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 = -5*o + 2, 0 = 5*o + 3*y + 5. Suppose -5*z + 245 = o*x - 131, -154 = -2*z - 2*x. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 - 4)) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -3 - 3 - -9. Suppose 4*f + y + 1 = 0, 5*z = 5*f + 55. Suppose -3*h + z = -9. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -f + 35. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - w**2 - 2*w - 1. Let n be f(-1). Let l(o) = 3 + o**n - 2*o + 5*o**2 + 4*o - 2*o**2. What is the units digit of l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0) + 3 + -3. Suppose l*h + 15 = 55. Solve 3*g - 13 = z, 4*z + 3*g - 3 = h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160467\/573020 + -6\/4093. Let d = -4505\/273 - 16054303\/4368. Let a = d - -3696. What is the common denominator of n and a?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**8\/280 + 6*f**7\/175 - 2*f**6\/25 - 154*f**2. Factor v(x).\nAnswer: -6*x**3*(x - 4)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**3 + 2*m**2 + m - 2. Let r be g(1). Solve 2*x = -2*x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 7*s + 8. Suppose -257 = -u - 2*u + 5*r, 250 = 3*u + s*r. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -827*q + 811. Give y(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8*a + 1716 = 0. What is the highest common factor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2.19 (b) 2\/273 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 503 = -480. What are the prime factors of k?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4008 + -3952. What is the lowest common multiple of 616 and g?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 163d?\nAnswer: -163d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(4\/(8\/(-3))). Let a = g - -5. Let z(b) be the second derivative of -b**3\/3 - 2*b**2 - 5*b. Calculate z(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 215321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = f, -f - 4*x = -5*x + 1. What is the first derivative of -2*t + f - t - 2*t - 4 wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19 + 0.07. Round m to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 605*r**4 + 310*r**2 - 95*r**2 - 7047*r**3 + 7047*r**3 wrt r?\nAnswer: 14520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3044*w**4 - 3077*w**4 + 2*w + 6*w**2 + 28*w**2 to the form j*w**3 + u + o*w**2 + f*w**4 + m*w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-18)\/(((k\/k**(-8))\/k)\/(((k*k**6\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*2)\/((-2)\/(-3)). Suppose -4*p - p = -15. Suppose -3*c = -4*g - 9, c = 3*g - 3*c + 12. Solve -p*a = -y - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + adb56?\nAnswer: adb5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*c - 274 = -c, 239 = t - 4*c. Suppose 2*n = 3*o - 224, -2*o - o - 5*n + t = 0. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -163371.\nAnswer: 816855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.1, -3, 1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*x - 518, 3*x - v + 151 = 542. Let k(f) = f**2 - f + 3. Let l be k(-12). Let r = l - x. Solve -s = -5*t + r, -2*t + s + 3*s + 26 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -100212021?\nAnswer: -100212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + 2 + 6*b**3 + 55*b + b**2 - 52*b as g*b + f*b**3 + i*b**2 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2252 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153920 - 93311. List the prime factors of u.\nAnswer: 3, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93028, 92872, 92612, 92248, 91780, 91208, 90532?\nAnswer: 89752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, -1\/5, 3, 7\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39946723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1)\/((-10)\/30). What is the nearest to 1 in -0.3, a, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -7)*1\/2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdlddddld. Give prob of sequence dll.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36086626.84 rounded to the nearest 1000?\nAnswer: 36087000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 0*z**5 + 3*z**5 - z**5 - 2*z**5 + 2*z**5 + (z - 2*z**5 - z + (0*z**2 - z**2 - 3*z**2)*(-2*z**3 - z**2 + z**2))*(1 - 1 + 1).\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-4)\/6*(-189)\/168?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + u - 2 = 2*u, -2*a + 4*u + 4 = 0. Suppose 8 = v - 0*v + j, 2 = a*j. Suppose 4847 = v*z - 4764. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -1236. Let v = -180 + l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8507496 nanograms to grams.\nAnswer: 0.0000000008507496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -435034 (base 7) in base 12?\nAnswer: -380b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + d + 1 - 2, 2*r = -5*d - 10. Solve 0 = r*u - 2 - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15173*d**5*k + 25*d*k + d + 2*k + 81 wrt d?\nAnswer: 303460*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 6 - 1 = -2*j, 0 = -32*j + f + 528 + 109 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 16 = -c - 4*c, -4*u = -3*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*f + 309 = -443, 4*g = 3*f + 961. What is the smallest common multiple of g and 10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1 - 2 + 0 + 7*m - 3 - 10. Let k be b(2). Is -6\/11 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/90 + 16 + (-1092)\/70\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n**3*n*n**(-6\/13)*n*(n*n**3)\/(n\/((n*n\/n**(-12))\/n)*n) assuming n is positive.\nAnswer: n**(293\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let t(k) = k + 167. Let z(i) = 3*i + 334. Let h(r) = -5*t(r) + 2*z(r). Determine m(h(g)).\nAnswer: 2*g - 334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2 - 552*g + 15984 = 0.\nAnswer: 36, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w**2 - 39*w - 6. Let r(i) = 18*i**2 + 44*i + 7. What is 6*n(j) + 5*r(j)?\nAnswer: -30*j**2 - 14*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501693241.\nAnswer: 1501693241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3979998939 and 0.0404.\nAnswer: 3979998939.0404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64299 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from eaeaaaaaaea.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/31 in -2\/5, 5, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from xxkkkkkkkkxkkxkkkxkk.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 75*y**3 - 3*y**2 - 18*y. Let a(m) = -25*m**3 + m**2 + 6*m. Give -7*a(r) - 2*j(r).\nAnswer: 25*r**3 - r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, 835153 in ascending order.\nAnswer: 3, 22, 835153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4308 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 821 - 711. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 3*v - 1. Let n be y(-3). Let i be -15*n*(-4)\/(-6). Let a = 24 + i. Solve -5*l - 9 = -a, -5*l = -3*d - 37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*v - 170*v + 65*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 = -4*y, 24 = 5*y + 4. Let d be (27\/9)\/((-19)\/(-8) + -2). Suppose d*i - 5*i - 126 = k. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 + 32*v**3\/3 + 98*v**2\/3 - 44*v.\nAnswer: 2*v*(v - 1)*(v + 6)*(v + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*p**3*u**3 + 10*p**3*u + 51*p**2*u**5 + 1377*p**2*u**2 wrt u.\nAnswer: -198*p**3 + 3060*p**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnyhyynhyhhhhyhhhh. Give prob of picking 2 h.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*t + 27 = -5*n, 5*t = 5*n - 105. What are the prime factors of (t\/(-2))\/(10\/40)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 36701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 206*w**2 + 973*w + 33326. What is s(-202)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 8 = 5*x. Suppose 203 = x*p + p. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351977*p - 156458*p - 1773526*p + 931542*p.\nAnswer: -2350419*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t - 14. Let y be g(-4). Suppose y*h - 187 = 17. Suppose 4*r - h - 82 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + r**2 - 6*r**2)*(-4*r + r - r)*(0*r + r + 0*r - 2).\nAnswer: 8*r**4 - 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**7\/140 + 3*j**6\/80 + j**5\/40 - 3*j**4\/16 - j**3\/2 - 7*j**2. Factor u(x).\nAnswer: 3*(x - 1)*(x + 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/308 and 37\/812?\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/7676 and -73\/156?\nAnswer: 299364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*c + 60336 = 0, -30080 = -4*t - 3*c + 18221. Is t a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -519\/4000 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*j - 3, -3174 = -2*u + 2*j. What is the greatest common factor of u and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4560581l?\nAnswer: 456.0581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340 - -388. Suppose 778*d - g = 772*d. Solve 0*x = -d*x - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k. Let u be (-1)\/4 - (-141)\/(-12). Suppose -m + 73 + 5 = -y, -m = 2*y + 147. Let b be y\/(-5)*4\/u. Let a(c) = -4*c. What is b*z(p) + 4*a(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27\/3 + -3 - 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679 a factor of 1149384527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 118 - 10 = 0. Suppose -3*t = u - 21, 5*t - 3*u + 2*u - d = 0. What is the smallest common multiple of -6*2\/15*(-15)\/3 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65430 - -2?\nAnswer: 65432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*b + b + 19, -2*k = -3*b - 5. Let u(r) = -2*r**2 + 305*r - 6169. Let n be u(24). Put k, n, 1 in increasing order.\nAnswer: n, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1256225322 + -11?\nAnswer: 1256225311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and ((-27)\/(-6))\/((-2)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwwjnndfwj. What is prob of picking 1 d and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22320 + 304341?\nAnswer: 332211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16390 is divided by 4304?\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2*-6)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p**3*z**5 - 2*p**3*z**2 - 13036*p**3 + 124*p*z**5 wrt z.\nAnswer: 420*p**3*z**2 + 7440*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2, 6*z - 716 = 3*z + 4*k. Let m = -50 + 50. Suppose 3*o - 24 - z = m. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - u - 1.\nAnswer: -(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1209675374 to the nearest integer?\nAnswer: 34780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2\/7 - 45819*t\/7 + 183324\/7 = 0.\nAnswer: -15277, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4388 (base 9) to base 10.\nAnswer: 3239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Is 1\/3*306\/y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111133333 + 2311?\nAnswer: -111131022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.62 + -0.52. What is the closest to r in 5, 0.6, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 b when four letters picked without replacement from {r: 4, b: 2, c: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a factor of 1566732360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*w - 6*g - 1025, 513 = -2*w - 3*g. Let c = 260 + w. Solve -c*z + 1 - 10 = -s, -4*z - 3 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from vvssvvv.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31209 and 54237.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.3. Let h = 1.1481 + -1.0481. Which is the nearest to 37? (a) w (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*s**2 - 211*s**3 + 501*s**2 + 317*s**2 - 274*s**3 - 180*s**3 wrt s?\nAnswer: -3990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + -7 + 14 + (7 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.4 + 25. Let m = w + 13.5. Let u = -0.01 + -0.08. Which is the third biggest value? (a) -0.4 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6151 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e96 (base 16) to base 2.\nAnswer: -100111010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9583763870890*l**2 + 35242812*l - 162\/5.\nAnswer: -2*(4894835*l - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 e when four letters picked without replacement from cvevevvveecvvv?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 15. Suppose -3*x + 50 = -5*h + o, -2*h = 3*x - 14. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -9*b**8\/56 + 3*b**5\/4 - b**4\/2 - 40*b**2 + 157*b - 1. What is the third derivative of c(q) wrt q?\nAnswer: -1080*q**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5370457 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3309*0.2614\nAnswer: 864.9726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229582023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 30. Let m = x + 70. Suppose -v = -2*w + 4 - 26, 3*v - m = -4*w. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m. Suppose 0*s + s + 5 = m. Let u be (-7)\/(-10) + s\/25. Put -3\/2, 2, u in ascending order.\nAnswer: -3\/2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145578 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -31. Suppose 9 = -i*b + 5*b. Solve -2*a - b*a = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26491*h*y + 942*h + 444931792*y with respect to h.\nAnswer: -26491*y + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009879056961 rounded to 7 dps?\nAnswer: 0.0009879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107c0c (base 13) in base 8?\nAnswer: 1367150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:54 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -33\/4, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -0.1. Let d = 341.1 - 341. Which is the closest to x? (a) d (b) -3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*c - 0 + 9, 0 = -5*k + c + 45. What is the lowest common multiple of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -3, 107097, 4.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 482089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 32\/73, 2\/7, -0.2806?\nAnswer: -0.2806","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209858 is divided by 4576.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7450?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618667.\nAnswer: 7, 31, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2\/11*k**3 + 6\/11*k**2 + 34 - 6\/11*k. Factor t(b).\nAnswer: -6*(b - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-132)\/(-297) + (-16)\/(-45). What is the nearest to -1 in r, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 3. Let d be j(0). Let b = 4 - d. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 4)*(5*f - 2*f - 4*f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -3, 27, -2, -9, 1 in descending order.\nAnswer: 27, 1, -2, -3, -9, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 - 3*m + 3. Let p be o(2). Let j(q) = -q**2 + 6. Let k be j(-2). Let t(w) = -5 + 5*w + p + w + w**k. Give t(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101001 (base 2) to base 16.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5524*c - 5524*c - 2 + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -9, -1619.7, 1.5, -5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 72*a = 32*a - 4251 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:11 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**2 - 4646*s + 41592. Determine y(9).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 77. Does 32 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1186 = -9*w + 14695. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9 = 4*z + z, 4*z - x + 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2904 and 108.\nAnswer: 26136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14021 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4891 is divided by 1627?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*14080213.\nAnswer: 112641704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -484 (b) 44 (c) -0.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*c**4 + 6*c**2 - 1007*c + 1005*c + 100*c**4 wrt c.\nAnswer: 3192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from beyrj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by ((-115)\/(-9) - 6\/(-27)) + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 15*w - 42. Let t be m(18). Find the second derivative of 28*d**5 + t*d**5 - 8*d - 6*d wrt d.\nAnswer: 800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-195)\/10*-2)\/(1 - 0). Let d be ((-2)\/12)\/(p\/(-351)). Factor -3\/2*v**3 - 3*v**2 + 3 + d*v.\nAnswer: -3*(v - 1)*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1709)\/2)\/(4 - (-42)\/(-12)). Let q = 2799 + k. What is q rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/3 + 22620140*i\/3 - 22620142\/3 = 0.\nAnswer: -11310071, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1820 and 55\/266?\nAnswer: 34580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 8*k**2 - k - 4. Let x be z(5). Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 1\/4 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/7 - 3917*j**2\/7 = 0. What is j?\nAnswer: -3917, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -243 * -2.6514\nAnswer: 644.2902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/12 or -25447?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4471, 12906, 25309, 41686, 62043?\n\"Answer: h**3 + 1978*h**2 + 2494*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39587461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16659 + -10067. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 4*o**2 + 2*o - 4. Suppose 5*b + 3*v = 15, 2*b - 3 = b + v. Let i be r(b). Suppose -3*d + i - 8 = 0. Is d >= 17\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 + 12*g**2 + g - 5. Let j be k(4). What is the remainder when (j\/(-6)*-2)\/((-51)\/42534) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 7, 5, 0.3, 1\/4, 6\/301?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 8*u**2 - 3*u**2 + 10*u**2. Suppose -2*w + 1 = -3*w. Calculate y(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-83 + -197)\/(-40)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4146767\/17 smaller than 243928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*u + 111*u + 111*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 1 - 1 + (-10*c + 9*c + 20*c)*(-2 - 3 + 2).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)\/t*t*(t\/t**(2\/5)*t)\/t*(t**1)**11*t**(2\/3)*(t*t*t**(2\/5))\/t*t**(2\/17)*t**1 assuming t is positive.\nAnswer: t**(8396\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 + 3.7. Let f = 0.324 - 0.064. Let l = f - -0.74. What is the closest to 2\/13 in l, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m + m**3 - m**4 - 2*m**2 + 0*m - 3*m**2 + 4*m + 1 as o*m + q*m**3 + w + n*m**4 + v*m**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/189 and -47\/168?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*r + 200 + 82 + 285 = 812*r for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m - 2*m + 0*m - 566 - 26 + 7*m as p + l*m and give p.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 1:50 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 2. Let z(l) = -3*l + 435. Determine t(v) - z(v).\nAnswer: 2*v - 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 970\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 24607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*j + 791*j + 2464 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**12*x))**(37\/5)\/((x**(4\/23)*x)\/(x**(-6\/11)\/x*x)))**(3\/11) assuming x is positive.\nAnswer: x**(-371604\/13915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103720 and 90755.\nAnswer: 726040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5803 + -3185. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 4*h**7\/7 - h**6 - 9*h**5\/4 + 5*h**4\/4 + h**3 - 230*h + 2. Find l, given that x(l) = 0.\nAnswer: -1, -1\/4, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(96))\/sqrt(8) - 3*(-5 + (sqrt(12) + -2)**2).\nAnswer: -33 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 3840101.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.82588 + -0.17412. What is the third smallest value in -15, -0.08, g?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**3 - 7*r**3 - 20*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 10 = -3*n + 3*c, 5*c - 14 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*s - 2178 - 2006, -y + 1398 = -s. List the prime factors of y.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -835 divided by 102923\nAnswer: -835\/102923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 204 and -0.2989.\nAnswer: -60.9756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-771*y**3 - 574 + 287 - 1786*y**3 + 287) in the form m*y**3 + p*y + c + z*y**2 and give m.\nAnswer: -5114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002072 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 453, 452, 451?\n\"Answer: -w + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9024266 milligrams?\nAnswer: 0.0009024266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02767466 rounded to five decimal places?\nAnswer: -0.02767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5903337060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.3. Let y = 0.74 - m. Let b = 0.06 + y. Which is smaller: 2\/7 or b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -5, -5532 = -3*v + 4*s. Let h be 2\/(-5) + 1 + v\/20. Suppose -60 = -4*j - 5*i + 297, -2*i = j - h. List the prime factors of j.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:11 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 5*l + 2. Let s(n) = -n**2 + 6*n - 1. What is -4*s(t) - 5*w(t)?\nAnswer: -t**2 + t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 51777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 166*k**3 + k - 412*k**3 + 158*k**3 in the form h + g*k**2 + f*k + l*k**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.26. Let i = n + 0.273. Round i to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-987)\/174699).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.3, -0.4, -6722, 509?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17476?\nAnswer: 2, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-2)\/390*(-57)\/1140*-120.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667302.\nAnswer: 2, 3, 111217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7 - 2*n + 0 + n + 5. Let j be c(-4). Let 4\/5*o + 2\/5 + 2\/5*o**j = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 22. What is the lowest common multiple of o and (-3 - -7)*1*5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 5*z**2 + 0 + 2*z**2 + z**3 + 2. Let y be 26\/10 - (-4)\/10. Give x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-708)\/(-177)*6\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**3 - 6*m**2 - 2*m + 2. Let o be x(4). Suppose -4*q - q + 665 = -k, -4*q + 2*k = -o. Calculate the greatest common divisor of 44 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11531133335 - 5?\nAnswer: 11531133330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000342930556 rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6210, -6233, -6272, -6327, -6398?\nAnswer: -6485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45123321 to the nearest integer?\nAnswer: 6717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66101232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -923 + 7353\/8. Let m = -16\/5 - -313\/15. Calculate the common denominator of r and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 389? (a) -109 (b) -0.4 (c) -4 (d) 0.1 (e) 0.061 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 187.36 - -5\nAnswer: 192.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -21, 0, 5, -51.\nAnswer: -51, -21, -3, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 554.3276 litres?\nAnswer: 554327.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-92)\/(-21))\/(7536\/(-252) + 30).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3556208 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 38417?\nAnswer: 2\/38417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62592 and 279382.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - (-72)\/32. Solve -s*o - o - 20 = -4*x, -x + 5 = 5*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5 - 0) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38151 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - g + 24 + 20, 3*y + 2*g + 33 = 0. Let c(s) = -11*s + 12. Let p be c(y). Suppose u = p - 27. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 1. Let s(l) = 2*l + 2. Let m(q) = -5*f(q) + s(q). Calculate the smallest common multiple of m(1) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79353431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-3)\/((-27)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + -3*3\/3. Let x(y) be the first derivative of -2\/5*y**2 - 3 + 0*y**4 + 2\/5*y**3 + 0*y - 2\/25*y**m. Factor x(h).\nAnswer: -2*h*(h - 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let q be m(2). Let k(o) = -4*o**2 - o - 1. Let g be k(q). Let p be (g - 3)\/(-1) - 2. Solve 5*r + 5 = p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:14 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**9*o\/((o\/(o**(1\/5)\/o)*o)\/o)*(o\/o**5)\/(o*o\/o**2*o*o))**19 assuming o is positive.\nAnswer: o**(-1406\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m. Let c(g) = 74*g. Calculate c(b(t)).\nAnswer: 296*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 8*u + 6. Let z be b(-9). Suppose -3*c + 9 + z = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-6 + -3 - (-7 - -6)) - -40?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1230 - -10788. List the prime factors of t.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -2, -1\/204, -1, 0.4, -211, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-1)\/(-4)*0. Let o be 70\/28*(-8)\/(-10). Factor -2\/3*w**o + a - 2*w**3 + 4\/3*w.\nAnswer: -2*w*(w + 1)*(3*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b4b71 (base 12) to base 2\nAnswer: -11110000000010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(363)*-1)**2 + -1*(sqrt(192))**2*-1.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139033729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*q - 625 + 625 = 0. Let s be (278 - 0)*(7 + 0). Suppose -5*o = 5, -5*v + o = -q*v - s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88661 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: Let a(t) be the first derivative of -3*t**7 - 7*t**4\/4 + 1184*t**3\/3 + 432. What is the third derivative of a(w) wrt w?\nAnswer: -2520*w**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let u be 22\/12 + m\/(-12). Solve -u*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 11*c - 4 = 0. Let q(f) = -17*f**3 - 6*f**2 - 4*f + 5. Let m be q(-5). Suppose c*j = m + 1448. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 689, 679, 619, 509, 349, 139?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037661 is divided by 7059?\nAnswer: 7047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = -5*q, -4*q - 2 = 5*a - 15. Let n be (-1 + a)*1\/2. Suppose n*i = i - 49. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -603\/50077 or 0?\nAnswer: -603\/50077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 2890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.13, 3, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) -865\/11 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -20*f - 14. Let l(j) = -1. Let k(v) = -3*l(v) + t(v). Let s be k(-2). Let r = s + 1. Are r and 30 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2885945027, -2885945029, -2885945031?\n\"Answer: -2*z - 2885945025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27533431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 379.9823 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -364*x**2 + 1887*x - 15. Let w(q) = -1092*q**2 + 5659*q - 40. Let z(r) = 8*k(r) - 3*w(r). What is the second derivative of z(o) wrt o?\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s - u + 398, 4*s + 2*u = 316. Does 40 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, s: 10, p: 3, k: 2}. Give prob of sequence kk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3149 - -3138. Sort 4, l, 2, 1 in decreasing order.\nAnswer: 4, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 9\/7*v**3 + 6\/7*v - 33\/14*v**2 - 24. What is t in w(t) = 0?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 97. Factor -60*h**2 - 68*h**w + 127*h**2 + 2*h.\nAnswer: -h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*u - 3 - u + 5*u + 2*u + (1 + 0 - 3)*(0*u - 2*u + 0*u)*(-6 + 19 - 7).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let q be (2 + -1)*1*6. What is the units digit of g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5543514 and 2745.\nAnswer: 1690771770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, -83, -451, -1163, -2333?\nAnswer: -4075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5239 is divided by 477?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14082*h**5*m**2 + h**4*m**2 - 71*h**2*m**2 - 15*h**2*m + 2*h**2 + 2*h wrt h?\nAnswer: 844920*h**2*m**2 + 24*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-315 + 20 - 255 - 766)*(-2*k + 1 - 1) to y + c*k and give c.\nAnswer: 2632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.055878ml to litres.\nAnswer: 0.003055878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112101002100 + 22?\nAnswer: 2112101002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 28*h**2 - 60*h + 5. Let i be u(-30). Let o = 0.8 - 0.3. Let f = -0.3 + o. Put i, 0.1, f in decreasing order.\nAnswer: i, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -489*b**2*v*w**2 - 2*b**2*v*w + 132*b*w - 12*v*w**2 - 2*v*w - 2*v + 2*w**2 wrt w.\nAnswer: -978*b**2*v - 24*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 8. Suppose x + 5*l - t = 0, 17 - 62 = -5*x - 5*l. Let d(s) = s**2 - 7*s. What are the prime factors of d(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-30)*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 + 69*q - 2. Determine a(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1000110100100101101001000101?\nAnswer: 1000110100100101101001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r = 2*r - 7*r - 36 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.3 (b) 0.1 (c) 0 (d) 30\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -3, -0.3, 0, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let f(s) be the first derivative of 5*s**3\/3 - 1. Give f(n(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from jjpjjppj?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/1*-15. Let k be 1\/v + (-57)\/135. Let h = -1\/3082 + 6167\/9246. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 358\/(-124) - 4\/(-1). Let n = u + -37205\/33542. Let z = n + 1056\/7033. Which is the nearest to 1? (a) -6 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -431053?\nAnswer: -431105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 7:38 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 29, 78, 167, 308, 513, 794, 1163?\n\"Answer: 2*p**3 + 2*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139978?\nAnswer: 2, 17, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 207902 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a gram in milligrams?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6299.4 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/24 - c**3\/6 - 2*c**2. Let q be a(-3). Suppose -1 = -j - q. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24593 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:02 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100100000101 - 10100001001?\nAnswer: 111001111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 6\/43 (c) -1 (d) 5 (e) 6 (f) -0.469\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117*g**5 - 250025*g**4 - 3*g**2 - 9024632*g.\nAnswer: -7020*g**2 - 6000600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 187873 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 267\/89 - 5\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88\/5 of a decade?\nAnswer: 2112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 - 2*j + 151. Let k(d) = 4*d**2 - d + 153. What is -3*h(m) + 4*k(m)?\nAnswer: m**2 + 2*m + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5416223 + -59532167\/11. Let c = -4212 + f. Calculate the common denominator of -43\/8 and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 - 2. Let f be r(2). Suppose -3*w + f = -9. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 520 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000757841713 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 1:07 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4901851*p**2*t**3 + 628*p**2*t - 3*t**4 - 1052*t**2 wrt t.\nAnswer: -29411106*p**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.15 (b) -4.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/373940348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 15*w**2 + 6*w - 24. What is the hundreds digit of q(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56456940, 56456941, 56456942, 56456943, 56456944, 56456945?\nAnswer: 56456946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 16}. What is prob of sequence jyyy?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-10) - (-10)\/4. Suppose z*y - y - 4 = 0. Solve -4*u + 5*w = 3, 0 = -2*u - u + y*w - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d. Let k(w) be the second derivative of -w**4\/12 - 3*w**2\/2 - 3*w. Let z(j) be the first derivative of k(j). Calculate z(t(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -7*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5857 in -0.01, 9, -0.1, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 8*y + 3. Let k be j(-8). Let x(z) = -1070 + 1070 - k*z**2 + 7*z. Let b(p) = p. Calculate x(b(l)).\nAnswer: -3*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + -3. Let g = -20.00000001 - x. What is g rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2168*f*h + 588*h + 1 wrt f.\nAnswer: 2168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:48 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.585 - 1.885. Sort 2\/7, 3.94, -4\/7, g in increasing order.\nAnswer: -4\/7, g, 2\/7, 3.94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4466 (base 7) in base 13?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -311177739 and -4.\nAnswer: -311177743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 0.45.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.552 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9004*t - 917. Is z(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 13.24, 2?\nAnswer: 13.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 833905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = b - 345. Is 57 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 7, v: 1, p: 1, l: 4}. Give prob of picking 2 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 2*z**2 - 11. Let b be m(-7). Let c = b + 1870. What are the prime factors of c?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 0 - (sqrt(2) - (sqrt(56)\/sqrt(4))\/sqrt(7)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 3*n)*(-202 - 5 - 50).\nAnswer: -771*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-39))\/(16\/(-24))*8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3496848 is divided by 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1229750 and 97\/140.\nAnswer: 17216500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, -19919515 in descending order.\nAnswer: 4, 1, -4, -19919515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448846?\nAnswer: 2, 3, 101, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -7, 2 in decreasing order.\nAnswer: 2, 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12449 + 12459. What is the remainder when 1943 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -357, -762, -1213, -1710, -2253, -2842?\n\"Answer: -23*v**2 - 336*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -26, -36, -60, -104, -174, -276?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -25*o**2 + o - 19. Let z(f) = -75*f**2 + 3*f - 54. Give 17*w(v) - 6*z(v).\nAnswer: 25*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 232556921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 2*g - 9. Let d be q(7). Let z = 26 - d. Solve 0 = -z*i - 5*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191062*r**2 - r + 38371 wrt r?\nAnswer: 382124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 13*x - 2*x)*(-x**2 + 1 + 12*x - 12*x) as a*x**3 + p*x**2 + g*x + i and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 - 360*g**2 + 561 - 5*g**4 + 350*g - 198 + 130*g**3 - 251 = 0. Calculate g.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 38*b**3. Let d(u) = 8*u - 3. What is the remainder when t(1) is divided by d(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0605209 to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l - 0. List the prime factors of (-2)\/(l*(-3)\/(-528)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -13 (c) -50 (d) 3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 143*i - 1717. Let c be j(12). Put c, 4, -3, 52, 5 in ascending order.\nAnswer: -3, c, 4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(72) + (1 + sqrt(72) - sqrt(72)))*-2*6 - (-1*-1*sqrt(72) + sqrt(72) + (sqrt(72) - (-5 + sqrt(72)*2)) + -2))**2 + 3.\nAnswer: 29988*sqrt(2) + 175476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(9639\/105))\/(20\/24)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115398931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*q = -19, -4*s = -0*s + q - 15. Is 12 - s\/(-8)*2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-24))\/(((-441)\/(-56))\/1 - 8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x. Let p be k(1). Let q be 2\/p - (-115)\/(-25). List the prime factors of ((-8)\/q)\/(6\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31161.7 and -0.2.\nAnswer: -31161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 - 2*j + 5. Let v(r) = r**3 - r**2 + 1. Suppose 6*w = 2*u + w - 14 + 8, -5*w = 0. What is u*v(n) - c(n)?\nAnswer: 2*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170286512 - 22988435852\/135. Suppose -t - 1800 = c, -2*t - t = 5*c + 9004. Let v = c + x. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/3*(-42)\/(-7). Let x(y) = 2*y**3 - 7*y**2 - 11*y - 2. Let v be x(q). Calculate the highest common divisor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*(-1*sqrt(104) + sqrt(104)) + 2*(2*sqrt(104) - sqrt(104))))\/(2*2*sqrt(392) - sqrt(392)*2*-1).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 3. Let l be (v\/(-2))\/(1\/21). Suppose -141 = k - 6*k - 4*r, 0 = -3*k - 3*r + l. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1738, 1927, 2116, 2305?\n\"Answer: 189*m + 1549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5*(sqrt(108) + -2*(sqrt(108)*2 + sqrt(108) + sqrt(108)))*1 + -1)*3)**2.\nAnswer: -1260*sqrt(3) + 1190701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713 is divided by 127.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279896753?\nAnswer: 3, 19, 22454329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c + 305*c - 835 + 9883 = -c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173629530 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)\/v)\/(v\/(v**8\/v)*v) assuming v is positive.\nAnswer: v**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 29\/(-7))\/((-12)\/(-56)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -6, 2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 104*l**2 - 8*l - 3. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -163*d + 95*d - 2*d**3 + 99*d + (d + 3*d - 2*d)*(2*d**2 - 3*d**2 + 2*d**2) - 6*d**3 - 11 + 11.\nAnswer: -6*d**3 + 31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5377.29 times 2\nAnswer: 10754.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-365)\/(-35) + ((-27)\/(-21))\/(-3). Let q = z - -91. What are the prime factors of q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72576735 divided by -385.\nAnswer: 188511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 6*c**2 - 6*c - 3. Suppose -9 = -0*x + 3*x. Let m(g) = -g**3 - 4*g**2 - g + 1. Let y be m(x). Let o be n(y). Solve z - 2 = o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80938 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64640.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 12 + 5)*(7 - 13 - 39*n + 4).\nAnswer: 390*n + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121496 is divided by 769.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1202 = 4*v, 0*t - 3*t + v + 1783 = 0. Calculate the remainder when t is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2314 - 1550. What is the smallest common multiple of 3 and j?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20627\/25 - (-598)\/(-7475). Calculate the greatest common divisor of 132 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (528\/(-60) - (-11 - -4))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578510?\nAnswer: 2, 5, 17, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 43460.073 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 - 11*b. Let r be v(2). Let l be 1*6\/r*-8. Let q(k) = k - 12. Calculate q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997766 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 725 - 654.4. Let l = f + -65. What is l rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 379105.\nAnswer: 379103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 - -8 - (235 - 219))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-143)*200\/(-12) - (-164)\/902?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 5)\/(7 + (-186)\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 22. Let k(l) = l + 6. Let u be k(7). Suppose x = -2*z + z - u, -x = 4*z + 28. Let i be j(x). Which is greater: -1\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Let m = 18342 - 18341.95. Which is the biggest value? (a) q (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7\/31125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*g + 269*g - 2 - 630*g.\nAnswer: -76*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 593.749l?\nAnswer: 593749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - (-3 + 0 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175028 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 5*r + 3*r + 0*r. Let u(w) = 15*w. What is u(c(q))?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*z + 7, 0 = 4*z - 2*a - 2*a + 44. Let v(h) = -h**3 - 7*h**2 - 7*h - 2. Let u be v(z). What is the tens digit of 2\/((u\/9)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 8*y**2 - 2. Let q be d(-8). Let j be (-1 - 0)*q + 17. Suppose j*a - 1570 = 20*a. Round a to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.983 + -0.017. Let i = -1 - w. Suppose 23 - 15 = -4*l. Which is the closest to l? (a) i (b) 1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 60. Suppose -2*u = -2*q - 0*u + j, q + 5*u = 5. Calculate the remainder when 79 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2.01. Let q = v - 0.01. Put -0.4, q, -2 in descending order.\nAnswer: q, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-8 - (-20 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 837 - 1e?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-8)*(-1)\/(15\/(-3))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 1, d: 2}. What is prob of sequence cdd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680708377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/23, -31933, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 3534750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -42*n**2 - 3*n + 8. Let t(l) = 124*l**2 + 8*l - 21. Calculate -3*t(m) - 8*x(m).\nAnswer: -36*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 2*l**3 + 2*l**3 - 16*l + 34 - 3*l**3 + 18*l + 9*l**4 to b*l + k*l**3 + v + x*l**4 + u*l**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8621408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*o - 2 - 58*o + 65*o as v + f*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*z - z. Let h(w) = -3*w. Let g be h(z). Is 2\/3 - 62\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21008.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/80*6\/153)\/(18\/12)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160272 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-161)\/14 - -10)\/((-3)\/(-676)). Let b = j + 119989\/355. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18336717 by 8.\nAnswer: -18336717\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - -8 - (-123 + 144).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 12*i = 14*i - 4, -5*t = -5*i - 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o**2 + 18*o + 37. Let z be t(-5). What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1321*r**2 - 1879*r + 1878. Give t(1).\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 540, -0.3, -17\/16 in increasing order.\nAnswer: -17\/16, -0.3, 1, 3, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/20)\/(12\/10). Which is the smallest value? (a) q (b) -0.06 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 2*m, -m - 5 = -228*l + 229*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1403 = 203. Suppose 4*u + c = -u. Let a = u + 68. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 9*k**2 - 21*k - 3. What are the prime factors of u(-10)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974.7161 centuries to months.\nAnswer: 1169659.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3 + 201*l**2 + 9999*l - 10201 = 0.\nAnswer: -101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4.08. Let u = h - 2.08. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*j + 1402849 = 0, 2*d - 383080 = -5*j + 552159. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccktctccqcqqeqcc. Give prob of sequence cqce.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -30*a**2 + 63*a**2 - 32*a**2. Suppose 2*h - 6 = 6. Let z(y) = 13*y - 26*y + 14*y + 4*y**2. Give h*b(s) - z(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 10310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*b**4 - 17*b**4 - 4*b**4 + 11 wrt b.\nAnswer: -376*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19845 - 40154 = -589*h + 3615*h + 64419 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007707532.\nAnswer: 2, 3, 167308961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b + 8 = 0. Let r be (-2)\/2 + (8 - b). What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 12. Let q be b(9). Suppose -6*m + q = -m. Find the second derivative of z**3 - 3*z - 5*z**m - 2*z**5 + 4*z**3 wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 15*t**2 - 13*t + 15. Let b be x(-14). Let d = 3 + -12. Let v = d - -19\/2. Sort 0.2, b, v in ascending order.\nAnswer: 0.2, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from odddoddoodddo.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20610 and 15.\nAnswer: 20610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96668.88 millilitres to litres.\nAnswer: 96.66888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35805\/6138 - 1\/(-6*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -20)\/(2\/(-8))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 16. Let i(r) = -3*r - 240. What is -4*a(c) + i(c)?\nAnswer: c - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -176534, -176538, -176544, -176552, -176562, -176574?\n\"Answer: -n**2 - n - 176532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k\/k**(2\/5))\/k)\/k**5*(k\/k**(-1\/2))**(-1\/10)*(k*k\/(k**3\/k))\/(k\/k**(-6)*k)*k**(1\/3)\/(k*k\/(k\/k**(1\/6))*k*k) assuming k is positive.\nAnswer: k**(-863\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2091.7 times -70.96?\nAnswer: 148427.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, -2, -2392 in decreasing order.\nAnswer: 218, -2, -2392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61546 and -11232593771.\nAnswer: -11232655317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 3\/8*s**4 - s**3 - 4 + 0*s**2 + 0*s. Factor j(u).\nAnswer: 3*u**2*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 10\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 125 = -5*h + 62, 4*h - 161 = 3*k. What is the highest common divisor of h and 7372?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3969\/196 + -21 - (106\/(-12))\/((-40)\/300)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -309480 divided by -51580?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292222 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 115040.5 in descending order.\nAnswer: 115040.5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-3 - 4\/(-3)). Suppose -4*t - 8 = -5*v, 11 = -p*v - 4*t + 3. Suppose 2*z + 0 - 10 = v. Calculate the highest common divisor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 9*l**3 + 1824*l**2 + 4812*l + 2400 = 0.\nAnswer: -200, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -3\/2*k**2 - 2*k**3 + 0*k + 2. Determine n so that w(n) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43200 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 329 - 330.22. Is r equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3095 and 100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/7))\/(d*d*d*d*d*d\/((d\/(d\/((d*d\/(d*d**(-2\/3)\/d)*d)\/d)*d*d))\/d*d)*d)*d**(6\/11)\/(d\/(d**1\/d)))**(1\/26) assuming d is positive.\nAnswer: d**(-718\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(1694) - sqrt(1694))*6)\/(-6*-1*sqrt(98)*-4).\nAnswer: 165*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255557\/30 + 8514. Find the common denominator of -133\/4092 and u.\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:14 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 19505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.8 (b) 0 (c) 5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + (4 - (-5 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 23. Let l be 0 - (-2 + -1 + 1). Suppose 4*v - t = v + 105, -l*v - t + 70 = 0. Calculate the remainder when v is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*t + 319 = -3*c, -4*c = 2*t + 1318. Is -332 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11012200 (base 3) to base 4\nAnswer: -233331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 6*x**2 - 5*x - 6. Let p = 43 - 36. Let o be z(p). Let d(t) = 5*t + 9. Let m be d(-2). Sort o, m, 2 in decreasing order.\nAnswer: o, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100*g**4*u**2 - 9*g**4 + 3*g*u + 10431*u**2 wrt g?\nAnswer: -400*g**3*u**2 - 36*g**3 + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231904 and 6368?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.272 + -0.302. Sort 5, 0.3, t, 1\/4 in descending order.\nAnswer: 5, 0.3, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/(-2))\/(8\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -1665*u**6\/2 + 2*u**2 + 163*u - 1707. Find the second derivative of v(r) wrt r.\nAnswer: -99900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -60, 20, 5 in decreasing order.\nAnswer: 20, 5, 4, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -m, -4*j + 19 + 5 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4002*a + 96 + 117 + 4004*a)*(2 - 5 + 0) to the form d*a + u and give u.\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 27310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, h: 1, e: 1, j: 2, i: 2}. What is prob of sequence je?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eez when three letters picked without replacement from ffefeffzzezzfez.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-5) - (-14)\/35. Let p(y) = 3*y**2. Let i(b) = -3*b**2 - b + 0*b**2 + 1 + 1 + 8*b**2. Let f(s) = r*p(s) + 3*i(s). Factor f(a).\nAnswer: -3*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2575081 is divided by 158?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 812669880 to the power of 1\/2, to the nearest integer?\nAnswer: 28507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h + 1. Let a(y) = 6*y**3 - 8*y**2 - 18*y - 8. Let c be 41\/(-164) - (-3)\/(-4). Let x(j) = c*a(j) - 5*v(j). Give x(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*i - 7. Let l be (15\/20)\/(2\/i + 2). Which is the third biggest value? (a) -2\/19 (b) l (c) 0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 0*c**2 - 103 + 12\/35*c**5 - 1\/21*c**6 + 8\/21*c**3 + 0*c - 9\/14*c**4. Find x such that u(x) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -809 + 821. Let r(m) = 8*m**2 - 2*m + 1. Let v be r(7). Suppose -5*t + 368 = -3*d - 115, -v = -4*t - 5*d. What is the greatest common factor of t and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*b - b. Suppose 3*n + 16 = r - 30, -5*n + 20 = 0. What is the remainder when r is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022968318 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + b = -25, -3*i + 55 = -0*b + b. Suppose -2*k + h = -281 - 181, i = 5*h. List the prime factors of k.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937449?\nAnswer: 19, 107, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 869414.46 rounded to the nearest 1000?\nAnswer: 869000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**0*k\/(k\/k**(-16\/3)) assuming k is positive.\nAnswer: k**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -3\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 12 = 5*m + 48, -64 = 5*m + 4*g. What are the prime factors of (-135)\/(-4)*m\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -38 - 67. Let g be (-4)\/14 + (-95)\/w. Let x(s) = -29*s - 10. Is x(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 10*o - 2. Let w be 4\/(-6) + 115\/15. Let s be c(w). What is the greatest common divisor of s and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/42 - -5 - (-2)\/((-84)\/(-82)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*m - 1927, -4*m - 1177 = -2*o - o. Let p = -3 + 5. Suppose -h + 3*v - 5*v + 79 = 0, -5*h - p*v + o = 0. Round h to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:19 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 59827.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8296364 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:56 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1011253, -4043227, -9096507, -16171087, -25266961, -36384123, -49522567, -64682287?\nAnswer: -81863277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**30*(v**(-1\/6)*v)\/(v\/(v*v**(-1\/6))) assuming v is positive.\nAnswer: v**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10063 = -2*z + 1785, 16 = -4*z. What are the prime factors of o?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*w + 7 = -52, -7 = -2*p - 3*w. Suppose -2*n = -3*s + 87241, -p*s + 13*s + n - 58149 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.999926 - -4. What is b rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74*l - 69*l + 41*l)*(1 + 1 - 3) as a + o*l and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 21, 2563\/5?\nAnswer: 2563\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 + 2*z - 2. Let s be a(1). Suppose s = 3*m - 3 + 9. Let l(d) = -2*d**3 + 3*d**2 + 2*d - 1. Does 10 divide l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4525\/4 - 1124. Let d = -606\/385 + 1\/385. What is the common denominator of d and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138697643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-99198)\/2560 + (-15)\/20. Let v = 1\/1280 - o. Let k = -15\/8 - 77\/8. Calculate the common denominator of k and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/((-8)\/448). Is m smaller than -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84223439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2849 and 43771.\nAnswer: 481481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 281.9 and -3.65?\nAnswer: -1028.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 1, g: 1, w: 4, t: 5}. What is prob of picking 1 t and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233954400 rounded to the nearest one million?\nAnswer: 11234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 + 161672*w\/13 - 3267229448\/13.\nAnswer: -2*(w - 40418)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -21. Suppose -3*h = 4*l - 20, -2*l + z = 4*h - h. Let u be (-38)\/6*(-1 - l). What is the greatest common factor of u and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 77c?\nAnswer: 77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 842813 to the nearest ten thousand.\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 13 - 29 = 4*d + 5*k, 0 = -5*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 778, 875, 1128, 1615, 2414, 3603, 5260, 7463?\n\"Answer: 13*c**3 + 6*c + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1975635440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(-2\/13))*(a*a\/(a**4\/a))\/a)\/(a**(1\/10)*a\/a**(-3\/5)) assuming a is positive.\nAnswer: a**(-631\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n - 1. Let p be k(-3). Let o = 7 - 3. Suppose -2*v + o*v - p = 3*h, -v + 5*h = -2. Calculate the smallest common multiple of v and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -57*f + 913. Calculate m(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 6. Let f be 64\/14 + 1 + (-18)\/(-42). Let r = f + v. Solve z = r + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1071 - 6449\/6. Find the common denominator of 113\/18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 2*o - 4. Let z(p) = 6*p**3 + 11*p + 21. Calculate -22*u(d) - 4*z(d).\nAnswer: -2*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2. Let p be 6\/(-14) + (-511)\/(-49). Suppose p + 5 = 5*s + 3*k, -5*k + 6 = 2*s. Let u(y) = -4 - 4 + 8 + s*y. Determine u(q(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 2.2 (c) -265\/31 (d) -2 (e) -6 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 125745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 - 11 = 0. Suppose -3*s + c + 101 - 30 = 0, -56 = -3*s - h*c. Calculate the remainder when 65 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -850429.004 to the nearest ten thousand.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/12 + s**4\/4 - 11*s**2 + 1. Let q(d) = -29 + 16 + 2*d + 13. Determine g(q(h)).\nAnswer: -20*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/959851 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 15*t - 24. Let o = 227 - 223. Let c be y(o). Solve -8*d = -c*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 23 - ((-6 - -1) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 4*v + 14*v**3 - 19*v**3 - 5*v.\nAnswer: -5*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 11*h - 29. Let k be g(-8). Suppose 9*u - 1844 = -1880. Sort k, u, -1, 1 in decreasing order.\nAnswer: 1, -1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42)\/(-28)*(13 + 807)?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-6) + 2)*6. Let i(q) = -2*q + 4. Let v(o) = -o + 1. What is u*i(t) - 5*v(t)?\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + ((sqrt(10)\/sqrt(2))**2 + -2 + sqrt(5) - sqrt(80)*-5)).\nAnswer: -126*sqrt(5) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1943477 greater than or equal to -1943476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1093\/2 - -558. Let d = -11 + k. Let z = 0.126 + 0.274. Which is the nearest to d? (a) -0.5 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000010100111010110 + 11?\nAnswer: 101000010100111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.018 - 0.01799944. What is q rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-8)\/(-24))\/(23\/(21528\/16)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)*u)**(1\/22)*(u*u*u\/(u\/((u\/(u*u*u**(-1\/3)*u))\/u*u)))\/u*u\/((u*((u*u\/(u**(5\/4)\/u*u))\/u*u)\/u)\/u)*u)**(-1\/28) assuming u is positive.\nAnswer: u**(-1063\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*w**3 - 78*w**3 + 132*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 3*s**5\/20 + 111*s**4\/4 - 2*s**3 - 666*s**2 - 7*s - 149. What is a in v(a) = 0?\nAnswer: -111, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11663 + 6636. Let n = y - -5026.30008. Let u = -0.7 - n. Round u to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -508\/159 in descending order.\nAnswer: 5, 2, -508\/159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*y - 27683 = 49457 for y.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 101. Let u = 10 - j. Calculate the highest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001100 (base 2) to base 8.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1573 and 271.4.\nAnswer: -426912.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.67 + -1.7. Which is the biggest value? (a) 2\/17 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12529, -12678, -12829, -12982, -13137, -13294?\nAnswer: -13453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1.1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*o**3 + 1530*o**2 - 656*o + 72 = 0. Calculate o.\nAnswer: 2\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02876087 and 0.075.\nAnswer: 0.10376087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84960\/(-112860)*77 - (-2)\/(-57).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 - -1.1. Let v = 1.2 - p. Let r = 64 + -67. Sort -1\/4, v, r in decreasing order.\nAnswer: v, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 35 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7276 and 0.075?\nAnswer: -545.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 0.1, -7.4 in descending order.\nAnswer: 9, 2, 0.1, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 2, -2\/231, -0.14, 2\/13, 7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14532745 is divided by 7103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + (sqrt(15)\/sqrt(5) - sqrt(3)))*5 + ((sqrt(6) + sqrt(30)\/sqrt(5))*-1)\/(2*sqrt(32) + sqrt(2)).\nAnswer: -2*sqrt(3)\/9 + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - o - 43, -4*h = o - 6*o - 89. Let c be (-9)\/4*-3 - 52\/(-208). What is the greatest common factor of c and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 12078?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 642 + 1?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6318 (base 9) to base 8.\nAnswer: -11032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 476\/42 - (20 + -14 - (-143)\/3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/((11\/110*-5)\/((-13)\/(-39)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-168)\/(-35))*(-12)\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(288))*4 - (sqrt(6)\/sqrt(108) - sqrt(2) - (sqrt(2) - ((sqrt(2) - sqrt(72)) + -5))))*6.\nAnswer: -18 + 329*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 117. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbl when three letters picked without replacement from blblbllbbbll.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/690 and 10\/9.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:03 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25\/(-2)*(-616)\/(-105)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 2*x**7\/7 + x**6 - 2*x**3\/3 - 133*x**2\/2 - 138. Find the third derivative of o(b) wrt b.\nAnswer: 240*b**3 + 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(5\/2))*j*j**(-2\/9))**(-40))**(1\/24) assuming j is positive.\nAnswer: j**(-295\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4 - 120933*m**3 + 35216181*m**2 - 87405618*m + 34913880 = 0. What is m?\nAnswer: 1\/2, 2, 293, 19860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/3 - 17*y\/9 + 10\/9 = 0.\nAnswer: 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89.6 - 86.6. Which is the closest to 1\/3? (a) 1\/14 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4) + sqrt(20))*-3)\/(sqrt(484)*-4).\nAnswer: 3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1 + -3 - (sqrt(171) - (2 + sqrt(171)))*-2) + (1*sqrt(171))**2*1 + sqrt(171)*-1*-5 + -5.\nAnswer: 12*sqrt(19) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151.7801 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4772589748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33.3 + 51. Let k = b - 16. Let s = k - 2. What is the third smallest value in s, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74114 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 834 - 834. Let z(q) be the second derivative of 0*q**3 - 11*q + 3\/4*q**4 + 2*q**2 + k. Find the first derivative of z(c) wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4062 and 16.\nAnswer: 32496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 2, j: 2}. What is prob of picking 2 l and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 28350084.\nAnswer: 170100504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.3, 0, -2826, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1421, -14, -5, -1 in increasing order.\nAnswer: -1421, -33, -14, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**3\/6 + 6*b**2 + 3*b. What is the units digit of w(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-209) + 7178\/38. Calculate the greatest common factor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 32*n + 196. Let u be f(-37). Solve 2*s - 1 = u for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v + 130. Let s be x(-14). Suppose 5*c - s*c = 3*c. Which is smaller: -12\/17 or c?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -574672*k**2 - 1376105 wrt k?\nAnswer: -1149344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c = 4*i + 36, -15 = -5*i. Let v = c - 9. What is the second derivative of -n**3 - 4*n - 3*n - n**4 + n**v wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3\/(-24)*(-2)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 13 - (4 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1080444470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -108c975 + 3?\nAnswer: -108c972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4051*h**2 + 213*h**3 - 4051*h**2)*(2*h**2 + 0*h + 0*h + (-2*h**2 + 0*h**2 + 0*h**2)*(2 - 1 + 0) - h**2 + 0*h**2 + 4*h**2).\nAnswer: 639*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-29) + (-3275)\/(-15196)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012\/33 + 1\/(-3)*-1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 24*o**2 - 15*o + 19. What are the prime factors of i(-25)?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -14 + -6 - -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1217.11 to the nearest ten.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*x**2 - 11*x - 2*x**4 + 29*x**2 + 2 - 3*x**3 + 2*x**3 in the form p + a*x**4 + u*x**3 + i*x**2 + c*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*q + 37, 0*g = -3*q + g + 48. Calculate the remainder when 117 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 103, 106, 109, 112, 115?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11533?\nAnswer: 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqdqwlwl. Give prob of picking 2 w and 2 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4193248 is divided by 145?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 217 - 43 = 3*d, 3*d + 2*v - 177 = 0. Factor -42*l - 43*l**4 + 86*l**4 + d*l**2 - 46*l**4 - 12*l**3.\nAnswer: -3*l*(l - 2)*(l - 1)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39533, 79155, 118869, 158675, 198573, 238563, 278645?\n\"Answer: 46*g**2 + 39484*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/9 (b) -13\/4 (c) -112 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2186*w - 2028?\nAnswer: -2186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -20*d + 600. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37231150 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 226851810 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1908 and 85\/36.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138.9716 + 0.0284. Let s = j + -132. What is the third smallest value in s, -1, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 18*q**2 - 14*q + 60. Let v be x(-10). Solve v = 2*j - 5*r + 14, 2*j = 8*r - 7*r + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - 2.5. What is the nearest to -2 in k, -0.5, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 7. Let j(b) = -b + 1. Let s be j(4). List the prime factors of (-20)\/s - m\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 + 170. What is the nearest to -1\/3 in 3, 69, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from wussuusdudud.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*r + 51*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*d + 28 = 0, -q = -5*d + 17 + 1. Suppose u - q*u = 357. Does 6 divide u\/(-14) + (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:15 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 21 = -3*f, -2*n + 13 + 3 = -3*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 2*t**2 - 21*t + 0 + 1\/2*t**3 - 1\/12*t**4. Factor z(m).\nAnswer: -(m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s - 12*s + 9494 - 9504 + (-3*s + 4*s - 3*s)*(3 - 1 + 0) + 0*s - 3*s + 4*s - 3*s + 2*s + 2*s + 5*s - 2*s - 2*s to c + b*s and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-19 - -10) - (-17 - -35 - 21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*l**3 - 23904*l + 23904*l + (11*l - 20*l - 121*l)*(-4*l**2 + 6*l**2 - 4*l**2) to the form k + m*l**2 + z*l + f*l**3 and give f.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**2 - 23*c - c**3 + 21*c - 8*c + 5. Let j be g(10). Factor -2\/5*i - 4\/5*i**4 + 0 + 0*i**3 + 4\/5*i**2 + 2\/5*i**j.\nAnswer: 2*i*(i - 1)**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 1.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h - 16 = 2*g, 4*h - 5*g + 44 = 0. Suppose a - 18 = -0*a + 2*y, -48 = -3*a + 4*y. Let b = h + a. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 2*h**2 + h + 3. Let o be w(0). Suppose o*k = -3*k + 120. Let m = 26 - k. Let u(c) = c**3 - 6*c**2 - c + 7. What is u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 6639276?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -26*f. Let s(t) be the first derivative of -t**2 - 21. What is s(o(d))?\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -23. Solve -4*b + 0*b = 2*g - 6, t*b = -3*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10073, 10530, 10987?\nAnswer: 11444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.725 + 7.625. Which is the nearest to 1? (a) 2\/3 (b) i (c) 74 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kggk when four letters picked without replacement from kckgcgcccqcckg?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*c + 13177 + 36034 + 7135 = -4290 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 - 6*f - 4. Let o(r) = -r**2 + r + 1. Suppose -2*i = 2*i - 136. Let c = i + -33. Calculate c*m(u) + 6*o(u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110130 - 11?\nAnswer: 3110113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -303 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnu. What is prob of sequence un?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 11*o - 927. Determine p(-36).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i. Suppose 0 = -2*v + 3*o - i*o + 16, -v + 34 = 5*o. Calculate the highest common divisor of v and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3482 = -2*n - 1262, 5*n + 5*r = 5550. Calculate the least common multiple of n and 27.\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 12*j = 0. Solve -15 = -j*r - 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6072?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1410, 5637, 12688, 22563, 35262?\nAnswer: 50785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254193.\nAnswer: 3, 84731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*z - 39 = -97*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/15 + 119*k**4\/3 + 470*k**3 - 2*k**2 + 8*k - 11. Factor w(z).\nAnswer: 4*(z + 3)*(z + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c1 (base 13) to base 15.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 30. Calculate the remainder when 3\/((-2)\/(-38)*(-2 - -3)) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5d (base 16) to base 12\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98458, 196922, 295388, 393856, 492326?\nAnswer: 590798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 - 55*i - 60. Let s(y) = -y**2. Let o(k) = -2*s(k) - z(k). Factor o(q).\nAnswer: -5*(q - 12)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.055842 - 30.05. Round k to four decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5450?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 + 13?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72180 and 3?\nAnswer: 72180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3392, -1\/10, -1, 13.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3583947*z**2\/2 + 6558*z + 6.\nAnswer: 3*(1093*z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 77 = -18*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1667\nAnswer: 3\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*v - 234, 3*w = 3*v + 22 + 176. Suppose 5*m + 2*p - 282 = 0, -5*p + w = m - 0*m. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + t + 20*t**3 - 3*t**4 + 3 - 53*t**3 + 13*t**3 + 22*t**3 as s + p*t**2 + k*t + j*t**4 + g*t**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssws when four letters picked without replacement from wsswssssswss.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o + 8. Let q(z) = -4*z**2 - z**2 + 4*z**o. Let g(p) = 6*p + 10. Let a(f) = 22*f + 36. Let i(b) = 5*a(b) - 18*g(b). What is i(q(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 7\/10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(2 - 16\/12). Sort 2, -3, n in decreasing order.\nAnswer: n, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-30)\/(3 - -2). Differentiate 31 + 6*m**3 + 2*m + 20 - 37 - h*m with respect to m.\nAnswer: 18*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14125*n**2 - 184*n + 185*n - 3892*n**2.\nAnswer: 10233*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 10 + 8)*(-80 - 87 + 196 + (-3 + 3 - 2)*(2 + 2 - 2))*(-3 + 3 + 2)*(0*c + 2*c - 4*c)*(1 - 1 - 2) to the form n*c + b and give n.\nAnswer: -3400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 1 - 3, 0 = 5*i + 2*q - 58. Suppose -11*j + 13*j = -i. Let z = -4 - j. Solve z*y = -3 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-14) + (-2)\/((-28)\/235202). Round g to the nearest one hundred.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:16 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3366436457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*j + 2931 = 2934, -10 = -5*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffgiffgifif. What is prob of sequence ff?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19532 divided by 10266\nAnswer: 9766\/5133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 107.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -574 (b) -24\/7 (c) -59 (d) -0.2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*l - 4638 - 3570 = -135*l. What is the smallest value in l, -4, 1\/4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -559a?\nAnswer: 55a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -26 + 11 - 2 + k**2 + 9. Let a be t(-6). Calculate the greatest common divisor of a and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6 - -17 - 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/525, -10484, -5 in descending order.\nAnswer: 1\/525, -5, -10484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(-11)\/(-3267)*-12.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 + 2.1. Which is the third biggest value? (a) z (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219905 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in -3, -0.4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3360\/(-196)*(-70)\/40?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1 - 6 + 2*s - s. Let v be b(6). Solve -l + 2*l = v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u - 3 - 15*u + 8*u.\nAnswer: 11*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*t**3 + 6*t**2 - 6*t**2 - 467*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/42*(-77)\/33?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + m - 4. Let x be l(-2). Suppose 3*a - 12 = -x*v + 7, -5*v + 2*a = 0. Is v greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8713830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 623, 1, 2\/13, 8, -1 in increasing order.\nAnswer: -1, 2\/13, 1, 8, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 13*b**3 + 11)*(12*b + b + 13*b) in the form j*b + m + o*b**2 + k*b**4 + u*b**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 15*v - 1212. Let p = -234 - v. What is the remainder when p is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/23 (b) -4 (c) -1 (d) 1\/3 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36175291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2860000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:26 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -370\/951 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/16 and -51\/920?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 3. Let p(f) = 1. Let m(a) = 5*p(a) - 3*u(a). What is the tens digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4010166*n**4 - 1816723 wrt n?\nAnswer: -16040664*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*f + 19 - 247*f - 19 - 21*f**3 + 47*f.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 9. Suppose r + 75 = m - 0*m, 4*r + 2*m + 276 = 0. Let u = -79 - r. Give n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5652 + -5653. Is 3\/2354 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(11))*-4 - (sqrt(704) + -2))**2.\nAnswer: 240*sqrt(11) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*j - 0*j. Let b be -3*(j\/(-45) - (-12)\/45). Which is smaller: -0.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + (-254)\/840. Let r be 7*3\/(0 + 90). Let u = r - s. Which is the smallest value? (a) u (b) -0.3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 7\/24*y**4 - 11*y**2 + 0*y + 3\/2*y**3 + 0 + 13\/60*y**5. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -149. What is the remainder when 151 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5242, 10646, 16050, 21454, 26858, 32262?\nAnswer: 37666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4654, -9947, -15240, -20533, -25826, -31119?\nAnswer: -36412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0500504 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10\/7)*o)**(-30)\/((o*o**1)\/o*o*o**(-16)) assuming o is positive.\nAnswer: o**(188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1 + 41)*(-4)\/5. Let z = o + 32. Suppose -l - 1 = m, z + 1 = -5*l - m. Put l, -3, 2, -4 in descending order.\nAnswer: 2, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25) - 0)\/((20482\/110)\/19).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/19 - 196*h\/19 + 816\/19 = 0 for h.\nAnswer: -102, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -19.6. Let i = c + 18. What is the biggest value in i, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 9. Determine r(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7138.8*923\nAnswer: 6589112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/249 - -90365\/498. Let q(d) = 7*d**2 + 4*d + 3. Let i be q(5). Let m = i - b. Find the common denominator of m and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 7 = 5*y - 8, 5*y + 10 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14.6, -1105369\/4, -1\/8?\nAnswer: -1105369\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*n - 23. Solve i - n*q = -4*i - 11, i = q - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114925763?\nAnswer: 17, 47, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, u: 2, e: 4}. Give prob of picking 1 e and 1 u.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 619775 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Let n(d) = 298*d + 156. Let z(w) = 5*i(w) - n(w). Differentiate z(y) with respect to y.\nAnswer: -293","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 9*o**2 + 10*o**2 + 39796052 - 39796052.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2982, 6209, 9702, 13461, 17486, 21777?\nAnswer: 26334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let d(v) = -2*v - 4. Let j be d(-3). Let n(g) = -3 + 2 + 1 + 5*g**j. Give n(y(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (0 - (12 - 21)) - 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22214*c**3*y**2 + 2*c**3 - 146*c**2*y**3 - c**2 - 4*c - 1159068 wrt y.\nAnswer: -44428*c**3*y - 438*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*s**2 - 8*s**3 - 49*s**2 + 94*s**2.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + 0*z)*(1 - 3 + 3)*(0 - 2 + 0).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (42\/12 - 4) + 76\/(-8). Let c(q) = 2*q - 5. Let p be c(-4). Let j = y - p. Let w(x) = -x. Let f(t) = -3*t. Give j*w(l) - 2*f(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = z + 2*d, 52*z - 50*z - 5*d = -15. Solve 0 = 2*n, -z*i - 18 = -5*n + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/9, 21.9, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 + 3*q**2 - 111 + 60 as k + c*q + a*q**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -38, -3, -4.\nAnswer: -38, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16864*k + 16866*k - 72 = 0 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3676*d**2 - 17020*d?\nAnswer: -7352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-9) + 175\/(-105)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-19*o**2 + 19*o**2 + 7*o**4) - 41*o**4 + 4921*o - 4921*o in the form s*o**2 + a*o**3 + h*o + i + c*o**4 and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5 - 20. Suppose 4*j - 15 = -j - q*o, -3*o + 5 = 2*j. Let c = -31 + 31. Solve c*b + j = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13299 divided by -1209.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246.3 + -247. What is the third smallest value in 24, 0.2, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247534768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7908173 to the nearest integer?\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300030, 600061, 900092, 1200123?\nAnswer: 1500154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/293 and -9\/11.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*b - 11. Let u be (-91)\/1*(-1200)\/b. Round u to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/1820*-8*((-2835)\/(-42))\/(-9).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/((f*f*f\/(f*f**(1\/4)\/f*f*f))\/f*f))**13)**(2\/9))**(-26))**18 assuming f is positive.\nAnswer: f**(-338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z**2 + 11. Suppose 4*n - 45 = -q, -n + 9*q + 15 = 13*q. Suppose 2 - n = -i + 5*m, 2*i - 5*m = 3. Let p(j) = 9*j**2 - 6. What is i*l(x) - 11*p(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 10*x**2 - 61*x - 20. Determine k(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-5*(-3)\/330?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.11417, -4, -3, 0.8, -1, -2.1, -2\/9?\nAnswer: -0.11417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45612555 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -523*m + 1957.\nAnswer: -523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 238 = -6*l. Let d = -593\/5 + l. Determine g so that 3\/5*g**2 - 1\/5*g + 1\/5*g**3 - 1\/5 - d*g**4 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1524\/16)\/(9\/24). Suppose h - 632 = 5*q, y = -2*q + h - 0*h. Let c = -111 - q. What is the highest common factor of c and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(10\/13)*c**10)\/(c\/c**(-4\/7)*c\/(c*c**(-36))) assuming c is positive.\nAnswer: c**(-2439\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-12 - -11)) + (-144 - -141)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.4 and 312.\nAnswer: 321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -712*b + 5801. Give t(8).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h, 1423 = -2*c + 6*c - 5*h. Suppose 45*o - c = 42*o. What is the hundreds digit of (o\/(-21) - -5)\/(2\/(-537))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 2*r - 3*r)*(-2*r - 1 + 1) + 4691*r**2 + 4526*r**2 - 8363*r**2 to the form d*r + q*r**2 + v and give q.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 176 and 0.1?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 242\/50 + (-11 + 27 - 3) + 7 + -25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 14) to base 13\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - -0.8. Let i = j - 0.3. Which is the third smallest value? (a) -0.4 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -849033284 divided by -242.\nAnswer: 3508402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*(3\/9)\/((-215)\/(-860)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 100540094, 201080194, 301620294, 402160394, 502700494?\n\"Answer: 100540100*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2911\/104 - 515\/13. Is p less than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 17 = -28. What is the remainder when 2\/7 + (-194)\/(-7) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 13*a = -18*a + 5, -5*m = 5*a - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -173100?\nAnswer: -173103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {v: 1, s: 1, x: 2, m: 3, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1057 and 24.\nAnswer: 25368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2358*m**2 + 17*m + 48. Let r be a(-8). What is r rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + -12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, 6, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -121*u - 6. Let a(d) = -6438*d - 319. Let p(k) = -6*a(k) + 319*w(k). Let i(x) = 20*x. Give p(i(j)).\nAnswer: 580*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**2*o**3 + 34*l**2*o**2 + 256*l*o**4 + 2*l*o + 11*o**3 + 33*o**2 - 6 wrt o.\nAnswer: -30*l**2 + 6144*l*o + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422003199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 2*d. Let u(i) be the second derivative of 0*i**2 + 1\/12*i**4 + 1\/6*i**3 + 2*i + 0. Calculate -5*h(s) + 8*u(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**4\/10 + 2*x**3\/15 + 11. Factor n(y).\nAnswer: 2*y**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 326388956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(22) - sqrt(220)\/(-2*sqrt(10)))\/(3*sqrt(176)) - (-2*(sqrt(2) + 1)*2 + -5)).\nAnswer: -27 - 99*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1637, -6540, -14711, -26150?\n\"Answer: -1634*q**2 - q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-6))\/(812\/(-203))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -7)*(-2)\/3. Suppose -6*x = -2*x + 200. Let o be x\/15*12\/(-5). Solve 24 = -n*a + 4*s, -s + o = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -3)\/(4\/(-1796)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2511*p**4 + 2*p**3 + 5*p**2 + 11016635*p wrt p?\nAnswer: -30132*p**2 + 12*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/23670 and -169\/51912.\nAnswer: 68264280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.016044 and -485.\nAnswer: -485.016044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1605\/2 - -840. Let p(s) = -386*s**2 + 3*s + 4. Let o be p(-1). Let q = 3837\/10 + o. What is the common denominator of q and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6128119 take away -1706.5?\nAnswer: -6126412.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*g - 20. Let l be (-10)\/4*((-7)\/g - -3). Let o = l - -115. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 2\/19, 0, 3, 2961\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 1. Let d(l) = 50*l - 42. Let c(y) = -d(y) + 5*m(y). Let r be c(4). Let z = 300 + r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41 and ((-122)\/(-30))\/((-38)\/114).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -27444?\nAnswer: 27444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1 - 2 + 8*j**2 - j**2. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23347771 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 328593514632169 + 2\nAnswer: 328593514632171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgmmddmmmmdmmdmmmz. What is prob of sequence ggz?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y. Let i(m) = 13*m. Let q(d) = 2*i(d) + 9*t(d). Calculate q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02531576 and 0.1.\nAnswer: -0.002531576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1508 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -70683\nAnswer: -1\/70683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 2. Let w = s + -26. Suppose w*q + 774 = 11*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -17\/27, -8, -3 in decreasing order.\nAnswer: 0.2, -17\/27, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13*o - 140. Give p(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 6. Suppose -3*q - 9 = 9. Determine p(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f - 518 = -628 - 673 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34798.\nAnswer: 2, 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*q - 13. Calculate the remainder when (-129)\/(-30)*140\/14 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**(2\/13)*m)\/m*m*m**(2\/23))**(-4\/5))**(-12) assuming m is positive.\nAnswer: m**(46512\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 = -2. Let z be (k\/(-6))\/(1\/2). Let o = 14 - z. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 272, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 688232*i - 2800. Let t be j(25). What is t rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 310 = 373. Let p(k) = -8*k. Calculate the remainder when p(-2) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-7)\/(-21))\/((-8)\/6).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127462442 to the power of 1\/2, to the nearest integer?\nAnswer: 33578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25890.\nAnswer: 2, 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {g: 1, l: 2, x: 1, b: 4, r: 3, u: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42414207 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/8067 and 173\/30.\nAnswer: 80670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37409862?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 15 = -r, -268*r = -279*r + 4*q + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 y when three letters picked without replacement from {l: 4, y: 2, t: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 113, 145, 211, 323, 493, 733, 1055?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-178)\/(-15) + 6\/45. Let y(m) = -m**2 + 7*m - 8. Let v be y(6). Is u\/4 + (v - -160) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t**2 - 2305554*t + 6916657*t - 2305553*t - 2305550*t.\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**3 + 291*o**2 + 4*o - 4. Let j(y) = 29*y**3 - 1452*y**2 - 22*y + 21. What is 11*g(f) + 2*j(f)?\nAnswer: -8*f**3 + 297*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.398 and -142070749652.\nAnswer: -142070749651.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) - sqrt(720))*-2 - sqrt(720) - (sqrt(720) + 1)*6.\nAnswer: -84*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -25. Let j = x - 23. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97654640 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/4)*h))**7)**(-2\/9)\/(h\/((h\/((h*h**9)\/h*h))\/h)*h**(2\/5))**(-1\/52) assuming h is positive.\nAnswer: h**(1423\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 1. Let r be g(4). Is 3*1*(-1285)\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048621273 rounded to 4 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341456052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:10 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:32 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.4 from 120.\nAnswer: 126.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2319 - 394 + 862)*(55*v**2 + 2*v**3 + 56*v**2 - 114*v**2) in the form p + l*v**3 + y*v + k*v**2 and give k.\nAnswer: 5553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + o - 7 = 0, 0 = -4*g + 8*g + 3*o - 5. Let n(z) = -z + 6. Let c = -13 - -19. Let v be n(c). Solve 0 = 3*q, g*p + v = -3*q + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 + 9*n + 2. Let w = 2287 + -2282. Determine o(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)\/(532\/42 - 13). Suppose s - 20 = -w*s. Sort 32, -5, 4, s in descending order.\nAnswer: 32, s, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (180\/(-14))\/((-147)\/686). Suppose 49*v - u*v = -66. Calculate the smallest common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*n + 3000 = 147*n. 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 next in -9781047, -19562094, -29343141, -39124188?\nAnswer: -48905235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2 + 0 + 108*n - 2\/3*n**3.\nAnswer: -2*n*(n - 18)*(n + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/127))**(-8\/5)*i**(-6\/19)\/i**37 assuming i is positive.\nAnswer: i**(-449911\/12065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v - 52*v = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (366\/(-18) - 1)\/((-4)\/66)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (5*sqrt(20)\/sqrt(4))**2) - (sqrt(40)*-2*-2)\/(sqrt(8)*-1*-5).\nAnswer: -4*sqrt(5)\/5 + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 11\/(627\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (150\/180)\/(4\/24). Solve -2*s + 3*x = 2, -3*s + k*x + 5 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55820 = -19*v + 15*v. Suppose -v = -22*d + 1731. Is d a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3ddb3 (base 14) to base 15\nAnswer: 307ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6, 0.3, -3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28764, 57523, 86282, 115035, 143776?\n\"Answer: -u**3 + 6*u**2 + 28748*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.3643 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - 2044 - z**2 - 2*z**4 + 2044 - 5*z + 0*z**2 to the form s*z**2 + v*z**4 + l*z + o + a*z**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/(-130)*8\/(-18))\/((-10)\/135).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.74 + -0.4. Let w = j + -0.3. Let i = w + -0.0436. Round i to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80957116 a multiple of 787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 2575201.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 23148366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 8, -4*t + 2*z - 2 = -10. Let p = -1101.8 + 1102. Put 0.06, 0.5, t, p in descending order.\nAnswer: t, 0.5, p, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 28. Let b = 26 - i. Is 5 a factor of b\/(-2)*256\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482\/(-2912) + (-8)\/(-14)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 17*w**7\/2520 + 3*w**4\/2 - 14*w. Let b(a) be the third derivative of v(a). Let g(p) = -p**2. Determine g(b(m)).\nAnswer: -289*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 3. Let g be q(2). Let r = -0.211 - 5.589. Let v = -5.6 - r. Which is the third smallest value? (a) v (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 14ff41?\nAnswer: 14ff3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10307099 - 7.\nAnswer: 10307092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 11*i - 15. Let r be d(12). Let z be 2 - (-38)\/(-8) - -2. Which is the closest to r? (a) 5 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 397*c. Let l(x) = 10449*x + 12. Give g(l(a)).\nAnswer: 4148253*a + 4764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 450 - 36. Calculate the highest common factor of 621 and w.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -598 + -0.1297131.\nAnswer: -598.1297131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13 - 5*l - 17 - 8*l. Calculate the lowest common multiple of 12 and q(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19 + 11 - 30 + 35*r - 331*r + 154*r**5 wrt r?\nAnswer: 3080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.06989 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -35*k - 309. Determine x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (-417 + 401 - (2 - (6 - -3)))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6907*j + 2. Let c(y) = 11*y**2. Calculate c(q(p)).\nAnswer: 524773139*p**2 + 303908*p + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8*(-10)\/(-60)*(-139143)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 213. What is the highest common divisor of 70 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3780*o - 15140. Calculate h(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 152784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1020 divided by -34\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 2 + sqrt(72) + -3)**2.\nAnswer: -22*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, t: 2, l: 1, d: 1, q: 2}. What is prob of sequence qw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -763, -3121, -7053, -12559, -19639, -28293, -38521?\n\"Answer: -787*y**2 + 3*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13044890 is divided by 1555?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -3. Let l = -56 + 167. Let h = -107 + l. Which is the nearest to 1\/4? (a) h (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c**2 + 2*c - 44. What is the remainder when i(3) is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31922 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319176 and 462033?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 19517?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 1659*v - 3319\/2.\nAnswer: (v - 1)*(v + 3319)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6627967 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 2)*(3*p - 182 + 13*p + 179 + 247) to the form g + f*p and give g.\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6707033328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-2 + 2 - 1)*(-8*v**3 + 8*v**3 - 28*v**3).\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-269)\/(-55) + (-7)\/(-35) and 13\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (96\/64)\/((-3)\/(-6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from xxxttxtixxtttstx?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 46.44236 grams?\nAnswer: 0.00004644236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4099 - 4125.832. Let r = 26.64 + 0.36. Let m = r + s. What is m rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -9, -61, -175, -375, -685, -1129?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - 15*v + 15. Let f be d(-8). Let b = f - -61. Solve -o + 3*p = -7, -5*o + b*p - 14 = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 7*u - 4. Calculate the smallest common multiple of -10*8\/16*(-2 + 0) and f(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 514?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Suppose 4*j + 32 = a*r, 11 + 14 = -5*j. Suppose -16 + 32*x + 0*x**4 + 8*x**3 - 8*x**4 + 7*x**r - 24*x**2 = 0. What is x?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -466904*s + 1243526.\nAnswer: -466904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 1.14. Let i = -0.03 + 6.03. Let w = d - i. Round w to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -540.25 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -2\/15, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2141 + -1?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:39 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4174780 to the nearest integer?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18 = -5*d + 5, 0 = 4*d + 5*m - 21. Suppose i = -11 - 24. What is the units digit of i\/(-14)*d\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0085915 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/q*q)\/(q*(q\/q**20*q*q)\/q))\/(q**(7\/4))**(-32) assuming q is positive.\nAnswer: q**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -18. Let k(p) = -7*p**2 + 10. Suppose 0 = -6*t + 4*t + 10. Let q(m) = 6*m**2 - m - 9. Let y(o) = t*k(o) + 6*q(o). What is y(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 18 + (-2 - 6 + 1)*(-2 + 2 + 2))*(4*o - 2*o + 2*o).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/40257 and -76\/332829?\nAnswer: 23630859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -47. Let q(u) = 10*u - 14. Suppose 0 = 6*b - b - 35. Let c(r) = 3*r - 5. Let v(i) = b*c(i) + k*q(i). What is the derivative of v(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92\/202919 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(500) + -1 + -5)**2.\nAnswer: -260*sqrt(5) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1707907*i**2 - 2360668.\nAnswer: -3415814*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123445 is divided by 1187?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1182155484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 90*j - 6926. Calculate n(77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -20.39\nAnswer: -16.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210791\/10 - 21080. Find the common denominator of 4\/(-10) + 682\/180 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2\/13 (b) -41.47 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 2*r**2 - 3*r**2. Let u = 0 + 3. Let s(y) = -y**2 - 4*y + u*y + y. Give s(q(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0)\/(7\/((-833)\/2040) + 17)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.2, 5, -976, -19, 1 in decreasing order.\nAnswer: 5, 1, -0.2, -15, -19, -976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 150368 + 8287. What are the prime factors of p?\nAnswer: 5, 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3364009458.\nAnswer: 2, 3, 103, 409, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f + 3 = 0. Let g = f + 4. Let l(r) = -2 + 5*r**g - 4*r**3 - 3*r**2 - 3*r**3 - 2*r. Calculate l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 12 + -10 - (-63)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -274c0c2 (base 14) to base 11\nAnswer: -a804a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/13)\/m)**(1\/82)*(m**(2\/9)\/m)**36)**(-2\/11) assuming m is positive.\nAnswer: m**(29863\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 2*v**2 - 4*v - 3. Let o = 2 - 4. Let a be i(o). Find the third derivative of -a*h**5 - 14*h**2 + 15*h**2 - h**4 + h**4 wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**7\/840 + g**6\/45 + g**5\/15 + g**4\/3 - 4*g**3\/3 - 123*g**2. Let s(p) be the first derivative of k(p). Calculate s(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whbl when four letters picked without replacement from qhhbwlg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226 + -1304.73?\nAnswer: 3921.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b + 82. What are the prime factors of d(0)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Let r be 4\/(-22) + (-129)\/(-165). Sort u, r, -1.\nAnswer: -1, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(95)*2 + -1*(sqrt(95) + 1*sqrt(95)))\/(sqrt(720)*2 + sqrt(180) + sqrt(180)*3).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.3, 2.99, -1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 3. Let x be g(-6). Suppose -5*r = z + 3*z - 18, -r + 2 = 0. Suppose 0 = 3*h - z*h - 4. Sort h, -1\/6, x in decreasing order.\nAnswer: h, x, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61177 + 237?\nAnswer: -60740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 - -132. Let b = -0.29 + 0.3. What is the closest to 2\/3 in b, -0.4, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.56 + -7.44. Let h = -1412 + 1421. Which is the closest to -1? (a) s (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2 + 46561*a - 861638 wrt a.\nAnswer: -6*a + 46561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -29*p**2. Let m(n) be the first derivative of -2*n**3\/3 + 2740. Calculate u(m(y)).\nAnswer: -116*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d + z = 23, d - z - 19 = 0. Suppose -d = 3*p - p. Let c(j) = -j**2 - 9*j - 1. What are the prime factors of c(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 45135214?\nAnswer: -45135215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 1 - 3*d**2 - 7 + 8 as s*d + z + w*d**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)\/(u**3*u))**(-27\/5)*u**(-3\/8)*u**(-3)\/u*(u*u**(-2\/3)\/u)**(-2\/7) assuming u is positive.\nAnswer: u**(13333\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 3:19 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8*(-10)\/200)\/((-21)\/(-15)). What is the biggest value in 0.345, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72809 divided by -6?\nAnswer: 72809\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 195. Let v be g(43). Let j = -362 - v. Suppose 2*q + 2*t = 4*q - 20, 4*t + 16 = 0. Calculate the least common multiple of q and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 180\/135*(21\/12)\/1. Let -5*q**2 + 5\/3*q**4 - s*q - 1\/3*q**3 + 2\/3 = 0. Calculate q.\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97 and 0.033?\nAnswer: 3.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261264974?\nAnswer: 2, 3631, 35977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 - 7*y - 4. Let m be u(-5). Let l be 1048*(-1 - m*4). What is l rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -123455?\nAnswer: -123463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(550)*1)\/(3*(sqrt(176) + -6*(sqrt(176)*-1 - sqrt(176)) + sqrt(176))).\nAnswer: 5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 4335376?\nAnswer: -4335379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 4*p - 31, 0 = 3*z + p - 104. Suppose 9*f = 4*f + z. Calculate the smallest common multiple of 2 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - r - 6 = -0, -2*r - 6 = -4*o. Let z(t) = t**3 - 6*t**2 + 5*t + 6. Let g be z(5). What is the greatest common divisor of g and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + -19. Let h = v + 26.9. Let q = 5\/2 - 11\/4. Which is the closest to h? (a) 5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285347867 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*z - 75, r + 3*z - 13 = 32 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 232 = 4*a + 8*k, -a + 2*k - 55 = 0. Let o = 63 + a. Let b = 24 - 0. What is the least common multiple of b and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 7) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*((sqrt(432) - (sqrt(432) + 1)*6) + (sqrt(432) - (sqrt(432) + 0))*-3 + 4)**2 + -4.\nAnswer: -10811 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from squtqussssqu. What is prob of picking 2 s and 1 u?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 1293404?\nAnswer: 1293404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59.3 - 59. Which is the nearest to -2\/5? (a) -2\/7 (b) f (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-165))\/(2\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = a - 1 + 10, a + 17 = 3*b. Let o be -2*1\/b - 50766\/(-12). Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**2 - 21*h + 188. Let i be x(10). Let u = 760 + i. Solve -u = 2*g - 44 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*v = 164*v + 79*v - 34681 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13208 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2739603 - 2739588.999985. Let r = l + -14. Round r to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*((-2*b + b + 2*b)*(-39 - 4 + 14) + 4*b - 5*b + 0*b).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = r + 3*h, -3*r + 32 = h - 8. What is the remainder when r is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 12*i + 33. Let v be n(-14). Solve -v*d + 4 + 21 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 404028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 82?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/120 + h**5\/5 + 11*h**4\/24 + h**3 - 8*h**2. Calculate the remainder when 15 is divided by v(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/12)\/(6\/135). Let r be (8\/6)\/(5\/j). Solve -k = -0*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 5\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13540527 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-173)\/(-4))\/(2\/16). Suppose k - i = 5*d - 15, -3*d + 2*k - 193 = 0. Let z = -47 - d. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose h*d = 3*d - 12. Let m(b) = 4*b**3 - d - b**2 - 6*b**3 + b**3 + 3*b - 3*b**2. Calculate m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, b: 1, v: 2}. What is prob of picking 1 v and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*o + 18, -2*z = 2*o + 3 + 3. Let x be (-186)\/(-9)*(-24)\/z. Does 15 divide (x\/8)\/(-1)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:35 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.9 + 3.2. What is the third smallest value in 0.2, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f**3 + 2)*(2*f - 11 + 11) - 5*f**4 - 3 + 3.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/19 (b) -1 (c) 3 (d) 1760.4 (e) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/30*(-5)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1540 and 22.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s = -18*s + 144. What is the smallest value in 3, -1\/8, s, 47?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 48. Calculate the remainder when 84 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1354.003615 + -0.16.\nAnswer: -1354.163615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g**2 - 319258*g**4 + 8*g**3 + 319255*g**4 + 82*g**2 to j*g**4 + n + s*g + o*g**3 + y*g**2 and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/((-7 + 19)\/(-36))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14058805 to the power of 1\/2, to the nearest integer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(sqrt(171) + sqrt(171) + 1) + (sqrt(171) - ((sqrt(171) - (sqrt(171) + sqrt(171) + 1*sqrt(171))) + sqrt(171)) - sqrt(171))*-6)**2.\nAnswer: 120*sqrt(19) + 2756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274*s + 191*s - 90*s)*(-2*s**3 + 3*s**3 - 2*s**3) + 2*s**4 + 3*s**3 - 3*s**3 + (3 + 4 - 5)*(s**4 - 4 + 4) + 3*s**4 - s**4 - 3*s**4.\nAnswer: -372*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 4:26 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + -7 + (-19 - (-1 - -8) - -30).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:23 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4 + 5780*t**3 + 2292785*t**2 + 9101620*t + 9078420 = 0 for t.\nAnswer: -309, -2, 1469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:06 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56731*c**2 + 58196*c**2 + 58188*c**2 - 173121*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 14. What is the nearest to -0.2 in m, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5498774?\nAnswer: 2, 2749387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11053*b + 55265. Let t be r(-5). Let q(n) = -n**2 - 5*n - 2. Let i be q(-2). Solve i*s + 4 - 8 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437897.25 hours to weeks.\nAnswer: 2606.53125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48961 (base 15) to base 2\nAnswer: -111000100011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.9 - -39. Which is the closest to d? (a) 4 (b) 0 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45830088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -26 + 9*w**2 - 6*w - 8*w**2 + w**3 + 4*w**2. Let k be l(-5). Solve -1 - k = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) -2\/9 (c) -27\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.091, -0.0561, -1?\nAnswer: -0.0561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.8818 take away 48?\nAnswer: -173.8818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from xysxmsyyxxxxxxsxyxx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Let d(l) = 28*l**3 - l**2 + 8*l + 9. Let x be d(-1). Let p be (-2)\/(-14) - 6*18\/x. Which is the third smallest value? (a) -2\/5 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -988*n - 8. Let u be s(-1). Which is bigger: u or 981?\nAnswer: 981","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6418154*d*h**2*m**2 - 223425*h**2*m**2 - 12*h**2*m wrt d?\nAnswer: -6418154*h**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 + 4*o + 3. Let r(a) = 3*a**2 + a + 1. Calculate 14*r(h) - 4*w(h).\nAnswer: 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*r = 3*r - 2, -r + 4 = 2*p. Suppose -2*q = d - p, 4*q - 8*q + d = 2. Which is smaller: q or 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from holomhfkfflmkfkllkff. Give prob of picking 1 l and 1 f.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149 + -51?\nAnswer: -51.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 5*i)*(-67 + 397 + 165 + 385 - 160).\nAnswer: 2160*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-174930)\/441)\/(3 - (-11)\/(-3)) is divided by 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-10)*g)\/(g\/(g\/(g*g**(-5))*g)))**(-3\/4)*(g*g*g**(2\/7))**(1\/5)*(g**6\/g)\/(g\/g**0*g) assuming g is positive.\nAnswer: g**(799\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -443026*s**4 - 2*s**3 - 6609094*s**2 wrt s?\nAnswer: -10632624*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*(-15)\/10)\/(0 - 1). Find l such that 2\/7*l**4 + 0*l + 0 + 4\/7*l**u + 2\/7*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1584.000010507 - -1584. Round o to 7 dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2039 - 257 = 713717*q - 713690*q for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/20 - 2*d**3\/3 - 3*d**2\/2 - 12*d. Suppose -2*g + 2*m = -6, 0 = -g - 4*g + 2*m. Determine h(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 - -39) + 29 - (-1 + 23)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11436, -11442, -11460, -11496, -11556, -11646, -11772, -11940?\nAnswer: -12156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/2*(0 + -1). Let d = h + -11. Find u, given that 8*u**3 - 1 + 17*u - 1 - 12*u**2 - 2*u**d - 9*u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443.02 take away 0.5?\nAnswer: 3442.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 193155 divided by 23\nAnswer: 193155\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 2, d: 1, p: 2, e: 10}. Give prob of sequence dm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*p - 655 - 840 - 180 + 47*p**2 wrt p?\nAnswer: 94*p - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1076 - 1075. Which is the nearest to 2\/7? (a) -0.4 (b) -76 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((1*sqrt(65) + sqrt(65) - sqrt(65))\/sqrt(5) - (sqrt(13) + 1)*-5) + -5)**2 - (-4 + (sqrt(117) + 0)**2)*-1).\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3043306 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1223300 + -210?\nAnswer: -1224010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 5*j**2 + 4*j - 20. Let p be h(5). Solve p = -7*g - 46 + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in 27, 0.6, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 105*d + 8. What is the units digit of p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(13\/3)*q*q*q**(-11))**(-32) assuming q is positive.\nAnswer: q**(448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2 - 1302436*o + 15629520 = 0.\nAnswer: -651230, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103.1 + -54901089534\nAnswer: -54901089430.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25712579*z + 131641230*z + 205681536*z.\nAnswer: 363035345*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 89376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1695 is divided by 149.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (1 - (0 - (2 - 9)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 3*z**2 + 57*z + 4. Let w(t) = 4*t**3 - 11*t**2 + 173*t + 13. Give 7*g(q) - 2*w(q).\nAnswer: -q**3 + q**2 + 53*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 6*k**2 + 5*k - 7. Let t be c(-7). Let j = -7 + t. Suppose 4*m + j*m = -216000. What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 237*g**2. Let y(t) be the first derivative of -64*t**3\/3 + 296. Determine k(y(w)).\nAnswer: 970752*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345920 + -345920.929812. Let b = -0.93 - q. What is b rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53192 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3*z - 6 - 7.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*u = 2, 18*u - 13*u = -i - 10. Let f(m) = -m - 14. Calculate f(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 177. Suppose 3*q + 0*q - j = -a, -a = q - 19. Is 18 a factor of ((-405)\/q)\/(9\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390 smaller than 1391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30037878 and 6885.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13))*6 - sqrt(156)\/(sqrt(12)*2).\nAnswer: -6 + 11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1923870 to the nearest ten thousand.\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/22125 and -119\/18000?\nAnswer: 1062000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*o**3 - 1053*o**2 + 1434*o + 864 = 0. Calculate o.\nAnswer: -9\/20, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15123\/7 or -2160?\nAnswer: -2160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8879\/4 + 2221. Let z(c) be the second derivative of 0*c**3 + 0 + t*c**5 - 2*c**4 + 0*c**2 + 18*c. Find the third derivative of z(q) wrt q.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 0)*25\/15. Suppose 2*z + x*j - 19 = 4*z, 2*z = -5*j + 31. Solve -z*p + 7*p + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8737178, -17474329, -26211480?\nAnswer: -34948631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 973 = 5208. Suppose -3 = n, 2*z - n - s = -3*z. Let k = 254 - z. What is k rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/120 - 7*q**5\/60 + 7*q**4\/24 - q**3\/2 + q**2. Let u be p(6). Let v(g) = -9*g + 10*g - 2*g. Determine v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269 - -269. Factor -3\/4*g**5 + 3\/2*g**4 + 3\/4*g + k + 0*g**3 - 3\/2*g**2.\nAnswer: -3*g*(g - 1)**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 18, j: 1}. What is prob of picking 1 j and 1 n?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39981203 - 3\nAnswer: -39981206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 803975525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.3 + -33. Let o = x - 0.3. Let p = -22.8 - -23. Which is the closest to -1? (a) p (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 3*j**5\/20 + 7*j**4\/4 + 7*j**3 + 12*j**2 - 42*j. Suppose i(o) = 0. What is o?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113310 divided by -6\nAnswer: 18885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10364, 10365, 10366, 10367?\nAnswer: 10368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n + 5 = 52*n. Sort 4, n, 2, -3.\nAnswer: -3, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 + 2*z + 9. Let l(s) = 3*s**2 + s + 3. Let f(y) = 11*l(y) - 4*r(y). Let i be f(-4). Which is the nearest to 0.3? (a) -2\/3 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o*o**4)**(-19)*(o**(-1\/2)\/o**(-1\/5))**(2\/29) assuming o is positive.\nAnswer: o**(-8268\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = -11, -41 = -2*k + s. What is the highest common divisor of k and 455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -53.6. Which is the second biggest value? (a) 2\/3 (b) -1 (c) i (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10624938 is divided by 274?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17744, -35407, -52948, -70349, -87592?\nAnswer: -104659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g - 2. Let j be z(-3). Let v = j + 1. What is the second derivative of -3*s + 0*s**5 - s**v - s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -24, -4, 10, -0.008, -3?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -32. Suppose -n + b*z = -21, -2*n = -4*z + 3*z - 62. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 154682 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12488 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**2\/2 - 42. Suppose 4*d + 1 = 9. Let c(t) = -8*t**d - 6*t**2 + 8*t**2. Calculate c(v(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-120)\/(-75))\/(((-4)\/5)\/2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1069*v - 21. Let p(d) = -d**2. Determine p(f(c)).\nAnswer: -1142761*c**2 - 44898*c - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 5 + -1 + sqrt(19) + 2*-5*sqrt(475) + 4)**2.\nAnswer: -1078*sqrt(19) + 45740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 4*y + 12. Let t(g) = -23*g + 184. Let b be t(8). Calculate the lowest common multiple of 24 and m(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**3 - 642*j**2 - 1275*j - 636 = 0.\nAnswer: -212, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 8. Let d be u(-13). Let l be -3*3\/(-36) + (-45)\/(-60). Solve j - l = -d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*z - 182*z = 63 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/((-520)\/(-4))*4\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -275897749.5 rounded to the nearest 10000?\nAnswer: -275900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*x + 2*q - 12, -4*x - 24 = -4*q. Let h(z) = z + 2. Let t(n) = -n - 2. Calculate x*t(w) - 6*h(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 5*m**2 - 6*m + 6. Let r(b) = 4*b**3 - 6*b**2 + 7*b - 7. Let c(a) = -6*q(a) - 5*r(a). Let n(g) = -g + 1. What is -2*c(p) - 2*n(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 244817 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*v = -314, -p - 4*v + 43 = -119. What is the greatest common divisor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2110, -1.0663?\nAnswer: 2110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from jyyhyyxyhxoojyy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27157\/9768 + 14\/1221. Find the common denominator of -13\/9 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493344.621 nanoseconds to weeks.\nAnswer: 0.0000000008157153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {l: 3, p: 3, o: 1, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2760 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2098428 = 63*k + 38580. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2116 and 4214?\nAnswer: 4458412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 59. Suppose -18*g = -s*g - 10. Solve -o - o - 3*x = 0, g*o + 5*x = 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 - -434833.\nAnswer: 434832.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1003314?\nAnswer: -1003315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)\/(w**7*w))\/(w*w\/(w**(-2\/13)*w)*w*w)**16)**2 assuming w is positive.\nAnswer: w**(-7652\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 15 + 21*w**3 + 57 - 246*w + 1454*w**2 - 1481*w**2 = 0?\nAnswer: -3, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/15, 3\/2, 11, -2?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 0*g + 4*g)*(0*g**2 - 5*g**2 + 3*g**2).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78541597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)*2*-5)\/(-1*sqrt(144)))\/(sqrt(32)*-3 - sqrt(8)*1).\nAnswer: -5*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068714 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -22*y + 88. Let z be i(4). Let g = 0.37 - 0.4. Let l = g - -0.53. Sort 0.4, z, l in descending order.\nAnswer: l, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2, 3, 1 in increasing order.\nAnswer: 1, 2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 - 212075*n**2 - 14536321*n - 21327306 = 0.\nAnswer: -67, -3\/2, 106106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*x - 6 - 0, x = 2*p + 10. Let b be (22\/8 - 2)\/(p\/80). Let h(j) = -9*j - 4. What is the tens digit of h(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 - 13 = -4*h, 26 = 2*h - 4*z. Let q(v) = -19*v**2 + 22*v - 2. Let s(o) = 3*o**2 - 4*o. Let w(r) = -2*q(r) - 13*s(r). Calculate w(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*u - j = 6, -5*u - 14 = -3*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154670 and 89730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1856*v**2 - 296958*v + 300. Determine h(-160).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 5*y - 3*y**2 + 8*y)*(-2 + 19 + 16) to k*y + i*y**2 + o and give i.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*g = 7*g - 37, -4*w - 31 = -3*g. Let z = 2 - 2.1. Which is the third smallest value? (a) z (b) w (c) -0.4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.072 times 0.4\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*o - 37499, -49960 = -4*v + 15*o - 12*o. Suppose v = 8*a + 1229. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1831, -7141, -15851, -27877, -43135, -61541?\nAnswer: -83011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.544 + -0.044. Let i = v - 32. Let d = 17 - i. What is the nearest to 0 in d, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 120*h + 90. Give t(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-8))\/(12\/32). Suppose d*l - 33 = 17. Find the third derivative of 24*f**2 + f**3 - l*f**4 - f**3 + 3*f**4 wrt f.\nAnswer: -528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 18.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 714499\/2 or 357250?\nAnswer: 714499\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18144)\/448*(-6)\/(-18)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20548, 41092, 61636, 82180?\n\"Answer: 20544*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618259987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -27. Let n(y) = -6*y - y + j - 5. Is 14 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4890*6)\/(4 + -2). Is q at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m - 54*m - 2 = 2*k, -3*k + m = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2. Let h(i) = -13*i**2 + 1. Let j(x) = -2*x. Let z be j(-2). Suppose 4*w - z*q = -3*q - 10, 8 = w + 5*q. Calculate w*h(r) + 9*s(r).\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x + 5*j - 4, -4*x = -2*j + 16. Let s(l) = 39*l + 4 - 12*l - 15*l - 9*l. Let o(h) = -h - 1. Calculate x*o(g) - s(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 98574.\nAnswer: 492870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9179294.5 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 24. Differentiate -9 - 9*x + 2 + r wrt x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) 5 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3927117, 7854239, 11781361?\n\"Answer: 3927122*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0912 times 303.1\nAnswer: 27.64272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -15. Suppose -5*b + 290 = 2*t, -w*t + b + 290 = -b. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.56 - -3.46. Let i = -0.4 - 0.1. Which is the nearest to u? (a) -4 (b) i (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u + 2*u + u - 3*u - 3*u + 5*u + (-3*u - u + 5*u)*(2 - 2 + 2) + 0*u - 2*u + 3*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -553, -3, 555, 1127, 1719, 2337, 2987, 3675?\n\"Answer: y**3 - 2*y**2 + 549*y - 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 + -78. Suppose -3*m = -5*h - 35, i = 5*m - 0*m - 3*h. Calculate the highest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26508, 106065, 238698, 424437, 663312, 955353, 1300590?\nAnswer: 1699053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3971a2 + -22?\nAnswer: 397180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = 6*z + 245, -399*f + 160 = 2*z - 405*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52907456.\nAnswer: 2, 7, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(112) + -1) - (sqrt(126)\/sqrt(2))**2) + -2.\nAnswer: -64 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5241, -10576, -15911?\nAnswer: -21246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 46*h**3 - 17*h**3 + 43*h**3 + 3*h**3 - 12*h**3 to i + o*h**2 + q*h**3 + b*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(19) + (2*sqrt(76))**2.\nAnswer: sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24262 and 930907189?\nAnswer: 930931451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161139*i**4 + 321377*i**2 wrt i.\nAnswer: 3867336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**5 - 30*y**4 + 51*y**3 - 33*y**2 - 3*y + 3. Let q(w) = 20*w**5 - 89*w**4 + 154*w**3 - 97*w**2 - 8*w + 8. Let k(g) = 8*o(g) - 3*q(g). Factor k(l).\nAnswer: -l**2*(l - 3)**2*(4*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/8 + 257\/104. Suppose -5*s = -s. Suppose 3*k = 3*v + 4*k + 2, s = v - k - 6. Which is the closest to v? (a) n (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 374*v**2 + 2*v + 2. Let z be y(-1). Suppose 526 = 4*w + m - 237, 0 = -2*w + 2*m + z. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724 = 2*x + 2*t + 2*t, -5*x + 5*t = 1795. Round x to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i + i)*(0 + 1 + 0) - 17*i - 24*i + 52*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58438 and 253333?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6675.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/6 + 3*r**2 + 2516*r. Suppose -4*p - 49 = 5*h, 3 = -5*p + 2*p + 3*h. Give k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**32*(v\/v**(-2))**5 assuming v is positive.\nAnswer: v**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 24784.\nAnswer: 1\/12392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i**2 - 7435*i**3 + 7*i**2 + 745*i**3.\nAnswer: -6690*i**3 - 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Suppose -42 + 9 = 3*a. Let c = a - -19. Let f(h) = -c + 3 + 5 - h**2. Calculate f(v(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 3*f**2 - 3*f + 6. Let i(o) = -2*o - 4. Let c be (-6)\/(-9) + (-14)\/3. Let x be i(c). List the prime factors of u(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13724549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007535439 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 10*a**2 + 3*a + 12. Let p be m(-10). Suppose 0 = -5*t + 4*k + 140, 12 - 37 = -5*k. Let y = p + t. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 + 24*o**2\/11 + 42*o\/11 + 20\/11.\nAnswer: 2*(o + 1)**2*(o + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 5136.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2512, -2493, -2450, -2371, -2244?\n\"Answer: 2*k**3 + 5*k - 2519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y. Let r(d) = -6*d. Calculate r(o(a)).\nAnswer: -90*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 3*a + 2, -5*p + 14 = -4*a. Let m be 3\/(-6) - p\/4. What is the closest to m in 0, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -746776, -1493561, -2240356, -2987167, -3734000, -4480861?\nAnswer: -5227756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/11 + -102\/77. Put -0.8, -5, i in increasing order.\nAnswer: -5, -0.8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s + 40 = 0. Find the common denominator of 1 - 3 - (-180)\/8 and (22\/18)\/(4\/s).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-567))\/((15\/(-6))\/5).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 263, 625, 1149, 1847, 2731?\n\"Answer: 2*a**3 + 63*a**2 + 9*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084429333 rounded to 7 dps?\nAnswer: 0.0008443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 15*u - 52. Let q be s(12). What is the hundreds digit of 3\/((-12)\/q)*297\/(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10661 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/8)*v**25 assuming v is positive.\nAnswer: v**(197\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89922171 a multiple of 1939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqjjjjqjjjjjj. Give prob of sequence qqjq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -711527 + 711539. Solve 2*p**2 - x + 298\/5*p = 0 for p.\nAnswer: -30, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2175 - 30*c**2 - 14*c**2 + 2*c + 2177 in the form q*c**2 + x + l*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0*x**4 + 0*x**7 + 1\/40*x**6 - 41*x**2 + 0*x**3 - 1\/336*x**8 - 1\/30*x**5 + 0*x + 0. Factor s(q).\nAnswer: -q**2*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4670\/(-467)*(-1)\/12.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 4\/27*o**3 + 3\/2*o**2 + 3 + 1\/27*o**4 + 1\/270*o**5 + 0*o. Let u(z) be the second derivative of f(z). Solve u(s) = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/(-7) - (-6)\/21. List the prime factors of (-26)\/d - (-2)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19*g**3 + 3*g**2 + 22*g - 12. Let s(d) = 43*d**3 - 7*d**2 - 45*d + 28. What is -7*q(p) - 3*s(p)?\nAnswer: 4*p**3 - 19*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(18\/(-45)*120\/(-176)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = n - 5*n. Calculate the smallest common multiple of 16 and (-7)\/(n + 5\/(-2)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5 - 1119*h**4 + 2*h**2 + h - 131924?\nAnswer: 40*h**3 - 13428*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1109, -2241, -3395, -4571, -5769?\n\"Answer: -11*m**2 - 1099*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 2040245?\nAnswer: -2040251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4776.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5636585 is divided by 5636559.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49251699 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 6:33 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 46. Let q(y) = 46*y - 170. Let j = 1209 - 1205. Let d be q(j). Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.3. Let t = 5.939 + -6.139. Sort h, -2, -0.07, t in increasing order.\nAnswer: -2, t, -0.07, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1617*j**3 + 975.\nAnswer: 4851*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/196)\/((18\/4)\/(-3)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 2*f + 20 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away 131?\nAnswer: -132.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21046, 20200, 19340, 18466?\n\"Answer: -7*u**2 - 825*u + 21878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huj when three letters picked without replacement from fjjhquhqqhh?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0*p = 2*p + 53 - 42, t = -14*p + 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4008696.252 rounded to the nearest 1000?\nAnswer: 4009000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172314727 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + c**3 - 11 + 11.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4472 by 4.\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -29*l**4 + 29*l**3 + 51*l**2 - 91*l + 49. Let m(p) = 7*p**4 - 7*p**3 - 13*p**2 + 23*p - 12. Let t(a) = -9*m(a) - 2*w(a). Factor t(n).\nAnswer: -5*(n - 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**5 - 3*m - 2*m - m wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13*-3*(13 - 16)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -2\/1423 (b) 1 (c) 1\/6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9336366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6482 is divided by 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -141 - -138 - (0 + 2 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*c - 5523 = 15492 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 367414, 367412, 367410, 367408?\n\"Answer: -2*x + 367416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -732, -822, -950, -1116, -1320?\nAnswer: -1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/12 - k**3\/6 - k**2\/2 - 4*k. Does 14 divide s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -312*u**5 - 36419*u**4 - 1038762*u**3 + 1436689*u**2 + 1612824*u - 69620 = 0.\nAnswer: -59, -10\/13, 1\/24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.9 - 0.1. Let b = 7 + j. What is the closest to 0.1 in b, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 5*a**2 + 14*a + 7. Let h(s) = 3*s + 90. Let w be h(-28). Is o(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*a + 91, 9*a + 23267*z - 23262*z = -203 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 + -24?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1 + 0*p**4 + 2\/5*p**5 - 1\/3*p**3 + 0*p + 0*p**2. Find the third derivative of l(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 620*y**2 - 706*y - 53854. Determine o(-619).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1376 and 5410?\nAnswer: 3722080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 120012?\nAnswer: -120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s**2 + 15*s. Suppose -66*j + 490 = 18*j + 14*j. Let k(w) = 38*w - 21*w**2 - 9*w**2 - 15*w. Let d(b) = j*k(b) - 8*n(b). Find f such that d(f) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.12, -11, -0.2, 3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6*o**(-6)*o)\/(o*o**(1\/2)*o**(-2)))**(-49) assuming o is positive.\nAnswer: o**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17158766407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - -2) - (-14 + 11 + -35 + 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3305997 millennia in months?\nAnswer: 3967.1964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103684 + 163801*i**2 + 297347*i**5 + 312340*i - 81795*i**2 + 232914*i**2 + 107560*i**3 - 297343*i**5 + 1300*i**4 = 0. What is i?\nAnswer: -161, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5093 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 25 + -4 + -5 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*b - 2*t + 24, 0 = -2*t + 2. Let p(a) = 1 + 2 + 4*a - b*a + 3. What is p(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9425 and 751361?\nAnswer: 18784025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)*-9 - -2. Let o(k) = 4*k + k**3 - 5 + k**2 + k**2 + 6*k**2 + 13. Is 9 a factor of o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + p**2 + 9*p - 12. Give r(6).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 531, 508, 465, 396, 295, 156?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.84 - -2. Let j = s + -0.1671. Round j to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12. Suppose j = 2*g - 3*t - 233, 4*g - 2*t - 577 = -g. List the prime factors of g.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)\/(w\/((w**(-1\/3)*w)\/w)))\/(((w\/(w\/(((w\/(w*w**(-1\/5)))\/w)\/w)))\/w)\/((w*((w*w\/((w\/w**(-3\/14))\/w))\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-1417\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -7, 2, 1.\nAnswer: -7, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.125 + 0.075. Which is the third smallest value? (a) w (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1436, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 6 = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m - 2. Let o be w(-1). Let a(h) = h**3 - 7*h**2 + 4*h - 7. Let x be a(o). Suppose -5*p + 19 = -16. What is the greatest common factor of p and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151249 or 148339?\nAnswer: 148339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -38274 divided by -102\nAnswer: 6379\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*t - 7 + 4 - 11 - 68*t.\nAnswer: -t - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0221727 minus 16.683?\nAnswer: -16.6608273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43460, 86898, 130314, 173708, 217080, 260430, 303758?\n\"Answer: -11*q**2 + 43471*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/5 (b) -0.2 (c) 5\/3 (d) 3.24 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -3)*3\/(-9). Solve -4*y = -j*f + 2*f + 10, -5*f = -2*y - 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1722 + 2293. List the prime factors of m.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2591 + 2590. Suppose 2*f = 7*l - 3*l, 3*f + 5*l - 11 = 0. Sort q, -5, f, -28 in decreasing order.\nAnswer: f, q, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18413513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -267, -554, -841?\n\"Answer: -287*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 32 - 13. Suppose -31 = 2*l + a. Let n be 0 + (2\/(-1) - l). What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - n = -343. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -152*d + 651. Let s(j) = -70*j + 326. What is -6*h(p) + 13*s(p)?\nAnswer: 2*p + 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9513m in millimeters?\nAnswer: 7951.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7a74 (base 11) to base 15\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 101*l**2 - 4. Let a(d) = -2*d**2 + 1. Calculate 4*a(g) + w(g).\nAnswer: 93*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0954272124 - 714194654.0954272124. Let r = l - -714194407.9999891. Let d = r - -246. What is d rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p - 11*p + 9*p.\nAnswer: -53*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1100110011101010111110101?\nAnswer: 1100110011101010111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-4*(sqrt(204) - -3*sqrt(204)))\/(2*sqrt(192)).\nAnswer: -12*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*y - 410*y + 95*y + 104*y + 94*y.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 54.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 238495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17558.09 - 17151. What is k rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 - 2*t - 3. Let x be k(3). Let g = 2 + x. Suppose g*u - 55 = -3*u. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/((-3910)\/(-20)) + -4 + 2108\/92. Solve 0 = 5*y - 5, -x + 20*y - m*y + 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 2. Let a(t) = -t. Suppose 0 = 2*g + 5*g - 140. Suppose -6*r = -11*r + g. Give r*a(c) + b(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 739236?\nAnswer: 21437844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(-1 + 0). Let f(k) be the second derivative of k**4\/3 - k**2\/2 - 40*k. Is f(g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*3\/((-18)\/10). Solve 2*p = -q*n - 3, 2*p = -2*p + n + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/60 - p**4\/4 - p**3 - 30*p**2 - p + 5. Let f(q) be the first derivative of y(q). Determine f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u. Let n(k) be the third derivative of -59*k**5\/60 + 330*k**2. Calculate l(n(f)).\nAnswer: 295*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 8 + -5 + 3. Let x(r) = -4*r + 1 + 1 + 6*r + 5*r**2. Is x(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 808 - 78*l - 112 + 295 + 3*l**2 - 82*l + 159*l to y*l**2 + o*l + u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)\/p*p)**(-26\/7)*(p**6*p)\/p**(-4))**(9\/4) assuming p is positive.\nAnswer: p**(4383\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -26, -39, -56, -77, -102, -131?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -15. Let i = 7 + -27\/4. Let n = 0.2 - 0.3. Which is the closest to n? (a) j (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2728.2871 to the nearest integer.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 535 + -1548?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w. Let r(d) = 6*d. Let g(q) = -5*p(q) + 6*r(q). Let n(m) = 6*m - 2. Suppose -439 + 53 = -87*o + 310. Give o*g(l) - n(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 - -5.855. Let t = s - -13.445. Let w = 13.4 - t. Which is the nearest to w? (a) 0.07 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783102 is divided by 162.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4025 + 3?\nAnswer: -4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -475*v - 5234. What is q(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -249*w**3 - 197700*w**2 - 39239877*w + 945654 = 0.\nAnswer: -397, 2\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/5, 12, 26?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -u + 13402, -8*n - 40176 = -3*u - 7*n. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 f, and 1 m when four letters picked without replacement from fyyfmymmyyynfynmynyy.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222.185 + -221. Let p = r - -0.015. Let n = 0.86 + 1.14. Which is the fourth smallest value? (a) p (b) -2 (c) n (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 1 + (-28 - -44) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.2 and -1763739300.\nAnswer: -1763739298.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - g - 2*g - 36 = 0, 5*c - 2*g = 245. Suppose -4*m = -131 + c. What is the lowest common multiple of m and 400\/18 + (-4)\/18?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20441261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(294)*1 - sqrt(294))\/sqrt(6))\/(sqrt(63)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/27)\/((g\/g**(-3\/5)*g*g)\/g))\/((g*g**(-19)*g*g)\/g**18) assuming g is positive.\nAnswer: g**(4244\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 4*i**3 + 4*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(33)\/(sqrt(11) + sqrt(99)).\nAnswer: sqrt(3)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 5*c + 1. Let o be y(-4). Let f = o + 3. Let t(p) = f*p - p + 0*p. Let i(d) = -d**2. Give i(t(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(306\/85))\/(4*(-15)\/984).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - 9*v**2 + 5*v + 8*v**2 - 11*v to the form h*v**2 + t + m*v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 272\/8 + -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/62788494 and -3\/83717992.\nAnswer: 251153976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45593281273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -424659.4917 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/20 + 3*j**4\/4 - 10*j**3\/3 + 6*j**2 - 1307*j. Determine y so that g(y) = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 375.\nAnswer: -4125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1251 - -15413. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279419593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.04 and 4955.5?\nAnswer: 15064.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2530 + 10521. What are the prime factors of x?\nAnswer: 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22743225?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + y + 0*y)*(2*y + y - 5*y)*(12*y + 17 - 17) in the form j*y**3 + o + g*y**2 + c*y and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703 is divided by 457.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/h)**(-41)*h**(3\/4)*h*h*h*h\/h**(-1\/7) assuming h is positive.\nAnswer: h**(1859\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. What is the first derivative of 1 + 0 + 3*g - w*g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 5 + 3*b + 16 in the form i + g*b and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1033 - -305?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 3268327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*y - 3*y**2 + 35*y + (-1 - 2*y + 1)*(-4*y + 2*y + y))*((-2 + 6 - 3)*(-6 + 6 + 11) + 1 - 2 + 0 + (-1 - 3 + 2)*(5 + 2 - 5)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 23*a**2 - a + 35. Let c be n(23). Suppose s = 2*s - c. Solve 4*g = -3*m - m - s, 0 = -3*m + 3*g + 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-25)\/(-5) + 3 + -1 + -6)*55323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s + 406. Let y = s - 131. Suppose -140 = -5*k - 5*d, -4*k + 3*d + y = -k. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 90 = -230. Let u = 155 + -153. Suppose 3*o - 2*o = 2*s, u*o = 5*s + 2. Sort y, s, 0 in descending order.\nAnswer: 0, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/108180 and 133\/216.\nAnswer: 649080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24823 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-1)\/2*0\/(-1). Suppose 3*f + 4*d = 8*d - 16, 2*d = f + 8. Suppose -2*g + f*g + 22 = u. Calculate the remainder when 20 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h + 0*h + 4*h - h - h + (-3 - h + 3)*(-1 + 4 - 5))*(-5 - 9 - 8) in the form j*h + c and give j.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let c be 3\/y - (-200)\/(-72). What is the second smallest value in c, -0.5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:27 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 5154*c**2 + 6510204*c + 338520200.\nAnswer: (c - 2602)**2*(c + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -79, 0, -2\/7, 1 in decreasing order.\nAnswer: 1, 0, -2\/7, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*((4*q - 3*q - 4*q)*(-4*q + 5*q - 5*q) + 9*q**2 - 2*q**2 - 3*q**2).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 25*p + 25. Let l be g(2). Which is bigger: 53 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-62)\/4 + 0)*4. Let f = 18624 - 18687. Which is bigger: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2 + 11. Suppose 3*r + 5*y = -3, -2*r - 1 = 4*y + f. Suppose 4 = r*l - 12. Solve n - l*n = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 10. Let b = 17 - 14. Solve 4*w - b*c - n = 0, -w + 4*c = -3*w + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3290, -1573, 144?\n\"Answer: 1717*n - 5007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 7. Let d be r(-9). Let n = d + 80. Suppose 5*l + 4*k - 284 = 0, n = 2*l + 5*k - 45. What is the highest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.71 - -0.51. Let m = h + 6. Sort m, 1, 2\/17 in increasing order.\nAnswer: m, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251 + 258. Let c be (-22)\/(-2) - (2 + 1). What is the lowest common multiple of (1\/4)\/(1\/c) and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18\/23 (b) -0.4 (c) 4 (d) 0.31 (e) -4\/3 (f) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4298775 to two decimal places.\nAnswer: -2.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f**2 - 12*f - 6. Calculate the remainder when m(-11) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245792 - -0.4.\nAnswer: -245791.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 924*c**3 - 77637*c**2 + 151554*c.\nAnswer: 3*c*(c - 67)*(c - 2)*(c + 377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {j: 4, l: 4, c: 4, g: 1, w: 1, e: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 286 = 3*g + 332, -2*w + 256 = g. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, z: 4, b: 7}. What is prob of picking 2 z, 1 j, and 1 b?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1238894 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*((-141)\/(-3))\/(((-45)\/(-30))\/(-3)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)*x*x*x*x*x**(-2\/35)\/x)**(-4\/21)\/((x**(-3))**(4\/13))**(16\/7) assuming x is positive.\nAnswer: x**(15259\/9555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 17895*f + 17898.\nAnswer: -3*(f - 1)*(f + 5966)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -669 - -482. Let c = k - -194. What is the biggest value in c, -1\/4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 19*h + 140 = 0. Let r(m) = -h*m + 374 + 369 - 6*m - 743. Let g(o) = 143*o. Calculate 3*g(q) + 26*r(q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -448833947 and 167647.\nAnswer: -448666300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -1\/2, 2\/13, 10, -4, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53043731 is divided by 217?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p**3 - 23*p**3 - 57*p**3 - 29*p**3.\nAnswer: -71*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9712, -9663, -9604, -9529, -9432, -9307?\nAnswer: -9148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2287700 and 114385?\nAnswer: 2287700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(4))\/sqrt(11) - (-1 + sqrt(10)\/sqrt(5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (178 + -4 + ((-2)\/6 - (-198)\/(-54)))\/(-2)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1799*y - 1284 wrt y?\nAnswer: 1799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-930)\/(-62))\/(2*1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 39*o + 2. Is n(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -109402, -218793, -328188, -437593, -547014, -656457, -765928, -875433?\n\"Answer: -j**3 + 4*j**2 - 109396*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 18*m - 9*m. Suppose i - 2*l - m = 0, -3*l + 34 + 14 = 4*i. What is the highest common factor of 645 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48242 + 48245. Let v = -0.6 - -2.8. What is the third smallest value in n, v, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 4. Let b be k(-6). Let t be b + (3 - (-6)\/(-3)). Suppose -u + 13 - t = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326916430, -326916431, -326916432?\nAnswer: -326916433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -422*d - 16010. Calculate u(-38).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Suppose 2*b - 5 = -1. Let l(o) = -5*o**3 - 4*o**2 - 8*o - 2. Let n(v) = v**3 + v**2 + v. Let j(c) = -l(c) - 6*n(c). Calculate b*r(u) - j(u).\nAnswer: u**3 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 194 + 217 - 118 - 256 in the form a*q + u and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*a + f, -a - 2*f + 14 = -f. Let m = a + -9. What is the least common multiple of 7 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 11:26 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599027, 599024, 599021, 599018, 599015?\nAnswer: 599012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.4. Let s = 0.56 + -0.1. Let r = s + 0.04. Put r, u, -3\/4 in decreasing order.\nAnswer: r, u, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 - 12*l + 55. Let q(v) = 2*v**3 + 6*v**2 - 15*v + 53. Calculate 3*d(s) - 2*q(s).\nAnswer: -4*s**3 - 6*s + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32886\/164005 or 1?\nAnswer: -32886\/164005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -754, -7\/5, 1, -14\/19, 11 in ascending order.\nAnswer: -754, -7\/5, -14\/19, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -2.2. Let z be -3 - 2 - 162\/(-30). Which is the nearest to z? (a) -0.4 (b) u (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44470000 rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.4. Let u = -18 - -18. Let h(c) = c**3 - 6*c**2 - 5. Let j be h(6). What is the nearest to u in j, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**4 + 11*w**4 - 9*w**3 - w**4)*(-1 + 4 - 1).\nAnswer: 4*w**4 - 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342 - -622. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 20. Suppose -o = -15 + d. Suppose -x = o*x - 110. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(1 - 2 - 0). Suppose 0 = -7*j + 4*j - 15. Let m be j - (-17)\/4 - 15\/(-4). Solve 0 = -3*w - m*l - 6, -w + u*l - 6 = -l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1054 times 6467\nAnswer: -6816218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -44*u**2 + 5*u. Let s(x) = -66*x**2 + 7*x. Let r = 32 + -27. Let i(t) = r*s(t) - 7*p(t). Let z(h) = -h**2. Determine z(i(v)).\nAnswer: -484*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3229 = -6*f + 43. What is the tens digit of (2\/(12\/f))\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 466100 and 3476.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 7 = 5*o, 4*a - o + 3*o - 456 = 439 - 909 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4219, 4229, 4205, 4129, 3983, 3749, 3409, 2945?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from kgkkkkkgkgkk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0 - 1\/6*g**3 + 0*g**2 - 2*g. Let m(y) be the third derivative of 11*y**4\/24 - y**2 - 6*y. What is m(d(q))?\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 44. Suppose s + 2 = -2*p + 29, 5*p - 5*s = m. Solve j - p = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 293168*d**3*v**3 - 9580*d**3*v + 296*d**2*v**3 - 10992*d**2*v wrt v?\nAnswer: 1759008*d**3*v + 1776*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*f = 2*i - 5, i - 9 = f. Suppose i*c + 18 = 3*c. Let s = c + 7. Let a(t) = t**3 - t - 2. What is a(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37076 + 126327. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -28\/1432947?\nAnswer: -28\/1432947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13159, 5, -8 in decreasing order.\nAnswer: 13159, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160737267.\nAnswer: 3, 1277, 41957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -945.39 + -964.26. What is b rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivvg when four letters picked without replacement from igvvgvg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5401336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 + 126*x**2 + 1440*x + 2400 = 0. What is x?\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2\/(-4 - -8 - 2). Find the third derivative of -4*h**5 - 19*h**n - 10*h**3 - 6*h**2 + 27*h**3 + h wrt h.\nAnswer: -240*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-1) + 3)*-14. Let y be 30\/50 - t\/(-5). Let r be (-7)\/(-18) + 4\/(-18). Which is the closest to 0? (a) 1 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.592 + -33.258. Let m = -33 - t. Let y = m - 0.15. Round y to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oasmn. Give prob of sequence om.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 5)*(-2 + 2 + n)*(0*n + 2*n - 3*n) to m*n**2 + a*n + t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m**4 + 294*m**3 - 190*m**2 - 84*m = 0 for m.\nAnswer: -3\/10, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:51 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -336 + 67. Let c = -269.00000227 - p. Round c to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1707*l = 1703*l - j - 24, -4*j = 3*l + 44 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*220\/(-40)*(1 - 0). Let b be 40\/12*(-6)\/(-5). Suppose -c + b*c - 165 = 0. Calculate the highest common factor of u and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/21 (b) 3 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -102*r + 22*r - 24*r. Solve 14*w + 6 = 15*w - 3*h, -r*w + 12 = -h for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11289411?\nAnswer: 3, 7, 17, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-4) - (-428)\/72 and 49\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*q = 2583 - 789 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 2060, 4612, 8168, 12728, 18292?\nAnswer: 24860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let k(n) = -n + u*n - n. Let w(a) = -3*a. Let m(d) = -d. Let z(g) = 2*m(g) - w(g). Calculate z(k(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 9*p - 18. Let n(s) = 2*s**2 - 13*s - 48. Let q be n(9). What is the tens digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 11 - ((-10 - 0) + -10) - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2700 = -1994*n + 2102*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odoood. What is prob of sequence dooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8238.\nAnswer: 2, 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/11 (b) 5 (c) -2\/7 (d) -455 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 1 + (-1 + -1 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4900094375831 plus 0.103?\nAnswer: -4900094375830.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 - (-165)\/(-25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-1\/13)*w**3*w*w**4\/((w\/w**(-1\/10))\/w)*((w*w*w**(-4\/11))\/(w*w**10))**(5\/3) assuming w is positive.\nAnswer: w**(-28439\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719063 to the power of 1\/2, to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/70, -0.2, 112, -4, -3\/2, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**3 + a**2 + 7*a + 6. Give q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 20*o + 388 - 361.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + -102 + 6 + 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05338278807 to 6 decimal places.\nAnswer: -0.053383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15)*12\/(-8)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -5\/2*f**2 - 2\/3*f**3 + 1 - 3*f. Give y(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = -s + 791922, b = 3*s - 2375774. Let w = s - 191924. What is w rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 27 - 28 + 4*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*f - 323*f = 320*f + 544 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 3}. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -15*n**3 + 33*n - 33. Let m(z) = z**3 - 2*z + 2. Give -33*m(c) - 2*v(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Let b(m) = -f - 14*m + 17*m + 5. Let d(w) = 9*w**2. What is b(d(o))?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(30\/100)\/((-3)\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9586*m + 27275.\nAnswer: -9586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -7*p - 397, 13*p - 43*p + 9*p - 3*k = 1200 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**2 - 5*v + 3. Let a be g(4). Suppose 3*k - 832 = 4*p, 2*p + k - 33 + 449 = 0. Let l = 221 + p. What is the greatest common factor of l and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 6*m + 0*m)*(-1 - 1 - 1)*(-m**2 + 2*m**2 + 2*m**2) in the form o + y*m**3 + d*m**2 + s*m and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/14*(-118)\/(-354).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5820 = 11*l - 16*l. Let x = l - 781. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*14\/4*14096\/(-12334)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*d + 1526796 = 76*d - 45*d. Does 67 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*c + c**2 - 132*c - 112*c + 228*c - 2 - 2*c**4 to the form o*c + j*c**2 + w*c**3 + y*c**4 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11084de + -2?\nAnswer: -11084e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 9*q - 12*q - 6, 3*n + 2*q + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241348?\nAnswer: 2, 60337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92*u*z**3 - z**3 + 106*z wrt u?\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1588.8.\nAnswer: -4766.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 161*l - 41850. Give o(260).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21461 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most as big as -1.020813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -180135, -360056, -539977?\n\"Answer: -179921*p - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2079 and 14175.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k**4 + k + 3*k - k**3 - 1 - k as d*k**3 + j*k**2 + l*k**4 + y + c*k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*y + 108 = -368, 5*s - 5*y = 800. What is the remainder when s is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 331 = 4*r + 1001, 3*l = 2*r + 402. Suppose 4*n = 4*b - 120, -2*n = 5*b - 3*n - l. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 7. Let x be r(-5). Let b = 15 - x. Factor 1 + v + 1\/4*v**b.\nAnswer: (v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -100001*f**2 + 22*f + 349. Let x be 14 - (2 - (-3 + 2)). Let q be y(x). Round q to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwcw when four letters picked without replacement from cwwwkkwwkkk.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -22*b**2 - 1. Let d(y) = 2*y + 2. Let l(o) = -4. Let p(c) = 4*d(c) + 2*l(c). Determine w(p(g)).\nAnswer: -1408*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/28)\/((-48)\/(-224)*20))\/(12\/56).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 1 = 409. What is the first derivative of -63 + 58 + 7*a - 1 - i - 73 wrt a?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37736272 by -14224.\nAnswer: -2653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spw when three letters picked without replacement from {s: 1, w: 3, p: 4, k: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-510)\/(-35) - 3\/(-7). Let g be 27\/z + 3\/15. Suppose g*x + 18 = 10. Put -1, x, 1 in decreasing order.\nAnswer: 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9458 is divided by 4718?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 4*l - 2*l, 0 = -n. Let m(r) be the third derivative of r**4\/6 - r**3\/6 + r**2. Calculate m(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1145560 - 1.\nAnswer: 1145559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 c when four letters picked without replacement from {v: 4, c: 1, o: 3, d: 1, u: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 2*n**2 - 5*n**2 + 3*n + n**2 as c*n + g*n**2 + t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14*2\/49)\/(1\/(-7)). Suppose -2*i - 1 - 5 = 0. Let p(s) = s**2 + 4*s + 3. Let r be p(i). Sort y, r, 6 in decreasing order.\nAnswer: 6, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -30779.\nAnswer: -123116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-2)\/4 + (-395)\/(-10). Let v = s + -157\/4. Let 3\/4*a**4 + 3\/4*a**2 - 3\/4*a - 1\/2 + v*a**3 = 0. Calculate a.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*q**2 + 182*f**3*q - 2*f**2 + 222*q**4 + 2*q wrt q?\nAnswer: -2*f**3 + 2664*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((8 - (-28 + -7)) + -18 - 4) + -1 + 5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-36)\/48*2\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**(-1\/4)*m*m)\/m*m)\/m)\/m)\/m**(1\/7))**38*((m**(-5))**35)**37 assuming m is positive.\nAnswer: m**(-90859\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**5 + 1315*l**4 + 21*l**3 + 139518*l**2 + 2*l - 2 wrt l.\nAnswer: 180*l**2 + 31560*l + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7)\/(-3))\/(11\/33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.8. Let o = -35689 + 107065\/3. Put o, 2\/9, -9, p in increasing order.\nAnswer: -9, o, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n + 3. Let t(a) = 2*a - 18. Let o be t(9). Let c be g(o). Solve 11 = -2*r + c*i, -r + 3 = 3*i + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 9*x - 12*x + 9, 0 = -k - 5*x - 27. Which is bigger: k or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 13*u + 1608. Find the common denominator of 89\/2 and 0 + 3 - u\/(-96).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Suppose j*n = 4*n - 1. Let a(o) = -o**3 - 3*o**2 - 3*o - 1. Suppose -6*r = -3*r - 9. Let f(s) = s**3 + s**2 + s + 1. Calculate n*a(t) + r*f(t).\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268388 and 2637.\nAnswer: 2415492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279470 is divided by 227946.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-8) + 7)*(-4)\/(-1). Calculate the highest common divisor of c and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140.107 rounded to the nearest ten?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 333284293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w. Let g(d) = -d. Suppose 2*f = 4*y - 2, -2*f = 5*y + 3*f + 20. Let i(x) = y*g(x) - c(x). Let n(t) = -5*t**2. Determine n(i(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9261 and 29523382.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*z = 0, -4*h + 3*h = -3*z - 5. Suppose 2*i + 1 = 4*o + 7, o + 14 = 3*i. Suppose -3 = -f - b, 0 = -7*f + 4*f - 2*b + 4. Sort h, f, o.\nAnswer: f, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o**2 + 10*o**2 - 12*o**2 + 15*o**2.\nAnswer: 41*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - z**5 + 4*z + 6*z**3 + 8*z**4 - 8*z**2 + 3*z**5 = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 15316.\nAnswer: 153160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*p - 135*p + 1669 = -3*c, -p = 4*c - 1683. Is 0 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 t, and 1 z when three letters picked without replacement from {z: 1, t: 2, r: 5, j: 5, d: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21)\/(sqrt(150)\/sqrt(2)) - (sqrt(7)*1 + -4 + (sqrt(7) - (1 + sqrt(1008))))))**2.\nAnswer: 102*sqrt(7) + 18832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, -8, -31, -68?\n\"Answer: -7*f**2 + 12*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -2*s. Let j = -22 + 31. Let m = s + j. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*g**5 + 10*g**5 - 9*g**5 + (-2 + 2 + g**2)*(-g**3 + 3*g**3 - g**3) - 3*g**5 + 6*g**5 + 4*g**5.\nAnswer: 25*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*56\/70?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2278\/5, -28, 0.1, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyhg when four letters picked without replacement from {h: 1, g: 1, y: 2, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 7*z**2 - 11*z - 5. Let y be n(-6). Suppose 14*x + y = 13*x. Do x and -24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 3*t**2 + t**2 + (t - 1 + 1)*(2*t + 2 - 2))*(-42 - 86 + 2*t - 27).\nAnswer: 2*t**3 - 155*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7 - 1.4?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9772 divided by -2443?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145259999 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, o: 4}. Give prob of picking 4 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*b - 33*b + 19*b + (6 - 2 - 3)*(-3*b + 3*b - 2*b) + 2*b - 3*b + 2*b)*(4 - 2 + 0).\nAnswer: -94*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*c - 90*c + 167*c + 3)*(-48*c + 11*c + 5*c) to the form j + k*c + s*c**2 and give k.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 926.787ml?\nAnswer: 0.926787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o)**(-34)\/(o\/(o*o**(-4))*o)**(-12) assuming o is positive.\nAnswer: o**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 19 = -2*b - 4, 0 = -b + 5. Let d = f + 10. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*90\/(-150)*(-96)\/(-216)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500408, 500412, 500420, 500432, 500448, 500468, 500492?\nAnswer: 500520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by ((-88)\/(-6))\/((-18)\/(-27)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 - 141*c - 1040. Calculate i(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, j: 2, b: 2}. Give prob of sequence bje.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2. Let d = 17 + -11. Let u(b) = 13*b**2 - 3*b + 9*b - 4*b**2. Let l(v) = -10*v**2 - 7*v. Let i(q) = d*l(q) + 7*u(q). Calculate j(i(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (-13 - -12) - (-197 - -225)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 462 - 562 = -4*f, 0 = -9*f + 8*f - 2*d + 97 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-60))\/(45\/(-120))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2052 = 14281*y - 14245*y for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 62*g + 9. List the prime factors of a(5).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719.3521 days in hours?\nAnswer: 17264.4504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 834.306 to the nearest integer.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 12*u - 176. Let v(q) = 3*q + 3 - 3 + 3. Let w(n) = 16*n + 16. What is u*v(m) - 4*w(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856752 is divided by 727.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 49\/(-3) - 2\/(-6). Let k(z) be the third derivative of -5*z**4\/24 + 10*z**3\/3 + 717*z**2. What is the hundreds digit of k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13193 and 46847.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 110*r\/9 - 104\/3.\nAnswer: -2*(r + 3)*(r + 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:14 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335663 (base 7) to base 5.\nAnswer: -3402203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*j + 10, -5*r - 3*j = -3*r + 45. What is the least common multiple of 77 and (-4 + (-536)\/6)*18\/r?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 259884, -5 in increasing order.\nAnswer: -5, 0, 5, 259884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 73 + 4. What is the tens digit of -523*(-3 - (5 + f))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*z + 7 + 30, -2*g + 2*z = 2. Let n be 12\/(-5) + g\/(-15). Is ((-6)\/12)\/(n\/48) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12822*-1.\nAnswer: -0.12822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*z + 447*z - 133 = 0. Solve 17 = -6*o + z*o - 3*t, 4*o = -3*t - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t + 1\/220*t**6 + 0*t**3 + 0*t**4 + 0 + 1\/165*t**5 - 2*t**2. Let z(p) be the first derivative of f(p). Factor z(s).\nAnswer: 2*s**2*(3*s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/33 and -107\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 + 1 - (1 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 30*r + 86. Determine l(25).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 14, -3\/2, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -208\/5, -1 in decreasing order.\nAnswer: 6, -1, -208\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -617*o - 617. Let v be h(-1). Let w(n) be the second derivative of v + 0*n**4 + 2\/21*n**3 + 0*n**2 - 1\/35*n**5 + 18*n. Factor w(r).\nAnswer: -4*r*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -408? (a) -7 (b) 3\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 51, 131, 265, 465, 743, 1111?\n\"Answer: 2*x**3 + 9*x**2 - 3*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17217409 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8687 bigger than 8757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13192800 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16)*h\/((h**3*h)\/h*h))**(2\/29) assuming h is positive.\nAnswer: h**(-38\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, q: 1, u: 3, g: 1, s: 2}. Give prob of sequence ssa.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-7)*1176\/(-112). Solve v*x - 180 = -186 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3048 = -510. Suppose 9*j = 6*j - 3*s + 636, 4*j + 3*s = r. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*x - 4*z + 58, 0 = -3*z + 12. Suppose 19*n - 18*n - 7 = 0. Let d = 15 - n. Solve -28 + d = 5*v + 5*j, x = -5*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-2)\/(-8)*22. Let u = w + 6. Let c = 5 + u. Solve c = -3*g + 3*x, -2*x - 4 = -4*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/84574 and 23\/36?\nAnswer: 1522332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 5 = 7. Let l be 6 + (o - (-3)\/(-3)). Let g(z) = z**2 - 14*z + 24. Let y be g(2). Solve y = 2*x - l + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66462991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 + 301 = t. Let u be t - ((-30)\/5 - 0) - 19. Put -3, u, 0 in decreasing order.\nAnswer: 0, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 184*k**2 + 157*k - 11. Determine h(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26260, 19489, 8212, -7565, -27836?\n\"Answer: l**3 - 2259*l**2 - l + 28519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((50085\/(-120))\/53)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*c + 247 = 389*c. Calculate the remainder when 257 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/21)*y**(4\/7)*(y\/(y**14*y))\/y*y**(-2\/19) assuming y is positive.\nAnswer: y**(-5438\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(539))*-2)**2*5.\nAnswer: 560*sqrt(11) + 10860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 v when four letters picked without replacement from {v: 6, u: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8632.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*10\/(-35))\/3*4\/(-40).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*u + 2*s, u + 15 = 6423*s - 6419*s for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1730140 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 45264*w - 22621*w - 22635*w.\nAnswer: -2*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 9*x - 10*x + 3*c = 8*x + 564, 2*c = -5 + 3 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -3 - (-64 + 69).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 29. Suppose -l - 2*x - 2*x = 2, w*x = -4*l + 6. Solve -5 + 1 = l*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.29+0.136497799756\nAnswer: 1.426497799756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 183*h**2 + 4952*h - 63. Give z(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000061947 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 4, g: 2}. Give prob of sequence eepe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/b**(-4\/5)*(b**(1\/2))**(1\/19))**46 assuming b is positive.\nAnswer: b**(34017\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613 + 50 - 748 - 30*u**2 + 47 + 38.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-4*6 + sqrt(77)*-1*3)\/((sqrt(1100) - (sqrt(1100) + -4*(sqrt(1100) - (sqrt(1100) - (sqrt(1100)*-2 - sqrt(1100)))))) + 1*sqrt(1100)*6).\nAnswer: 9*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1963 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 11. Which is the third biggest value? (a) w (b) 2\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583212 divided by 145803.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16425854 rounded to the nearest 100000?\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2*v**3\/9 - 118*v**2\/3 - 242*v - 4458. Find p, given that g(p) = 0.\nAnswer: -3, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 24 = -4*k. Calculate the remainder when 20 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -316*p - 147. Let z be b(-4). Suppose v = 4*w + 1102, 3*v - 2*v - w - z = 0. List the prime factors of v.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 2*r**3 + r**3 + (2*r**2 - 4*r**2 + r**2)*(-9*r + 8*r - 15*r) + (-711*r**2 - 1432*r**2 + 549*r**2)*(-2 + 2 + r).\nAnswer: -1577*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 113. What are the prime factors of u\/30*(4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/936)\/(2450\/29400).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 + 3 = 0. Solve -n = -4*a - 0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 854 = 8738. Suppose 0 = 3*z + 66 - h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115910 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 - 2*k**5 + 0*k**5 - 3*k**5 + 2*k**5 + 2*k**5 + (k**3 - k**3 + 2*k**3)*(0*k**2 + 0*k**2 - k**2) - k**5 - 4*k**5 + 2*k**5.\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224901.\nAnswer: 3, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3832 (b) 19\/5 (c) -12 (d) -4 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncyncccylcyffyncflyd. What is prob of picking 1 d, 1 y, and 1 l?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*4*(-12)\/(-8). Let b(x) = 7*x**3 + 6*x**2. Let n(v) = -v**3 - v**2 - 1. Let u(i) = h*n(i) - b(i). What is the lowest common multiple of 20 and u(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 (base 10) in base 4?\nAnswer: -12123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100001 - 1111111100000?\nAnswer: -1100000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1062649 or 1062650?\nAnswer: 1062650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35132, 35130, 35118, 35090, 35040, 34962?\nAnswer: 34850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 106. What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**9\/504 - 2*m**7\/35 - 7*m**6\/120 + 117*m**5\/4 + m**3\/2 + 11*m**2 - m - 1. Find the third derivative of c(b) wrt b.\nAnswer: -120*b**3 - 288*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ffqqqoffqqqoo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u**2 - 4. Let z(i) = -90*i**2 - 25. Let h(l) = 25*v(l) - 4*z(l). Let w(x) = -1103 + 1103 - 2*x. Give h(w(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -282.75 and -2?\nAnswer: 565.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8901.748ml in litres?\nAnswer: 8.901748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:33 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1, 1\/16, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/4)\/((-3)\/9). Suppose -96*i + 33*i - 315 = 0. Which is the third biggest value? (a) -3\/8 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 20*u**2 + 10*u - 27. Give b(5).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Suppose 70 = 5*u - 0. What is the remainder when u is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59946, -60460, -60974, -61488, -62002, -62516?\nAnswer: -63030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + (12 - (3 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 17*w + 18. Let i be h(15). Let s = 5 + i. Let x(g) = g**3 + 8*g**2 + 6*g - 7. Let v be x(s). Solve -3*d + v*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 10, -6*r + 3*m + 2 = -2*r. Solve 0 + 4 = -r*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*r**2 + 53*r - 53*r)*(-20 + 11 - 31) - 3 + 3 + 2*r**2)*(r**2 + 4*r - 4*r).\nAnswer: -198*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/3 - 538202462*o\/9 + 119600548\/3 = 0. What is o?\nAnswer: -89700411, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-21)*156\/208.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2 + 0.38397.\nAnswer: 4.58397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*l - 32. Let v(x) = -3*x - 42. Let m be v(l). Solve 0 = 5*q + 3*w - 2 + 21, m*w = -q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 211108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104, 532, 1014, 1264, 1204, 756?\n\"Answer: -13*l**3 + l**2 + 724*l - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 109 = 3*v, -2*v + 67*j = 66*j - 76. Calculate the greatest common divisor of 507 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 9. Let p = o + 11. Suppose -8*j - 17 = -p*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/((12\/13947)\/4). Let x be (-46154 + 8)\/(-1 + 3). Let w = x - l. Round w to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 55.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-1035)*-9)\/(3\/24)*(-60)\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17061 and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/549*(351\/(-18))\/(-13)*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/20703165?\nAnswer: -2\/20703165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 10069241?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(-112*48\/3072)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -22133?\nAnswer: -22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45578242.\nAnswer: 2, 22789121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -2\/9 (b) -2\/67 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d**3 + 14*d**2 + 31*d - 7. Give s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 79 - 344 + 8*l + l**2 + 0*l + 113 + 76 + 78. Suppose -2 = 2*x + 8, -4*x - 16 = 2*w. Suppose 0 = -2*b + r - 21, 3*b + 5 + 9 = -w*r. Calculate f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -45. Solve s - 4*s = t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - 6 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 1\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -13*v**3\/6 - v. Let h(s) be the second derivative of -s**3\/2 - 40*s - 30. What is h(b(n))?\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2635 = -5*u + 4*x, 5*u - 5*x = 73 + 2557. Let q = -463 + u. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 2. Let r(k) = 2*k + 13. Let a(g) = -3*g - 22. Let f(c) = -3*a(c) - 5*r(c). What is -5*f(o) + m(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.9722 + -1.0278. What is the second smallest value in s, 6\/13, 3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15525 (base 6) to base 12\nAnswer: 15a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.282350607 - -8.2824. What is h rounded to seven decimal places?\nAnswer: 0.0000494","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 51, 0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = w - 72, -3*w = -3*a - 27 - 27. Let s = a - -26. Let v be s + (2 + -1)*1. Solve t = -5*k + v + 10, 2*t = 5*k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*x**5 - x**4 - 4*x**3 + 53*x**2 - 11*x + 1.\nAnswer: 2340*x**2 - 24*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3 - 13\/(-3)). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 16 + 16)*(-v + v + v) + (3*v**2 + 2*v - 2*v)*(-2 + 6 - 2).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -805, -809, -813, -817, -821?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 10:21 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 1042, 1271, 1502, 1735, 1970, 2207?\nAnswer: 2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b (base 12) to base 6.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1342791 - 1342791 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5*sqrt(85)*-1)\/(5*sqrt(20)\/sqrt(4)) - -5*-2*(sqrt(17) + (sqrt(17)*1 + 5)**2)).\nAnswer: -109*sqrt(17) - 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, 3, -49, 4, 99 in increasing order.\nAnswer: -49, -5, -3, 0, 3, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -4*u**5\/15 + 11*u**4\/3 - 4*u**3 - 238*u**2\/3 - 392*u\/3 - 3564. Determine j so that l(j) = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b = -8*t - 65*b + 49*b + 313, 3*t - 3*b = 36 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -727, -1461, -2203, -2953, -3711, -4477?\n\"Answer: -4*b**2 - 722*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18741, 18728, 18701, 18654, 18581, 18476?\n\"Answer: -y**3 - y**2 - 3*y + 18746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.167 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g + 120. Let v be q(-6). Solve 5*a + 5 = -4*p + 3*p, 0 = -a - 4*p + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + ((0 - 5) + (-60 - -52) - -11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5010*f - 2492*f - 2557*f - 2.\nAnswer: -39*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 175*m**2 + 2*m. Let x(r) = 45326*r**2 + 519*r. Give 1038*u(s) - 4*x(s).\nAnswer: 346*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 46 = 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(72\/20 + -4). Differentiate 43*i - 5 - x - 3 - 32*i wrt i.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3829 - 3829. Solve u = 35*r - 91 + 231 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7951246 hours in microseconds?\nAnswer: 2862448560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8, 0*l = 2*u - l + 6. Let j be u\/(-2) + 4\/(-8). Solve j = -2*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -15*m + 267. Suppose -276 - 369 = -m*z. Calculate the remainder when 84 is divided by z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 33*y - 46. Let f be z(-9). Suppose 7*b + 6 = f*b. Let j(a) = -16*a**2 + 11. Let m(o) = 3*o**2 - 2. What is b*j(k) + 33*m(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, u: 7}. Give prob of picking 2 p.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/29, 59, -0.4, -2\/17, 4\/7 in decreasing order.\nAnswer: 59, 4\/7, 4\/29, -2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-70))\/((-9)\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(1 + 1 - 4)*(-16 - 5*t**3 - 19 + 54) - 38*t**3 - 27*t + 27*t.\nAnswer: -18*t**3 - 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 44. Let k = d + -19. Suppose 15 = 3*c + k. Solve -4*r - 5*g + 3 = 0, -c*r - 9 = -4*r + 5*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*s = 4*b - 9, b = -5*s + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -38876553.9 to the nearest 100000.\nAnswer: -38900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 695.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 + 12)\/((-1)\/2). Solve b*a = -2 - 0, 4*r = -a + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 39*(2 + 2 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -128, -3, 7, -5 in decreasing order.\nAnswer: 7, 5, -3, -4, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 1:45 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 158826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97382 is divided by 61?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802007.\nAnswer: 802007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9732272 is divided by 324409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016692139 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 19*w - 2408. Calculate v(127).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 14 + 1 = -5*j, 2*j = 5*c - 27. Suppose -2 = -c*q - 2*n, -2*q - 2 - 6 = 3*n. Suppose -q*a = -d - 0*a + 4, -3*d + 3*a = -15. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuguuuugugguuuugu. Give prob of sequence uggg.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + 4\/3. Let k = 4 - x. Differentiate o**k - 3 - 6*o**3 + o**3 with respect to o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6337 - 8*t + t**2 + 12666 - 6410. Determine v(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*u + 539*u = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 2*m**3 + 2*m**3 - 2*m**3 - m**3 - 5*m**3 + (2*m**3 - 40*m**3 + 6*m**3)*(-1 + 0 + 0) - 1 - 2*m**3 + 1 + (-2 + 1 + 3)*(2*m**3 - 7*m**3 + 3*m**3).\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*l - 4*l + 10, 0 = -l - 5. Put r, -5, 3, 1 in decreasing order.\nAnswer: r, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193 divided by -2?\nAnswer: 1193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 330\/(-85) - (-1 - 3). Let h = 19 - 18. Suppose 4 = s + h. Which is the nearest to 1? (a) f (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9426926 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 11 - 45 + 4*h to w + q*h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-1\/4)))\/w**(5\/2)*w**(2\/3)*w**(3\/5)*w*w)**(-1\/16) assuming w is positive.\nAnswer: w**(-31\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 23*s**3 + 79*s - 158*s + 81*s.\nAnswer: -23*s**3 + 2*s - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 7095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1475.667 + 1488.6. Round v to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let v(d) = 10*d**2 + 6*d. Let l(o) = 5*g(o) + v(o). What is the second derivative of l(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*k + 356*k - 20685 - 36899 = 275*k for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*n - 175 - 1457 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3259*m**5*x - 11*m**2*x + 4*m*x + 11*m - 871*x wrt m.\nAnswer: 65180*m**3*x - 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 45636648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/544935 and 133\/653922.\nAnswer: 3269610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.01 (b) -0.17 (c) -109 (d) -2 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 + c - 4. Let j be l(3). What is the greatest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-8))\/(1\/6). Let u = -60 + 63.24. Let d = 1.76 + u. Which is the closest to 0? (a) r (b) -4\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1219 - 649. Suppose -2*z - 3*z = -h. Let v = -34 + z. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.541 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 2 j when four letters picked without replacement from {z: 1, j: 1, r: 1, i: 1, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -6 - 1) + -6. Let t(u) = 13*u**2 - 1 - 12*u + 4*u - 14*u**2 + u - 4*u. Determine t(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**4 - 13*j**3 - 2*j**2 + 246*j + 2 wrt j.\nAnswer: -216*j**2 - 78*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23973 + 43127 = 1540*m + 14740 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1794913 + 1.2.\nAnswer: 1794914.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-2\/7)*r))\/r**(-1\/6))\/(r**4)**(15\/4))**(-1\/8) assuming r is positive.\nAnswer: r**(653\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 2*o**2 + 0*o**2)*(-1669 + 3340 - 74*o - 1662).\nAnswer: 74*o**3 - 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.1 (c) -2506.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955 = -9*d + 1054 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 218*z**2 - 1012*z + 27534. What is x(222)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354132.\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, r: 6}. What is prob of sequence prrp?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76949, 76928, 76907, 76886, 76865, 76844?\nAnswer: 76823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -60*m. Let r(o) = -o**2 - 12*o + 12. Let n be r(-13). Let p be g(n). Suppose -4*i + p = -4*c - 188, -340 = -5*i - c. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/11 (b) -13 (c) 4 (d) 2\/7 (e) -0.3 (f) 2\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2082595 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 2. Let m be (-1 - 4)\/((-1)\/c). What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*s**2 - s**2 + 12*s**2 to x*s + h + b*s**2 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -0.19, 3\/2, 0, 199.8 in decreasing order.\nAnswer: 199.8, 3\/2, 0, -1\/8, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-180)\/(-18))*14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -5\/4, 64?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrqrrqq. Give prob of sequence rqr.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16338104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -578, -1160, -1742, -2324?\n\"Answer: -582*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*sqrt(76))\/sqrt(4).\nAnswer: -5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -2*f**4 - 2*f**3 - 163*f**2\/2 + 54. What is the second derivative of j(n) wrt n?\nAnswer: -48*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 2*v**4 + 2*v**4 + (93*v**3 + 7763*v - 7763*v)*(5*v + 5 - 5).\nAnswer: 467*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -629*k*l*y + 8*k*l - 68*k*y + 21*k - 5*y + 1 wrt l.\nAnswer: -629*k*y + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 - -152. Let l(h) = 7*h - 2. Let j(x) = 6*x - 2. Let y(u) = -4*j(u) + 5*l(u). Let k be y(s). Calculate the greatest common factor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.6 not equal to -0.847587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14528 - -101699\/7. Sort -239, j, -1\/3 in descending order.\nAnswer: j, -1\/3, -239","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -0.2 (b) -0.4 (c) 3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -15. Suppose -2*t - 5 = v, 7*v - 5*v = -3*t - g. What is the units digit of (v - -7)*1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9) + (-4)\/6. Let k(n) = n + 7. Let o be k(-3). Suppose -o*x = -5*x. Solve i*f - 5*f = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 69 + 101 = 0. What is the remainder when l is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -23*w + 228. Determine m(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*g - 0*g - 3*b, 0 = 4*g - 5*b - 39. Suppose 2*m = 5*t + 1370, -11*m + 3*t - 3394 = -g*m. What are the prime factors of m?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 5, -759.\nAnswer: -759, -1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11659 by 1.\nAnswer: 11659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2. Let h = -4259 - -4300. Let d(i) be the first derivative of -h + 0*i**2 - 10\/3*i**3 + 0*i. Determine d(x(r)).\nAnswer: -90*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 742.7811 millilitres to litres.\nAnswer: 0.7427811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 6:05 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.8 - -18. What is the second biggest value in x, 0.39, -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2263 + 1116*i**3 + 2257 - 4520.\nAnswer: 1116*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*g**4\/3 + 184*g**3\/3 + 100*g**2 + 154*g\/3 + 26\/3.\nAnswer: -2*(g - 13)*(2*g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20678?\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14970 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*w = 320*w + 355 + 21790 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 7*r**6\/120 - 2*r**3\/3 + r**2. Find the first derivative of f(w) wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15319, 30680, 46111, 61648, 77327, 93184, 109255?\nAnswer: 125576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 6*c - 12. Determine w(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-6 - (2 + -9 - -4)). Let y be (-12)\/(-4) - d - (4 - 0). Let p be 4\/(2\/y*(1 + -7)). Solve -10 - 2 = p*x - i, 2*i - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*p + 95, -4*y + 58 = -5*p - 137. Differentiate 62*x**2 - 63 - y*x**4 - 62*x**2 with respect to x.\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077170 is divided by 2938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 28 = -70 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 4*d**5\/5 + 5*d**3\/3 + 17. What is the third derivative of o(v) wrt v?\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.04 - 4.24. What is the third smallest value in 1, 2, 0.01, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553943 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21842817, -21842803, -21842789, -21842775?\n\"Answer: 14*r - 21842831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, s: 10}. Give prob of sequence ttss.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) - (-2*sqrt(200) + sqrt(200))))\/sqrt(10))\/(sqrt(120)\/(sqrt(12)*-3)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 9*x + 5. Let l be c(-5). Suppose -l*z - 71 = -11*z. Let t = z + -14. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13947 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:33 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3185620?\nAnswer: 2, 5, 149, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*(15\/55)\/(132\/88)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 951.\nAnswer: 7608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8441*v**4 + 4*v**3*z + v**2 + z + 13683 wrt v?\nAnswer: -33764*v**3 + 12*v**2*z + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 + 2*a + 3. Let r = -17 - -21. Determine o(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429060 is divided by 214278.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*l + 1 = -17, l - 1 = 0. What is the lowest common multiple of m and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 12 + 18 - (-2 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -1.7. Let w = -599 + 594. What is the nearest to -1 in w, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630174769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 306*t**2 + 1963*t - 102. Calculate g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711078.\nAnswer: 2, 3, 31, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3903324 times 0.3?\nAnswer: -0.11709972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/16)\/(24\/32)*160\/(-40).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2711*f**3*h - 5484*f*h wrt f?\nAnswer: -16266*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*s + 1647 + 339 = -535*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 459852 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-4) + (-13)\/26. Let v(c) = 5*c**2 + 3*c + 3. Let d be v(f). Let b = d + -33. Is b >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -16. Let l = 31 + n. Suppose y + 299 = 5*h, l = 3*y - y + 8. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*1\/3*2. List the prime factors of (26\/d)\/((-3)\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 7*y + 122. List the prime factors of d(-37).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -689*v**7\/7 - v**6\/30 + v**4\/3 - v**3\/3 + 50*v**2 + 65*v - 17. Find the third derivative of c(o) wrt o.\nAnswer: -248040*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Let s = -15 - q. Let c = s - -32. What is the lowest common multiple of c and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 3101112?\nAnswer: -3100330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 859 - 855. Let r = 15 - 16.6. Let h = 6.6 + r. What is the nearest to o in -0.2, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*n + 1 = -2, 4*y + 4*n = 36. Is (138\/15)\/(y\/15) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-632)\/(-748) - ((-58)\/(-493) + 0\/(0 + 2)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2235594 or -2235593?\nAnswer: -2235593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/73, -5, 1\/4, 6, 20, -2\/13 in descending order.\nAnswer: 20, 6, 1\/4, -6\/73, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-42)\/(-3) + -3. Let q be 30\/k + 3\/12. Let o be (q\/(-5))\/(4\/(-20)). Solve -o*z - 3 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15569943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-45)\/30))\/(2\/(-16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -415403 - 100?\nAnswer: -415503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-27))\/((-3)\/(-9)). Sort 15, o, 3 in increasing order.\nAnswer: o, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 3\/2*r**2 + 0*r + 3\/8*r**4 - 4 - 3\/2*r**3. Factor c(v).\nAnswer: 3*v*(v - 2)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-10379.138.\nAnswer: 166066.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16082084.\nAnswer: 2, 47, 131, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*t + 974*t + 21348 = 552*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2432 and 83803376.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/5)\/((-90)\/(-175)). Suppose 66*b**4 - z*b + 10*b**2 - 4\/9 + 54*b**3 = 0. What is b?\nAnswer: -1\/3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**3 + w + 7. Let z(g) be the first derivative of -3*g**4\/4 + 3*g - 313. What is -3*y(a) + 7*z(a)?\nAnswer: -3*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a**2 - a - 1. Let l(f) be the first derivative of -3*f**4\/4 - 2*f**3\/3 + f**2 + 8*f + 3. Let c(k) = 4*g(k) + l(k). Determine c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 3.4094, 4, 0.4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-13*i - i - i) - 228 - 63*i + 111 + 117 to the form w + t*i and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484 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: Let v(y) = -2*y - 2. Let h be v(-2). Suppose q + q = -h. Put 0, -3, q in increasing order.\nAnswer: -3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = 29*d - 19*d - 93900. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t + 88 = -67 + 93 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6812, 6980, 7148?\n\"Answer: 168*t + 6644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/7)*g**(-40))\/((((g**(2\/39)*g)\/g)\/g)\/g*g)**(-3\/7))**(6\/7) assuming g is positive.\nAnswer: g**(-21750\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116*k + 98 - 98 + 39*k)*(0*k - k + 3*k).\nAnswer: -154*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {m: 3, a: 8, k: 2, c: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9361\/4 + -2341. Which is the third smallest value? (a) 2\/5 (b) m (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 51*i**3 - 33*i**2 + 126*i - 92. Determine c(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -1.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-270)*9\/2*4\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.53 + 278.53. Let x = 278.00000381 - f. Round x to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1563 + 2612. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -6. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(216)*6 + sqrt(24))\/sqrt(8) - (sqrt(18)\/(sqrt(6) + sqrt(24)) + -4)).\nAnswer: -112*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -341 and -1.026.\nAnswer: -342.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 28*x + 99. Suppose -112*s = -123*s - 264. Let v be w(s). Solve -v = -14*p + 15*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 d when four letters picked without replacement from uldldummudluuumuuuuu.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/36)\/((-14)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-60)\/(-135))\/(-11 + 1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(6*s - 5*s - 5*s)*(-38369 + 299*s + 38369).\nAnswer: -2392*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 + -10 - 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 346969 and 2676618?\nAnswer: 18736326","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 603563 + -12?\nAnswer: 603551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -496098802 take away 696?\nAnswer: -496099498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((76\/3)\/(-2)*(-72)\/(-24)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61175 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11118749 - -11514613. Suppose 4*s = -2*i + i - 45266702, 2*s + y = 5*i. Let p = s - -3816676. Round p to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760, 4949, 12558, 23587, 38036, 55905, 77194?\nAnswer: 101903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -11*a + 247. Let x = a - 49. Suppose y - x = -2*f - y, -2*f + 3*y + 203 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/28 and (-11)\/(-5)*(1 + -4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1943*b - 7663*b - 4385*b.\nAnswer: -10105*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -83.\nAnswer: -4\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*p - 3*v = 396*p + 55, 5*p + 2*v = -35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 312 - 5?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Suppose r = 3*s - 2*s. Suppose s*x - 33 = 4*l + l, -3*l - 87 = -4*x. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 10*y**2 + 6. Let m = 10 - 1. Let x be i(m). Let n = x - -130. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182697*b**4*h**3 - 621*b**4*h**2 - 2*b**2*h**2 + 19*b**2*h + 3*b**2 - 5*b*h**3 - h**3 + 307*h wrt b?\nAnswer: -4384728*b*h**3 - 14904*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvavavyyyx. Give prob of picking 1 v and 1 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-21 - (-3 - -15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 - 2*i - 110. Let s be -3 + 3\/(-15)*0 + -18. Is r(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/2 - 187012985*s\/2 - 187012975.\nAnswer: -5*(s + 2)*(s + 37402595)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 19282 = 16158. Suppose u = -5, -b = -5*a - 19*u + 23*u. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*t**2 + 245*t**2 + 214*t**2 + 253*t**2 - 1440*t**2 + 250*t**2 + 257*t**2.\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51881672, 51881677, 51881682, 51881687, 51881692?\nAnswer: 51881697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.9 * -699.\nAnswer: 8318.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.5 less than or equal to 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3466, -6923, -10380, -13837, -17294?\n\"Answer: -3457*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (63\/(-28))\/(21\/(-12152)). Suppose 2*q + p = -5*i + 22711, 4*q = i - 4273. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.33114 and 56.1795705.\nAnswer: 54.8484305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -0. Let -2*j**3 + 0*j**2 - 5*j**2 + 3*j**2 + z*j**5 + 2*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*22.257.\nAnswer: 4.4514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22923 - -36768. Calculate the greatest common factor of 130 and b.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.4. Is -0.04 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -12*f + 3*s + 1, -5*f = 5*s - 40. Solve -f*q - 3*d = 11, 7*q - 2*q + 13 = -4*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 5736*f**2 - 2736063*f - 5495094.\nAnswer: -3*(f - 957)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngrynfigr. What is prob of picking 1 i and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = 3*w + 56, 0 = 26*p - 5*w - 423. Solve 14*t - 1 = 3*g, 23*g + 22 = p*g + 3*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 118?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millisecond in microseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 0, 2\/7, 3, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120660 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 95*c**2 + 3. Let q(z) = 2863*z. Calculate q(p(b)).\nAnswer: 271985*b**2 + 8589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47*0.2.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-336)*-6*((-200)\/(-90))\/((-8)\/(-36))\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 - 4*n - 1. What is x(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 5*g + g**3 - 1 - 2*g**3 + 2*g**2 + 4*g - g**4 to k + l*g + w*g**3 + u*g**2 + m*g**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16149 is divided by 13932?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -103*y**9\/7560 + 23*y**5\/20 - 75*y**4\/8 + 16*y**2 + 1. Let n(t) be the second derivative of h(t). Differentiate n(v) wrt v.\nAnswer: -824*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 3, e: 1, q: 2, j: 6, x: 2}. What is prob of sequence zjq?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107698431 to the nearest integer?\nAnswer: 10378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4657730 by 5.\nAnswer: -931546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/70, -4, -5, 2, -0.4 in ascending order.\nAnswer: -5, -4, -0.4, 1\/70, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20555 - 20466. Solve -19 = 87*d - a*d + 3*k, d + 8 = -2*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198754 + 1110921. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 2*p. Let j be n(-2). Let r = j - 11. Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a**5\/7 - 26*a**4 + 236*a**3\/7 + 1272*a**2\/7 - 144*a\/7 = 0.\nAnswer: -2, 0, 1\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 605*w**2 - 9505*w + 73. Determine g(16).\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 - 3*u + 276 - 119 in the form l + v*u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 1, p: 2, b: 3, o: 4}. What is prob of sequence bosg?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-11*-1 - 0. Let l = 15 - b. Suppose l*h - m = 3*m + 24, 9 = -2*h - 5*m. Solve 3 = i, -12 = 5*r + h*i - 7*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 32*f**2 - 14*f + 7. Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 minus -2740970443025?\nAnswer: 2740970442738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-153 - 3*h**2 + 0*h**2 + 152 - 2*h)*(0*h**2 - 4*h**2 + 2*h**2) + 3*h**4 - 4*h**3 + 4*h**3 to q*h**2 + s*h + d*h**3 + t*h**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3278272 to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -447, -893, -1339?\n\"Answer: -446*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 + 34172527?\nAnswer: 34172557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11011021 (base 3) to base 2\nAnswer: 101111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*u**3 + 105*u**3 - 211*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68781?\nAnswer: 3, 101, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - s - 3*s + 125, -3*s + 101 = 4*r. Suppose 5*t - 275 = -2*u, -u = -t + 33 + r. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p**2 - 3*p - 2. Let u be r(-1). Let h be (-55)\/u + 64\/(-10) + 1. Let z = 2 - 0. Which is the closest to h? (a) -4 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 1. Let a(o) = 7*o + 5. Let c(w) = -a(w) + 5*h(w). Let z be c(-2). Solve 0*v = z*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-54)\/(-5)))\/((39\/(-13))\/6)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*i - 2, -2*i + 0*i - 8 = -s. What are the prime factors of s - 50\/(-4)*106?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in -0.02, 1, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-42) - (-3)\/(-273)*13. Which is the nearest to r? (a) -2\/17 (b) -0.02 (c) -1\/4 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 109*z**2 - 28 + 7 + 4.\nAnswer: 109*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 131940.\nAnswer: 131940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -2 - (289 + -284).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 - -4.01. Let u = -0.291 + 1.981. Let l = u + h. Which is the closest to -5? (a) 5 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*h + 4*h + 8 = 0, 0 = 4*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1209540515 and 13714?\nAnswer: 6857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*s = -14 - 7, -17 = -2*z - 3*s. Let j be (-12)\/(z - 0 - 2). Let n = j - 0. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 4. Let g(d) = d**3 - 5*d**2 - d + 2. Let f be g(5). Let x be a(f). What is the remainder when 7 + 0 + 0 + x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -179699*u**2 - 14171141?\nAnswer: -359398*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {x: 1, l: 1, d: 1, a: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1361110\/9 - -151838. Suppose 161 + 447 = -c. Let k = n + c. Find the common denominator of k and 27\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(13) + 1) + sqrt(13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*a + 8, 11*a + 2*t + 2442 - 2516 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 40 = -2*m. Let x(c) = -4*c + 3. Let i(d) = -d - 1 - 7 + 8. Let j(u) = -10*i(u) + 2*x(u). Let l(o) = o + 4. Give m*l(p) - 5*j(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2208 - -3.\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**6\/2 + 18*d**5\/5 - 51*d**4\/2 + 56*d**3 - 117*d**2\/2 + 30*d - 238. Factor v(f).\nAnswer: 3*(f - 1)**4*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368 less than -369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 9520 and 9522 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 7. Suppose 5*q - 6 = 2*q. Let j = q - 6. What is c(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 + 741 = -14*x + 117. Is x less than or equal to -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 9 + 6. Let y be (-3)\/g + 3 - 0. Suppose 5*v - 2 = 23. Solve -28 = -4*x + v*j, 2 = -j - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + (-1 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 11:25 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/260 and 94\/195?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334 - 329. Let b be (-2*1)\/(16\/(-40)). Let m(c) = 4*c + 5. Let x(s) = -3*s - 6. Let p(y) = b*x(y) + 4*m(y). Determine p(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(1008) - (sqrt(1008) - (0 + sqrt(1008) - sqrt(1008)))) + sqrt(1008) + -2 + 2)*-4*6)**2.\nAnswer: 580608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1875 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4668 by -1556.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - -58 - 154 - -59 - (0 + 1).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*d - 37, -41 = 4*x - d + 15. List the prime factors of ((-438)\/5)\/(2\/x).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-8)*280\/126. Which is the fourth biggest value? (a) -0.3 (b) 162 (c) -2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22538 or -22502?\nAnswer: -22502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5414\/(-73089) + (-316)\/(-1350).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3210196*y**2 - 98076*y**2 - 436733*y**2.\nAnswer: 2675387*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -9. Let i(m) = 2*m + m**a + 0*m**2 + 0*m**2 + 1 + 2. Let q be i(0). Solve -4*c + 4*u = -2*c, 5*c = q*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2609 in 4\/5, -0.2, 1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 17, c: 2}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6434 is divided by 2139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 3 + 15. Let k be -5 - (g\/(-1) + 0). Is k > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(3\/5)*u)))**(-2\/75)\/((u*(u*u\/u**0)\/u*u*u)\/u)**35)**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -11 - ((-63)\/((-5292)\/280) - 10864\/(-1416))?\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 223 - 184. Let a be d\/52*(5\/(-9) - -1). Put 0, -7\/3, a in decreasing order.\nAnswer: a, 0, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -0.4 (b) -2\/9 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 13*y**5\/4 - y**4\/12 - 5*y**3\/3 - 14*y**2 + 3*y. What are the prime factors of u(-2)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 600807217 to the nearest integer?\nAnswer: 24511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 10*x**2 - 9*x - 14. What is the tens digit of g(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20803 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 7 + 46*g**2.\nAnswer: 46*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-12 + 3 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x - 50. Determine u(-7).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-6))\/(20\/(-180))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, z: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:18 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgm when three letters picked without replacement from mmpgmgmi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470591 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 18*l + 12. Let g be v(-17). Let i be 11\/33 - g\/(-3). Let r be 1752\/(-30)*5*i. Round r to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39364 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600401 divided by -9.\nAnswer: -600401\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068758399 rounded to 3 dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1743989 is divided by 4262?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 51 = 5*f, 76*f - l - 18 = 79*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-683)\/10 - ((253\/(-22))\/(-23) - -1). Is l greater than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + n - 3844 - 15425 = 0, -3*n + 28899 = 3*c. List the prime factors of c.\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*t + 544 = 0, 3*v + 4*t = 2*v + 128. What is the remainder when v is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(2\/7))**(-26))**(-2\/37)\/((q**(-2\/5)\/q)**35*q**(-5)*(q*q**(4\/9)\/q)\/q) assuming q is positive.\nAnswer: q**(132785\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-108)\/(-126)*(13 + 1). Let x be 6 + 1 - (1 - 1). Suppose -x*z = -5*z + w. Let s(m) = -m**2 - 7*m - 6. What is s(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/(h*(h\/(h*h**10))\/h))\/((h**(7\/5)\/h)\/h*h**(-2\/71)) assuming h is positive.\nAnswer: h**(2353\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, and 2 m when four letters picked without replacement from cucamddcdadcumacumuo.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3\/2 + 69*w**2 + 357*w\/2 - 645 = 0.\nAnswer: -43, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10101101110010110 (base 2) to base 4\nAnswer: 111232112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353662 is divided by 173590?\nAnswer: 6482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -669532 + 71420. What are the prime factors of s?\nAnswer: 2, 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + -2)*6.\nAnswer: -12 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/6 - 31\/12. What is the nearest to -1 in 3, -1\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2\/4*6. Let n(b) be the third derivative of -b**5\/60 - 5*b**4\/24 - b**3\/3 - 97*b**2 - 3*b. Give n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - g**2 + 0*g**2)*((-6*g - g + 8*g)*(0 + 7 - 2) - 18*g + 459 - 459).\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:30 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**3 - 4*n**2 - 1. Is l(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 48 = -44*q + 9*g, -199*q - 5*g + 85 = -195*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -20 - (54 - 82)) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181516763?\nAnswer: 73, 2486531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u + 93. Give w(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-9)*(-1)\/(-2). What is the derivative of 40 + p*y**2 - 88*y**3 + 137*y**3 - 2*y**2 wrt y?\nAnswer: 147*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2476 + 112874. What is q rounded to the nearest 1000?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*u - 3198 + 2798 = 0. Suppose -4 - 4 = -4*v. Solve -u*q + 9 = -v*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(256) - sqrt(256))\/((sqrt(24)*-1)\/sqrt(12)))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84439*i + 64575 with respect to i.\nAnswer: -84439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33587 is divided by 93.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:35 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 20*s**2 - 39*s + 26. What is the tens digit of t(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -29*u**2 - 182. Let k(l) = -102*l**2 - 639. What is -5*k(j) + 18*v(j)?\nAnswer: -12*j**2 - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2356432 by -26.\nAnswer: 90632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51\/2 - 25. Let x be (-3 + -27)*(-1)\/(-2). Let l be x\/(-12)*-2 + 2. Which is the third smallest value? (a) o (b) l (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/15*(-3)\/(-162)*-9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:46 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357 and 867.\nAnswer: 6069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 2:39 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 20*p. Let t(h) = -1672478*h. What is q(t(s))?\nAnswer: -33449560*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 y when four letters picked without replacement from ymymmmmmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69616 and 4122?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*x - 98 - 96. Solve 0 = i + m - 4, -x*i + m - 2*m = -9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44861922 to the power of 1\/2, to the nearest integer?\nAnswer: 6698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 4\/1) + 9. Let h be (-6)\/(-4)*(3 + (-52)\/i). Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/17)*y)\/((((y\/(y*y\/y**(5\/2)))\/y)\/y)\/y))\/((y*y**(-5)*y*y)\/y)**(-15) assuming y is positive.\nAnswer: y**(-1449\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 847 and 40161?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/2 - 35*i**3\/2 - 189*i**2 - 396*i = 0.\nAnswer: -6, -3, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftn when three letters picked without replacement from tdcfncn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 52. Let y(u) = 13*u**3 - 16*u. Let a(m) = m**3 - m. Let v(j) = t*a(j) + y(j). Find the second derivative of v(l) wrt l.\nAnswer: 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61232000 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 13*f - 6. Let g be z(-14). Solve -5*a = g + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 + n + 4. Let p be z(2). Let m be p\/(-4) - (-85)\/34. Suppose m*q - 48 = -2*l + 17, 5*q = 5*l - 100. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-3) - (-2)\/6. Suppose 12 = -2*m + 2, -r*b = 5*m - 128. Suppose c + 4*x + 3 = 12, 4*c + x - b = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -2\/9, -4, -73, 5\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - d = 278311, -5*d - 30 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 16. Let l be t(12). Let g be 4 - 1\/(l\/8). Suppose -g*i = 4*j - 44, -2*j = 3*i - 5*j - 102. Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bb33b5 + -32?\nAnswer: 1bb3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(216) - sqrt(6)) + -1*(sqrt(6) + -2*sqrt(6)))\/((-3*(sqrt(486) + sqrt(6)))\/sqrt(2)))**2 + 5.\nAnswer: 133\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/54 + 130\/18. Let b be f*((2 - 3) + 6). Let a(v) = b*v + 3*v**2 - 5*v**2 - 32*v. Determine a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*c - 132 + 132 in the form y + o*c and give o.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -30, -38, -50, -66, -86, -110?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7261*a - 61337 - 334647 = -132356 + 346296 for a.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 25*n**2\/2 - 299. Let v(y) = 10*y**2 - 2*y. What is g(v(x))?\nAnswer: 250*x**2 - 50*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -624277*x + 741041?\nAnswer: -624277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) 2 (c) 8 (d) -61 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 2*x - 4*x)*(-8 + 1 + 15) + 6*x - 3*x + 2*x + (4*x - 2*x - 3*x)*(9 - 9 - 23) as w*x + m and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Suppose -o + 3*o - 2 = 0. Let j be (0\/(-1))\/(o + 0). Is j less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 1519 + 1597 = 0. Calculate the least common multiple of (-184)\/(-10) + (-4)\/10 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 7*z. Let o(i) = -i**2 + 2*i. Let l(c) = 14*o(c) + 4*t(c). Let v(n) = -n**2. Calculate l(v(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -1673895.\nAnswer: -1673895.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2 + 57*j + 181. Let z(b) = -3*b**2 + 31*b + 90. Calculate 6*s(x) - 11*z(x).\nAnswer: -3*x**2 + x + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-171574)\/52)\/(4\/(-16)*2)?\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4260028 and -3?\nAnswer: 4.2780084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 3*2*sqrt(84)) + sqrt(84))\/(-5*sqrt(6)*-2))\/(sqrt(200)*2*1 + -6*-1*sqrt(200)).\nAnswer: -sqrt(7)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3023\/5 + -604. Solve d*c**2 - 3\/5 + 0*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21354?\nAnswer: 2, 3, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 3261 - 28167 = 0. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -34. Suppose n*z + 236 = 4*j, -2*j = -5*z + 4*z - 116. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-10 - -2) + -3 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 1222011012?\nAnswer: -1222010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 12. Let f(i) = 9*i + 24. Let w(p) = -6*f(p) - 13*o(p). Let g be w(6). Suppose g = -3*q + q. Solve q*v = -v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8*-7*(-120)\/140?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12070966 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2124 is divided by 97.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -28. Let f = y - 9. Solve 4 = f*q - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1005636224*g**3 + 16864852*g**2 - 2*g?\nAnswer: -6033817344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191889, 383781, 575673, 767565?\nAnswer: 959457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2631015*c**2*w - 6771470*c**2 - 3*c*w + 3*c + 2*w - 1 wrt w.\nAnswer: -2631015*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*3*-1*sqrt(288)*4)**2.\nAnswer: 1492994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/3)*a*a*a**1*((a**(2\/9)\/a)\/a)**(-2\/19) assuming a is positive.\nAnswer: a**(602\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*w + 238 = -9*j, -5*j + 5*w - 335 = 0. Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2432*c - 3881. What is the ten thousands digit of a(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - -2. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 9. Let s = n - 2. Let t(l) = -5*l + 1. Calculate t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -5 - 1\/3)\/3\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4, 52 = 3*o + 5*b - 10. Find the third derivative of -o*m**4 + 33*m + 15*m**2 - 34*m - 44*m**4 wrt m.\nAnswer: -1632*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqddcoioiii. What is prob of picking 2 o, 1 d, and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/60 - (-49)\/(-35). Which is bigger: l or 3\/2234?\nAnswer: 3\/2234","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -698, -1763, -3306?\nAnswer: -5327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0*i**3 + 1\/6*i**4 + 0*i**2 + 19*i + 0. Let t(w) = 13*w. What is z(t(o))?\nAnswer: 338*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1323)\/(-70) + -20)*(-4)\/11. Is v >= 1874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12331328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Let f = 16 + -22. Let k = 4 + f. Sort 0, k, o in increasing order.\nAnswer: k, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3\/5 + 2807*b**2\/10 + 374*b - 4564. Let a(k) = 0. Calculate k.\nAnswer: -935, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2*((d**(-5)\/d)\/d)\/d)\/(d**(1\/4)\/d)**(-2\/73))\/((d*d**6)\/(d\/d**4)*d**6\/d*d**(-2\/9)) assuming d is positive.\nAnswer: d**(-26015\/1314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7734 + 11406. What is the highest common factor of 24 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3819 + -7?\nAnswer: a3812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 347564183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 23403?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27511\/9 - -3057. Let g(z) be the third derivative of -19\/180*z**5 + h*z**3 + 0 + 8*z**2 - 1\/24*z**6 + 0*z**4 + 0*z. Determine a, given that g(a) = 0.\nAnswer: -1, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12 - 12956\/13904?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471221.\nAnswer: 3, 163469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -2. Let d = 0.031 + -23.031. Let c = -22.6 - d. Sort c, 5, n in descending order.\nAnswer: 5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 29. Suppose 0 = -4*m - y - 54, -291*m + 286*m = 5*y + 60. What is s(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4752 divided by 4\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 45, -0.7, 0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 0*n**2 - 4*n**2. Let h(s) be the first derivative of 0*s**2 + 3 + 0*s - 1\/3*s**3. Determine y(h(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.9 - -17. Which is the nearest to j? (a) -0.5 (b) -4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -358?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 1.0997795. Round p to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f - f - 3*f to o + b*f and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - -8 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -fcb2b1 (base 16) to base 4\nAnswer: -333023022301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*v + 2*v. Suppose -3*x - 5003 = -4*j - 2*x, -v*x = 2*j - 2488. Round j to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/3 + 11773*p**2 - 317938*p\/3 + 164864 = 0?\nAnswer: -35328, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 115893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 9 = -3*v, -27 = -46*v + 45*v - 3*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3736, 3746, 3758, 3772, 3788?\n\"Answer: n**2 + 7*n + 3728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -3, 126, 470 in increasing order.\nAnswer: -3, -6\/11, 126, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 0*v + 2*v + (-2 + 2 - 2)*(-v + 0*v + 2*v) - 3*v - v + 2*v - 1 - 33*v - 2 + 30*v.\nAnswer: -9*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-757 + 734 - (0 + -39)) + 47?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 509 and 2112350?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 33 + 0 - (44646 + -44591)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {e: 12, j: 4, p: 4}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*1\/(-5) - (-168104)\/40. Let w = 5895 - s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 8*i + 3*i. Suppose -6*h + 2*h + 3*z = -25, 4*h = -2*z + i. Suppose 3*y = -h*l - 7, 0 = -3*l - 2*y - 2 - 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102548695?\nAnswer: 5, 20509739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/456 and -107\/52512?\nAnswer: 997728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*f = 9, -3*x + 49*f + 33 = 44*f for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-427 - -436) + 0 + 0 + 6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w + 2. Let d(l) = 14*l - 7. Let y(r) = -3*d(r) - 8*n(r). Let z be y(2). Suppose 3*b - 10 = -2*b. Are b and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-9) + 2\/(-6). Suppose 2*l = -r + 6*l + 9, n*r - 7 = 2*l. Let u(h) = 4*h**3 + 1. Let z be u(r). Solve 5*k - 5*q = -30, -4*k + z*k = -q + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**2 + 42*h + 11*h**2 - 873*h**3 + 0*h**2 - 17*h wrt h.\nAnswer: -5238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2034 and 38660916.\nAnswer: 115982748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7*i\/(((i*(i\/(i\/(((i**(-4\/5)\/i)\/i*i)\/i)))\/i*i*i)\/i)\/i))\/((i*i**(1\/3))\/i)**48 assuming i is positive.\nAnswer: i**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1499 by 1958.\nAnswer: -1499\/1958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1006426 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -214?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -908, -1678, -2448, -3218, -3988?\n\"Answer: -770*b - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 2*q = -10*q + 28. Solve b - 2*s - 2 = 0, -q*b - 12 = -23*b + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*h + 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 18 = 7*v. Let f = 33 + v. Let x be f\/(-18) + 32\/6. Solve 4*r + 0*r = x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -558112273.1?\nAnswer: 558112272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18133*y**3 + 8 + 18338*y**3 - 8.\nAnswer: 205*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at least as big as -5038188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -87 (c) -0.04 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417287713?\nAnswer: 41, 479, 72167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:19 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1330)\/(-12) - -3)*6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 4, -1, -763?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31907?\nAnswer: 31907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.39, 4, 36 in ascending order.\nAnswer: -1\/2, 0.39, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*g - 9*l + 10*l, -4*l = g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, i: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1422 + 11*c**3 + 1422)*(1 + 2 - 4)*(3*c**2 - c**2 - c**2).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13. Let p(z) = -z - 27. What is 2*p(a) - 5*v(a)?\nAnswer: -2*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 8*c**3 + 11*c**2\/2 + 15*c + 78. What is the hundreds digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45959?\nAnswer: 45959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 702 - 2045\/3. Let i = 181\/9 - h. Let s be (3*1\/39)\/((-1)\/(-2)). Which is the second biggest value? (a) s (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 + 3*k**3 - 2*k**3 + 2*k**2 + 0*k**2 + (-46 + 46 + 8*k**2)*(3*k**2 - 2*k**2 + k**2).\nAnswer: 19*k**4 + k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4071 by -226.\nAnswer: -4071\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2.6 (c) -3\/5 (d) -1 (e) -7 (f) -0.71\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/3 - -11\/24. Which is the fourth smallest value? (a) r (b) -2 (c) -2\/17 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4589304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13369759 - -24374637. Suppose 9*w = -59095604 - a. What is w rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:33 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21316 is divided by 10594?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + m)*(-2 + 1 - 2*m + 2).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-72)\/45)\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(7 - (1 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5643*n**2 - 2808*n**2 - 2828*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*y - 14. Solve -4*t = 4, 2*a - 5*a + t - y = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c - 19*c**4 - 6*c**2 + 0*c**5 + 3*c + 25*c**4 - 3*c**5.\nAnswer: -3*c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*u + 40*u + 189*u - 23*u)*(-1530 + 1530 - 113*u) to q*u**2 + v*u + i and give q.\nAnswer: -24634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17164946311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 - 19*n + 46*n + 254.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)\/y**(-2)*y**(-1)\/y**(1\/5))\/(((y\/(y**(-1\/2)\/y*y))\/y)**(1\/2)*y**8*y**(-2\/9)\/y) assuming y is positive.\nAnswer: y**(-7487\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*l + 39*l + 24. What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1. Let z(g) be the second derivative of -g**4\/12 - g**3\/2 + g**2\/2 + g. Suppose -2*o = -y - 5, 4174*o + 4 = 4*y + 4178*o. Give y*z(l) + j(l).\nAnswer: l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -352*z + 140*z + 9964 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 1}. What is prob of sequence vv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(1\/(-3)). Is 1 + r - (-6 - 25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 + 118. Let a be (-1)\/(w\/4 - -4). What is the nearest to 1\/2 in 2, -6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.469 and 1.\nAnswer: -0.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + 2 + -1 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*0\/2. Suppose y = 5*s - 3*s - 162. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54146, -216744, -487722, -867068, -1354770?\nAnswer: -1950816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 902 and 1804?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 4*d + 1. Calculate v(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 13, -1 in decreasing order.\nAnswer: 13, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 119 times 0.01826\nAnswer: 2.17294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 2*h - 3. Let k be t(2). Let j(l) = 2*l + 9. Let i(r) = r + 4. Let p(w) = k*i(w) - 2*j(w). Does 5 divide p(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2208.10779s to weeks.\nAnswer: 0.003650971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181\/2 - -88. Let w = -4.4 + 4. Which is the third biggest value? (a) w (b) 2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 8700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1130, -2140, -3150, -4160, -5170, -6180?\n\"Answer: -1010*x - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2\/3, -1, -10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21908.8 * 3.\nAnswer: 65726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12796038.557 rounded to the nearest ten thousand?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.322 + 1.322. What is the closest to 74 in -1\/4, 3, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooccsotocctcch. Give prob of sequence oth.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -0.06469?\nAnswer: -1.03504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(27) + 0)**2 - 2*sqrt(9)\/sqrt(3)) + -3 + 0 + sqrt(9)\/sqrt(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 + 304*q**3 - 5460*q**2 - 12168*q = 0.\nAnswer: -2, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvggalga. What is prob of sequence algv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00464 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 6*z**2 + 2*z + 4. Let h(v) be the first derivative of -v**3\/3 - v + 26. What is 6*h(m) + s(m)?\nAnswer: 2*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530 and 4876?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -181? (a) 4 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1080\/81*(-43)\/(6880\/180).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 17. Let y be (-8)\/u - (-22)\/99. Is -9 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -19 in decreasing order.\nAnswer: -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 268, 275, 286, 301, 320?\n\"Answer: 2*u**2 + u + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49074720 and 6460?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 82, 13 in descending order.\nAnswer: 82, 13, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*q = -153*q - 30604 + 7244 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - (-5208)\/(-1705). Is -2 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c - 845. Let f(g) = -27*g + 846. Give -4*f(j) - 5*q(j).\nAnswer: -2*j + 841","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 3572?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1555*m**2*o**2 - 8*m**2 - 102*m - 371268*o**2 wrt m?\nAnswer: -3110*m*o**2 - 16*m - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, x: 3}. Give prob of picking 3 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 34 = t + t, 14 = 2*k - 2*t. Let v = -11 + k. Let q be (v\/(-6) - 2)*-2. Solve 3*m = p - 3, p = -p - q*m - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 1. Let q be i(0). Let z = -10 + 13. Let u(x) = -x**2 + 15*x**3 + 0*x**2 - 7*x**z. Give u(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 144, 787, 2424, 5547, 10648, 18219, 28752, 42739?\n\"Answer: 82*z**3 + 5*z**2 + 54*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 - 84560*o - 357519680 = 0.\nAnswer: -8456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (7 - 10) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83059 is divided by 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 398445870 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -133, -224, -319, -418, -521?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1261925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(468) + 1*sqrt(468) + sqrt(468) + sqrt(468)))\/sqrt(9))\/(sqrt(256) - (sqrt(256) + (sqrt(256) - 1*sqrt(256) - sqrt(256))*-1)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 820*l - 26. Let d(j) = -91*j + 3. Let s(g) = 52*d(g) + 6*i(g). Let n(v) be the first derivative of 2*v**3\/3 - 1456. What is s(n(h))?\nAnswer: 376*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 3*t + 2 + t - 2 + (-1 + 1 + 1)*(3*t - t + 0*t))*(2 - 3 - 1) - t - 3*t + t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18824 and 4181281?\nAnswer: 33450248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 8*q**2 - 6*q - 9. Let l be k(7). Let g = -1 - l. Let o be 1 - (-2*g - 0). Let j(m) = -2*m + 1. Determine j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*z + 5*s, -7*z + 5*s = -28 + 40 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6752 divide 2333333782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 134059 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j - 2*j + 39*j - 17*j to the form c + w*j and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = q + 3*x, 5*x - 22 + 2 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114225211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 16, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(2\/(-6)). Let i = 0.216 - 0.016. Which is the biggest value? (a) i (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (9 - 19) + 19 + -33?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/5 + 88*o**4\/5 - 9722*o**3\/5 - 1408*o**2\/5 + 31008*o = 0. What is o?\nAnswer: -95, -4, 0, 4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 55171.\nAnswer: -2\/55171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -778*m**2 - 3098*m + 21. Give s(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70.9 and -669.\nAnswer: 47432.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - h**2 + 29*h + 5. Let j be q(0). Solve -4*m - 4 = 2*x, -237*m + 232*m = j*x - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523920487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + -3 + sqrt(500) - (sqrt(500) + (3 + sqrt(500) + -4 - sqrt(500))))*5)**2*4.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 239515733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m - 224 = 30*m. Suppose -m = -55*o + 47*o. Put -5, o, -3, 5 in ascending order.\nAnswer: -5, -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -0. Suppose 2*g = -3*n + 23, -3*g = -3*n - 23 + 11. Solve 3*z + 16 = s*a - g, 2*z = 3*a - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549815 is divided by 164.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z = -9 - 323 - 108 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4042 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1702 + -1?\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1793232, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -58a (base 13) to base 2\nAnswer: -1110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -32.71?\nAnswer: -32.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 338 and 3619811.\nAnswer: 7239622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5*x + 5093*r**4*x**2 - 4*r**2*x - 27*x**2 + 12 wrt r?\nAnswer: -120*r**2*x + 122232*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(1 + 2 - 2)*(5*i + i - 3*i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 32*l**2 + 71*l - 100. Let s be a(34). Suppose s*r = 3*r - 39. Calculate the remainder when 85 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/11 + 78178*s**2\/11 - 1797156*s\/11 + 4687920\/11 = 0.\nAnswer: 3, 20, 39066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 - -4721\/40. Let i(f) be the third derivative of -5*f**2 + 0*f**4 + 0 + 0*f - q*f**6 + 0*f**5 + 1\/3*f**3. Find the first derivative of i(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-5)\/225)\/(8\/10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {y: 3, a: 8, m: 1, b: 2, h: 5}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)*f*f)**20)**(2\/27) assuming f is positive.\nAnswer: f**(80\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -13, -22, -23, -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 935 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -21, -2, -1, 1 in ascending order.\nAnswer: -56, -21, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**(-26))**(19\/3) assuming l is positive.\nAnswer: l**(494\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*3*4\/42. Let d(p) be the third derivative of -p**4\/12 + p**3\/6 + p**2. Determine d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1302)\/(-105) - (-4)\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9341 take away -4?\nAnswer: -9337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.050085.\nAnswer: 0.0150255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 + 93248*l - 2 + 6 + 321039*l - 14. Suppose 7*o + 7 = q + 2*o, 4*q + o - 28 = 0. Let p be i(q). What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -3*p**2\/2 - 25*p - 27. Let i be j(-9). Solve -f = i*m - 6, -f - f + 2*m + 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 603840 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-37)\/7 + (-2)\/(-7). Is 15 a factor of 6\/(-15) - 152\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 785?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 4*y**2 + 0*y**3 + y - y**4 + 0*y**3 - y**4 to a*y**2 + n*y + k*y**4 + w + i*y**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*c**2*h**5 - 3*c**2 - 9*c + 2*h**5 - 2*h**3 + 2*h**2 wrt h.\nAnswer: 1020*c**2*h**2 + 120*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7134.59 and -0.3?\nAnswer: -2140.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*t + 290908 + 3096688 = -1175068. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25930803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 33*g**2 + 198*g + 116. Let w be m(26). What is the highest common divisor of 77 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by (11 + (-245)\/28)\/(36\/912).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10222220010 (base 3) to base 9.\nAnswer: 128803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l - 1060 = 28*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 + 52*b**3 - b**3.\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7582, 7584, 7586, 7588?\n\"Answer: 2*j + 7580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 4*d + 2655 - 2655 to the form h + b*d**2 + w*d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55\/8, 5\/16, 0.5 in decreasing order.\nAnswer: 55\/8, 0.5, 5\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 31. What is the lowest common multiple of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 15336 - (2 + 1). Let o = 214897\/14 + j. Find the common denominator of o and -53\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -254*p + 7980. Calculate v(32).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438326448.\nAnswer: 2, 251, 607153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 11*y**2 + 9*y + 8. Let u be j(10). Let f(g) = -3*g**3 + 2*g**2 + g + 5. Is f(u) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12164545.\nAnswer: 5, 2432909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzaawwawwwwwzw. Give prob of picking 1 w and 3 a.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 49 + 26 + 23.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -12\/19, 0, 0.3.\nAnswer: -12\/19, -0.1, 0, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05999992 - -0.06. What is y rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94473213 divided by 31491071?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11204742 and 87.\nAnswer: 324937518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 - 1 = 0. Let u = 12 - c. Let o = -10 + u. Sort 2, 0, o.\nAnswer: o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 c when three letters picked without replacement from ccucccurccrr.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1 - 8*h - 7 + 3*h - 3*h. Let g(s) = -23*s - 17. Let a(x) = -6*g(x) + 17*w(x). Let j(n) = -4*n. Determine a(j(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6652569 by -341.\nAnswer: -19509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 651 = 68*h - 61*h. Let g = -90 + h. Solve 0 = -u + 5*s - 16, -g*s + 2 = -4*u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 2*y. What is the remainder when 21 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {p: 3, i: 5, r: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:06 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.9 + -24. Which is the third smallest value? (a) i (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/5, -31, -0.28, -4, 2, -0.1, -0.85?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 119.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:49 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*a - 339*a = -2619. What is the remainder when 314 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q - 2*q - 5*q**2 - q**3 + 3*q - 2*q - 5. What is v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -909467*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-25)\/10)*0 + 4. Suppose 0 = -4*c + 12, i*o - 4*c - 516 = -8*c. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -11 - 2 - (-1 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -327, -328, -335, -354, -391, -452?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(-3*sqrt(972))\/(sqrt(96) - sqrt(96)*-4 - sqrt(96))*5 + 0)**2.\nAnswer: -405*sqrt(2)\/2 + 18297\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -1, -5\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 233424652175.18?\nAnswer: 233424652174.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -748723\/80510 - 2\/8051. What is the common denominator of w and 235\/(-25) - 2\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -352160, -352228, -352298, -352370, -352444, -352520?\n\"Answer: -x**2 - 65*x - 352094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 9573, -2, -296 in decreasing order.\nAnswer: 9573, -2, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23 - 6) + (-3 - -11) + -1. Solve -28 = -5*z - 3*k, -8*z - 3*k + w = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/45738 and 89\/43504461.\nAnswer: 261026766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1204, 1206, 1208?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wll when three letters picked without replacement from {l: 4, w: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/(-24) + (-2)\/8. Suppose -k - f*y - 12 + 5 = 0, 0 = -y - 2. Let c(b) be the third derivative of b**5\/20 - b**4\/24 - b**3\/6 + b**2. Calculate c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -8733?\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**7*l)\/l)\/l*l*l*l**(-5\/14)*l*l*(l**42)**(-4\/13) assuming l is positive.\nAnswer: l**(-2781\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 943, 963, 983, 1003, 1023?\n\"Answer: 20*w + 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 619, 1105, 1715, 2455, 3331?\nAnswer: 4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7222133 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kff when three letters picked without replacement from {j: 1, k: 1, f: 4, r: 7, l: 4}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/3)\/d)*d*d**(-3)*d)\/(d**(1\/2))**(18\/7) assuming d is positive.\nAnswer: d**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 0.9, 1\/3 in descending order.\nAnswer: 2.5, 0.9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 1\/7, -37030, -6, -3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 895486312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8326942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.486223ng to micrograms.\nAnswer: 0.000486223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 s, and 1 v when four letters picked without replacement from {m: 1, v: 1, n: 1, x: 1, s: 2, e: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412000 = -u + 21*u. What is u rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2126 to 3 decimal places.\nAnswer: -0.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((21\/(-4))\/(-3))\/((-12)\/(-48)). Let b(t) = t**2 - 6*t + 1. Give b(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3811052 greater than -3810782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14737611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.662 + 1.662. Sort -3\/11, q, 2\/7, -4 in decreasing order.\nAnswer: q, 2\/7, -3\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2276 + -2273. Is 23\/6 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4828 and 9514.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*s - 773 - 5422 - 11862 = 0 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -66466.517 to the nearest integer.\nAnswer: -66467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-536)\/(-104) + 2\/(-13). Suppose 463 = 4*v - x*y - 508, -5*v - 5*y + 1270 = 0. What are the prime factors of v?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(3)*-5)\/((2*sqrt(30))\/sqrt(3)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6499369 nanometers to meters.\nAnswer: 0.0000000006499369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1. Let s(g) = 6*g + 38. Give s(m) - 5*u(m).\nAnswer: 6*m + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (203 - (-1227166)\/(-6045))\/(1\/(1*3))\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 2. Let j be s(-1). Suppose j = -2*v - 1. Put 4, -3, v in decreasing order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 41*n**2 - 45*n - 124. Let p be g(-42). Let o(j) = -2*j**3 - 3*j**2 + 3*j - 1. Determine o(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8706, 8706, 8708, 8712?\n\"Answer: z**2 - 3*z + 8708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*j + 0 - 2 - 37*j)*(128 + 47 + 10) + 2*j + 0 + 0.\nAnswer: -15908*j - 370","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 65. Let y = d - 47. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 1. Suppose -4*b + 3*u + 5 = 0, u + 6 = -6*b + 3*b. Let o be s(b). Suppose 5*d - 138 = -2*p - 20, -2*p + 8 = o. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 19 = -5*z, 3307 - 3218 = 4*j + 7*z for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*19\/(-76)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3 + 328226.7641.\nAnswer: 328222.4641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63945\/270)\/(-29)*(-8)\/14.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let a(w) = -9 - w - 11 + 23. What are the prime factors of a(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 999594*x - 83265680403.\nAnswer: -3*(x - 166599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**7\/90 + s**6\/20 + s**5\/15 + s**4\/6 - 8*s. Let j(f) be the third derivative of d(f). Factor j(i).\nAnswer: 4*(i + 1)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 2. Suppose 2*d + 2*z - 57 = -3*d, -4*d - 4*z + 48 = 0. Let q = d + -3. Is 7 a factor of p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 0.5, 3, -26, -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(1\/2) + 0. Let j = 6564 + -6565. Let y be 27 + -23 + (j + r - 0). Solve -o + 4 = -i - 1, -o - i = -y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - sqrt(3240)*-5)\/(sqrt(72)\/(sqrt(45)\/sqrt(5)) + sqrt(8)).\nAnswer: 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303 by 4.\nAnswer: -303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24029 + 24565.12. Let v = w + -513. Let x = -22 + v. Round x to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269599*j**3 + 264555*j**2 wrt j.\nAnswer: -1617594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*y**2 + y - 69 wrt y?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxoxooxooooooo. Give prob of picking 3 x.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122.5 - 121.5. Which is the nearest to 1? (a) p (b) -0.3 (c) 12 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -645300?\nAnswer: 645261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzkk when four letters picked without replacement from zzkozzkoo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(84)\/(sqrt(12) + (sqrt(588) + sqrt(588)*-2 - sqrt(12))) + 2)**2 + 3).\nAnswer: -20*sqrt(7)\/7 + 250\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 8*h**2 - 4*h**4 + 4 + 18*h**2 - 6*h**2 + h + h**4 as l + r*h + i*h**4 + d*h**2 + t*h**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 25554 (c) 0.3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.34 - -0.04. Let j = r + 2.74. Let z = -0.06 - j. What is the third biggest value in 5\/3, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r - 10 - 484 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 3, -16, 5, -15 in decreasing order.\nAnswer: 6, 5, 3, 0, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - v - 4*v**3 + 3*v. Let f be r(-1). Suppose 2*j - 3*j + f = 0. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9888888 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 11*w + 90 = 5*n, -5*w = 2*n - 90. Solve -111*i + 115*i + w = -2*j, -i = 3*j + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024449 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9592243 to 2 dps.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 - c**2 + 39*c + 52. Let o be a(-21). Suppose -j = -5*n + o, j = 2*n + 4*j - 10613. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3697688550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348559529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/198, -1\/3, -5, -18?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9880681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43459, -43458, -43453, -43444, -43431?\n\"Answer: 2*w**2 - 5*w - 43456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -63*i**2 - 319*i - 15. Let z be t(-5). Solve -2*b + 12 = 3*v, -49*b + 44*b + 20 = z*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10780100 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14704703*s. Let v(m) = -2*m. Give j(v(q)).\nAnswer: 29409406*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.33 - 9.23. Let w be (-4)\/(-18) + (-4)\/18. Let t be (w + 2\/(-12))\/1. Which is the nearest to q? (a) 0.3 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4911.85 milligrams to kilograms.\nAnswer: 0.00491185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 977 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = 2*h - 4*y, 5*y - 14 = -3*h. Let b = h + -2. Let z(m) = 1958 - 3962 - 4*m + 2*m + 2004. Give z(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -607 times -162?\nAnswer: 98334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*w**2 + 136\/7 - 2\/7*w.\nAnswer: -2*(w - 4)*(4*w + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 828 = 3*d. Suppose 3*v = -2*r + 76, -5*v + d = -3*r + 55. What is the remainder when v is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2479*f**2 - 473*f + 5. Is p(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-1914)\/(-3410))*3\/5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 847055177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/2 + 2687*k\/2 + 25833832 = 0.\nAnswer: -5969, 8656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*r - 167, 197 - 16 = 5*b - 3*r. Let z(j) = j**3 + 6*j**2 + 9*j + 6. What is the remainder when b is divided by z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 + -120.1. Let n = 10.4 - 10. Sort 10, n, c in increasing order.\nAnswer: c, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + 12. Let a(y) = y - 2. Let g be a(6). Suppose t + g*w - u = 0, -6*w + 7*w + 126 = t. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) + (-5)\/(-4). Let o(f) = f + 22. Let b be o(-20). Let s be (-1 + (-402)\/(-414))\/b. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 135295036*u - 2288093345780162.\nAnswer: -2*(u + 33823759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1114880 + -1791214. Let z = 6996334 + l. Round z to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 + -288. What is the third biggest value in 2\/7, 2\/39, 0.5, s?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29574 - -29727. Calculate the remainder when 1667 is divided by f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -368?\nAnswer: 367.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*(1 + 2). Let k be (6\/15)\/(o\/20). Suppose -2*f - 3*g + k = -2*g, -2*g = 3*f - 5. Calculate the highest common divisor of f and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*l + 23565 + 78197 = 3292*l for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o = -12. Let t be (2*(-2)\/(-8))\/((-8)\/48). Let c be -3*1\/t*(5 + o). Solve -i + 1 = c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593059 is divided by 173.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*t**2 - 2*t**3 - 2*t**2 - 22*t**2 - 15 + t**3 - 2*t in the form d*t**3 + b*t + w + v*t**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from {y: 4, q: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 40 = 5*t, -3*t - 32 = 51*r - 56*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - v = 293, 2*v - 284 = 8*h - 10*h. Suppose -53 = -k + l, -33 = -3*k + 2*k + 5*l. What is the highest common factor of h and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y\/(((y*y*y**(-3\/8)*y)\/y)\/y)*(y**(1\/2)\/y)**8*(y**(1\/3))**24*((y**(-3)\/y)\/y)\/(y\/y**(-4)) assuming y is positive.\nAnswer: y**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -451 - -3?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6184 and 0.1?\nAnswer: -618.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 15*p**2 - p + 9. What is r(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 3*z**2 + 13*z**2 + (-2*z + z + 3*z)*(-z - z + 0*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.8. Let m = 41 - 21. Let b be 6\/15 - 38\/m. What is the closest to q in b, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4636\/8 - 6\/(-4). Let w = j - 259. Suppose -w = -3*r + r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782176901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + 4*s)*(9*s**2 - 74*s**2 - 2 + 3*s**2).\nAnswer: -62*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1796932297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300 and 206050?\nAnswer: 412100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**3 + 2*b. Let t(y) be the second derivative of y**5\/20 - y**4\/12 + y**3\/6 + 3*y - 1. Give -l(z) + 2*t(z).\nAnswer: 7*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + o + 3)*(-461*o - 93*o - 407*o).\nAnswer: -961*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36\/(-66) + (-18117336)\/(-737)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 662 and 580574?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*(-63)\/(-180).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.08972 litres to millilitres.\nAnswer: 35089.72","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (1*sqrt(2268) + -2)**2)*4.\nAnswer: -288*sqrt(7) + 9092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 45 + 45. Put m, 2, 1, -5, 12 in descending order.\nAnswer: 12, 2, 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302.5 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/100520 and 43\/120?\nAnswer: 301560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009500295 to seven decimal places.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.873 and -7.099.\nAnswer: -0.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b**2 - 1882 + 1882.\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.156 + -0.244. What is the nearest to u in 2\/11, -2\/3, -1\/5, -2\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 11*b**2 + 8*b - 12. What is w(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (246\/820)\/((-2)\/1*672\/70)?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10 and 55\/2431894?\nAnswer: 12159470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -619559957 plus 2.1?\nAnswer: -619559954.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23500124, -23500125, -23500126?\n\"Answer: -w - 23500123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131749905 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 12:32 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.203+5\nAnswer: 5.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331331 - -221221?\nAnswer: -3110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54, 61, 68, 75?\n\"Answer: 7*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.026 (b) 3\/4 (c) 0.3 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 95, 97, 101, 107, 115, 125?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197422515 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 20*f + 27. Let p = 16 + f. What is the highest common factor of p and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.115*1102.6.\nAnswer: -126.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 5, -0.04, 0 in descending order.\nAnswer: 5, 0.5, 0, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 5. Let n(i) = 4*i - 2. Let s be n(2). Let b be c(s). Let w be (-4)\/14 + (-104)\/(-266). Which is bigger: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.145\nAnswer: -0.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 g when four letters picked without replacement from {v: 2, j: 3, y: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9298 + -3590. What are the prime factors of c?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27785.3254 plus -0.01?\nAnswer: 27785.3154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38164*n**4 - 14*n + 3671865.\nAnswer: -152656*n**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 666 times 1.61\nAnswer: 1072.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9647 and 15128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106603\/71595 + 64\/43. Let g be 8\/(-4) - (-73226)\/56610. Let d = g - n. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14129, -14130, -14131, -14132, -14133?\n\"Answer: -t - 14128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -529*f**4\/6 + 1255*f**3\/3 - 506*f**2. What is the derivative of y(a) wrt a?\nAnswer: -2116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-1)\/o)*o))**(-32)\/(o**(-4\/9))**5 assuming o is positive.\nAnswer: o**(884\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 + 7*q**2 - 10*q**2 + q**4 + q**2 as f*q**3 + x*q**2 + h*q**4 + g*q + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 12. Let r be l(-11). What is the closest to r in 0.03, -2, -2\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 22. Calculate z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 51237908179?\nAnswer: 51237908175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = a - 41, -11869*a + 11874*a + 55 = 5*l. Suppose -38\/15*t**2 - a*t + 8\/15 = 0. Calculate t.\nAnswer: -1, 4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -45?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1773*z + 92. Let j = 789 - 785. Let t be k(j). Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 27.7304618546?\nAnswer: -30.7304618546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 18 = -2*z, 0 = -0*z - z + 4*k + 3. Let a = 15 - z. Solve -3*x - 3*d - 29 = 2*d, -4*x + 4*d = -a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2060 + 0*f**3 + 3292 - 2652 + f**3 + 4523.\nAnswer: f**3 + 7223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2734967 - 3323894 = -37*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 80. Let x be s(40). Calculate the remainder when x\/(-5 - -2) - -119 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 35. Let p be z(-15). Suppose h = -h + 5*q - 2, -4*h + p = -4*q. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**22\/f))\/f*f\/f**(-10\/9))\/((f**(1\/6)\/f)\/((f\/(f*f**5))\/f)) assuming f is positive.\nAnswer: f**(-433\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.9 - 55. What is the third smallest value in 3\/2, -1, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 4*x + 267 = -3*h, 4*h - 3*x = 226. What is the smallest common multiple of 1 and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r - 132 = -81 - 1475 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43852020 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnccnccnnnnnnncnnc. What is prob of sequence nc?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + 205587\nAnswer: 205586.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7475 + -0.2525. Which is the nearest to -0.2? (a) m (b) 5 (c) -0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**3 + 64*f**2 + 36*f - 360 = 0?\nAnswer: -15, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 3 - 3 + (2*o**3 + 3*o**2 - 3*o**2)*(-2 - 4 + 4) + 3*o**2 + 3*o**3 - 3*o**2 to the form g + h*o**2 + p*o + t*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 30*q - 2*t, 2*t - 1049 = -5*q - 1034 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**5\/4 + 11*f**2\/2 - 21. Let q(n) be the second derivative of o(n). Let u(y) = -y. What is q(u(t))?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b**3 - 6*b**2 + 3*b - 13. Let p(y) = 4*y**3 - 2*y**2 + y - 4. Let n(t) = -2*k(t) + 7*p(t). What is n(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -74.8. What is the closest to 0.06 in -4\/7, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3948 - -3953. Sort -365, -0.4, p.\nAnswer: -365, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -62 (b) -1\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/61, 0.3, -201, -6\/5 in ascending order.\nAnswer: -201, -6\/5, -1\/61, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3762\/805 - 54\/115. What is the common denominator of u and -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 2. Let r(g) be the third derivative of 11*g**4\/24 - 2*g**3\/3 - 8*g**2. Let w(m) = -11*q(m) + 6*r(m). Find the first derivative of w(t) wrt t.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111011010100111010100 (base 2) to base 7.\nAnswer: -46230562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/360 + 41*z**4\/24 + 12*z**2. Let n(v) be the second derivative of g(v). Let t(y) = 27*y. What is n(t(j))?\nAnswer: 54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8700*t - 301*t - 3644*t.\nAnswer: -12645*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/20*54\/189*14?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 smaller than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let h be (-2)\/2 - (16 + 1). Let y be (3\/2)\/(h\/(-120)). Solve t*j = 4*j + y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a - 48. Let z be (-3)\/a*6*2. Let d(l) = -l + 2. Determine d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26364970 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n - 2974 = 0. Let s = n + -834. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27465 or 8110?\nAnswer: 8110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 46*o + 81. Calculate h(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/33 - 9*(-14)\/42.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let y(q) = 14*q - 7. Let x(o) = 14*r(o) - 2*y(o). Let t(f) = -2*f**2. Calculate t(x(k)).\nAnswer: -392*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqeqqqeq. Give prob of picking 2 q and 1 e.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y + 162. Let o = 98 + y. What is the units digit of (-64)\/(-11) + 8\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -31.15?\nAnswer: -31.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 6*h + 7. Suppose -2 = -4*q - 26. Let p be t(q). Suppose x = p*x - 12. Solve 13 = l + 2*z, 5 = 5*l - 4*z + x*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 414.1 + -414. Which is the closest to z? (a) -7 (b) 4 (c) -1\/7 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 + (4 - 11) + 21 + -43)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2539 + 2611. What is the remainder when 3398 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 72, 181, 338?\n\"Answer: 24*a**2 - 11*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3858 + -2641. Suppose -5*m - 2467 = -2*a, a + 3*m - h = -0*m. Suppose 8*b = 10*b - a. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*r + 3248, -r + 5*v + 1318 = 485. List the prime factors of r.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.0731511, -2\/3 in decreasing order.\nAnswer: 4\/3, 0.0731511, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 262433*w**2 - 17217638655*w - 17217901089.\nAnswer: -(w - 131217)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 38 + 34 = -5*a, -13*q - 4*a = -17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 8*z = -80. Let t be 4\/(-10)*(z - -15). Solve 5*w + 0 - t = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1494898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 999051505 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5784, 24412, 55450, 98892, 154732?\n\"Answer: -f**3 + 6211*f**2 + 2*f - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -53\/6 (c) -0.2 (d) 6 (e) 4 (f) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 - -4*123410\/56. Calculate the highest common divisor of 852 and q.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = a - 2843, -6 = 136*b - 139*b. What is the remainder when a is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 998648613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2345576 to 3 decimal places.\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (186\/15)\/((36\/(-465))\/(-6)). Suppose 4*u - 20 = 0, 7*u = -4*p + 2*u + f. Let m be p - (13 + -7)\/(2\/1). What is the greatest common factor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/12513 - -437999\/275286. Let c be 1*(0 - (-8)\/25522). Let o = c + 1492957\/255220. Find the common denominator of r and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3278972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/97489 or -2?\nAnswer: -10\/97489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*z + 237, 4*z + 59 = -m + z. Let u = m + 39. What is the tens digit of (-121)\/(-7) - (-1 + (-45)\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-80)*(-12)\/3)\/((-2)\/32). Solve -6*r = -t + 10, t = 2*r + r + x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -308 - 1a078?\nAnswer: -1a384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n - 5. Let j be 19 - (12 + -10 - -11). Let w(o) = 27*o + 9. Calculate j*w(u) + 11*a(u).\nAnswer: 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7 + 316*o**2 - 6*o + 1 - 5 - 337*o**2. Let b be p(-6). Round b to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/3 + 4. Suppose 0*i + 5*i + 10 = 0. Is i smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 10. Let n be u(8). Let g be n\/6 - (-8)\/6. Suppose -4 = -f - g. Put f, -4, 2 in decreasing order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhdhhd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9776595 is divided by 2544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -73*m**5\/20 + m**4\/6 - 53*m**2 - 19*m + 1. What is the first derivative of n(x) wrt x?\nAnswer: -219*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 133*x**3 - 2*x**2 - 2*x + 2. Let g = -260 - -262. Let h(f) = f**2 - f + 1. Let r(c) = g*h(c) + n(c). What is the second derivative of r(j) wrt j?\nAnswer: 798*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -31*j**2 + 4*j. Let x(d) = d - 1. Let m be x(6). Suppose -3*r + 507 - 531 = u, 0 = -5*r + 2*u - 29. Let h(l) = -21*l**2 + 3*l. Give m*q(n) + r*h(n).\nAnswer: -8*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 124923341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -7. Suppose y = -4*y - m. What is the tens digit of ((-14)\/4)\/(y\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386.13 rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -118. Suppose -3*j = -8*j - h. Let s = -22 - j. Solve s*d + 14 = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 - 2*i - 2. Let v be n(2). Let f = v - -6. Suppose f*u - 3*u + 12 = 0. Solve -3*a - 6 - 12 = -2*x, -3*a = u*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/330 - 5*w**4\/132 + 2*w**3\/11 + 797*w**2. Factor d(m).\nAnswer: -2*(m - 1)*(m + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*r - 37175 - 26083 + 11793 = -286*r for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44042 (base 5) in base 3?\nAnswer: 11010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 60 = s. What is the remainder when s is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + 16\/(-8)*1\/(-2). Suppose 3*t = 3*v + 231, -t = 5*v - m*v - 74. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 10, -9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 0*n**2 + 2 + 3 - 6*n - n**2. Suppose u + 223 = 5*b, -4*b + b = -4*u - 977. Let g = 242 + u. Determine w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 30786341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {k: 2, b: 1, g: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10583?\nAnswer: 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 6*u**2 - 34*u - 25. What are the prime factors of a(16)?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90970 at most as big as -91283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (74 - 58 - 129)*(o + 0*o**2 - o**2 - 2*o**2) as j*o + s*o**2 + m and give s.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, o: 2, f: 2, a: 2, l: 5}. What is prob of picking 1 c and 2 l?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74757 + 74756.735572. Let g = -0.264 - s. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/5))\/x**3)**11 assuming x is positive.\nAnswer: x**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3 + 6*x + 6. Let i(a) = -3*a**3 + 4*a + 4. Suppose 5*y + 24 = m, y + y + 9 = m. Calculate y*v(j) + 8*i(j).\nAnswer: j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -201, -2, 334 in increasing order.\nAnswer: -201, -2, 64, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 633\nAnswer: 189.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -120228, -120209, -120190, -120171, -120152?\n\"Answer: 19*o - 120247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 + 0.3. Let b = -5303\/29348 + -3\/2668. What is the second smallest value in b, h, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3180*d**2 + 205 - 1593*d**2 - 1588*d**2.\nAnswer: -d**2 + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let y = g - -0.97. Let v = y - -0.13. Sort v, -3, -0.2.\nAnswer: -3, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkkakatkak. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/5181 and -18\/3371 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/360 + k**5\/20 + 5*k**4\/24 - k**3 + 2. Let h(j) be the third derivative of a(j). Determine h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132588, -530364, -1193352, -2121576, -3315060, -4773828?\nAnswer: -6497904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2811456950.\nAnswer: 2, 5, 113, 497603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 26*t**2 - 1 + 17*t**3 + 1 + 3*t**3 + t in the form g*t**3 + y*t**2 + w*t + u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -32. What is the closest to -0.2 in 0.4, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027016 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 8*z**2 + 9*z - 15. Let v be s(9). Let u = -155 + 142. Let l(d) = -d**3 - 11*d**2 + 29*d + 24. Let n be l(u). Is v at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 473 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-2 - sqrt(700)) + (sqrt(175)*-4)**2.\nAnswer: -30*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 53*h**2 - 1250*h - 34799. Determine f(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/3, 4, 0.6 in decreasing order.\nAnswer: 4, 0.6, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2\/21, -1.3, 3 in ascending order.\nAnswer: -1.3, -2\/21, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 3*p - 3*g, 3*p + 2*g - 19 = 0. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*z - 24. Let 1\/2*g**2 + 1\/2*g**5 - 1\/2*g**z + 0*g + 0 - 1\/2*g**3 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7310 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 369\/(-2)*((-4400)\/(-900))\/22?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*a + 8, 3*g + a - 27 = 4*a. Suppose 3*i + h - 25 = 0, 0 = i - 2*h + 5*h - 19. Suppose -669 = g*p - i*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 7*k**3 - 11*k - 25. Differentiate c(p) wrt p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6) - 1)\/(77\/(-28)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3 - 591*g**2 + 13596*g + 29524 = 0. Calculate g.\nAnswer: -671\/4, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {q: 3, w: 3, i: 5, s: 2}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 711*l**2 + l - 173. Is u(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimmmmmmmmmmmmmmmmm. Give prob of sequence mmmi.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 10:23 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2347\/357 + (-572)\/(-2431))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590311 is divided by 156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/(-165))\/((-12)\/(-10)). What is the nearest to 0 in -0.06, -5, f?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = -25. Let w(u) = -u**2 - 15*u + 19. Let q be w(z). Find the second derivative of 0*g**q - 2*g**4 + 5*g**4 - 2*g + 0*g**3 wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*b*j**2 + 5*b*j - 3*b - 413*j**2 - 16*j + 15 wrt j.\nAnswer: -22*b - 826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 1, i: 2, g: 1, o: 1, t: 1}. What is prob of sequence tj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -452, -0.1, 170, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from bbbybyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -49, 68, 241, 470?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u + 17*u - 11*u**2 + 4*u + u + 0*u**2.\nAnswer: -11*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 + (-6 - -24683 - 9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4 = -5*n. What is the first derivative of 19 - 12*q**2 + 4*q**n + q**2 - q**2 wrt q?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/1586 and -39\/4?\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -528 - -536. Let t be k\/14 + -16*(-9)\/42. Solve -n = -t*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -1\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 660, -11, 0.1, -43\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.0859 + 26.1. Let d = f - -2.1559. Round d to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52414870911 take away -16?\nAnswer: 52414870927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -19. What is the greatest common divisor of 64 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 8*a**2 + 13. Suppose 2*w = -b + 14, 6*b - 8*b + 23 = 3*w. Let j be i(b). Suppose -2*v + 3*q = -4*v + j, v + 2*q = 6. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let y(i) = 173*i**2 + 166519. Give b(y(r)).\nAnswer: -173*r**2 - 166519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -260*b**5 + 122*b**4 + 4*b**3.\nAnswer: -2*b**3*(2*b - 1)*(65*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98170 is divided by 245.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*x**2 - 83*x**3 + 62*x**2 - 3 + 2 - 1 to w*x + r*x**2 + q*x**3 + m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156.3 + -156. What is the third smallest value in 0, q, 0.5, -13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 2 + 8*c**3 + 0*c**3 - 9*c**3 as i*c + v*c**3 + u*c**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2991*k**2 + 26*k + 41. Let m(g) = g**2 - g + 1. Let x(t) = b(t) + 4*m(t). Is x(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdqvqz. Give prob of picking 1 d, 1 v, and 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 10 (c) -24\/5 (d) -8.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 9. Let b = -621 - -625. What is the fourth smallest value in -3\/7, a, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1284 + -0.6514. Let j = y + 0.223. Let p = 32\/185 + 1\/37. What is the biggest value in -0.2, p, j, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + s = -1, 4*x + 4*s - s = 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2620*w**2. Let u(b) = -8*b. Calculate u(s(z)).\nAnswer: 20960*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((1 - 2)*1). Suppose -5*b = -0*b + 2*y - 5, -2*b + y = -11. What are the prime factors of b + d + 20 + 2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7)*r)\/(r*r**(-3)))**(5\/6)*((r**3*r*r)\/((r*r*r**(-1\/3)\/r)\/r))**(1\/9) assuming r is positive.\nAnswer: r**(1079\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.66479975 + -40.5048. Let p = -0.09 - -0.25. Let w = p - k. What is w rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3*h**2 - h + 4. Let q be x(3). Let n(y) = 4*y**2 - q + 2*y - 2*y - 3*y**2. Let k = -3 - -1. Determine n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2074?\nAnswer: 1\/2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07033 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 177336.3 rounded to the nearest 1000?\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 576.3308 and -106.\nAnswer: -61091.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1333*b**6 - 397*b**2 + 3*b?\nAnswer: -159960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.9977 litres to millilitres.\nAnswer: 73997.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 17*a + 4*h = -40, -a + 3*h + 6 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/15)\/(6\/20). Let b(w) = v*w + w - 3*w + w. Let j(y) = 3*y. Calculate j(b(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(108) - ((-4*sqrt(108) - sqrt(108)) + sqrt(108))).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*i. Suppose -6*k + 5*k = -2. Suppose 6 = -k*c - c. Which is greater: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/21 - 9\/7. Let l be (-2 + 8\/3)\/((-4)\/(-6)). Let q(m) = m**2 - 1. Let s(h) = 3*h**2 - h. Give l*q(p) + t*s(p).\nAnswer: -2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*t = -0*r - 264, -3*t + 319 = 5*r. Let q = r + -69. Let n = 277\/4 + -70. What is the fourth biggest value in 24\/13, q, n, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16873*d**2*u**2 - d + 2563*u**2 wrt d.\nAnswer: -33746*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g - 6*g - 4*g - g. Let t(j) = -j**2. Give z(t(s)).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6568440 (b) -0.03 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7*a = -4*l + 10, 5*l = 2*a + 15. Solve 4*d - 18 = -2*t, 0 = -6*t + 2*t + a*d + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13738963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 17*o + 4. What are the prime factors of u(6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393329?\nAnswer: 17, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 176069.\nAnswer: 1\/176069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150.344 + 155. Let y = 5 - r. Round y to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -672, -990, -1362, -1782, -2244, -2742, -3270, -3822?\nAnswer: -4392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - -50 - (1 + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 46920 = -34*l. Let o = l - 580. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/(-351))\/((-1)\/((-18)\/(-1))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + g - 15 - 2 = 0, -4*g - 24 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j**3 + 4*j**3 + 3*j**3)*(1 - 1 - 2)*(-2 + 0 + 0) in the form m + z*j**2 + c*j + w*j**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 3, y: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:54 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*v + t, 2*t - 5 = -2*v + 3. Let j(l) = -l + v + 4*l - l**3 + 6*l**2 - 3*l. What is j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 4*b - 4. Let n = -2 - -1. Let m(d) = d + 3. Let l be m(n). Let g(j) = -j**2 + 2*j + 2. Give l*v(o) + 5*g(o).\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 2*g**2 - 4*g - 1. Let i be (2\/(-8))\/(6\/(-72)). Is f(i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.21 + 0.31. Let h be 9\/(-36)*(-12)\/(-5). Which is the closest to j? (a) -0.4 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 4*q**2 + 46*q + 13. Let k be z(-9). Which is the closest to 0.2? (a) -3 (b) -28 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-20 - (-11 + -22)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (2 + sqrt(343) + 0)*-4 - 4*(5 + -1 + sqrt(343) - -6*(0 + sqrt(343))))*-1*6)**2.\nAnswer: 322560*sqrt(7) + 12658752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91758 not equal to 1559894\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11994*d**4 - 3325*d + 28*d**2 - 28*d**2 + 287*d wrt d.\nAnswer: 143928*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8365692 divided by -2788564?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-5250)\/105)\/(-47000)\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:52 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 990?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j**2 + 303*j + 3123. What is f(-10)?\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 293703 and 54?\nAnswer: 5286654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c + 3*x, -7*x + 3*x - 23 = -3*c. Let o(s) = -2*s - 1. Let v be o(-6). Let h = v - c. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2623910*r**3 + 31 - 2623912*r**3 - 31.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) -22 (c) -0.3 (d) 0 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from wwwwoowwwowwwwwwow.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let w be (2\/(-6))\/((-1)\/9). Differentiate a + o + a - w*a wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.2. Suppose b = -0*k + 2*k + 168, -2*k = -4*b + 168. Let n be 2\/(-8) - 77\/k. What is the third smallest value in 2, y, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75031.79g in tonnes?\nAnswer: 0.07503179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 - 7*f + 22. Is b(6) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16040 * 9.\nAnswer: 144360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 0.6, 0.3, -2\/7, -237\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.091 + -89.909. Let k = j - -76. Let y = -2.5 - 0.5. Which is the third smallest value? (a) k (b) 2 (c) -4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121038525 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 5*i**2 + i**2 - 16*i + 3*i**2 + 2*i**2.\nAnswer: i**2 - 16*i - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l. Let f be 7*(2\/7 - l). Let c(z) = -z - 3. Let v be c(-7). Solve -f*t = 2 - v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117987 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 314034 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let l be k\/((-6)\/(-3) + -3). Is (1 - l) + (-46)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h = 354 + 346. Let j = 233 + -122. What is the remainder when j is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138346 divided by 34.\nAnswer: 4069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566661712?\nAnswer: 2, 101, 350657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. Let z = 87.6305 - 0.0305. Let r = -88 + z. Which is the closest to -1\/4? (a) h (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 3. Let k(v) = 3*v - o*v + v. Let h(l) = -2*l**2 + l**2 + 2*l**2. What is k(h(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7154 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Let d = -2.3 + 2.1. Sort -0.3, d, x.\nAnswer: -0.3, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000201583817 to seven dps.\nAnswer: 0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/4 + c**3\/3 - c**2\/2 - c + 33. Let w(b) = 4*b**3 - 4*b**2 + 2*b + 3. Determine -2*w(r) - 6*x(r).\nAnswer: -2*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 415*p + 825. Calculate o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*h = -17, 0 = 2*b + 4*h - 7*h - 5. Calculate the least common multiple of 15 and b + 4 + 4*5\/4.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -30. Suppose 8*h = k*h + 160. What is the greatest common factor of h and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + -9.1. Let l = -9 - y. Let j = -3 + l. Sort -2\/5, j, 1\/2.\nAnswer: j, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/(39\/(-21) + 2) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3008 (base 9) to base 2.\nAnswer: 100010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - y**3 + 227*y - 3*y**2 + 2*y**2 - 2*y**3 - 47.\nAnswer: -3*y**3 - y**2 + 227*y - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 147172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 463 = -3*h - 178, -3*u + h = 167. Let w = u + 87. Suppose -2*y = -t - 44, -t + 88 = 4*y - 0*t. What is the highest common divisor of y and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 9. Let j(s) = -3*s + 1. Let o be j(-4). Let g(t) = -t + 5. Let x(w) = o*g(w) + 6*c(w). Let y be (-19)\/(-4) + (-3)\/(-12). Give x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 65*s**2 - 35*s**2 - 35*s**2 + 0*s. Let x(q) = 5*q**2. Determine g(x(z)).\nAnswer: -125*z**4 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from lllknkkanknnr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 166?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + 24. Let j = -24 + c. Calculate the greatest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 55. Let y be b(-13). Solve -5*n = -0*n - 3*l - 22, 2*n - 13 = -y*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m**3 + 5*m**2 + 5*m. Suppose -23*y + 70 = -9*y. Let x(r) = 351*r**3 - 12*r - 12*r**2 - 729*r**3 + 326*r**3. Give y*x(n) + 12*v(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. Let j(d) = 4*d + 2. Let p(n) = -n. Determine a*p(y) + j(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50398, -95849, -141302, -186757?\n\"Answer: -h**2 - 45448*h - 4949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 310*a - 312*a + 132. Calculate the remainder when 1050 is divided by a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98616 by 6.\nAnswer: 16436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j + 17 = 0. Let z = 20 + j. Let g(v) = v**2 - 5*v + 5. Let d be g(4). Put z, d, 5 in descending order.\nAnswer: 5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*h - 21, 4*h = o - 1 + 14. Suppose -4*k + h = -14. Let p be 0 - k*(-6)\/(-8). Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f + 4376 = -100*f + 20*f - 3306 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900228 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxl. Give prob of sequence xx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69972, 69969, 69966, 69963, 69960?\n\"Answer: -3*d + 69975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106059708?\nAnswer: 2, 3, 311, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -2535334365?\nAnswer: -2535334365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*p - 5*h - 3, -5 = 5*p + 3*h. Suppose 3*d + 348 = 3*b, d = -2*b + p*d + 231. Let g = b - 28. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 53. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, p: 1, i: 10, c: 4, k: 1}. What is prob of picking 1 q, 1 k, and 1 p?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 79 = -2*l - 2, -155 = 4*l + 3*f. Which is bigger: -38 or l?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101745 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -960, -1381, -1, -5 in ascending order.\nAnswer: -1381, -960, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24853, -2\/3, 0.\nAnswer: -24853, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c - 129. Give a(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, -126, 2, 3 in ascending order.\nAnswer: -126, 0, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 + 167*d - 67. Calculate o(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -5\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 150000*m. Let l be k(20). Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 5*r, 0*r = -3*n + r - 10. Let i be -5 + (-34)\/(-8) + 1. Which is the nearest to i? (a) -0.3 (b) 44 (c) -0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(1800)*2) + (((sqrt(200) + (sqrt(200) - (0 + sqrt(200) + sqrt(200))))*2)**2 - (sqrt(250) - 2*sqrt(250))\/sqrt(5)).\nAnswer: 8 + 125*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or -526\/5?\nAnswer: -526\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/32? (a) 0.1 (b) 2\/15 (c) 10936\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = 2*p + 2*i, 4*p + 13*i + 718 = 11*i. Let q be p\/(-10) - 23\/(-115). Calculate the greatest common factor of 1422 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 116*q**2 + 8122*q + 100. Determine p(-70).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z + 9. Let r(g) = 12*g - 13. Let p be r(-4). Let i = 48 + p. What is the tens digit of h(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + (-2 - 2) - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 16*n + 11. Let v be u(15). Let l = 31 - v. Calculate the greatest common divisor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4946 - -3006. Is v a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 3, d: 1, b: 1, f: 2}. What is prob of sequence jd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26331 - -0.48928. Let z = 0.225 - m. What is z rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**16\/l*l)\/l)\/l*l**(-21))**(-4) assuming l is positive.\nAnswer: l**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1968634 and -77\/153553452?\nAnswer: 153553452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 3. Let s(i) = -i + 4. Let j(m) = 4*b(m) + 5*s(m). Let u = 78 + -110. Let a = u - -38. What is j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 14 = j. Solve -w + j = -2*g, -4*g - 30 - 6 = -4*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 73 - 7 = 5*n, 3*n + 3*o = 54. Let u = n - 11. Suppose 23 = u*l - 4. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22205550 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*l**2 + 9*l**2 - 415 + 2*l**3 + 2*l + 415 to the form o*l**3 + u*l + q*l**2 + c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019982132 to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11602 + -1543076\/133. Which is smaller: l or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woaawwow. What is prob of picking 2 a and 2 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - z - 45992 = 0, -3*d + 2233*z = 2237*z - 45982. List the prime factors of d.\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 115511.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (533\/65 - -1) + (-2)\/10. Let z(s) = -2*s - 16. Determine z(y).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 3*d**2 + 12*d - 4. Let t(j) = j**2 - 1. Let s(l) = -h(l) + 6*t(l). Let f be s(10). What are the prime factors of 2*f\/(-8) - 1\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 9:12 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/17 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*z. Suppose z = 4*d - 4 - 4. Find the third derivative of -2*b**2 + 3*b**2 - b**4 - d*b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Find the second derivative of -4*k**x + 0*k + 5*k**2 + 5*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*b + 69134 = -2518*b - 7888 - 33240 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 + a**2 - 2*a + 1. Let k be w(1). Suppose -k*j - j + 101 = 4*t, 0 = -2*t - 2. Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - 34 = 3*d, -5*g + 5*d = -45. Suppose 0 = g*a - 438 + 74. What is the lowest common multiple of (4\/3)\/(6\/54) and a?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (2 - 1))\/2. Suppose -2*m - 2*l + 32 = 0, m = -0*m - 5*l + 16. Suppose 4*n + d*n = m. Calculate the highest common factor of n and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 10*d + 6*d)*(-6 + 3 + 4)*(-2*d**3 + 3*d**2 - 3*d**2).\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1364\/9593 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2 - 5*f + 4 + 6. Let t = 72 - 69. Let x(v) = -v - 6. Let u(d) = d + 3. Let h(j) = t*x(j) + 5*u(j). What is -11*h(s) - 4*n(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) + 2*sqrt(133))) + sqrt(133) - sqrt(133))*-2 + sqrt(133) + 6*(sqrt(133) - -1*sqrt(133)))\/(3*(sqrt(7) + sqrt(28)*1)).\nAnswer: 17*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((-1)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -48\/86327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -52943, -5, 4 in decreasing order.\nAnswer: 4, -5, -9, -52943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(4*k - 2*k + 2*k + (0*k + 0*k + 3*k)*(3 - 2 - 7)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 8:17 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6503836.\nAnswer: 2, 43, 37813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + w)*(-498 + 125 + 143 - 539 - 148).\nAnswer: 917*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -6 (b) 3\/4 (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*j + 39 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-28)*322\/69. Solve g = 1, -g = -f*c - 2*g + 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 + 3 + -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2\/11 (c) 25 (d) -33 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1424?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)\/((-26)\/247). Factor i*r**3 - 400 - 23*r**3 + 76*r**2 + 0*r**3 - 320*r.\nAnswer: -4*(r - 10)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u - 3. Let v = -502 + 515. What is the remainder when m(-6) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.901941 or 0?\nAnswer: 0.901941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319 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: Sort -2, 2, 296, 42, 3 in increasing order.\nAnswer: -2, 2, 3, 42, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4471632 and 29\/81234648.\nAnswer: 487407888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (-1*sqrt(88) - sqrt(88))*-6)\/sqrt(8)*-5.\nAnswer: 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let f(y) = -y. Suppose 2*s = 6*s - 4*b - 8, -5*s - b = 2. Let v = s - 1. Let h = -49 + 51. What is h*r(i) + v*f(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + ((-5 + (sqrt(117) - 2*sqrt(117)*-1) + (2*sqrt(117) + 0 - sqrt(117)))*-6)**2.\nAnswer: -4320*sqrt(13) + 68286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/13)\/(r**12\/r*r) assuming r is positive.\nAnswer: r**(-160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2 + 2)*(-54*l + 20 - 20) to y*l**2 + o*l + u and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 9*c + 100 = 4 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359312962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2930 and 40874?\nAnswer: 59880410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g**2 - 1153*g + 89. Let z be n(96). Let p(k) = 6*k + 17. Give p(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 5. Let x be n(4). Solve x*c + 0*a - 1 = a, 0 = 3*c + a - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 + 50*z**4 + 9275*z**3 + 9270*z**3 - 18545*z**3 - 567*z wrt z.\nAnswer: 1200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 7) to base 9\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 15. Let d be (k\/(-4))\/(1\/(-4)). Put 2, d, -5, -13 in decreasing order.\nAnswer: d, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102734839 to the power of 1\/2, to the nearest integer?\nAnswer: 10136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05239 + 0.02761. Which is smaller: q or 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 15) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 26. Calculate c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28047*c*j**4 + 33788*c*j wrt j.\nAnswer: 336564*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsl when three letters picked without replacement from {l: 1, t: 4, w: 1, o: 3, s: 8}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 + 158*r - 3*r**3 - 332*r + 176*r + 5 - r**2. Let i(x) = 2*x**3 + 5*x**2 - 2*x - 4. Calculate -6*i(t) - 5*o(t).\nAnswer: 3*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 798 divide 3697932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/5 + 224*x\/5 + 52328 = 0 for x.\nAnswer: -310, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/((76 + 284)\/72)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055895 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: Round -839.1 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 6*f - 28. List the prime factors of p(8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16894 divided by 12\nAnswer: 8447\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 a when four letters picked without replacement from nannnnancnacayaynnan.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 62*u**2 + 11*u. Let r(y) = -21*y**2 - 4*y. Give -11*r(c) - 4*v(c).\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 - (1 + (-14 - -24)). Is -3169\/5 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201250 (base 8) in base 6?\nAnswer: -1230320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -3*sqrt(117) + sqrt(117))*5*-4*1)**2 - (((sqrt(117) - 1*sqrt(117)) + 3 + sqrt(117))**2 + sqrt(117) + (sqrt(117)*-4 + -3)**2).\nAnswer: -93*sqrt(13) + 44793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let p be (-3)\/(-2) + 9\/(-6). Let z(n) be the second derivative of 0*n**2 + 1\/6*n**3 - 2*n + p. What is z(r(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15412804 - -2?\nAnswer: -15412802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 3*t + 0*t + 1 + (3 - 6 + 5)*(-t - 4*t + 3*t) + 2*t - 5*t + 4*t - 3*t - 2*t + 3*t.\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4710.885 meters to centimeters.\nAnswer: 471088.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and 39\/47?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 3, 169, -2\/23, -3\/4, 1\/2, -0.01?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14587*m - 756. Is k(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6671 to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720) + sqrt(720)*4)*2)\/(3*((3*sqrt(640) - sqrt(640)) + sqrt(640))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 68 - -27) + (0 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + r + 4480 = 4493, -3*j + 2*r + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + f + 3*n + 3 = 0, -n + 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8*z + 52 = 0, -l + 19 = -2*z - 3. Solve -4*v = -l*v - 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*-5*(sqrt(1900) + 1)*1)**2.\nAnswer: 8000*sqrt(19) + 760400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-1 + -2 + 0). Suppose 2*q - 5 = 5*s - z*q, -2*s + 13 = 3*q. Suppose 5*c + 20 = 5*v, 15*c - 17*c - 23 = -5*v. Solve -v*b + s = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:49 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3*b**2 + 6*b + 5. Let w be y(-5). Let v = -164 + w. What is the remainder when 139 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-2 - -3))\/((-1)\/25882*-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 372 = -8*i. What is the remainder when i is divided by 2\/5 - 68\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 27078?\nAnswer: -27081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 404. Let p = -201 - q. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531382?\nAnswer: 2, 47, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(700))**2 + (sqrt(112)*6 - (sqrt(63) + -3))**2 + 0.\nAnswer: 126*sqrt(7) + 3796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4047 divided by 1349\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(398\/(-132) + (-3 - -6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 224, 252, 280?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212367 < 212366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1822 less than -63?\nAnswer: -63.1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.44 - 2.24. Let j = -1.8 - -2. Let n = 0.1 + j. Which is the nearest to o? (a) n (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1023*g + 66 + g**2 + 119 - 44 - 1056*g. Let x be k(29). Which is smaller: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from bbsbnebbepeb.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-25))\/((-24)\/(-45))*22\/1056.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -44. Suppose 3*v - 35 = -3*x + 16, -2*v + h = 3*x. Solve -3*k - v = -0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 15*i**2 + 8. Let t be w(0). Let g be t\/(-45) - (-6)\/15. Factor -4\/9*d**2 + 4\/9 + g*d**3 - 2\/9*d.\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h + 24 = 0. Does 5 divide 3\/h*-4 - -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 - -349. Let n = g + -505.92. Let r = -3.53 + n. What is r rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -b + 5*j - 21, 3*j - 8 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(7\/4)*((i*i*(i\/i**(-2\/3))\/i*i)\/i)**(-2\/31) assuming i is positive.\nAnswer: i**(-683\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*b**4 + 58*b**4 + 16 - 40*b**4 wrt b.\nAnswer: -88*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-49))\/(-3)*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnyum. Give prob of sequence nuy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2, 2\/3, -6\/19 in descending order.\nAnswer: 2\/3, 1\/6, -6\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.86 rounded to the nearest integer?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 52. Let v(n) = i - 43 - n**3 + 3*n**2 - 2*n**2. Give v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -7\/2*d**2 - 4*d + 3 - 1\/3*d**3. Determine x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -3\/2140865, -5, 0.4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**2\/5 + 3043656*w\/5 + 578990115396\/5 = 0.\nAnswer: -380457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21*g**2 + g + 0*g - 3*g + g + 22 - g**3. Let k be d(21). Sort 3, k, 5 in ascending order.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w - 7. Let g(o) = 4*o**2 - 21*o**2 + 11*o**2 + 8*o**2 - 6 + o**3. Let x be g(-2). Let p(r) = 8*r + 6. Determine x*a(j) - 7*p(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 7. Let t(d) = d**3 + d + 3. Let j be t(i). Factor -g**4 + 4*g**3 + 5*g**4 + j*g**5 - 2*g**5.\nAnswer: g**3*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = 10. Let f be (4 + 20)\/(k\/(-2)). Let p(s) = s - 23. Let t be p(23). Solve -f = -4*g - t*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/15 + 208*h\/15 = 0.\nAnswer: 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -9 - (167 - 225)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -8*m - 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaqaraaqaqlqgrqa. Give prob of sequence lr.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 = 2*s, 0 = 3*s + s - 2*w - 14. Let o = 11 + -3. Calculate the smallest common multiple of o and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 95. Let m(p) = -3*p**2 + 2*p**2 + 12*p - p**2 - k + p**2. Let t be m(8). What is the highest common divisor of 156 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = g + 2*g, 5*g = -4*q + 4. Let i be g - 2 - (0 + -3). Solve p = 4*p - i*v - 22, 0 = 3*p - 3*v - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 970639 (b) 0.11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let u = -1 - -7. Let o be l(u). Suppose -2*g = -o, -h - 51 = -3*h + 5*g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 268571248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -20*f + 4 + 38*f - 63 - 33*f. Determine q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 115 = -4*g, -3*w + 4*g + 69 = 8*g. Suppose 3*z = 10 + 5, -z = 2*x - w. Which is bigger: x or 42\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218032240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = -2*l - 2, 3*y - 4 = 4*l. Suppose 4*o - 3 - 17 = y. Let x(g) = 3*g. What is the units digit of x(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, 64, -2, -0.4, -4\/5 in ascending order.\nAnswer: -2, -4\/5, -0.4, 2, 11, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 41*g - 148. Let t(j) = 10*j - 37. Let q(r) = -9*t(r) + 2*u(r). Let z(o) = 2*o - 9. Calculate 2*q(d) + 9*z(d).\nAnswer: 2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -24365 + n**2 + n + 24364 - n. Let b(h) = 23*h. Determine x(b(s)).\nAnswer: 529*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9034994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 6 = -h, -5*h + 4*m = -3*h - 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -303*a. Let w(q) = 2022*q**2. Give w(g(c)).\nAnswer: 185637798*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a85 - 17b?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4353006924?\nAnswer: 2, 3, 7, 2467691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/10))\/((((g*g*g**18*g)\/g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240 + -158. Let f = -90.5 + r. Let c = 8.98 + f. What is c rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 9*u - 13. Let j be s(-10). Let p = 54 + j. Calculate the remainder when p is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*a**2 + 4 - 4.\nAnswer: -77*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-257)\/(-10)*(-69)\/(-541). Let u = 8184\/25 + -4427244\/13525. Let q = h + u. Calculate the common denominator of -51\/16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-14))\/(19975\/(-83895))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 3*u + 5. Determine o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*2*1\/3. Suppose 2*d = y*d. Suppose -3*p + p + 14 = d. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.74499kg in milligrams?\nAnswer: 15744990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0 + 2 - b - 4*b + 2*b. Suppose -4*h = -h + 18. Is 11 a factor of a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**7\/2520 - 325*r**4\/24 - 4*r**2 - 38. Let q(l) be the second derivative of p(l). Let k(x) = -2*x - 35. What is q(k(u))?\nAnswer: -4*u**2 - 140*u - 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*n - 160 + 178, 0*k + 97 = 2*k - k + 3*k + 117*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 83. Suppose x - j = -3*x. Suppose 11*l - x = 5*l. Solve l = 5*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/225 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 d when three letters picked without replacement from udpucjcjpcjdpjdu.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10221022011221 (base 3) to base 11.\nAnswer: -11aa029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -11.6. Let s(m) = 2*m**2 + 3*m + 3. Let o be s(-2). Let p be o\/1*(-40)\/(-350). What is the second smallest value in p, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 153\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-4 + 3 + 0)*(20*y + 2 - 2).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1150100 by 310.\nAnswer: 3710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 37470 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/14*7\/15?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 346858.934 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*s = -696*s - 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4307708*f*j**3 - 420*f*j + 163*j**2 wrt j.\nAnswer: -25846248*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*z - 0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2\/11, 0.3, 27, -20, -0.2 in decreasing order.\nAnswer: 27, 1\/3, 0.3, -2\/11, -0.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 47*x - 11. Let v(b) = 93*b - 21. Let z(h) = 9*n(h) - 5*v(h). Let t be (0 - -15) + 35 + -51. Is z(t) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -3*j + g, -2*j + 0*g = -2*g + 68. Is (-2)\/6 + j\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33 + -38 - (49\/(-40))\/((-18)\/(-63)) and -7\/766.\nAnswer: 30640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 - 4*j + 6. Let n(t) = -t**2 - t + 1. Let q be (15\/6)\/((-2)\/4). Let r(h) = q*n(h) + f(h). Let c be r(0). Solve 3 + c = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39665?\nAnswer: 5, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 16 - 21)*((-o + 2*o + o)*(-4 + 3 + 2) + 2*o - 4 + 4) to p*o + x and give p.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34200\/159600)\/((-3)\/126).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11160, -22343, -33540, -44757, -56000, -67275, -78588, -89945?\nAnswer: -101352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/60 and -143\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maamammm. What is prob of picking 1 m and 2 a?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6298 = -4*u + 5562. Suppose 21035 = 3*r - u. What is r rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245575 and 1034?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7305833?\nAnswer: 151, 48383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbtpnbttnsbtsbnbb. What is prob of picking 1 s and 1 n?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -977 (b) -0.3 (c) 9 (d) 3 (e) 5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v. Let x(q) = q**2 - q + 111. Is x(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a - 6 = -3*s, -s - 2*a = 8. Do -36\/43 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3264702\/(-4))\/(150\/40). Let b = -216491 - v. Let s = b + -1160. Are -4 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13101759.03 plus -4521?\nAnswer: 13097238.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41c003 (base 13) to base 3.\nAnswer: -2220020121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 5*i + 1\/3*i**4 + 0 + 0*i**3 + 0*i**2. Let r(u) be the first derivative of u**3 - 95. Determine h(r(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*h - 523, -5*m = h - 48 - 809. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(0 + sqrt(2736)*-1 + 5))**2.\nAnswer: -480*sqrt(19) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29968.\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17119 (base 11) to base 3\nAnswer: -1020001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498647829.\nAnswer: 3, 4219, 39397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 31*f**2 + 10*f - 8. Let i(r) = 43*r**2 + 11*r - 9. Let k(x) = -3*i(x) + 4*y(x). Let z(s) = 4*s**2 - 6*s + 4. Determine 3*k(w) + 4*z(w).\nAnswer: w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 104*1.33928\nAnswer: 139.28512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 56. Suppose -2*o - 5*p + l = 0, 0 = 4*o + 2*p + 11 - 35. Let f = o - 1. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*a, 0 = -14*u + a + 118 - 193 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 10570*i**2 + 159000*i = 0 for i.\nAnswer: -5300, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4996433 - -5237?\nAnswer: -4991196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-64)\/(-16)*(-1)\/2. Let s(j) = j**3 + j**2 - j. Let g(l) = -l. Calculate d*g(t) + s(t).\nAnswer: t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*m - 9 + 905*m - 1 - 1806*m + 4 + 6.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207248 is divided by 682.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -5*w - 4*k, -3*k - 12 = 4*w. Let r = 67481 + -67480.8. Let o = 37 - 34. Which is the third biggest value? (a) w (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + u**3 + 0*u**3)*(-2 + 0 + 3) + (-u**2 - 6*u**2 + 3*u**2)*(u - 2*u + 3*u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.132 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(1323) - 2*(sqrt(1323) + -1) - ((sqrt(1323) - 1*sqrt(1323)*1) + sqrt(1323))) + 3)*4)**2.\nAnswer: -12096*sqrt(3) + 85968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5053541 is divided by 15792?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a\/a**(-2\/7))**39*(a**(-1\/2)*a\/a**(1\/4))**26 assuming a is positive.\nAnswer: a**(793\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -5, 0, 1\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**32*z*(z*z**(2\/15))\/z*((z\/z**(-3\/7))\/z)\/z*((z*z**(-2\/3))\/(z\/(z\/(z\/(z**(-1\/5)*z)))))\/(z**(-6)\/(z\/z**(1\/13))) assuming z is positive.\nAnswer: z**(10399\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -170290*f**4*h**2 - 2*f**4*h + 247*h**2 + 6*h - 421 with respect to f.\nAnswer: -681160*f**3*h**2 - 8*f**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 2658810?\nAnswer: 10635240","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 - 6*o - 12. Let p(r) = 0*r + 0*r**3 + 4 + r + 10*r**2 + 0*r + r**3. Let u be p(-10). Is 10 a factor of d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -178*h**5\/5 + h**4\/2 + 14*h**3 + 170. Find the third derivative of b(n) wrt n.\nAnswer: -4272*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2. Let k(f) be the second derivative of 7*f**3\/3 - 42*f. What is k(v(c))?\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 295332 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = -3*s + t, -2*t + 8 = 2*s. Suppose -64 = -s*n + 4*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135704 (base 8) to base 3\nAnswer: 2102221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b - 60*b + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(0 + 2*u + 0) + (1 + 1 - 4)*(5 + 0 - 2)*(-7 + 7 - 10*u).\nAnswer: 58*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*j - 26 = 0, 29 = 4*i - 2*i - j. Suppose -4*w - i = 0, 0 = 8*v - 3*v + w + 28. Let h = -3 + 2. Put h, v, 1 in decreasing order.\nAnswer: 1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from satttelaalxt. Give prob of picking 1 e, 1 l, 1 t, and 1 s.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5 (c) 15 (d) 0.2 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 83. Let f be x(-26). Is -1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 10 + 86. Calculate the smallest common multiple of h and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000212184184 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 1545 - 1545. Let k(i) = 116*i - 3. Determine l(k(g)).\nAnswer: -26912*g**2 + 1392*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -254, -669, -1268, -2045, -2994, -4109?\nAnswer: -5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 - 6) + (-27 - (26 - 50 - 5))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*k - 15 = k, 4*f - 5*k = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 9*i + 4. Let n = 28 + 24. Calculate the remainder when n is divided by j(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 24 = 237*s - 118*s - 118*s, -22*s = -q - 66 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 4*r - 4*r + (-4 + 1 - 1)*(-4 - 6 + 4)*(2 - r - 2).\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 4048.\nAnswer: 48576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 41*r + 6. Let d(j) = -3075*j - 451. Suppose m - 89 = -2*y - 544, 3*y - 1347 = 3*m. What is m*q(b) - 6*d(b)?\nAnswer: -41*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 0.213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56892\/(-59040) - (-1)\/(-3). Let t = -13\/10 - c. Let g = 637\/6232 - t. What is the biggest value in -1, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 3*m**2 + 84*m - 463. What are the prime factors of r(26)?\nAnswer: 7, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/24 and -53\/10028140?\nAnswer: 60168840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-8)\/42)\/(162\/(-189)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/47, -6\/5, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggpspepgpppppspp. Give prob of picking 1 s and 3 g.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/25417205, 1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395570965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132328291.99069 - 132327026. Let a = 1266 - s. Round a to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34220.46426 - -2\nAnswer: -34218.46426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 35762.41ns?\nAnswer: 35.76241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677124359 to the power of 1\/2, to the nearest integer?\nAnswer: 40953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1689 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351a52a (base 12) to base 15.\nAnswer: d74507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggz when three letters picked without replacement from {s: 4, g: 2, z: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 658\/10 + -1*(-3)\/15. Suppose 3*v - 6 = -2*f + d, 3*v = 4*f + 54. Calculate the remainder when 85 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j + 44. Give y(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1346, 1353, 1358, 1361?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1178.1 - 1177.57945. Let z = -0.57 + 0.05. Let b = z + l. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - (2 - (2 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2, -0.153, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2*1\/666). Let j = -989\/3 + i. Find f, given that j*f**2 - 14\/3*f + 4\/3 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -374 + 3494. Is 39 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/26940366 and -1\/306576.\nAnswer: 215522928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/3 - 710024*o + 10650385\/3 = 0.\nAnswer: -2130077, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/26 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -777*j - 58. Let u be -13 - -2*(2 - 3). Is b(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16136017 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2604240 + -4064?\nAnswer: -2611334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.05 - -0.05. Let r = f + 47.066. Let a = -0.06600029 + r. Round a to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -16*i + 26*i. What is the closest to i in 3, 1, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - k**3 + 6*k**3 + 4*k**2 - k**2.\nAnswer: 5*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 5*m**2 - 4*m - 2. Let f be j(5). Let y = f - -17. Sort y, 0.2, 5.\nAnswer: y, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 3 - f + f - 1 - f**2. Let z(w) = -6*w**2. Determine z(q(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -16*i**2 - 2. Let n(w) = 12*w. Calculate n(x(m)).\nAnswer: -192*m**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*s**2 - 8*s**2 - 8*s**2 + 9 wrt s?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 931512911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 12*p + p - 9*p to k*p + v and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 14) to base 4.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + p + 362, 8*p + 238 = 2*d + 9*p. What is the greatest common factor of 915 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 149*m - 84. Let h be v(7). Suppose 2*f = 4*f + o - h, -3*o + 961 = 2*f. What are the prime factors of f?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7199?\nAnswer: 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7135, -7131, -7127, -7123?\n\"Answer: 4*n - 7139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**5\/60 + o**4\/24 - o**3\/2 - 12*o**2 + 2*o - 38. Let b(w) be the first derivative of v(w). What is b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, n: 2, i: 7}. Give prob of sequence nii.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7569791 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, -94, 5, 1\/4, -3\/16, 23?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751067.262 take away -0.4?\nAnswer: 2751067.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h**2 - 23*h + 373. What is the units digit of p(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -877806*l**3*m**4*z - 1070*l**3*m**2 - 5420*l**3*z + 33*m**4*z wrt m?\nAnswer: -21067344*l**3*m*z + 792*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -36. Let x(r) = 12 + 0*r - j*r**2 - r**3 - 19 - 8*r. Suppose a - 14 = 2*l, 0*l - a = 2*l + 10. What is x(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0 + 0*x**2 - 3\/4*x**4 + 11*x + 0*x**3. Let k(n) = n. Let y(v) = 4*v. Let b(d) = 7*k(d) - 2*y(d). Calculate q(b(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (63 - -7) - (-12 + 27).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) + (-1203)\/6165. Let j = h + 11093\/822. Let 27\/2*r + 1\/2*r**3 - 9\/2*r**2 - j = 0. What is r?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7095 and -4419.48?\nAnswer: 11514.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -77\/2. Let p = -79.72 - 1.28. Let g = p + 85. Which is the nearest to 1\/2? (a) g (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15356 divided by -4.\nAnswer: -3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a micrometer in nanometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 10 = 4*x + 2*l, 4*x = -4*l + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-89 - -87) + 0 + 15 + 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.680692 months in decades?\nAnswer: 0.2223391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24781b1 (base 12) in base 11?\nAnswer: 4028311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -7*v + 16. Let b = -8 - v. Let r(x) = -x**2 + 30500. Let k be r(b). Round k to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 3. Let u be k(9). Suppose u*l + 27 = 9*l. Calculate the greatest common factor of 72 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0735 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1775015595 to the nearest integer?\nAnswer: 42131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20058045?\nAnswer: 3, 5, 7, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/(5\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 = -17. Suppose -f + 49 = 4*p - 13, 0 = 2*p - 5*f - 20. Let c = w + p. Is 7 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 80 + 2*i**2 - 75 - 16*i**2. Let c(n) = 6 + 3 + 2*n - 3 - 7*n**2 - 3. Let w(l) = -5*c(l) + 3*x(l). What is the second derivative of w(m) wrt m?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3 + (3 - 3). Let k = 462 - 462. Suppose 5*b = 2*q - 45, k = -b + 1 - 4. Solve n - q = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 - 18*k**3 + 22*k**2 + 18*k - 20 = 0. What is k?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k - 21. Let a(n) = 2*n - 5. Suppose 2*u - 50 = 190. Let x be (-3)\/9*u\/(-2). Let z = 15 - x. Calculate z*p(i) + 21*a(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -63920 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -16, 7*r - 41 = 5*c + 3*r. Let l be (-5)\/(-4)*(6 - 10). Let j = c - l. Solve -3*o - 10 = -d, j = 2*d + 2*d - o + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 - 39*t + 93. Give g(5).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*z + 25248014, -2*z = 2*g - 0*g + 10099186. Round z to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a week in minutes?\nAnswer: 14784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + m**4 - m**4)*(14*m + 2*m + m)*(-1 + 10 + 4).\nAnswer: -663*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1565, 3131, 4697, 6263, 7829?\n\"Answer: 1566*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3095*d**5 + 812*d?\nAnswer: 61900*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 9*v**2 - 11. Suppose 61*k = 65*k + 8. Let t be k - (-9)\/(-4 + 1). Let q(i) = i**3 - 4*i**2 + 5. What is t*q(u) - 2*r(u)?\nAnswer: u**3 + 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*n**6 + 32*n**2 + 1 wrt n?\nAnswer: 3240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 16. Is (-2)\/s + (-29)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1a373?\nAnswer: -1a373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68 + 69 + 74018*b**4 - 73878*b**4 + 2*b - 39 wrt b?\nAnswer: 1680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.8 times 115421?\nAnswer: -60111256.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0 - 2 + 2 + 55*n. Let h be k(-10). Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19a1a - -2?\nAnswer: 19a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2 (c) 6 (d) 1112 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boqq when four letters picked without replacement from {q: 2, b: 9, o: 8}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Suppose -10 - 6 = -j*r. Let t be 4 - (r + -2) - -3. Solve 0 = -3*o + t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f + 103. Let b(i) = 26*i - 194. Let q(c) = 5*b(c) + 9*p(c). What is q(16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 10. Suppose -3*i = -0*i - 15. Let l be b(i). Suppose 5*g + l*v = -v - 3, g + 6 = -2*v. Solve -p = -g*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppjrjrr. Give prob of sequence pr.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*m**4 + 12*m - 43*m - 5*m - 56*m**2 + 3*m**4 - 1 - 3*m**2 wrt m?\nAnswer: -96*m**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)\/t)**(-2\/23)\/(t**(-1\/5)\/t*(t\/(t*t\/(t**(1\/2)*t*t))*t*t)\/t)*(((t*t\/(t**0\/t*t))\/t)\/(t**(-1\/3)\/t))\/(t**0*t*t**0*t*t) assuming t is positive.\nAnswer: t**(-1297\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/21*(0 + (-3)\/(-15))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + p = 43, 0*p + 3*p = -4*g + 89. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/13 + 70340*s**2\/13 + 619518200*s\/13 + 18522294000\/13.\nAnswer: 2*(s + 30)*(s + 17570)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5*sqrt(343))*6 + -5)**2 - (-5*(2 + sqrt(343))**2 + 2*-3*sqrt(343)).\nAnswer: -6958*sqrt(7) + 310724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2\/5 - 264*j\/5 + 268\/5 = 0. Calculate j.\nAnswer: -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056819241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1300)*4 - (-1 + (sqrt(1300) - sqrt(1300)*-2)))*4 + (sqrt(1300) + -3 + sqrt(1300) + -5 + sqrt(1300) - (sqrt(1300) + 2 + 5)))**2.\nAnswer: -4840*sqrt(13) + 629321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**9*m*m)\/m**(1\/9)*m**(-6)*m*m\/(m*m**8) assuming m is positive.\nAnswer: m**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -460 + 459.928. Let h = y + -5.928. Which is the nearest to h? (a) -2 (b) -19 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 0. Let w = 67606.1 - 67607. What is the second smallest value in w, x, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m**3 + 58*m**3 - 24*m**3)*(-m + m**2 + m).\nAnswer: 48*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h - 4. Let n be d(-5). Let l = n + -5. Suppose 0 = 5*w - 44 - l. Calculate the greatest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-16))\/(2\/(-4)). Suppose -2*p = -4*v + k*v + 46, -5*p + 5*v = 110. What is the common denominator of p\/(-28)*2\/8 and -9\/38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 + 7*o + 3. Let r be i(8). Let b be (64\/220)\/4*r. Is -1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 8. Let l = -142 - -200. Suppose 0 = -7*y + l - 2. Determine g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(9\/2)*n))\/n**(-22))\/((n\/n**(3\/10))\/n**(-4\/3)) assuming n is positive.\nAnswer: n**(232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:27 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1270\/2057287 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/350 and 94\/1155.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*r = -21 + 8, -3*r - 19 = -m. Calculate the least common multiple of m and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 2*y**2 - 4*y**2)*(y**2 - 13 + 13).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.87856 meters in nanometers?\nAnswer: 6878560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1054212 + 95788. What is a rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31642603?\nAnswer: 31642603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b + 5. Let r(v) = 11*v - 11. Let x be (12\/(-20) - 63\/(-30))*56\/21. Give x*r(n) + 7*z(n).\nAnswer: 2*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + w - 430 + 434 = 0, 5*b + 1 = -2*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + ((-4 - -3)*-3 - 1). Solve 0 = -p*t - 2*f + 7, 0*t + t + 3*f = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o**3 - 16*o**2 + 349*o - 3. Let v(a) = 24*a**3 - 31*a**2 + 698*a - 5. Let s(t) = 5*l(t) - 3*v(t). What is the second derivative of s(q) wrt q?\nAnswer: -12*q + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 - 5*a**2 - 3*a. Determine j(-4).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - t - 38 = -10*h, h + t - 18 = 0. Solve 0 = -h*f + 19*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/273 + 324\/(-1404).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212673183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -327, 4\/9, -0.2 in ascending order.\nAnswer: -327, -0.2, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 2868579.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4\/3 + 11680*a**3\/3 + 6821120*a**2\/3 = 0. Calculate a.\nAnswer: -1168, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 692197 and 92?\nAnswer: 63682124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-240)\/154)\/(-6) + (-2)\/(-7). Let b = -0.43329 - -0.03329. What is the closest to 2 in b, l, 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*n = 16, 0*n - 2*n - 18 = -4*u. Solve 0 = u*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9713807 rounded to three dps?\nAnswer: -0.971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 34*z**2 + 6*z - 11. Let f be 18 + -17 + -1 + 4. Is w(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuzu when four letters picked without replacement from zzzuuuzzzuzzzz?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 697 - 300. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcrxxxcxxcxxxcxxcbrr. Give prob of picking 2 b and 2 r.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -6, -3\/2, 5 in descending order.\nAnswer: 5, 4, 3, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**3 + 525*v + 4*v**2 - 515*v - 19*v**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b - 17*b - 12. Suppose b*o = 5*o - 1. Which is smaller: -4\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -y - 2*y. Let r(a) = -a + 17. Let c be r(7). Let l = y + c. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/8 - 5*n**3\/6 - 9*n**2. Determine z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 383*z + 61 - 103*z.\nAnswer: 280*z - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 16 + 18 + 17 + 18 - 595*j**2 - 2*j in the form w + v*j**2 + m*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -761*o**2 + 0*o + 2*o**3 + 2*o - 759*o**2 + 1517*o**2 - 76*o**4 as f*o**2 + x*o**4 + r*o + j + m*o**3 and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120390?\nAnswer: 2, 3, 5, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20585438, 20585438, 20585440, 20585444, 20585450, 20585458?\n\"Answer: j**2 - 3*j + 20585440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 1, d: 4, l: 2, r: 2}. What is prob of picking 1 v, 1 r, and 1 x?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79851.97 litres in millilitres?\nAnswer: 79851970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 154, 158, 164, 172?\n\"Answer: i**2 + i + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*g**3 - 71600*g**2 + 2512*g = 0. What is g?\nAnswer: 0, 2\/57, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7 + 1\/7*u**3 + 3\/7*u**2 - 4\/7*u.\nAnswer: (u - 2)*(u + 2)*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 plus -5.1?\nAnswer: 693.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8134 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 10 - 38 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/2)*o*o**(-5\/4)\/o)\/((o**(1\/4)\/o)\/o**(4\/7)) assuming o is positive.\nAnswer: o**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = k, -3*l - 4 = 3*k - 49. Suppose 25 = -k*q + 11*q. Let u(o) = -3*o + 6. Let i(v) be the first derivative of -v + 1. Calculate q*i(n) - u(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-3 + (-7 - 13019566\/(-1841)). Let v = -7062 + s. Put 0.2, v, 1, 0 in ascending order.\nAnswer: 0, v, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 30 - 18 = 0. Let l = x + -18. Suppose 2*c = 5*c + 3. Is l smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54290.081 - 54333. Let b = n + -0.081. Let r = b - -42.9999908. What is r rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 + 2*a - 2. Suppose -k - 6 = k. Let h(i) = i**3 - i + 1. Give k*d(c) - 6*h(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2 - 0. Let m = 92 + -74. Let x(i) = 5*i + 13*i + 12*i**k - m*i. Let t(g) = -g**2. What is t(x(p))?\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a + 1. Let w be p(-2). Suppose -129 = -5*d + 4*j, -d + 8 + 9 = -3*j. Let v = d + w. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*(-4095)\/(-351).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/4*67\/279. Let x = p + 8\/31. What is the common denominator of (-13 + 2893\/220)\/((-18)\/(-584)) and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/2139, -5, 7?\nAnswer: 2\/2139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 25*y - 9. Calculate p(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**3\/3 + n**2 + 20*n. Let j(h) = -h - 3. What is -2*j(l) - 3*u(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c - 9. Is x(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.69 times 0.5?\nAnswer: -36.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x**3 + 36*x**2 - 7*x. Let b(o) = -3*o**3 + 13*o**2 - 2*o. Let n(w) = -7*b(w) + 2*c(w). Let n(u) = 0. What is u?\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 69522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81151, -324393, -729797, -1297363, -2027091, -2918981?\n\"Answer: -81081*y**2 + y - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*d - 65 = -61 - 35, 4*d - 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5150*v - 573. Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139.5 + -140.2. Which is the nearest to 0? (a) 1\/4 (b) 11 (c) w (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18258 + 5*s - 4*s - 18258.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949979791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 - 2*a**2 + 2*a + 5. What is the lowest common multiple of 12 and l(-2)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274.359 - -275. Let t = r - 0.021. Let p = -0.61933 + t. What is p rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410664 is divided by 24154?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from jdrvvur?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-5)\/((-90)\/(-4))). Let q(y) = 4*y**2 + 5*y + 6. Give q(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7076.589 months to years.\nAnswer: 589.71575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbejjhehewsss. What is prob of sequence hws?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 - 3*o**2 - 3 - 5*o**2 - o + (3 - 3 - 2*o)*(-1 + 1 + 3*o) to y*o**2 + x*o + i and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 9 - 9)*(-2 + 11 - 6).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64\/95 + -9\/19. Let m = -16.7 - -14.7. Let y = -2 - 2. Sort m, -0.1, h, y in descending order.\nAnswer: h, -0.1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7802 and 78103.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 59. Suppose o + 315 = d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.1. Let n = 73 + -70. Put 5, m, n in ascending order.\nAnswer: m, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*15\/(-50))\/(3\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/2)\/(x\/(((x*x**(1\/10))\/x)\/x)))\/(x**(-2\/3)\/x**8))**(-22))**44 assuming x is positive.\nAnswer: x**(-120032\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1595867 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/60 - f**2. Let h(u) be the third derivative of 0*u**3 - 1\/12*u**4 + 0 + 2*u**2 + 0*u. Give h(w(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4) + (-10)\/(-11)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 - 263.2. Let n = k - -14.2. Let t be ((-6)\/92)\/(6\/(-8)). What is the closest to 0 in n, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3580336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1624, -1561, -1392, -1063, -520, 291, 1424?\n\"Answer: 9*r**3 - r**2 + 3*r - 1635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68326096637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 130. Let o be s(-50). Calculate the highest common factor of o and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-30)\/(-5))*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 450 and 8?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1001\/182 - (-9)\/(-6). Let d be (-3)\/4*(-20)\/1. Suppose 2*y = -y + d. Solve -v = -y*g, g = -x*v + 3*v + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 123, 245, 405, 603, 839, 1113?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 417 = -390 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35\/(-2))\/((-16)\/288). Suppose -n = 4*h - 9*h. Suppose 2*i - 41 - h = 0. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*i**3 + c**2*i**2*l**2 + 5*c**2*i**2*l - 3*c**2*i*l**2 + 2*c*i**3 + 55*i**3*l**2 + 9*i**2*l**2 wrt i?\nAnswer: -6*c**2 + 12*c + 330*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170304550.65 less than 0?\nAnswer: -170304550.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1370722786 + 7.74\nAnswer: 1370722793.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 2*f + f)*(4 + 2 - 4) + (0 - 3 + 4)*(-1 + 2*f + 1) - 2 + 2 - f - 41*f + 948 - 948 as j + g*f and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52090269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxaxxxxxxxwakaxawxxx. Give prob of sequence aa.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5530 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.463185 years in centuries?\nAnswer: 0.07463185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2472753\/2 or 1236376?\nAnswer: 1236376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8346, 5437, 2528, -381, -3290, -6199?\nAnswer: -9108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*b - 9 - 12 = 0, 0 = -4*g + 2*b - 28. Let f = 101\/8 - 281\/40. What is the common denominator of f and (g\/72)\/((-1)\/(-78))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 110228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -6*u - 72. Suppose 5 = 5*m + u. What is the units digit of 1\/((-6)\/(-76)) - m\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.7, -429\/7, 4, -0.4 in increasing order.\nAnswer: -429\/7, -0.4, 4, 15.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106108, 106109, 106110, 106111?\nAnswer: 106112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, f: 3, b: 1, l: 1, e: 2, i: 1}. Give prob of picking 1 i, 1 e, 1 y, and 1 f.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/8)\/(6\/2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -252 + 252. Factor u*z + 2\/5*z**2 + 0 + 0*z**3 - 2\/5*z**4.\nAnswer: -2*z**2*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6*k - 4*r = 7, -r = -k - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h. Let y(v) = v - 9. Let n be y(11). Suppose -1 = 6*i - 13. Let k(o) = -o**i + 6*o**n - 2*o**2. Give p(k(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/11 + 518*s**2\/11 - 33798*s\/11 + 33282\/11 = 0.\nAnswer: 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnq when three letters picked without replacement from nddqnqqfqf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 2, -v = -2*j + 8. Let r be (-26)\/(-3) + (-2)\/v. Let k be (15\/r)\/((-4)\/12). Let u(c) = c**2 + 6*c + 4. What is u(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*w**5 + 2*w**3 + 323*w.\nAnswer: 1540*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -8) + 10*-1. Let p(a) = -a**2 - 13*a - 10. Let j be p(u). Find the common denominator of 87\/50 and j\/(-4)*((-118)\/6 - 4).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 19 + -5 + 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 1 - 2)*(-2*b + 5*b - 2*b)*(87 - 347 - 335) to the form l + v*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5669*n**2 - 3918 with respect to n.\nAnswer: 11338*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/4 + 2\/(-8). Let c be (5328\/96 + -58)*2\/(-5). Put 0, y, c in descending order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/21? (a) 21 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1) + 20 + -9. Solve -d - f - 12 = 4*y, -d = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.862768 to 3 dps.\nAnswer: 5.863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 2422441?\nAnswer: 2422440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 - 606*i**4 - 19371*i**3 + 1124124*i**2 - 1062948*i - 2205840 = 0. What is i?\nAnswer: -130, -101, -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + -58 + 59.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*1*((sqrt(77) - ((sqrt(77) - (sqrt(77)*-1*1 + sqrt(77))) + sqrt(77)))\/(sqrt(11) + -6*(sqrt(11) - sqrt(11)*2)) + 3).\nAnswer: -15 + 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -n - 4, -n + 16 = -c - 5*n. Suppose -25*s + 1098 + 1252 = c. What is the remainder when s is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9767.6 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 3*w - 5. Let b(f) = -4*f**2 + 4*f + 5. Calculate -4*b(i) - 5*s(i).\nAnswer: i**2 - i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6942 and 106762.\nAnswer: 370570902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.5022\nAnswer: -2.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22135634 (base 7) to base 13\nAnswer: -51a862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.81916 + -89.\nAnswer: -88.18084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 474\/1975*10\/(-3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122730225*f**4 - 188059966*f**2.\nAnswer: 2945525400*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/((-1)\/((-10)\/(-15))). Suppose 5*a - 806 - 197 = -o, -t = 2*o. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -18894?\nAnswer: 1\/18894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Let x be m(-8). Suppose -x*y = -704 + 155. Let w be (-1)\/3 - 0 - y\/(-3). Calculate the greatest common factor of w and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/13140 and 11\/36.\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.7 times 12.2?\nAnswer: 228.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3))**(-40))**(-1\/57) assuming s is positive.\nAnswer: s**(-80\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1e?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 5*d + 1. Let y be (2 + 0)\/(1\/(-2)). Let c be i(y). Solve 0 = 3*z + 5*o - 29, -6 - 5 = 3*z - c*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20*39\/(-7293)*-68?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5143 - 4714. What is the highest common divisor of 273 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -252*10*1\/(-4). Suppose -2*y - 506 = -4*v, -2*v - 3*v + j = -5*y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, 66.\nAnswer: -2\/3, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16c (base 14) to base 10.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m - 9*m + 161376. Is 41 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 4*q**2 + 212*q - 11. Determine b(-17).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 413684 or 413685?\nAnswer: 413685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*p - 20 = 0, 3*p - 1 = -a + 13. Suppose -v + 245 = a*h - h, -5*v + 481 = 2*h. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -14, 512, 4\/5, -2\/15, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -115. Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 6*f + 101 + 108. Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7))*6 + 4 + 3.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:26 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 1680\/(-72))\/((-310)\/(-3565) - (-5056)\/46)?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038383 to five dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:49 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -13 (b) -0.03 (c) 5 (d) -5\/2 (e) -4 (f) -1\/8 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 12*y - 3. Let a(g) = g**3 - 5*g**2 + 2*g + 3. Let v be a(3). Calculate the remainder when f(v) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 6 + 6)*(s**4 + 2*s**4 - s**4) - s**4 + 3*s**4 + s**4 + (s**3 + 0*s**3 - 2*s**3)*(5 + s - 5) as f*s + w + d*s**3 + z*s**4 + v*s**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 3*z + 1. Let s be q(3). Is (s\/3)\/(6\/54) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -154*i - 46733. What is p(-312)?\nAnswer: 1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + 2\/6. Let q(a) = -a + 3. Let f be q(-7). Let w = f + -10. Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.1 + -293.1. Let a = b + 273.000161. Round a to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 1, e: 4, x: 5}. What is prob of sequence nex?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - v + 0)*(6*v**3 - 4*v**3 + 0*v**3) + (-4727*v**2 + 4727*v**2 - 1839*v**3)*(0*v - 2*v + 0*v) to m + l*v**2 + t*v**3 + w*v + z*v**4 and give z.\nAnswer: 3676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycycc. Give prob of sequence yc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1387, 1, 1175.\nAnswer: 1, 1175, 1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 208, 766, 1692, 2986, 4648, 6678?\n\"Answer: 184*x**2 + 6*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfdf. Give prob of sequence ffs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:10 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1557 = -1710. Calculate the remainder when r is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1276 divide 67269444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9)*3)\/1*(-188790)\/(-88102)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19182)\/(-349830) - -2*(-7)\/(-1183).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -127*u**2 - 6*u + 13. Let l(m) = 95*m**2 + 6*m - 13. Calculate -3*f(a) - 4*l(a).\nAnswer: a**2 - 6*a + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26771 + -2948. Let i = r - -29723.0011. Let y = i - 4. What is y rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(54)\/sqrt(2) - sqrt(27))*-4 + sqrt(27))\/((sqrt(189)\/sqrt(3))\/sqrt(7)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 94683.71g?\nAnswer: 94.68371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-6 + -26 + 26)) + (3 - 152)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205 - 498 - 31*a + 250 - 6*a + 5*a to the form w + h*a and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**3 - 36*j**2 - 7*j - 3. Determine f(-8).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1 + (sqrt(17) - (-1 + sqrt(17))) + -4)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 966128965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3*v**3 + q**3*v - 38286*q*v**4 + 7*q*v + 745*v wrt v?\nAnswer: 6*q**3*v - 459432*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1589662489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:28 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -4*c + 147. Suppose 8 = 4*p + 2*m, -3*m + 8*m - 6 = -c*p. Calculate the remainder when ((-6)\/(-15))\/(1\/15) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 312354.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -44, 13 in ascending order.\nAnswer: -44, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 - h. Let s(y) = -5*y**3 + 4*y**2. Suppose i - 1 = 3*c - i, 3 = 4*c - 7*i. What is c*s(j) + 4*b(j)?\nAnswer: j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6069520 (base 10) to base 4.\nAnswer: 113021310100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8403217 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + sqrt(50)\/(-5*sqrt(10) + sqrt(10)))) + 2.\nAnswer: sqrt(5)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3*z - 242*t**3 - 17133*t**2 - 22337155*t*z + 6*t wrt t?\nAnswer: -18*t*z - 1452*t - 34266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 330714*k**2 + 4*k - 4601787 wrt k?\nAnswer: 661428*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18456 - -49856. Round n to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101971 is divided by 167?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 73*o**2 + 341*o - 58. Calculate z(68).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744478132.\nAnswer: 2, 47, 9279139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/19 - 1708*h\/19 - 1706\/19.\nAnswer: -2*(h + 1)*(h + 853)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5) + 10674\/180. Which is greater: 61 or i?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 13) to base 10\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2533043174.\nAnswer: 2, 223, 1667, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h + 918. Let q(z) = 35*z - 1837. Give 13*k(x) + 6*q(x).\nAnswer: 2*x + 912","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -13. Let u = 5.9068 + 0.1492. Let s = u + q. What is s rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 599\/31463 - 1\/1293. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5. Let g(f) = -f - 11. Let y(z) = -3*g(z) - 5*w(z). Let q be y(-3). Calculate the remainder when 1\/(((-5)\/25)\/q) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, -1932509?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2 + (-6)\/3)\/(150\/20). Which is the biggest value? (a) p (b) -0.47 (c) 0.04 (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 7*j**2 + j - 3. Let x be w(7). Let n = -21 + 21. Solve 2*i - x*i + 2 = n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccvv when four letters picked without replacement from {y: 2, v: 2, c: 7}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 73 = -5*m. Suppose -f - 6 + m = 0. Let i = f - 15. Calculate the lowest common multiple of i and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049727 rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r + 31*r + x = -268747, 268759 = 3*r - 4*x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 168*w + 1923. Let u be a(-15). Suppose d - 2*r = -0*r + 88, -5*r - 103 = -d. Is d smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**(-3))*k\/(k*k\/k**(-3)*k))\/(k*(k**(-6\/7)\/k)\/k*k*k\/(k**1*k)))\/(k\/(k*k*k\/(k\/(k*k**(-3\/7)*k)))*k**12)**(17\/2) assuming k is positive.\nAnswer: k**(-611\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1363*s - 1363*s - 76*s**2)*(s**2 - s**2 - s**2) as g*s**3 + t + u*s + w*s**4 + h*s**2 and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 13 = 3*g - 2*s, -5*s - 5 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109524909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 23*z + 18. Let j be u(-12). Suppose b - j = -10. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 + -3. Let n be 8*(-2)\/(-4)*3. Suppose -2*s = -5*a + 20, -s - 13*a - 3 = -n*a. What is the closest to 0.7 in 2\/5, s, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14503350 (base 6) to base 14\nAnswer: -d26b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/12 - 5*a**2 - 6. Let q(v) = 2*v**2 - v + 1. Let o(p) = -p + 1. Let g(h) = o(h) - q(h). Calculate u(g(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 306\/(-408)*(-1159)\/366?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 11 = -56*d + 61*d, -g - 8 = 2*d. Let v be -4*3\/(-6) + 3. Suppose -4*s = v*u + 27 - 6, u + 13 = -3*s. Is g at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566460 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: Let m(z) = 2*z. Suppose -8*x - 2 = 22. Let t be (-288)\/(4\/(-1)) - x\/1. Let s(v) = t*v**2 - 125*v**2 + 71*v**2. Give m(s(j)).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/374 and -145\/6?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 - -6423?\nAnswer: 6358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1831 minus 0.03429626?\nAnswer: -4.21739626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + i**2 + 52 + 58.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 715225 and 93800.\nAnswer: 5721800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 398958 and 10764?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8 - 7 = 0. Let q(s) = 2*s - 5. Let p be q(g). Suppose p*r = r + 16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012642586 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/288 and -73\/469152.\nAnswer: 469152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 16*d + 48. Let o be b(12). Suppose -6*j + 271 - 43 = o. What is the highest common factor of j and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001101010111010110 - -111100?\nAnswer: 11001101011000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + (-10)\/25. Let l be v*(2 + -4 + 3). Put 1, -1, l in descending order.\nAnswer: 1, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*w**4 + 0*w**2 - 3\/4*w**5 + 0*w**3 + 0*w + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2*z - 4, 3*y - z = z + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1086*n**6 - 2154*n**6 - 1589*n**6 + 1536*n**2 + 1047*n**2 wrt n?\nAnswer: -318840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 7, c: 1}. What is prob of sequence tic?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/392)\/((-17)\/238).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 7*y**2 + y + 5. Let d be x(-7). Let i(p) = p**2 + 2*p - 2. What is i(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 1. Let v = -101 - -102. Let f be h(v). Which is the third smallest value? (a) f (b) -4\/7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 312 - 12. Solve 4*m + k = 0, -5*j + 0*m = -5*m - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g**2 + 21*g - 25. Suppose -396*n + 383*n = -143. Let u(c) = -3*c**2 + 4*c - 5. Calculate n*u(v) - 2*t(v).\nAnswer: -v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2531 - -2531.4. Let u = -14 - -13. Let t = u + 0.9. Put c, 4\/13, t in decreasing order.\nAnswer: c, 4\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 41. Let q = 36 + s. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*j - 539*j = 2*p - 4, -3*p - 12 = 3*j. Put 19, -5, j, 10, -4 in descending order.\nAnswer: 19, 10, j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 727, 2066, 3401, 4732, 6059, 7382?\n\"Answer: -2*k**2 + 1345*k - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + (sqrt(140) - (sqrt(140) - sqrt(140)*1)*-1))\/((sqrt(40)*2)\/sqrt(4)))\/(5*(sqrt(288) + sqrt(288)*1)).\nAnswer: sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -10.9, 1.5 in decreasing order.\nAnswer: 1.5, -2\/3, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 62, 89, 114, 137, 158, 177?\n\"Answer: -s**2 + 32*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - (-27 + 25 + (30 - -3))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65239, 65096, 64953, 64810, 64667, 64524?\n\"Answer: -143*k + 65382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4433 - -4.9093. Round f to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j)\/j**4*(j\/(j\/(j*j*(j\/(((j\/(j*j**1))\/j)\/j*j)*j*j)\/j*j)))**(-30))\/((j*j**1)**22*j**(1\/3)\/(j**(-2)*j)) assuming j is positive.\nAnswer: j**(-784\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**5 + 75*p**4 - 6245*p**3 - 38935*p**2 - 58860*p - 26240 = 0.\nAnswer: -41, -4, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6151 (base 8) to base 3.\nAnswer: -11100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16689, 33374, 50059, 66744, 83429?\n\"Answer: 16685*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0201751867 rounded to 5 decimal places?\nAnswer: -0.02018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2880 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(4\/9))**(-1\/48) assuming a is positive.\nAnswer: a**(1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7552384 and -73\/320.\nAnswer: 37761920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/60 + (-4)\/(120\/(-34)). Let d(u) = 20*u**2 - 3*u + 3. Calculate the remainder when 95 is divided by d(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 266? (a) -3\/8 (b) -4 (c) -5 (d) -0.2 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(2*m**2 - m**2 + 2*m**2) + 2 - 2 + m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86016 - 21019. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220.3 - -220. Let f(i) = i + 8. Let z be f(-6). Let t = 0.2 + -4.2. Which is the closest to 2\/3? (a) g (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d376 (base 15) to base 9.\nAnswer: -1716233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1.3 (b) 4\/111 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqiqjqiqqqjjkjjkjt. What is prob of sequence ktk?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (4 + 4))*6\/(-189)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-6 - -18) - 12) + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351327391.\nAnswer: 139, 24110269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 (base 4) in base 12?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i + 12*i + 1 - 4*i. Determine k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 946\/55)\/(18\/(-20))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 67*n + 4. Let j(q) = 2*q. What is j(b(x))?\nAnswer: 134*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14977649734*n**2 + n**3 + 14977649734*n**2 + n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -17*x - 15 + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 26*o + 1. Let g be i(26). Let v(x) = 761*x - 756*x + 3 - 3 - g. Let a(p) = 4*p - 1 + 4*p - 4*p. Determine 4*a(j) - 3*v(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 17 = 2*a - 19, -11 = -a - 5*m for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000137368446 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*f + 48 = 374*f. Put f, 4, -19, -4 in ascending order.\nAnswer: -19, -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 - -65 - (69 - 111)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7))**(-5\/3)*(t\/(t\/((t*t**(3\/5))\/t*t*t)*t))**(-1\/35) assuming t is positive.\nAnswer: t**(-19\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 22315058 and -3\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1724131199.\nAnswer: 7, 35186351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2640 and 2805?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -10427*s**4\/2 - 255462*s**3 - 7152971*s**2\/2 - 14306187*s - 1372 = 0.\nAnswer: -28, -14, -7, -1\/10427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429 - 228. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaylo. What is prob of sequence lo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*w**4 - 7*w**3 - 217*w**2.\nAnswer: -600*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -18 - 18 - (5 + 68 + 6)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/(2\/(-1)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 601965, 601989, 602013, 602037, 602061?\n\"Answer: 24*g + 601941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-14)*(-48)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*h - 24. Suppose 25 = -h*d + 89. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 103, 157, 247, 373, 535, 733?\n\"Answer: 18*n**2 + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -22*o**3 - o**2 - o - 1. Suppose 64 = 6*f - 176. What is the remainder when f is divided by x(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117796 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/7 - 16*q\/7 + 480\/7 = 0 for q.\nAnswer: -20, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 1060*p + 10*p**2 + 5*p**2 + 1060*p.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/17, -16.61, 0.4, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -4*j. Solve -4*u + j = -3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(17) + 2 - (2 + 0 + sqrt(17))) + 0 - ((sqrt(204) - (sqrt(204) - -4*(sqrt(204) + sqrt(204)*-1)))\/(sqrt(120)\/sqrt(40)) + 1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n - 5. Give q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-387630)\/19710)\/(2\/8*-2)*(-3)\/(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a + 12. Determine k(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1dac1 (base 14) in base 12?\nAnswer: 38135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o. Let t(x) = x**2 + x - 5. Let z be t(o). Let f(g) = -g**3 - 4*g**2 + 2*g. List the prime factors of f(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 - (203 - 434) - (-3601)\/(-80).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z + 0*z - 9*z)*(623*z + 12*z**4 - 13*z**4 - 602*z).\nAnswer: 17*z**5 - 357*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9*j**4 - 155\/9*j + 52\/9 - 1\/3*j**2 + 208\/9*j**3 = 0.\nAnswer: -52, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440287 (base 11) in base 3?\nAnswer: -1022201110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 8*b + 3 = 0, -4*b = -5*i + 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (74 + -39 - 16) + (1 - -24)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:54 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70531971 + 1?\nAnswer: 70531972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*p = 45, 0 = 3*q - 52*p + 53*p - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.92 + 119.08. Let l = p + -123.1. Sort 0.1, -3, l, 0 in increasing order.\nAnswer: -3, 0, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -357, -405, -447, -483, -513?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(5) + 0.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.97 + -0.03. Let u = a - -7. Which is bigger: 1\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 301304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 32 = 6*v, -8440*m + 8444*m = 2*v + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:04 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-1*1)\/((-11)\/(-44)). Let g be t\/(-3) - (-46)\/69. Suppose 0 = b + b. Is g bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 230 in increasing order.\nAnswer: 4, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1\/2))\/(d\/(d*(d\/(d**(2\/3)*d))\/d*d))*(d**0)**(-7\/8)*d**(-3)*d\/(d*d\/d**(4\/5)*d)*d*(d*d**2*d)**(-45) assuming d is positive.\nAnswer: d**(-5471\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 762 + -760. Solve 3*j = o + 5, p*o + 4*j - 3 = -13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: What is the common denominator of -26\/57 and (-2 + (-140)\/15)\/((-6)\/(-1))?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -833815 - 59171964?\nAnswer: -60005779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1619758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.4 - -33. Let p = -5.4 - g. Suppose 3*j + 15 = 0, 3*w - 2*j = -w - 10. Sort p, w, 13.\nAnswer: w, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41.6 and -25.\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -q + 707*v - 710*v, 4 = -5*q + v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((3\/27)\/((-6)\/18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/48)\/((60\/(-2080))\/(6\/(-1))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -368090 divided by -2?\nAnswer: 184045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3076 - 159?\nAnswer: -3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 537*v + 91. Does 16 divide k(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**2 - 6*x + 8. Let o(l) = 15*l**2 + 17*l - 23. Calculate 17*g(b) + 6*o(b).\nAnswer: 5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(63)\/sqrt(3)*4 + (sqrt(210)*2 - sqrt(210))\/sqrt(10)))\/(1*sqrt(18)\/(sqrt(600)*-1)).\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 597*x**2 + 30576*x - 86436.\nAnswer: 3*(x - 98)**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 9, -77 = 8*p - 6*p + 3*l. Let j = -349\/11 - -9773\/308. Let f = j + -573\/308. Calculate the common denominator of f and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/1*(-25)\/3. Let d be 14\/1386*11 + (-14468)\/(-36). Let n = d + f. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28311.7 + 28308. What is the smallest value in -7, 1\/2, a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 233*r**2 + 3. Let y be m(-2). Suppose 6*a = -5*a + y. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*q + 135 + 60 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107, 454, 1037, 1856, 2911, 4202?\n\"Answer: 118*t**2 - 7*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -8. Let w(u) = 12*u**3 - 7*u**2 + 7. Let y be (-30)\/(-200)*45 + (-3)\/(-12). Let j(z) = 8*z**3 - 5*z**2 + 5. What is p*w(l) + y*j(l)?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44504240?\nAnswer: 2, 5, 11, 103, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19937612447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*h**3 - 2\/5*h**4 + 0*h + 0*h**2 + 0 = 0. What is h?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*l + 12 + 4 = 0, -2*s = 2*l - 10. Sort -5, 5, s in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 29 = h - a, -3*h + 1 = 4*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)*v)\/v**5)\/(v**(-1))**(-6\/11)*(v**(1\/4))**(1\/47)\/(v**(-1\/2)*(v*v**4*v)\/v) assuming v is positive.\nAnswer: v**(-29035\/2068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1557*q - 200804. Calculate f(129).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1191323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61044929 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11058 and 570?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - s**5 - 3*s**5 + (29 - 21*s - 29)*(-19*s**4 + 90*s**4 + 50*s**4) + 0*s + 0*s + s**5.\nAnswer: -2542*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + h + 5*h + 51 - 104.\nAnswer: 6*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*m**2 + 2 + (-2 + 3 - 3)*(-2*m**2 - m**2 + 2*m**2) + m**2 + 0*m**2 - 2*m**2)*(-2 + 2 - 2).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (53 - -6)*-1 - (-4 - 0). Let w be (33\/o)\/(1*44\/(-10)). Which is the smallest value? (a) w (b) -1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-12))\/((-3)\/(-8)) - 5. Is 5 - (-86)\/(1 - r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -2, -12, -41, -4 in decreasing order.\nAnswer: 3, -2, -4, -10, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, 1 p, and 1 k when four letters picked without replacement from ikpkppkigggcckki?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*21\/(-14). Suppose a = v + 3. Let p = 2.3 - 0.3. Put v, -4, p in increasing order.\nAnswer: -4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/(5\/(-20)). Suppose 0 = -2*w + 3*c + 64, -j*w = -5*c + 14 - 86. Let q = w + -9. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9852, 24348, 38844, 53340, 67836?\n\"Answer: 14496*d - 4644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 10*z - 10. What is the least common multiple of 22 and j(6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2. Suppose 21 = 17*d + 146*d + 21. Let p(m) be the first derivative of 0*m**2 - 1\/3*m**3 + 18 + d*m. What is p(t(a))?\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*l - 104 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 + 3 = -5*x, -4*n = 8. Suppose -5*u = 5*t - 65, u - x = 4*t + 6. Suppose -5*s + u = -2*s, -4*j + s + 164 = 0. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32970 is divided by 1213.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4179 + 2*u**3 + 9999 + 0*u**3 - 5*u**3 - 3635.\nAnswer: -3*u**3 + 2185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 3, x: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*-2*(-1)\/(-4). Let a be -1 + (-2 - z) - -2. Let j = -5 - a. Sort j, 5, 4.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 3\/12. Let s(p) = p**2 + 8*p + 9. Let g be s(-6). Let n = -19667 + 19662. What is the closest to g in n, v, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 14. Let z(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 2*p**2 - 3*p + 1. Calculate the remainder when z(4) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 3*b - 13. Let m be s(6). Let x(z) = -z**3 + 4*z**2 - 2*z. Let f be x(3). Suppose -f*r - 4 = -2*r. Sort 3, m, r in decreasing order.\nAnswer: m, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14040 + 2?\nAnswer: 14042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -33*u**2. Let a(v) = -101*v**2 + 17338. Determine a(n(b)).\nAnswer: -109989*b**4 + 17338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 544789697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 999 and 783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -115. Suppose 0*j = 4*j + f - 133, x*f - 71 = -2*j. Let v = -27 + j. Solve -2*z = -2*c - v, -3*c - 17 = c - 5*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8\/(192\/88).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156579934.\nAnswer: 2, 7, 197, 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 934165036 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67415 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.459 + -1.989. Put 1\/4, a, -3 in decreasing order.\nAnswer: a, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179813.48111 to the nearest 100.\nAnswer: 179800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 936?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 0.4 (b) 2 (c) -0.242 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*y + 68 wrt y.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 50 = -358*x + 355*x, 14*x = -4*m - 122 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -2365*c + 2369*c - 3*o, -6 = -58*c + 4*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g + 16. What is the tens digit of h(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 838*b**2 + 1203*b. Let p(n) = -n. Give g(p(v)).\nAnswer: 838*v**2 - 1203*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230013 - 13121?\nAnswer: -303200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.056 + -0.055991358. Round n to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*24\/20*(-5)\/75?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 72959997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-7)\/x))**(-9)*x**(-1)\/x**11)**(4\/5) assuming x is positive.\nAnswer: x**(-372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63750968 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(1*sqrt(11)) + -2 + sqrt(68).\nAnswer: -2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 406 divided by 29\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j**2 + 2*j + 17. Let x(m) = -120*m**2 + 21*m + 171. Let f(a) = 21*k(a) - 2*x(a). What is the first derivative of f(w) wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165.2289 less than -4351?\nAnswer: -6516.2289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c3 - -22d5d?\nAnswer: 2248a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29909.2 + -29909. What is the third biggest value in -4, 7, r, 1, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12.5 * 0.04\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001781 rounded to six dps?\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5\/2 - 60*q**4 - 987*q**3\/2 = 0 for q.\nAnswer: -7, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) - 682\/(-10). Suppose 5*x = -3 + r. Suppose 1 = -3*n + x. Sort 5, -1, n.\nAnswer: -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 4*n**2 + 220*n - 17. Give t(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 0 - (326 - 323).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2470*b + 9799. Calculate y(4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:04 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/18 - 8\/9. Suppose -3*w - 13 = -2*w. Let h = 63\/5 + w. Which is the nearest to h? (a) 0.1 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4\/2 + 537996*o**3 - 3765915*o**2 + 5917848*o - 5379855\/2 = 0.\nAnswer: 1, 5, 358657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 8. Let v be s(0). Let t be 4\/(-6) + 207\/27. Suppose -216 = -t*b + 4*b. Calculate the greatest common factor of v and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 12*t**2 - 56*t - 37. List the prime factors of s(-11).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -71593?\nAnswer: -5\/71593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let z(p) = -350*p + 110. Suppose 4*f + 322 - 222 = 0. Let h(k) = 29*k - 9. Let m(q) = f*h(q) - 2*z(q). Determine m(n(b)).\nAnswer: -50*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -79*c + 308. Give t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1350.94 + 1337. Let l = -0.06 + r. Let i = 0.39 - 5.39. What is the third biggest value in i, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16979 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*i + 6, -5*l + 3 = -4*l + 5*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 767 and 83611827.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c215dd (base 15) in base 4?\nAnswer: 203022212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**3 + 0*o**3 - 3*o**3)*(9 - 3 + 3)*(1 + 1 - 3)*(4 - 7 - 18).\nAnswer: 378*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -1\/4*l**5 - 1\/4*l**4 - 1\/30*l**6 + 2*l**2 + 5\/6*l**3 - 11 - 2*l. Factor p(r).\nAnswer: -(r - 1)*(r + 1)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + i - 2 = -0*c, -2*c + 5*i = 10. Let f be -11 + 11 - (-3 - -1). Let h = c + f. Solve -o + h*g = 3*g, 3*o - 8 = 5*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1277*a**3 - 12*a + 11. Let z be (8\/(-20))\/((-24)\/60). What is the thousands digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -148, 66 in increasing order.\nAnswer: -148, -15, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 47 - (21 - 1) - -9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2248547 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 38.988. Sort -1\/9, 1, a, -2 in ascending order.\nAnswer: -2, -1\/9, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*c - 5*c. Let q = -9 + c. Suppose 5*u = -4*h + 21, -8 = -h - q*u - 2. Solve -6 = n - h*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = 37. Let w be (-329)\/(-49) - i\/21. Suppose -2*y = -2*x - 4*y + 12, 0 = -x - 2*y + w. Put x, 0, 3, -4 in decreasing order.\nAnswer: x, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 0, 0 = -4*f + p + 103 + 12. Suppose -3*a = -s + 2*s - 47, 2*s = -2*a + 34. What is the remainder when f is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944946?\nAnswer: 2, 3, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l**3 + 0*l**4 - 15*l**2 + 0 + 0*l - 1\/60*l**5. Let w(a) = -40*a. Determine n(w(u)).\nAnswer: -1600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-5340825)\/(-1225) + 16\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 27338 = -3*f + 2*f, 4*f + 3*t - 109447 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38416 is divided by 742.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 divided by -6?\nAnswer: 218\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 9*p + 9. Let i be b(-3). Let x(y) be the second derivative of 2*y**3\/3 + 41*y**2\/2 - 7*y + 145. What is x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45339 = -1742*j - 111441 for j.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shchjhcthcjtctvvcct. What is prob of sequence hhh?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -143716*m**3 - 2 + m + m**4 + 143718*m**3 + 0*m**4 - 20*m**2 in the form b*m + f*m**4 + l*m**2 + o + q*m**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t + 33 = -5*x, -4*t = x - 33. Suppose 3*m = -9, -h + t - 3 = 2*m. Suppose -27*i = -26*i - h. Calculate the remainder when 17 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -779, -1760, -3155, -4976?\nAnswer: -7235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7388, 5, 14, -1 in increasing order.\nAnswer: -1, 5, 14, 7388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*g - 1108, 3*z - 12 = -0*z. Suppose h = 3*j + 55, -4*j - g = 8*h - 12*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*u**5 + 3*u**3 + 5*u**2 - 8?\nAnswer: 1920*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(0 + 0 + 2*o) + o - 4*o + 0*o)*(-47*o - 24*o - 15*o) + (5*o + 2*o - 5*o)*(0 + 2*o + 0) + o + o**2 - o.\nAnswer: 607*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76338 is divided by 1295?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 - 4*a**3 - 4*a**3 + 2*a to q*a**3 + y + m*a + v*a**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-6))\/((-9)\/2022). Suppose 0 = 2*g + 69 - c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*i + 805, -3*i + 148 = -0*x + x. Suppose 3*j = 2*j + 2*z + x, 5*z = 4*j - 646. What is the greatest common factor of j and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let q be (-4)\/70*(3 + -8). Factor -q*i + 2\/7*i**k + 0.\nAnswer: 2*i*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from {q: 1, j: 9, x: 3, a: 2, c: 3, g: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1466? (a) -3\/8 (b) -382\/3 (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 8*w + (-13*w + 111 - 111)*(0 + 2 - 3).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1882\/4)\/(1\/2 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 9*q + 624. Calculate the remainder when q is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43168484537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - -0.19. Let b = m - 0.64. Let x = -8.3 - -8. Sort x, b, 1\/2.\nAnswer: b, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:24 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**1*q*q**(-8) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.91 rounded to 0 dps?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*x**3 - 91*x**3 + 168*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 14 = -10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -3781, 5, 0, -2 in ascending order.\nAnswer: -3781, -2, 0, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 339971787 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 22\/675267?\nAnswer: 22\/675267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1562314757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 939 - 938.6805. What is f rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/67 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*c - 3*t, -c - 4*t + 53 = 38. Suppose 4*x - 36 - 15 = o, c = x + 3*o. Solve -x = 2*i - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-10)*(42\/20)\/(-7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -8 (c) 24 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 335, 278, 167, -16, -289?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -374\/1095 + 3\/365. Let m = 118 - 123. What is the third smallest value in 8, t, m?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -832, -1378, -1922, -2464, -3004?\nAnswer: -3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 641702597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -12965*u**5 - 363007*u**4 - 673816*u**3 + 26138116*u**2 - 67236768*u + 67392 = 0. Calculate u.\nAnswer: -18, 13\/12965, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2568050 to the nearest ten thousand.\nAnswer: 2570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -310*f. Let m(c) = -7*c**2. Determine x(m(z)).\nAnswer: 2170*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g*g)\/g*g**(-21\/4) assuming g is positive.\nAnswer: g**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3835.874 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -15b8a42?\nAnswer: -15b8a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6)*(5 - 2). Let n = 7 + l. Suppose n*m - 25 = -2*m. Let v(c) = c + 4. Let h(q) = 3*q + 9. Determine m*v(z) - 2*h(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 621 - 130. Let u = -307 + s. Suppose r - 3*o - 28 = 0, -5*r + 3*o = -o - u. Calculate the greatest common divisor of r and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**2 + 0*j**2)*(2 - 71*j + 87*j + 1).\nAnswer: 32*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/10 - 12514*k\/5 + 3951182 = 0.\nAnswer: -26518, 1490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 2, -0.67, 349, 0.3?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 7 = -9 - 40. Factor 0*s + 0*s**a + 0 + 0*s**3 + 0*s**2 - 1\/3*s**5.\nAnswer: -s**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2301*c + 2300*c + 9 = 0, -2*c = -8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*k + 56 + 341, 5*a + 1005 = -5*k. Let h = a + 580. Suppose -33 = -y - 5*m + 20, -12 = -4*m. What is the highest common divisor of y and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/4 - 20*z**2 + 80*z.\nAnswer: 5*z*(z - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:26 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(117) + -2*1*sqrt(117))\/(((sqrt(108) - sqrt(108)*1)*3 + sqrt(108))\/((2*sqrt(84))\/sqrt(7))))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2856 and 45\/1496.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/955295 and 31\/764236.\nAnswer: 3821180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, i: 11}. Give prob of picking 3 b and 1 i.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 4*x - 33*x + 1971*x**2 - 1968*x**2 - 3*x.\nAnswer: 3*x**2 - 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 - -173. Calculate the remainder when 129 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611350251?\nAnswer: 7, 89, 369491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16298, -48898, -81498, -114098?\nAnswer: -146698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 4, h: 6}. Give prob of picking 2 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95801562*n**4 - n**3 - 678*n - 147529 wrt n.\nAnswer: 1149618744*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 10092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749911 to the power of 1\/2, to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 2. Let r(j) = -15*j**2 + 9*j - 36. Give 18*g(n) + r(n).\nAnswer: 3*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10*p - 5*p - 37 = 0, 3*p + 35 = -m. Let k = m - -38. Is ((-13)\/(-3))\/(2\/k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(40\/(-96)) - 56*99\/231?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 + 143. Suppose 142 = 4*k + t*w, 0*k - 3*k + 108 = 3*w. Solve 39*z + 10 = k*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 2, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1\/4*0)*(-53)\/106?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-88)\/(-32)*1 - (-16 + (-7376)\/(-64)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 7*x - 10. Let q be c(4). Suppose 5*t - 6 + 222 = 2*a, -5*a - 10 = 0. Let w be t\/(-7) - 12\/42. Solve d + w = -q*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3616019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*n**2 + 2*n**2 - 4)*(-2*n - 8*n - 5 + 0*n) + 0*n**3 - 3*n**3 + 5*n**3.\nAnswer: -18*n**3 - 10*n**2 + 20*n + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(0 - 34\/106) - -3. What is the nearest to -4 in -0.1, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55275\/6700*(-136)\/88*-4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.669943 to 3 dps.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.513117 litres?\nAnswer: 1513.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3369*v**3 - 3*v**2 - 5253*v**3 + 9*v**2 - 6*v**2)*(-3*v + 5*v - 3*v).\nAnswer: 8622*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/3 - (-1)\/3. Let k = 26 - 22. Suppose 0 = a*i - 5*o - 20, -k*i + 2*o + 9 = 1. Which is smaller: -3\/5 or i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 4*s - 2. Suppose -1 = -3*k + 2*v, v + 2 = -0*k + 2*k. Suppose l + 1 = -k. Let y be w(l). What is the greatest common divisor of y and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.299 rounded to 0 dps?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*u**3 - 67*u**2 - 266*u + 2.\nAnswer: 66*u - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -277? (a) 1\/2 (b) -16 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 3 + 12*s)*(1 - 4 + 1)*(45 - 26 - 25).\nAnswer: 144*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgsgrssggfvffrrsgs. Give prob of picking 2 g and 1 s.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y + 10. Suppose -5*c - y*d = 10, -3*d - 11 = c - 5. Suppose c = -2*x + 12 + 44. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13756 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - k + 108, 5*x + 81 = 2*x + 2*k. Suppose 5*n - 1 = 6*n. Let r be x*n\/(3\/1). Calculate the greatest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -38*i**2 - 9*i - 24. Give r(-2).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 2*d - 2*d + (-2 + 2 + d)*(1 - 5 + 2) - 4*d + 2*d + d + 2*d + 3*d - 3*d)*(0 - 5 - 3)*(2*d - 2*d - d) to the form s*d + y + p*d**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -917497, -916882, -916267, -915652?\n\"Answer: 615*n - 918112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 - -18. Let q = o - -137.0000062. Round q to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 1\/2, 2, 2.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10563 (base 14) in base 3?\nAnswer: -2000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2\/1*(-59)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*o**2 - 27*o**2 + 40*o**2)*(0*o**2 + 3*o**2 - 2*o**2) + (-2*o**2 + 0*o + 0*o)*(2*o + 3 - 3)*(21 - 9 + 20)*(o - 3*o + 0*o).\nAnswer: 303*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -15. Let y = -9 - d. Let h = 1 + 2. Solve -y*t + h*n + 7 = -11, -n + 3 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 + 3. Let j be (-3)\/((-15)\/(-12) - 2). Suppose 12 = 4*o - j. Sort o, d, -1.\nAnswer: d, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931052 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 least common multiple of 158 and 5956126?\nAnswer: 5956126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 5:39 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/7524 and -107\/30096.\nAnswer: 30096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 1\/462*q**7 + 0*q**4 - 82*q + 0*q**5 + 0*q**3 + 0 - 1\/165*q**6 + 0*q**2. Factor d(p).\nAnswer: p**4*(p - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/3 - (5 + -3). Suppose w = 6*h - 4*h - 12. What is the third derivative of -h + 6 + 5*l**6 - 3*l**2 wrt l?\nAnswer: 600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*r + 285998*r**3 - 35602*r**3 - 147*r + 75*r.\nAnswer: 250396*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let u(a) = 2*a**2 + 0*a**2 - 4*a**2. What is u(q(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 419771278 and 3518?\nAnswer: 3518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.4, -7, 3, -162, -0.1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itqqqiiwqqqiqqqqq. What is prob of picking 1 i, 1 w, 1 t, and 1 q?\nAnswer: 11\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-110)\/(-15) - (-3)\/(-9). Solve 8*b - t = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, -6, 4, 8 in decreasing order.\nAnswer: 8, 4, -1\/32, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = 3*n, -2*h + 29 = -5*n + 9. Let x = -1 - n. Suppose 0 = -x*s - 4*y + 8, 5*s + 3*y + 8 = 3. What is the smallest value in s, -2, 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 18 = 2*i, -2*t = -3*t + 4*t + 6*i + 54 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19522 - 19411. Calculate the highest common factor of 111 and s.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245.12049 * 0.5\nAnswer: 122.560245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (6 + 6 + (-5 - -8) - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4. Let a(m) = m - 7. Let v(r) = -6*a(r) - 11*n(r). Calculate the lowest common multiple of v(-2) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 64*x**2 + 70*x + 10. Calculate the remainder when z(33) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/3)\/1 + 1972\/(-4). Let t = b - -552. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + -5 + (sqrt(1584) + (1 + sqrt(1584))*4)*-1*3)**2.\nAnswer: 5400*sqrt(11) + 356625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 861583409 to the power of 1\/3, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-7)\/(63\/(-36)). Let b(i) = -i - 9. Give b(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 + 218. Let j = r + -122. What is the greatest common divisor of 24 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/9))\/o)\/o)**(1\/7)\/(o**(-2\/5)\/(o*o*o**6\/o)) assuming o is positive.\nAnswer: o**(328\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4056 divided by 1.\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/51 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5330 divided by 5330.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18907\/(-20) - 12\/4. Let l(k) = 188*k - 7. Let f be l(-5). Let c = f - v. Find the common denominator of c and 19\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 12:08 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160.55 take away -0.1784909?\nAnswer: -2160.3715091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 21*x - 27*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 51. Let i = m + -53\/3. Is i < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44869656?\nAnswer: 2, 3, 13, 143813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4\/4 - 10*r**3 + 105*r**2\/4 - 45*r\/2 = 0. What is r?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (81 - 77) + (4 - 1) + 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5192912*m**3 - 5192992*m**3 + 10385895*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7579968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2017.3 + -1996.3. Sort 3, 30, v, 0.5 in descending order.\nAnswer: 30, v, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 2:09 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 4.5.\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 422 and 2870866.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-98)\/40*63\/(-49). Is 7 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-3)\/((-9)\/(-66)). Let h be t\/(-7)*(-16 + 9). Find the second derivative of 12*x + 4*x**4 - h*x**4 - 2*x**4 wrt x.\nAnswer: -264*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*g - 4*a, 3*g + 3*a + 5 = -7. Let z(f) = 3*f + 2. Give z(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1384*a**2*t**2 + 5350*a**2*x + 2*a*t - 4*t**2*x**2 - 4*t*x**2 wrt t?\nAnswer: 2768*a**2 - 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -9520346?\nAnswer: -9520346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 451, 41, -66 in descending order.\nAnswer: 451, 41, 0, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 29637, 5, -49 in descending order.\nAnswer: 29637, 5, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70701 by -152.\nAnswer: 70701\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332\/(-26726)*1*(-35)\/(-10)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(48*s**3 + 96*s**3 - 18*s**3).\nAnswer: -126*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90666 and 0.2.\nAnswer: 18133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 9*s + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y. Let h be (-2)\/4 + 2\/(-4). Let c be z(h). Let w be (2 - -10) + 3 + -5. Solve 2*x + w = -t, c*t + 22 = -3*x - 5*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - 3*q)*(3 - 2 + 2)*(2*q - 2*q - q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 10*m**2 + 8*m + 2. Let u be q(-8). What is the highest common factor of 44 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*b**4 - 5*b**3 + 754*b**2 + 2194099?\nAnswer: 76*b**3 - 15*b**2 + 1508*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m + 21. Let r = 224 - 235. Let n(s) = s - 4. Give r*n(x) - 2*z(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 - f**2 + 13*f + 3. Let t be b(0). Find u, given that 1\/2*u**2 - 1\/3*u + 0 - 1\/6*u**t = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 6, -2*w - w = -3*u + 21. Suppose -x + 13 = 2*o, 0 = -2*x - 3*o - 13 + 44. Suppose u*q - x = 32. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3371 + 5*m**4 + 45*m**3 - 3366 - 6*m**4 - 39*m wrt m?\nAnswer: -12*m**2 + 270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17776288 a multiple of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**5 - 12*w - 2*w**2 + 12*w + (8 - 11 - 5*w**4 + w**4)*(7*w + 5 - 5).\nAnswer: -36*w**5 - 2*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 756.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = 401 - 384. What is the nearest to z in 0.3, 72, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1714504773 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90 - 12*v - 90 + (2 - 2 - 2)*(0*v - 2*v + v))*((v - v - v)*(3 + 2 - 3) - v + 4*v + 2*v) to o + n*v**2 + f*v and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88688 = 19*f - 42*f. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - v - 12 = 0, -s + 0 + 7 = -v. Suppose 3*q + q - 195 = 3*m, -s*q = 5*m - 270. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 5 (c) 2\/5 (d) -187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -133322?\nAnswer: 1733186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*n = -256*n + 69984. Let r = -183674\/21 - n. Calculate the common denominator of r and (73\/4)\/(2\/(-4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g + 7. Let r(j) be the second derivative of -j**3\/6 + j**2 + 4*j. What is -14*r(i) + 4*t(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 + 9 = 0. Let m = 6 - l. Put 5, m, 4 in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558212520 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951347001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(232\/(-48))*3\/(-30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/((-42)\/448).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24209207 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from huvhhvuguvxbb.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52143 and 44694?\nAnswer: 312858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.016+-68.32\nAnswer: -68.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*((-22)\/4 + 4). Suppose -5*d = -b*d. Solve d*o = o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 5, -7, -137 in decreasing order.\nAnswer: 20, 5, -7, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*h + 38 = -74, -2*d - h + 63 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 747, 13, 0, 3, -3, -2, -4.\nAnswer: -4, -3, -2, 0, 3, 13, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 20*u**2 - 7*u - 26. Let s = -544 - -563. Let f be n(s). Round f to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*x - 5*o, -3*x + o + 0 = -1. Suppose -5*q + x*k = -133, 0 = -5*q + 5*k - k + 141. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -135, -2, -88, 3, 0, -6 in decreasing order.\nAnswer: 4, 3, 0, -2, -6, -88, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 157, -3, 5, 3\/4, -3\/181?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z - 3 = -55*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -641*l**3 - 261*l - 912868.\nAnswer: -1923*l**2 - 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (10629*u - 2 - 10426*u + 18)*(-5 + 2*u + 5) in the form n + k*u + m*u**2 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 436895?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1852, 4794, 8824, 13942?\n\"Answer: 544*z**2 + 1310*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2908539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 178523 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281696.\nAnswer: 2, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.9 - 12. Let h = p + 1. Let l = 4 - 9. What is the second biggest value in 5, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, -8, 5 in decreasing order.\nAnswer: 5, -4, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.09 + -0.09. Let h(p) = p**2 + 1. Let j be h(1). What is the closest to j in -0.2, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187869552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3a?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24187 + 43758. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 6 = -5 + 34 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmaa when four letters picked without replacement from mayawawamywmamawyyys?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0 = -8, 2*v - 6 = -2*y. Suppose 2*u - 3 = -z - 1, 5*z = -2*u + 18. Solve -y*p = 5*m - 20, -z*p = -2*p + 5*m - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6300) - (sqrt(6300) + (sqrt(6300) - sqrt(6300)*-1) + sqrt(6300) + sqrt(6300)))\/((2*sqrt(576) - sqrt(576) - sqrt(576)) + sqrt(576)) + 5)**2.\nAnswer: -50*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (2*sqrt(396) + sqrt(44))) + sqrt(6336)*-2 + sqrt(6336))\/((-3*sqrt(84)\/sqrt(3))\/sqrt(7)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 15. Suppose -20 = 10*w - m*w. Solve 0 = -p - 5*y + 23, -4*p + w*y + 11 - 44 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhx when three letters picked without replacement from {h: 4, x: 11, g: 4}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 14. Let w be z(8). Solve -6*l = -l + w*h - 31, 0 = -5*h + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2989293 is divided by 274.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 - 14*w - 9. Let k be n(8). Let q(z) = -z**3 + 2*z**2 + 2. Let o(h) = 3*h**3 - 7*h**2 - 7. Calculate k*q(r) + 2*o(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, 4, -1.012, 10, 1, -29 in increasing order.\nAnswer: -29, -1.012, 0, 3\/4, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 12. Let s(o) = -9*o + 21. Let h(t) = 7*b(t) - 4*s(t). Let l(i) = 88*i. Determine h(l(p)).\nAnswer: 88*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 + (-699)\/(-12). Suppose 0 = 3*k - p + 32, -5*k + p + 3*p - h = 0. Let v be 14\/k - 2\/(-5). Is 1\/5 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 - 4*t**2 + 2*t + 4. Give n(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 1:46 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3\/2*o**4 - 15\/2*o**2 + 0*o**3 + 6 + 0*o = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 u, and 1 c when four letters picked without replacement from xjjununxccncpnnp.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73\/4? (a) 1\/2 (b) -2 (c) -1597 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -s + 6*s - 98, -3*j + 5*s - 294 = 0. Let q = 106 + j. Solve 4*u - q = 2*v, 2*u + v - 1 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 7:53 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from copbfpfbscff. Give prob of sequence fb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(66) + (-1*sqrt(66) + sqrt(66))*3 + sqrt(66)))\/(-2*sqrt(294)*-4) + -5.\nAnswer: -5 + 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - 2*c + 1. What is the remainder when 122 is divided by q(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -12. Let j be (0 + 24)*680\/(-320)*(-2)\/17. Solve -c*v + 2*v - j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 7*a**2 - 3*a**2 - 5*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f - 4*j - 18971996, 3*f + 5*j = -14228995. Round f to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -2386629114307?\nAnswer: 2386629114302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -261 - -277. Suppose -4*u + o = 0, 3*c - 2513 + 244 = -4*u. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.02 (b) 0 (c) -410 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(((x\/x**34)\/x)\/x))*x**(-36) assuming x is positive.\nAnswer: x**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 - 37*y + 25. Let r be g(-13). Are r and -21\/449 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00124598 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s - 5 - s**3 + 2 + 8*s**2 - 6*s. Let u = 5 - -2. What is the units digit of r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58995668 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/35 + (-1334810)\/(-70) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b - 64*b + 2132 = 52*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 505 + -536. Is s < -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -1\/8*t**4 + 0*t - 2\/3*t**3 + 0 - 3*t**2. What is the remainder when z(-6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -855, -1712, -2571, -3432, -4295, -5160, -6027?\nAnswer: -6896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54783 divided by 6087?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.819679 rounded to zero decimal places?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 255 (base 7) to base 16\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 2*u + 7. Let k be v(5). Suppose 2*p + 4*t - 55 = -p, 4*p = t + k. Calculate the remainder when 31 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let u(q) = -360*q + 18. Let b(p) = 2*g(p) - u(p). Let w be b(5). Suppose -9*a + w = -1439. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 + -2)\/(-1))\/(-3). Let y be (-2)\/7 - 46\/(-14). Solve g = -y*l - l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(275) + 1).\nAnswer: 2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 p, and 1 o when four letters picked without replacement from vvvodvvpovpmdovo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2696 + 2696 + -12 + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-5236)*-17)\/(9\/4).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233402874 a multiple of 501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = 2*t - 316. Calculate the remainder when 70 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -4*p - 70. Suppose 5*b - 470 - 510 = p*v, -2*b + 5*v + 380 = 0. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4391 = 18*j - 4013 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:11 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12, 1\/6, -1, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5*k + 40 = 0, 4*k = -5*a - 9 - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*b**3 - 211*b**3 - 189*b**3.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 451126824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-15)*(-1 - 21\/(-6)). Let b be (2\/n)\/((-210)\/(-36) + -6). Is 19 a factor of (15004\/(-16))\/(-11) - b\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1143 - 1142. Let n = 1 - 1. Let v = -0.4 + 0.3. What is the nearest to n in m, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160261161217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*p = -11, 2*b + 5*p + 4 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 93*s**2 + 5699*s**3 - 5697*s**3 + 6 to the form c*s**3 + g*s + x*s**2 + k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -524883, 14, -7 in increasing order.\nAnswer: -524883, -7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*g = -436*g + 4*a - 10681, 4*g + 5*a - 42702 = 0. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + 63. Let k = -126.99 + l. Let t = -0.39 - k. Is t at most as big as -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(51176\/179312 + (-4)\/14). Is 0 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-3)*2\/6. Let y be (3 + -1*15)*j. Solve -3*q = -a - y, 2 = -4*a - 5*q + 22 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -605 = -664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - u - 2 - 19 = 0, -4*z = -3*u + 32. Let i(v) = v**3 + 4*v**2 - 5*v + 12. Does 2 divide i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225 - -221. Sort 2, q, -28 in decreasing order.\nAnswer: 2, q, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4\/5 - 45383*a**3\/5 + 408717*a**2 - 6132105*a + 30663900 = 0.\nAnswer: -45428, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-444)\/96)\/(-43 - (-459126)\/10672)?\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19133 is divided by 1995.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -20*a**2 + 14. Let b(c) = 676*c. Calculate b(p(k)).\nAnswer: -13520*k**2 + 9464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -a1726?\nAnswer: a1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 476 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 5*g + 291. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + 0 + (sqrt(300)*1 - sqrt(300)) + 6*(sqrt(300)*1 + sqrt(300) + sqrt(300)) + 5*(sqrt(300) + 0) + sqrt(300)*2*6)**2.\nAnswer: 2800*sqrt(3) + 367518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3\/8 + 585*p**2\/2 + 449199*p\/8 - 1390041\/4 = 0.\nAnswer: -393, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1690, -3391, -5092?\nAnswer: -6793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 7*o + 2. Let t be l(-5). Let w = -3 - t. Suppose 0 = -7*b + 2*b + w. Solve 5*p = b*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*y - 20, 22 = -y - 41*t + 30*t for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298902581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 419 = 3. Let r = p + 50. Calculate the least common multiple of 1 and -2*(0 + (-5 - r)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - 2*p**2 + (1 + 1 - 4)*(0*p**2 + 0*p**2 + p**2) + 3 - 3 - 2*p**2 + (0 + 0 + 2*p)*(p - 2*p - p))*(3*p + p**2 - 3*p).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -42673.49 to the nearest 100.\nAnswer: -42700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 6*t**2 - 9133*t**3 + 18298*t**3 - 9140*t**3.\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5606 - 5602. What is the second smallest value in 33, 12, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-5 + 15 - 20) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11888153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1 + (7 - -13). Let d be ((-32)\/6)\/(2\/(-6)). Suppose -178 + d = -b. Calculate the greatest common factor of b and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 40. Let i be ((-6)\/d)\/(3\/18). What is the greatest common factor of 99 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 2, i: 10, b: 3}. What is prob of sequence ii?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-5))\/(-10)*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:14 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 240, 2, 1, -2 in ascending order.\nAnswer: -2, 1, 2, 12, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a = 27*a - 4*m - 40, -2*a + 3*m = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21979480 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -219 (b) 53 (c) 2 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.15 - 1.45. What is the nearest to 1\/2 in 1\/15, 5, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124123411 divided by 4.\nAnswer: -124123411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k + 7. Let z be r(7). What are the prime factors of (-2)\/11 + z\/11?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19872 - 13999. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -767285408*h*r**3 - 22*h*r**2 + 99*r**2 - 14729*r wrt r.\nAnswer: -4603712448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1902472 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**2\/2 + 1495*m. Let d(i) = 11*i**2 + 44. Determine -d(w) + 44*p(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -49936\nAnswer: -199744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -374\/9, -1\/3, -5, -3, -52?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 3*j**4 + 50*j + 277 - 14*j - 522 - 10*j**3 - 6*j**2 + 272.\nAnswer: 3*(j - 3)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 1, c: 2, y: 2, h: 1, f: 1}. What is prob of picking 2 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + 0?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*n - 102465 = 171*n - 709*n for n.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0981 (b) 15 (c) 30 (d) -9 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -333.9 + 334.4. Which is the second biggest value? (a) -1\/8 (b) -2\/59 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*y - 11, -9*y = p - 12*y - 10. Solve -5*i - 5*r + 26 - p = 0, 3*i + 2*r = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 65*t - 109*t + 170*t + 12.\nAnswer: -4*t - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 6*z**2 + 5*z + 1. Let x(m) = -2*m**2 - 3*m - 2. Let r be x(-2). Calculate y(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*g - 7*g + 73 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2897747 (base 10) to base 15.\nAnswer: 3c38d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -527 + -160?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/19 (b) 1\/8 (c) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 157*h - 7397. Calculate d(38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 9*r**2 + 4*r + 8. Let n(m) = 2*m**3 - 19*m**2 - 9*m - 17. Let q(u) = -13*k(u) - 6*n(u). Give q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*y + 2880004 = 0, -4*c + y = -949315 - 4810686. Round c to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1005 + 1005 + 15*h**2 + (12*h - 14*h + 51 + 4*h)*(h - h + h) to z*h + i*h**2 + p and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -491.85 - -493. Put k, -0.5, 2\/3 in descending order.\nAnswer: k, 2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 4:41 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38283 - 20567. List the prime factors of v.\nAnswer: 2, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -56*k. What is f(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000469810239 to 5 decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 58, -9, -0.4 in ascending order.\nAnswer: -9, -0.4, 0.02, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139620 = 151*y - 166*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -5, -4.\nAnswer: -5, -4, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a centimeter in millimeters?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/30 and 61\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 7*z - 1. Let x be i(-7). Let l(g) be the first derivative of 0*g - 2\/3*g**3 - 1\/2*g**2 + 4. What is l(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 16. Let n be (-20)\/(-6)*6\/4. Let t(c) = -n*c - 11 - c + 3*c. Let u(i) = i + 4. Give p*t(z) - 17*u(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = n + 1, 6 = 3*n. Suppose -9 + x = -2*q - 4*s, -5*q = 2*s - 52. Let u(j) = j**3 + 5*j - q*j + j + 5*j**2. What is u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffeffeff. Give prob of picking 3 f.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7*y = 126, 5*h + y - 22 = 77. What is the remainder when 1889 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-648)\/(-180)*(-430)\/4. Let i = t - -382. What is the second smallest value in i, -1\/6, 9\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jokojkukokiofojkj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 5) in base 6?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761904981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4 + 6. Suppose 4*m - 8 = 0, -y*d = -4*m - 0*m - 2. Factor 7*b - 2*b**d + 8*b - 19*b - 2.\nAnswer: -2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 8 = n. Let d(c) = c**2 + 2*c + 3. Let r be d(n). Suppose -75 = -r*k + 6. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 5937920*k\/3 + 4407361740800\/3.\nAnswer: 2*(k - 1484480)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 1. Let g = 0 - y. Factor 2*h**g + 2*h**3 - 3*h**3 - h**3.\nAnswer: -2*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 14, 4, 415, -78.\nAnswer: -78, -5, 1, 4, 14, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*k + 450 = 462*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47477 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -9. Let g be (-1)\/(-2) - (-27)\/6. Let x = g + l. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 23407287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**11*c**(-10) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-6 + 7)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294089079?\nAnswer: 3, 98029693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2596\/1534)\/(14\/364)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -117\/11 > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 197, 199, 201, 203?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 6*k**2 - k + k**2 + 1 + 5*k**2 + 73*k**3 to the form q + w*k**3 + o*k + l*k**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + -1.47. Round n to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*b**3 + 28*b**2 - 28*b**2 - 4*b**3 + 3*b**3 - 3*b**3 + (-4 - b**2 + 4)*(-3*b + 3*b - 2*b).\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**2 - 2. Let v be y(-2). Let z = -113\/3 - v. Which is the nearest to z? (a) -4\/3 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3287371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**3 - b**3)*(-2 - 3 - 1).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 - (-9 - 1). Suppose f = -1, 5*k - 4*f - r = 3*k. Suppose y + k = 3*y + 4*g, 4 = y + g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:44 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.35 - -18.35. Suppose -i - 1 - 2 = 0. Which is the biggest value? (a) -0.1 (b) 1\/3 (c) v (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.192 + -6.192. What is the second smallest value in 0.046, -1\/2, 3, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 6*k**2 + 3*k + 16. What is s(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from bnfzn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/14)\/(42\/(-96)*38\/133)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 plus 822?\nAnswer: 822.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -0.1067387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-200)*23\/(-46)*(-15)\/(-4).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/245 - 941\/28420. Let p = 31\/232 + i. What is the nearest to 0 in 0, p, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + 4.9. Let j = -1.1 + i. Let o = -31\/6 + 143\/30. Which is the biggest value? (a) o (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrqqqrrlkklleekllql. Give prob of sequence elq.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 - 8. Let p(q) = -3*q**2 + 4*q**2 + 1 + q**2 - 3*q**2. Let o(g) = g**2 + 10*g - 5. Let m be o(-11). Calculate m*p(u) + a(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 25*z**2 + 56*z + 54. Let j be a(-27). Let v(f) = -f**2 + 6*f + 3. Let s be v(6). Put 2, j, s, -1 in ascending order.\nAnswer: -1, j, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 8:57 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irairtiiiiiuim. What is prob of sequence rma?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105.814 + 88.03. What is z rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*g - 100, -48 = -19748*g + 19746*g - l for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0 + 2 - 3)*(6 - 4*j**2 - 6).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003939106 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -166.4074052 - -196.\nAnswer: 29.5925948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000000001010 (base 2) in base 9?\nAnswer: -36647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 14 = 5*n - 0*f, -3*n + 4*f - 5 = 0. Let d be 10105 + n\/3 + -4. What is d rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -29. Calculate the greatest common factor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n - 5*i = -54*n - 0*n - 10, -67*n - 2*i + 329 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 + 901. Is w a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 516201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.233 + 0.033. Let p be -5 - (0 + 3 - 3). Which is the smallest value? (a) z (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 3*g + 4*g + (3 + 0 + 2)*(7*g - 8*g - 6 + 3*g) + (1 + 2*g - 1)*(4 - 12 - 5) as p + a*g and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*g, 3*t - 2*t = 5*g + 31. List the prime factors of (-4778)\/(-14) - t\/21.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 5, v: 4, q: 5, o: 3}. What is prob of sequence qv?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 2. Let j be o(-3). Let t(n) = n**3 - 6*n**2 + 5*n - 3. Let c be t(5). List the prime factors of (j + 0)*9\/c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 26*d**3 - 44*d**2 + 6955*d. Let s(h) = -h**3 + h**2 + 6*h. Let x(n) = -m(n) - 5*s(n). What is the second derivative of x(j) wrt j?\nAnswer: -126*j + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -0.08.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 3*a**4\/4 + a**3\/6 + 2*a. What is the units digit of y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 3940418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12750 + -12749.6. Sort u, 1, -2, 18.\nAnswer: -2, u, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 + 35105*p**4 + 105225*p**3 - 315785*p**2 + 175450*p = 0.\nAnswer: -7018, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1, 3\/4 in decreasing order.\nAnswer: 3\/4, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 - 304*x**3 + 148*x**3 + 3 - 21*x**4 + 156*x**3 - 1 to h*x**2 + c*x**4 + t*x + s*x**3 + p and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l**3 + 8*l**2 + 14*l + 14. Let h(x) = -2*x**3 + 3*x**2 + 5*x + 5. Let v = 0 + 34. Let y be ((-40)\/6)\/(2\/6). Let a = y + v. Give a*h(i) - 5*j(i).\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25121330.\nAnswer: 2, 5, 13, 173, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssdsddds. What is prob of picking 2 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-14)\/63)\/((-452)\/(-339))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144726 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = -3*t + 2, 5*t - 4*c = -25. Let j(f) = -2*f + 6. Let a be j(4). Suppose g + 16 = -3*g. Put a, g, t in increasing order.\nAnswer: g, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 - 7*k - 24. Let r be i(-4). Suppose -14*z - 2 = -15*z. Factor 0*m + z*m**3 + 8\/5*m**r + 0 + 2\/5*m**2.\nAnswer: 2*m**2*(m + 1)*(4*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9037, 36294, 81735, 145360, 227169, 327162, 445339?\nAnswer: 581700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 80. Let d(x) = -3*x - 120. Let q(v) = 5*d(v) - 8*p(v). What is the remainder when q(3) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -22. Calculate the remainder when 43 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 202 - 33. Suppose -487 = -n - 2*n + 2*w, -2*w = -n + l. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 9363*s**2\/4 + 9365*s\/2.\nAnswer: -s*(s - 2)*(s + 9365)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/35*814\/(-4). Let a = 58 + i. Sort -1\/2, 5, a in descending order.\nAnswer: 5, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s - 2. Let q be c(4). Is 31 a factor of (-1 - q)*(-16 - 15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**3\/3 - 11*m**2\/2 - 8. Let d be i(11). Solve d*v + v = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2506 + -2498. Solve 0 = -5*m - 5*k + 30, i*m - 10 = 3*m - k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/4575 != 9.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28408771 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11843209*y - 11843218*y + 129 = -r, 3*r + 5*y - 61 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 187.4 (b) -4\/3 (c) 4 (d) -578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/28, 2\/3, 87, 2, -0.04 in descending order.\nAnswer: 87, 2, 2\/3, -0.04, -3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-7))\/m)\/((m*((m**(4\/9)*m)\/m)\/m)\/m))**(2\/27)*(((m\/((m\/m**(1\/2))\/m))\/m*m)\/m**(-2))**41 assuming m is positive.\nAnswer: m**(70013\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/8*-16)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 914*m + 2344 - 22369 - 12879 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/343*(4 - 9 - 2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14877140 and 120?\nAnswer: 89262840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11213700 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 636, 2161, 4700, 8253, 12820, 18401, 24996?\n\"Answer: 507*x**2 + 4*x + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 0. Suppose 5*m + a = 6*m - 13, l = -2*m + 4*a + 34. Suppose -10*i + 10 = -m*i. What is the highest common divisor of i and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52734 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 855 + -12?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2\/3 + 1340*n - 1891018\/3 = 0.\nAnswer: 751, 1259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11223200 - 11?\nAnswer: 11223123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 12*t + 2. Determine l(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*w - 491 = -0*w, -4*k + w = -397. Suppose -4*a + 88 = -4*l, 0*l + k = 5*a - 3*l. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100002312112 - 101?\nAnswer: -100002312213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9002)\/(-35) + 1\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 987.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 + 40*m**3 - 20*m**2 - 160*m = 0 for m.\nAnswer: -8, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n + 60. Let c = n + -4. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-1 + 2 - 1) + 974 + -969.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120428152 by -130052.\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-12) - (-1)\/2. Let i be (-2 - -23)*(3 + v). Calculate the greatest common factor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - 10 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + ((-780)\/(-7) - (-8)\/14) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 38*l**3 + 5*l**2 - 6*l + 1. Let u(p) = -p**3 - p**2 + p. Let t(j) = -c(j) - 6*u(j). What is the units digit of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3404*m - 2. Let i(y) = -82*y - 69. Let w(d) = 50*d + 42. Let b(q) = 14*i(q) + 23*w(q). What is s(b(z))?\nAnswer: 6808*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 4621 = -1619. Calculate the lowest common multiple of z and 16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22371 is divided by 10984.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5335169?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3962*v + 7424 = -3706*v for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -307186286.\nAnswer: -307186285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**28\/(s\/(s\/s**(-29))*s))**29)**(-1\/17) assuming s is positive.\nAnswer: s**(-1624\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5875, 23924, 54001, 96106, 150239, 216400, 294589?\nAnswer: 384806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 29 = -0*f + 3*x, 0 = -x. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/127 + -3167\/254. Let g = v + 221\/18. Is g >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -8*d**7\/315 - 7*d**6\/90 - 2*d**5\/45 + d**4\/18 + 11*d**2. Factor o(x).\nAnswer: -4*x*(x + 1)**2*(4*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2049588 and -2049583 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1749?\nAnswer: -1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 927070931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n**2 + 17. Let l(z) be the first derivative of -8*z**3\/3 - 6*z + 6. Determine 6*d(b) + 17*l(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/20*-4*5. Let f(a) = -6*a - 1. Let k be (-4)\/(-14) - (-18)\/(-14). Let u be f(k). Solve 10 = -2*y, l = -2*t - 3*y - u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3052.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6\/(-4)*(-260)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/13*(-10)\/(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1254700 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1364 = 4*c - 8336, 0 = -3*c + 2*w + 7252. Does 121 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 - 568*p + 1707. Let b be m(3). What is the nearest to 0 in 5, 21, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -7*a. Suppose a = -21*o + 7*o + 133280000. What is o rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734782.6 tonnes to kilograms.\nAnswer: 734782600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*d*n**4 - 2*d*n**3 + 33109*d*n**2 - n**4 - 19*n**3 wrt n?\nAnswer: 528*d*n - 12*d - 24*n - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 6*m - 4. Let v be d(9). Suppose -19*x = -8*x. Suppose 2*t + 6*t - v = x. What is the remainder when 36 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -48*p + 93. Let w be t(32). Let l = -8677\/6 - w. Find the common denominator of 56\/9 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.162 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -11. Suppose 1802 = 5*o - b*a, -3*a + 1098 = -3*o + 6*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/574 + 609\/123. Solve g - 3 + 5 = z*x, 10 = -5*g - x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3452936804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2, 5*i - 20 = 3*i + d. Let j = 15 - i. Calculate the smallest common multiple of j and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5, -x = -2*x - 5*y + 27. Suppose 3*i = -5*u + 5932, 0 = x*u - 6*u + 3*i + 4751. List the prime factors of u.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5736605*c + 32 + 5736603*c - 8.\nAnswer: -2*c + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*sqrt(6)\/sqrt(2) + 5*(sqrt(12))**2.\nAnswer: 6*sqrt(3) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 2. Let p = 38506 - 38500. Suppose 4*a - 7 = -4*i - 31, -7 = a + 2*i. Let f(k) = -4*k - 2. Calculate a*o(c) + p*f(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4296 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -42 - 42 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 6 + -16 - (40 - 44) - (-5 + 1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3901 + 3900.6. What is the closest to -1.6 in i, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 192. Let v(o) = -o**3 + o + 1. Suppose 24 = m + 5*r - 2, 2*m + 4*r - 22 = 0. Let q(j) = -5*j**3 - 2*j**2 + 4*j + 7. Give h*v(d) + m*q(d).\nAnswer: -d**3 - 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.2899 minus 0.5?\nAnswer: -51.7899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 415\/(-83)*-2*2683\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + b)*(-5788 + 5*b - 2*b + 5755).\nAnswer: 6*b**2 - 66*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/359 (b) -2 (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 40. Let z be o(-21). Suppose -3 = -2*v + v. Suppose v*x = 4 + z. Put x, -5, 3 in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8019 by 243.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-306)\/21*(-14)\/21. Let o = m + -977\/84. Find the common denominator of o and 121\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q + 4 = 0, 0 = -g - 4*q - 12. Let y be -6*(-4)\/48*6. Suppose 3*j = -5*s - y, 4*s + 4*j = 7*j + 3. Solve s = -g*z + 16, -z + 0*z = 3*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 18 = 32. Calculate the remainder when 53 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 9) to base 12\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 + -557\/4. Let c(m) be the first derivative of -a*m**4 + 3\/5*m**5 - 1\/6*m**6 + 1\/3*m**3 - 3 + 0*m**2 + 0*m. Factor c(w).\nAnswer: -w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52691.999972641 + 52692. What is f rounded to 7 decimal places?\nAnswer: 0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(-6*(-5)\/45).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 5, w: 2}. What is prob of sequence wl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101000011100010011100101?\nAnswer: 101000011100010011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 44946 - 43*g - 44971 - 18*g. Let c be i(31). Let z(q) = 11*q - 9. Let t(x) = 4*x - 3. Determine c*z(p) - 17*t(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23141633 + -0.5.\nAnswer: 23141632.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 36*l + v + 11, 4*l = -2*v + 20. Sort -5, -8, -2, l in decreasing order.\nAnswer: l, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(891) + -3 + -5) + -2.\nAnswer: -18*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 2*j + 2. Let o be s(-1). Suppose 2*w - o = -5*t, -6*t = -2*t. Is (-52)\/(-1) - w\/2 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -199, -444, -795, -1258, -1839, -2544, -3379?\nAnswer: -4350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-4)\/(-16)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(102))\/(sqrt(24)\/sqrt(4)*6))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(24)\/sqrt(2)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and -2 - 22\/12 - (-6 + 7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63690*a**4 + 6*a**2 - 11878266 wrt a?\nAnswer: -254760*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101200 and 2875.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1 + sqrt(6292) + -4)*5)**2 + 2).\nAnswer: -315054 + 6600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = y + 4*w - 4, -3*y - 21 = 3*w for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(3 + 50\/(-17)). Let l be (-2 - 1) + u + -1. Let v be (-6)\/14 - l\/378. Is v equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -36, -71, -118, -177, -248, -331?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 15 - 8)*(0 - 2 - 2) - 3 - 4 + 1 + 3 + 4 - 6 + (3 + 0 - 2)*(-4 + 0 + 2) - 1 - 1 + 4)*(-y**3 - y + y).\nAnswer: -79*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 371280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 469*j - 5943. What is the lowest common multiple of 364 and s(15)?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33092479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*q = -220, -5*q - 3 = -23. Suppose y*s + 60 = 45*s. Find the third derivative of 67*d**4 - s*d**2 - 76*d**4 - 15*d**2 wrt d.\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 0*u. Let w(t) be the first derivative of u*t + 0*t**2 - 3 - 1\/3*t**3 + 3\/5*t**5 + 0*t**4. Find the third derivative of w(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/201 and 61\/9920034.\nAnswer: 664642278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 38 = 2*p, -3*p - 2*p = 4*s - 3. Let f(m) = m - 5. Let j be f(s). Solve -4*n = j*c - 4, 0*c + 2 = -2*c - n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 440*r**3 + 4870*r**2 + 440*r - 4875 = 0. What is r?\nAnswer: -1, 1, 13, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57541, 57658, 57773, 57886, 57997?\nAnswer: 58106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156 - 249 + 8*n - 40 + 49 + 156*n wrt n.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -700\/9 + 697\/9. Let v = 295\/1206 - 3\/134. Which is the nearest to 4? (a) g (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2*x**2*y + 43*m**2*y - 47*m*x**3 - 3*x**3 + x**2*y - x**2 + 3143*y wrt m?\nAnswer: -4*m*x**2*y + 86*m*y - 47*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 + -193. Let x(h) = -h**3 - 4*h**2 + 6*h + 6. Let b be x(-5). Let o = 1 + b. Put o, -2\/7, k in ascending order.\nAnswer: k, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:36 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*y + 0*y - 1507 = -10*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187486175 and 6625?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52653224 (base 8) in base 3?\nAnswer: 210010111001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 plus -0.45?\nAnswer: 16.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 11*j**2 + 32*j - 37. Let w be f(7). Sort 5, w, 35.\nAnswer: w, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 - 74 - (-1 + 3 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/26290 and 127\/26290?\nAnswer: 26290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555 divided by 5?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18737, 77, 18 in increasing order.\nAnswer: -3, 18, 77, 18737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -5*o + 548, -540 = -5*o + 5*k. Suppose -7*g + 0*g + o = 0. Calculate the remainder when 59 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 89. Let i(j) = -j + 30. Let o(p) = 11*i(p) - 4*u(p). Let h(v) = 84738 - 84738 + 2*v. Determine o(h(t)).\nAnswer: -6*t - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 11*c + 715. Let p = 155 + c. Let v(f) = -12*f - 2. Calculate the remainder when v(-2) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 36. Let d be j(-17). Let m be 1\/(-4) - (-27464)\/d. Suppose 2*t = 5*f + 4*t - m, -2*f + 3*t + 347 = 0. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 89. List the prime factors of m.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -28*d + 65. List the prime factors of v(-10).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 = -5*s, 13 = -3*v - 4*s - 6. What is the units digit of v\/((-4)\/88 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/8 of a millennium?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537697 is divided by 71.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 - 594 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:05 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-201)\/134)\/(2\/((-60)\/9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (-1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(0 - 2)*-8. Let j = -8 + l. Suppose 4*h = -4*f - 24, f + 12 = -7*h + 4*h. Put 0, h, j in increasing order.\nAnswer: j, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/60 + 5*j**4\/6 + 55*j**3\/3 - 229*j**2. Let n be s(-9). Solve -n = 13*h - 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a factor of 135129279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.3 (b) -0.035 (c) -0.15 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 - 50. What is the remainder when 19 is divided by z\/370 - ((-59)\/5 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 4. Let j = 306 + -369. Let l = j + 129. What is the greatest common divisor of l and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6\/4)\/((-5)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204081199?\nAnswer: 3, 647, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002.921 years to decades.\nAnswer: 200.2921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/30558 and -73\/308.\nAnswer: 427812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2 - (-16 + 15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80206387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -188028.28143 plus -2334?\nAnswer: -190362.28143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 + -60. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1122 and 17?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1\/27*w**3 - 1\/90*w**5 - 1\/27*w**4 + 0*w**2 + 1 - 2*w. Let x(y) be the first derivative of l(y). What is s in x(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20451733349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1197*l**2 + 288*l**2 + 1587*l**3 + 144*l**3 - 436*l**3 wrt l.\nAnswer: 7770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/22510 and -71\/18.\nAnswer: 202590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 - 4. Let u(r) be the second derivative of 0 + 1\/3*r**4 - 240*r + 17\/2*r**2 + 0*r**3 - 1\/5*r**5. Give 9*m(o) + 2*u(o).\nAnswer: o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 338001659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 164?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - 10. Suppose -f = -6 - u. Calculate the remainder when 34 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 99343.48kg?\nAnswer: 99343480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060624903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*h = 81*h + 256. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 + 8*o + 11. Let z be a(-7). Solve 6*y + 4 = z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ed + 3c951?\nAnswer: 3ca3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t. Let k(z) = 1 - 546*z**2 + 282*z**2 + 267*z**2. What is k(y(p))?\nAnswer: 12*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**4 + h**2*o + 46829*h*s + 20474*o*s - 21*s wrt h?\nAnswer: -4*h**3 + 2*h*o + 46829*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817240 divided by -3?\nAnswer: -1817240\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 18185 = 9970. List the prime factors of c.\nAnswer: 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -3.4, -1\/3, 24, -8.5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let r(n) = -3*n**2 + n - 1. Let o(z) = -i(z) + r(z). Let f(j) = -5*j**2. Give f(o(h)).\nAnswer: -45*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*r - 0*r + 1708, 5*q - 329 = -r. Suppose r = 4*b + 4*i, -4*b + 0*i + 314 = -2*i. What is the remainder when b is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 2842?\nAnswer: 11368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/35, -0.1, 925, 104?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.7344224 to 1 decimal place.\nAnswer: -18.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**3 - 4*f + 2. Let g be y(1). Let i(b) = -3*b + 8. Determine i(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 * 2437\nAnswer: 236389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 4. Let o be l(0). Suppose -o*x + 93 = 3*n, -3*x + 43 = -n - 30. Are 26 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 13*f**2 - 10*f + 6. Give j(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 minus -1119?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/53332 and 87\/16318.\nAnswer: 2186612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 151713 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i - 7*i)*(-i**3 + 0*i + 0*i) + (-3*i - 2*i + 3*i)*(2*i - 2*i + 2*i**3) + 0*i**4 - i**4 + 2*i**4.\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, j: 2}. What is prob of sequence pp?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 4*x**5\/25 - 3*x**4\/10 + 2*x**3\/15 + 5. Let d(w) = 0. Calculate w.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (0 + 0)\/(-1 - 1). Let i = 918 - 4549\/5. What is the common denominator of (o\/50)\/((-16)\/1220) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 + 7*x**4\/24 - 2*x**3\/3 - 3*x**2 - 11*x. Let f = -9 + -1. What are the prime factors of i(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4\/3, 0.2, -0.15 in decreasing order.\nAnswer: 0.2, -0.15, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from ylarawq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 2*k**3 - k**3)*(-2*k + 2*k + 2 - 3*k).\nAnswer: -9*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3130 (base 6) to base 10\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*r + 111*r - 18144. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 7. Let k be 2 - 1\/1*(0 - 3). Determine o(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 12. Give a(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.02 (b) 91\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4243621433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)*-6)\/(sqrt(12) + sqrt(432)*-2) - (sqrt(220)\/sqrt(99))\/(sqrt(110)\/(sqrt(11)*-1)).\nAnswer: 47*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67477819093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*k + 15*k - 21*k)*(-1 + 1 + 11)*(1 + 1 - 1).\nAnswer: 429*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -3202?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (11 - 1) - (11470 - 11478) - -38.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359682461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 15*x + 4. What is i(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**5\/5 - 7*i**3\/6 + 9*i. Let v(c) be the second derivative of s(c). Let r(o) = o + 6*o - 8*o. Calculate r(v(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q - 23*q = -12*q - 80*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 - 4979*n**3 + 2485*n**3 + 2*n - 151 + 2492*n**3 + (-n + 2 - 2)*(0 - n**2 + 0).\nAnswer: -n**3 - n**2 + 2*n - 151","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = -3*z + 5*m, 0 = -3*m. Let n = -676 + 1160. Suppose -477 = -7*y - n. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (596\/10)\/((-4)\/(-10)). Suppose s*m = 143*m + 2532. What is the remainder when m is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*(-3)\/6)\/1. Does 9 divide 15 - 9\/(-2 + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -4.9. Let k = -0.12 - 0.28. Which is the closest to 1\/2? (a) k (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmsguuumuxsuymm. Give prob of picking 1 x and 1 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 7:58 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 2, a: 3, l: 2, v: 1}. What is prob of sequence wwdl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 47*o + 143. Give p(44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*z**2 + 225*z**2 + 35*z**2 - 108*z**2 + 191*z**2)*(10 + 16 + 9).\nAnswer: 15820*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26015 + -25994. Solve x = u + 4*g, 3*g - 10 = 7*u - 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 810?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494327663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11413?\nAnswer: 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12 + -9)*807\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/240*10\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65740?\nAnswer: 2, 5, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*b - 7. Let m(t) = 21*t - 5. What is the units digit of m(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.072*1361006.\nAnswer: -97992.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20\/12*((-159)\/212)\/((-2)\/8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24450093*f**2*n - 18573732*f*n - 3*n wrt f?\nAnswer: -48900186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 72 + -48 + 66 + (-3 - 2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - d**2 - d - 2. Let c be q(-2). Let x be 40\/16*2\/c. Which is smaller: 0.4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h - 17*h + 9*h - 3 + h + 6*h. Let s be (5 + -4)\/((-1)\/3). What is g(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - u - 4 = 9, 0 = 2*x + u - 23. Let k(w) = -13*w + 0*w**3 - w**3 + 34*w + 15*w**2 - x. Is k(16) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-15) + 2\/5*2 - (-238)\/112.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.195, -5 in descending order.\nAnswer: -0.195, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = u. Suppose -4*z - 292751 = 3*i, u*z = i + 5*z + 97584. Let b = i - -148585. What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 18*g - 142, 3*u + 95*g - 42*g - 49*g - 35 = -211 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 494 = 5*d, 2*d = -5*h + d + 1143. What is the remainder when h is divided by 111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-4))\/(-2) + 2 + 1. What is the units digit of (5 + -2)*(608\/w)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*y - 5*m - 76, -2*y - 14 = 10*m - 6*m for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -417*d - 86*d + 1509 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2493*z + b - 77 = 2505*z, 40 = -2*z - 3*z + 2*b for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -308902334 > -308902330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*n**2 - b**2 + 59*b*n**2 + 8*b*n - 24*n**2 + 38*n + 1 wrt n?\nAnswer: 2*b**2 + 118*b - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 213*t - 4836. Calculate a(35).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14235.\nAnswer: 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 + (-1332)\/225 + (-6)\/225*-8097 and 315.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/32)\/a*a**18)\/(a**(-1\/2)*a*a\/a**(-3\/22)*a))**(-9) assuming a is positive.\nAnswer: a**(-45207\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*b**3*k + 85770*b**2*k + 2008713*k - 1 wrt b.\nAnswer: 60*b**2*k + 171540*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 43 + 0*i**2 + 4*i**2 + 50.\nAnswer: 4*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 + -64. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 40 + 63. Let d(c) = t + 13*c**2 - 103 + 0*c**2. Let w(z) = -5*z**2. What is w(d(y))?\nAnswer: -845*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6322489 to the nearest 1000.\nAnswer: 6322000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 646?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4243917 divided by -831.\nAnswer: 5107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -3*i + 3*z, 0 = -4*i + 2*z - 12. Let w be (i\/(-6))\/(56\/16). Are 1 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:07 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3650847 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*i - 6. Is -6\/7 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46732 and 7420.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.119 (b) 10 (c) 5 (d) -1\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 4*t**2 + 2*t**2)*(18*t - 117*t - 101*t - 81*t).\nAnswer: 562*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/15 - 26*s**2 - 396*s\/5.\nAnswer: 2*s*(s - 198)*(s + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjee. Give prob of sequence ej.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2776*s - 2754*s + 264 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 15833768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 33\/(-12) - 510\/(-40). Suppose z = 2*z - r. Is (-3074)\/(-12) + 1 + (-2)\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 5, 2316826.\nAnswer: -34, 5, 2316826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/(-6))\/6 - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -2265, 0.13.\nAnswer: -2265, -2, -1, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31236?\nAnswer: 2, 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173166 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2919 and 32493057?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v*v**(-1\/8)\/v*v*v**(-16)*v**(-2\/9))**(8\/5) assuming v is positive.\nAnswer: v**(-889\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12691 < 2144970\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1517783 less than -84.6?\nAnswer: -84.7517783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1506\/(-789) - (-48)\/24. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/15 + (-3504)\/105. Let u = 34 + z. Suppose -3\/7*c**4 - 3\/7*c**5 + 0*c + 3\/7*c**3 + u*c**2 + 0 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(85)\/(sqrt(60)\/(sqrt(12)*2 + sqrt(12))) + (sqrt(187) + sqrt(187) + -2*sqrt(187))\/sqrt(11) + 5)**2.\nAnswer: 54*sqrt(17) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. What is the common denominator of 47\/16 and (-8)\/k - (-174)\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814 = 2*c - 198. Solve -14*p**5 - 24*p - 208*p**4 - 246*p**4 - 88*p**2 + 2*p**3 + c*p**4 = 0 for p.\nAnswer: -1, -2\/7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2258407726 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*m - 3*u, 0 = 5*m - 3*m + 2*u - 18. Let p(l) = -1 - m - 3*l + 11. Let a(i) = 4*i - 1. What is 2*a(x) + 3*p(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n + 21*n = 438 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -8598?\nAnswer: -4299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -421 - 0?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.33 and -0.3543545.\nAnswer: -0.6843545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.41441 to 1 dp.\nAnswer: 37.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*h = -3, -4*a + 11 = -0*h - 3*h. Solve 7*n - a*n + 5*z + 25 = 0, n - 10 = 4*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010228198 rounded to five dps?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4947135 and 159585.\nAnswer: 4947135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4276\nAnswer: 5\/4276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -2. Suppose -2*h = -11*h + 9. Sort 0, h, -5, d.\nAnswer: -5, d, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8865*o + 3929*o - 11842*o + 906012 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/36 + (-40)\/(-18). Let g be 9\/5 + (-3)\/(-15). Suppose -16 = -4*h - g*i, -7 + 19 = 3*h + 4*i. Solve f*p + 8 = h*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 685, 18 in decreasing order.\nAnswer: 685, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 25*h + 13. Let x be o(-25). Suppose -2*m - x = v, -2*m + 4*m - 5 = 5*v. Which is the closest to -0.1? (a) -0.4 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -3*f**4\/8 - 11*f**3\/6 + 47*f**2 + 5*f. Let c(l) = 3*l + 4. Give 17*c(r) + 6*u(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 - 33 - 25)*(-f - f + 3*f) - 1 + 1 - f + (4 - 4 + 2)*(-3*f + 3*f - 2*f) - 5*f + f + 3*f - 2*f + 4*f - f.\nAnswer: -117*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268156, -268163, -268174, -268189, -268208, -268231?\nAnswer: -268258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 4*u - 15*u + 168 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 12*l**2 - 41*l - 327. Let u be t(-11). Solve -4*a = 5*y - 27, u - 12 = -2*a - y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 115480 = -3*p, 4*n + 2*p = 31549 + 60837. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1303457 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20438 - -2011. Calculate the greatest common factor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1483692 by -17.\nAnswer: -87276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 2*a + 0*a + 15 + 5*a. Suppose 3*t - 21 = -9. Let p(m) = -2*m - 7. Let x(w) = 2*w + 7. Let b(j) = t*p(j) + 5*x(j). Calculate -9*b(i) + 4*o(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.6 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*n + 79 + 50 - 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2 - 2*u - 1. Let n(p) = -6*p**3 - 4*p**2 - 6*p - 8. Let c(v) = -n(v) + 3*z(v). Is c(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3276140 divided by -10\nAnswer: -327614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d**3\/9 + 221890*d**2\/9 - 362042902*d\/9 + 21294338\/3 = 0.\nAnswer: 3\/17, 3263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106567\/12 + -8873. Find the common denominator of a and (-20)\/(-130) - 30976\/1248.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -288?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/9 + (-2)\/3. Let y(a) = 5*a + 3. Let b(m) = m + 1. Let p(h) = -12*b(h) + 3*y(h). What are the prime factors of p(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/6 - 2*i**3 + i**2 + 134. Calculate m(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtixxixtxxiixi. Give prob of sequence txi.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -458.58 * 51.38.\nAnswer: -23561.8404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25673 is divided by 8325?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 12 + 27 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20345*q**4 - 211*q**2 + 557591076 wrt q.\nAnswer: -81380*q**3 - 422*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/2*(-234)\/((-2106)\/27)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 13062*q**4 - 26118*q**3 - 13058*q**2 = 0. What is q?\nAnswer: -6529, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 178 = -4*m. Let n = 70 - m. Calculate the remainder when n is divided by (2 + -10 + 1)*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 0*r - 5*r + (0 - 2*r + 0 + (-60 - 28 - 35)*(3 - 3 - 2*r))*(-1 + 0 - 1).\nAnswer: -489*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 493021188 a multiple of 3678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337 (base 9) in base 3?\nAnswer: 2101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93889\/21 + -4470. Find the common denominator of l and 40\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*n = -62, 30*n = 33*n - 21. Which is the biggest value? (a) -1\/3 (b) -3 (c) x (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 5576298.\nAnswer: 5576298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 2*w. Suppose 0*b = 3*b - 4*p - 14, 0 = 2*b - 4*p - 16. Let j be u(b). Solve j*r + 20 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7059541993 to the power of 1\/2, to the nearest integer?\nAnswer: 84021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 3*d)*(0*d + 0*d + 2*d) - 1 + 1 - 2*d**2 - 9*d**2 + 3*d**2 - 3*d**2 + 2*d**2 - d**2 - 2*d**2 to k*d**2 + z + y*d and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 + (0 + -1)*1. Let u be 3\/(k*2*(-9)\/18). Which is the closest to u? (a) 0.4 (b) -2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3500)\/126 - 864\/(-486)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -222, -353, -502, -675, -878, -1117?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2335932.\nAnswer: 2, 3, 43, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12692250.5 + 11274.\nAnswer: -12680976.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 1)**2 + sqrt(300))*-4 + (sqrt(300) + ((0 + sqrt(300))*4 - sqrt(300)) + sqrt(300))**2 + 0 - -1*(-3 + 1 + 1*sqrt(300)).\nAnswer: -110*sqrt(3) + 6294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*((-2)\/4 + 0). Suppose -5*q = -2*y + 7*y + 35, 10 = -2*q. Is o\/2 - (-1)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*a + 1876 = 0, a - 3440 = -5*g + 1195. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23123 (base 4) to base 3.\nAnswer: 1000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from {f: 6, v: 11, i: 1}?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 684 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 - 6*h + 10. Determine x(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4589250 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**3 + 7*q**2 + q + 10. Let u(m) = -m**3 + m**2 - m. Let s(n) = b(n) + 5*u(n). Let d(a) = a**3 + 7*a**2 + a - 5. Let p be d(-7). Is s(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1413184160 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1191*o**2 + 7*o - 26. Let b(r) = -1589*r**2 - 9*r + 35. What is -7*b(t) - 9*g(t)?\nAnswer: 404*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 16*c - 6 = 0. Suppose -h - 108 = -4*m, 7*m - 2*h - 3*h = 202. Solve -3*i + 2*f = 4, 4*f - m = -c*i - 0*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -20 + 4*c**2 - 30 + 42 + 0*c - c - 2*c. Let k(r) = -r**2 + 1. Calculate a(n) + 6*k(n).\nAnswer: -2*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from whhbbkhhhhhebhbeh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f. Let s(i) = i**2. Let y(c) = -3*c**2. Let t(d) = -4*s(d) - y(d). Give t(l(n)).\nAnswer: -196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1140909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*u = -138*u + 20. Solve -10 = 5*k - 2*q, 4*k - u*q + 0 = -8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 3. Let r be l(-2). Let f be -6 - (r - 0\/(-1)). Let u = 11 + f. What is the least common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2744) - sqrt(2744)*1)*-5)\/((sqrt(80)\/sqrt(2))\/sqrt(5) + sqrt(56)\/(-2*sqrt(7) - sqrt(7))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4 - 258*i**3 - 264*i**2 + 258*i + 261 = 0.\nAnswer: -1, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1, -70, -4 in descending order.\nAnswer: 5, 3, 1, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 25 + 5, -4*s = i - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24632 is divided by 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - -1) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15d (base 14) in base 16?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.167 - 0.033. Which is the second smallest value? (a) -6 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from ssanszeanzeanso.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m**2 + 1353*m + 6767. What is l(-5)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from nanuuutddu?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106125 is divided by 804?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*o**3 - 16*o**2 + 68*o + 24.\nAnswer: -4*(o - 2)*(o + 3)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81125?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-718)\/198 + 3 - 6\/(-33). Let s = -11 - -13. What is the nearest to 3 in s, i, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 22828*d**2\/5 + 13752762*d + 20386580184\/5.\nAnswer: 2*(d + 332)*(d + 5541)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.09 + 0.09. What is the nearest to 0.2 in 2, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {z: 2, t: 1, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 4*k - 3.\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91190399 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 b, and 1 l when four letters picked without replacement from {b: 2, h: 2, a: 1, l: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 + 112*d\/3 + 6272\/3.\nAnswer: (d + 112)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**3 + 8*r**3 + 4*r**3 + 22*r - 15*r**3 - 22*r + (3 - 5 - 2)*(-2 + 2 - r**3).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (72 + -15)) + 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*b - 424, 163 = -4*u - 2*b - 231. Is u greater than or equal to -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -64. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-25))\/(3 - (-138)\/(-20)). Is -3 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01229219 to 5 decimal places.\nAnswer: -0.01229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3333504 - 1101?\nAnswer: 3332403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 + 146*l - 2207. What is r(13)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0 + 3 + j + 4 - 1. Let o be v(0). Suppose -2*a = -o*a + 572. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-4)\/114) - 2. Calculate the highest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122021101021202 (base 3) in base 8?\nAnswer: -43011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/3)\/(3\/18*(-20)\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) + 8\/(-28). Suppose n - 4 - 2 = o. Suppose 0 = 5*u - 10, 2*c - 9*u = -6*u + 22. Solve -n = -4*j + c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1)\/c))\/(c\/c**(-4)))\/(c**(-1\/4)*c\/(c**(-2\/3)*c)) assuming c is positive.\nAnswer: c**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/378 and -53\/9639.\nAnswer: 19278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 1 + 3. Let v be -1 - 0 - 0 - i. Suppose 3*p + 9 = 0, -p = -y - 0*p - 1. Sort -1, v, y.\nAnswer: y, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*d + 64*d - 116. Sort 2, d, -2, -1 in decreasing order.\nAnswer: d, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 4*y**2 + (-5*y - y + y)*(0*y - 2*y + 4*y).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 947592845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 761\/255 + -3 - (-452)\/(-3842)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/sqrt(9)*3*3 - (sqrt(63)\/sqrt(729) + -5).\nAnswer: 5 + 80*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 12:44 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 31660 to the nearest 100.\nAnswer: 31700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:22 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 - 4*s + 0 - 9*s**2 - 1 + 6. Let c be m(0). Solve 15 = 2*v - 5*i, 0*v + 5*i = c*v - 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11112 - -22641\/2. Let b = -208 + h. Which is greater: b or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/2)\/(48\/32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.329476 kilograms?\nAnswer: 5329476000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 5)*(-10*p**2 - 6*p**2 + 7*p**2) + (4*p + 51*p + 22*p + 12*p)*(1 - 5 + 3)*(-5*p + 3*p + p) as c + h*p**2 + z*p and give h.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1749 by 1749.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/2675 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44833660 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35877\/29 - -1237. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8466588 by -6.\nAnswer: -1411098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 109 = 2*f + 4*l, 39 = -f + 2*l. Which is bigger: -38 or f?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 10. Let t(n) = n**2 + 4*n - 17. Let d be t(-7). Let a be i(d). Let -a*k**2 - 3*k**2 - 4 - 7*k**2 - 12*k - 4*k**3 = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from hqqqqqqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9181517 (base 10) to base 13.\nAnswer: -1b96167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.1715.\nAnswer: 0.08575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -32\/3 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -3\/11*i**4 + 0*i**3 - 4\/55*i**5 - 35 + 0*i - 2*i**2 - 1\/220*i**6. Factor s(y).\nAnswer: -6*y*(y + 2)*(y + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 - -125.9. Which is smaller: 184 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66272, -67876, -69480, -71084, -72688, -74292?\nAnswer: -75896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.1 + -9. Let q = y + -3. Suppose 4*j + 8 = 4*i, 4*j = 7*j - 9. What is the closest to q in 3\/7, i, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 123*p - 3562. Give o(-78).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.8128 - -2.8128. What is the nearest to -2 in 137, -3\/4, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15611260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -64612*t - 258487. Calculate z(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*q + 12. Let r(x) = -2*x**2 - 2*x - 3. Let t(s) = 2*s**2 + 2*s + 4. Let v(j) = q*r(j) + 5*t(j). Let k(z) = -z. Give k(n) - v(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-18))\/((-14)\/(-63)). Suppose h = 6*q - q, 3*h - i*q - 13 = 0. Let v(g) = -g**2 + 2*g + 1. Determine v(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**(-5) assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 828 - -11c?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 17*y**2 + 19*y - 39. Let s be b(-13). Suppose -28*u - 1832 = s. What is u rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*y + 409*y - 134*y - 139*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67786 + -17.6085?\nAnswer: 67768.3915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4773741946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325648525.\nAnswer: 5, 227, 57383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211564797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6106 and -981.\nAnswer: 5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (26 + -68)*(-6)\/7 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(243) + 1 + 3 + 0 + sqrt(243) + -1)**2 + -2 + -3.\nAnswer: 36*sqrt(3) + 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18815 at most as big as -18828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:31 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (33*3)\/(8\/(-104)). Let v = q + 2182. Suppose 0 = -10*r + 5*r + v. What are the prime factors of r?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2))**(-33))**1\/(((r**3\/r)\/(r*r**4))\/(r**9*r**(8\/3))) assuming r is positive.\nAnswer: r**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/46283391 and -11\/33660648.\nAnswer: 370267128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - k - 9828 + 9828 = 0. Solve 78*n - 80*n + 5*y - 1 = k, -11 = 4*n - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 49*c**2 - 138*c + 2. What is x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (-4)\/26 + (-5)\/(1105\/(-8211)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1787389, 1787362, 1787341, 1787326, 1787317?\nAnswer: 1787314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 34 (c) -1 (d) -99.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-220)\/66)\/(2\/81). Calculate the greatest common factor of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**3*y - 42*d**3 - 538*d**2 + 3*d*y wrt d.\nAnswer: 54*y - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 69494*w**2 + 138994*w - 69498.\nAnswer: -2*(w - 1)**2*(w + 34749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2. Let y(q) = -4*q - 4. Give 2*d(u) + y(u).\nAnswer: -4*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/210)\/((-3)\/((-63)\/(-6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15524956 is divided by 156?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8.5. Let f = 2\/203 + 193\/1015. Which is the closest to 1\/4? (a) r (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 - 0.06. Let y(z) = -2*z**2 - 18*z - 12. Let d be y(-8). Suppose -3*w = -d*w + 4. Which is the nearest to 0.1? (a) l (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9105 + 12084. What is the greatest common factor of 662 and k?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -626 - 222?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = 34*w + 3, -3*a + 5*w + 147 = 0. Solve 2*j + 10 = 4*y, -5*y + 42*j = a*j + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 3*t + 3*t)*(-3*t**2 - 4*t + 4*t) + (3*t - 2*t - 4*t)*(2*t**2 - t**2 + t**2) as m*t + b*t**2 + y + p*t**3 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 41553781.546+403\nAnswer: 41554184.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355.799791*-0.1.\nAnswer: -35.5799791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 16 - 13 + 4*i)*(1 + 2*i - 1).\nAnswer: 8*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 - 2*l**3 + 5*l**3)*(2 + 2 - 3) + (l - l + l**3)*(-4 + 6 - 3) as a*l**2 + n*l**3 + f*l + i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**3 - 2*z + 6*z - 5*z + (2*z - 2*z + 2*z)*(-6*z**2 - 25 + 25) as k*z + m + d*z**3 + n*z**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 58. Let i be f(24). Let h(d) = -d**3 - d. Let o(y) = 12*y**3 + 6*y. What is i*h(n) + o(n)?\nAnswer: 2*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15270480 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 777 and -179.60088771.\nAnswer: 597.39911229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -8, z + 1 - 7 = -q. Let l(r) = -z + 0*r + 4 + 2 + 5*r. Is 20 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1008 and 25\/2232.\nAnswer: 31248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -6*v + 0 + 1\/3*v**4 + 0*v**3 + 0*v**2 + 1\/4*v**5. Find the third derivative of n(m) wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0. Let z = -1194 - -17926\/15. Let x = z + -2\/3. What is the closest to 0 in b, 3, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 57 and -23276.0560211.\nAnswer: -23219.0560211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-11 - -10) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - l + 4 = -4, -5*y = -3*l + 10. Let t = -1 + y. Suppose j + 5 = 1. Put t, -2, j in increasing order.\nAnswer: j, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/50400 + c**7\/2100 - 7*c**6\/1800 - c**5\/4 + 7*c**2. Let u(d) be the third derivative of s(d). Factor u(r).\nAnswer: 2*(r - 1)*(r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-8)\/(f**8*f\/f**(4\/3)) assuming f is positive.\nAnswer: f**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 11. Suppose -8*h + 5*h = -30. What is the lowest common multiple of h and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 7:17 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**3 + 17*b**2 - 2 - 17*b**2 - 8*b**3 + 16*b**3. Let a be ((-8)\/6)\/((-2)\/(-6)). Let j = 6 + a. What is o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 5*u**2 - 3*u - 4. Let b = 647 + -650. What is q(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10025377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*p + 57*p - 7356. Let b = -1247 + p. Let z(a) = -a**2 + 5*a + 2. Let g be z(-3). Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1972 - 645 - 657 - 670 + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 16*q**2 - 989*q + q**3 + 937*q.\nAnswer: -q**3 - 16*q**2 - 52*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1710536840 and 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c - 8*c - 26*c + 64*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/8)\/((-579)\/(-386))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1827*a**2*x**3 - 12*a**2*x + 703*a*x**2 - 26*x**3 - 16*x wrt x.\nAnswer: 10962*a**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 = -13. Let v(d) = 5*d**2 - d + 5 - 9 + q - d**3. Determine v(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*d - 3*b, -43*b + 197*b + 1308 - 388 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 25 = 0, -5*f = 3*l + 15 - 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96632 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3307 divided by 5\nAnswer: -3307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, e: 2, b: 7}. What is prob of picking 1 b and 1 e?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54759529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 55134?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x**2 + 7 + 7 - 5*x**2 + 12*x - 4*x**2 + x**3. Suppose i - 15 = -2*z, 23 = 3*z + i + i. Let o be g(z). Solve 8 + o = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -8. Suppose d - g = -d. What is the third derivative of d*o**6 - 2*o**2 + 3*o**2 + o**2 wrt o?\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 442.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4, 6, 3, -7, 13 in descending order.\nAnswer: 13, 6, 4, 3, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {a: 2, d: 3, g: 1, p: 2, z: 1, i: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -378.2 - -378. Suppose -q + 16 - 21 = -a, -q + 3*a = 13. What is the biggest value in -0.3, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -33. Let b be -2*1*(-2 + k). Is 4 a factor of (b - -2) + (-69)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/20))**(-6\/25)\/((o*o*o\/(o\/o**(-1\/4))*o)\/o*o\/o**(3\/13)) assuming o is positive.\nAnswer: o**(-16297\/6500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -124. What is the remainder when m\/75 + (-287)\/(-15) is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 45*x - 27. Let k be g(23). Let w(u) = -u**3 - 2*u**2 + 9*u + 1. Let v be w(k). Is v greater than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 11*j**2 + 6*j + 70. Calculate y(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0 + 1\/2*p**3 - 5*p**2 + 0*p - 1\/60*p**5 + 0*p**4. Let n(h) be the first derivative of l(h). Let c(z) = -z**2. Give n(c(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61.77 + -61.67. Let v be 4\/6 + (-10)\/(-3). Let y = 2 + -1. Which is the nearest to y? (a) n (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/93 + 6\/31. Let v(g) be the first derivative of 2*g**2 + 0*g + 4 + d*g**3. Find the second derivative of v(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53.1 - 933.1. Let v = -878 - q. Let o = -4 + 8. Which is the nearest to o? (a) v (b) 1\/6 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1204)*2\/36. Let r be 4\/10 - 1332\/(-20). Let a = g + r. What is the closest to 0 in a, -0.5, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(242)*5 + sqrt(16)\/sqrt(200)*-2)*5)**2.\nAnswer: 5431808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*s - 81 = 3*s, d + 18 = -s. Suppose -12*g + 756 + 708 = 0. What is the remainder when g is divided by (-4 - (-8)\/4)*d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1120 + 31?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*a - 117, -h = -6*h - 4*a - 561. Let p = h + 115. Solve -3*i + n + 2 + 1 = 0, 0 = -p*i - 2*n - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**3 + 475*r**2 - 1300*r + 116. Calculate i(-62).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asrfaggfaf. Give prob of picking 1 a, 2 g, and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218561881.\nAnswer: 31511, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106\/101 not equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 79, 14, -1, 0.5, 0.032, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.6 and 0.2?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12556, -25114, -37672, -50230?\n\"Answer: -12558*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0 + 0 + 2*f + 2*f + 23 + 0. Determine d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131033031 (base 4) to base 5\nAnswer: -12313012","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 37 (b) 151 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13897.68695*-4\nAnswer: -55590.7478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52652 + 561?\nAnswer: -52061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*-1)\/(1*sqrt(80)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.0501 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 417?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 - 20*j**3 + 32*j**2 - 16*j = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 1. Let t(p) = -7*p**2 + 22. Calculate -6*h(v) + t(v).\nAnswer: 5*v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06298 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + (-4 - -11). Solve 0 = -u*b + 2*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, 5, 0.101, -0.2, -4, 4 in decreasing order.\nAnswer: 5, 4, 0.101, -2\/35, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 23. List the prime factors of t(16).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*h + 36, 2*p + 12 = h - 2*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*t + 5197407*k - 914701*t wrt t?\nAnswer: -k - 914701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 - -10) - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544 = 4*g - 14*g - 126*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39093497?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 506806*p**2 + 33*p + 15. Suppose -y - 135 = 26*y. Let j be a(y). What is j rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-4\/5)*(p\/(p*p**(-16))*p)\/p*p**15*p*p*p assuming p is positive.\nAnswer: p**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*2770\/(-7479).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-1344)\/(-20))\/8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -13a3cb?\nAnswer: -13a3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -4. Suppose -n*z = -2*z - 15. What is the third derivative of 0*d**3 + d**2 + 2*d**3 - 2*d**z + d**3 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clvv when four letters picked without replacement from {m: 2, c: 2, l: 4, v: 3, k: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -539, -3, -1 in descending order.\nAnswer: -1, -3, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) + sqrt(32) + -4).\nAnswer: -25*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48579 (b) -0.9 (c) 22\/5 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4769119 is divided by 61?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 93511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105253 (base 6) to base 9.\nAnswer: -13256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/4)\/((-6)\/4). Let a(m) = 491*m - 9. Is a(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-144)*2*-3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 747\/(-709899)*(0 - 1). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190596063 a multiple of 3318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -273082, -273163, -273300, -273493, -273742, -274047?\n\"Answer: -28*z**2 + 3*z - 273057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(351))\/sqrt(9)*2)\/((sqrt(243) - (2*sqrt(243) - sqrt(243) - sqrt(243))) + sqrt(243) - sqrt(48)\/sqrt(4)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 1. Suppose 38 = 5*r + 13. Let d(u) be the third derivative of -u**6\/15 - u**3 - 23867*u**2. Give r*t(n) + d(n).\nAnswer: -3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Suppose a*f = -4*p + 8, -5*f = -f + 3*p - 6. Suppose 17*w - 20*w + 180 = f. What is the greatest common divisor of 150 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 1 f when three letters picked without replacement from wdzzqwzqzzzmzfwz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42585, 170313, 383187, 681207, 1064373?\nAnswer: 1532685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 + 2804430*d + 1966206906225 = 0. Calculate d.\nAnswer: -1402215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2711, 2699, 2673, 2633, 2579?\n\"Answer: -7*p**2 + 9*p + 2709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35121 - 5*w**2 + 70202 - 35081 + 2*w**3.\nAnswer: 2*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q**2 + 0)*(0*q + 0*q - 2*q**2) + (3*q + 2*q - 3*q)*(3 + 0 - 4)*(-62*q + 106 - 106)*(0*q**2 + 0*q**2 + 2*q**2).\nAnswer: 252*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 11\/3 (c) -280 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 4, x: 2, z: 2}. Give prob of sequence iz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49263*j + 3*j**2 - 14*j**2 - 9*j**2 - 49264*j.\nAnswer: -20*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose -w = -u - 2. Let f = 5.3 + -4.9. What is the nearest to 0.1 in -0.1, f, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28815 and -257?\nAnswer: 29072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246640 and 277470?\nAnswer: 2219760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 15. Suppose z = -2*i + m + 71, -5*i = 4*m + 43 - 188. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4730, -9458, -14186, -18914?\nAnswer: -23642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/27451 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.16 and -0.5.\nAnswer: 3.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 222773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/20*((-5)\/(-2))\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.07614 nanograms in micrograms?\nAnswer: 0.09807614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34520?\nAnswer: 2, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from {a: 11, x: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 22 = 0. What is the remainder when 19 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.77307l?\nAnswer: 57773.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3565*t**2 - 7564*t**2 + 3981*t**2 + 7*t**3 - 3*t**3.\nAnswer: 4*t**3 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 28485 = 6495. Calculate the greatest common factor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeze when four letters picked without replacement from {z: 4, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 19 - 64. Calculate the remainder when 15 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (sqrt(216) - 3*sqrt(216))\/sqrt(8) - ((sqrt(324) - sqrt(324)*3*6) + sqrt(324))\/sqrt(12))**2.\nAnswer: -336*sqrt(3) + 5304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from jbnnzjme?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 35. Let k be w(16). Suppose -57 = -5*u - b, -k = -3*u - 8*b + 10*b. Calculate the smallest common multiple of u and 65.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdqqqqdbdbbq. Give prob of sequence dd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + 5.8. Let n be 2*(-25)\/130*(-13)\/(-65). Which is the closest to 2\/7? (a) n (b) 0.8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**4 + 6*x**3 - 5*x**2 + 2 + 14*x**4 - 11*x**4 - 2*x + 3*x as p*x**3 + y*x**2 + a*x**4 + g + c*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m + 468 + 554 = -18 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*c**2 + 63*c - 60*c - 17*c**3 + 268*c**2.\nAnswer: -17*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23046 and 454407?\nAnswer: 20902722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9\/5)*99\/132?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -1\/19, -4, -5, -19\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99933*a**2 + 21123 wrt a.\nAnswer: 199866*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31680 and 480.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312240 is divided by 48600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - 6 - 82\/(-32) and 25\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3499651027 and 449.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 82*a**5 + 3284*a**4 + 11968*a**3 + 576*a**2 = 0. Calculate a.\nAnswer: -36, -4, -2\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 - 6*v - 1. Let r = -66 + 90. Let t(y) = -32 + r + 7 + y**2 - y. Determine -k(s) + 3*t(s).\nAnswer: -2*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1083041 and 57405.\nAnswer: 3827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 233 - 1.17.\nAnswer: 231.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.253 - 610.9.\nAnswer: -619.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 458 = 90 - 7. Solve 4*z = -10*o + h*o + 1, 3*z - 3*o = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3272*k - 3165. What are the prime factors of y(-4)?\nAnswer: 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/3 + 3*p**2\/2 + 6*p - 2. What is the tens digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let n be ((-6)\/3 + s)\/(-1). Are -2 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = -i, -p - 14 = -2*i - 2*p. Suppose 3*n = c + i - 3, 10 = 3*c - 4*n. Suppose 5*j - c = 4*x - 0*x, 2 = j + 4*x. Put -4, j, 5 in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2503*k - 1754. Is v(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 17341058?\nAnswer: 17341059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 101*t + 1. Let m(i) = 27*i**2 - 1. What is d(m(q))?\nAnswer: 2727*q**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 34268 and 34279 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 + 1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(-2))\/(9\/36). Suppose -4*j + r = 86. Let a = j + 13. Let t(o) = o**2 + 5*o. Calculate t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**2 + 46*k - 30. Let l(r) = 2*r**2 - 9*r + 6. Let f = 17 + -6. Let z(p) = f*l(p) + 2*w(p). Is 10 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638945 is divided by 2536?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3655\/387 + (-98)\/126?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -3. Suppose -3*v + 2*q + 22 = 3*q, 44 = 5*v - 2*q. Suppose 4 = 3*k - v. Which is the nearest to 1\/3? (a) r (b) k (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 100311*p**2 + 100311*p**2 + 100*p**3 - 104*p**3.\nAnswer: -4*p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 4*k**5\/5 + 7*k**2\/2 + 5. Find the second derivative of c(t) wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000319803126 to six dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryyy when four letters picked without replacement from rryrrryy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4736, 18929, 42590, 75725, 118340, 170441, 232034, 303125?\nAnswer: 383720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/9 + 45751988*l\/9 + 261655550744018\/9 = 0?\nAnswer: -11437997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.5. Let y = 2 - 2. Let s = 9 + -9.5. What is the smallest value in y, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 8*t**2 + t**2)*(6 - 2*t**2 + 0*t**2 + t**2).\nAnswer: -3*t**4 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/6, 0.1, 0, 0.1418 in decreasing order.\nAnswer: 5\/6, 0.1418, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/46 and -31\/13678.\nAnswer: 314594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33940*n**2 - 9875 + 9875.\nAnswer: 33940*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(75)\/sqrt(5))\/(sqrt(3)*2*3).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.9. Let h = -8\/9 - -170\/171. Let a = 77\/2 + -37. What is the nearest to -1 in a, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -20 (b) -12 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 86. Suppose -5*o - 31 = j. Let l = o + 18. Which is the nearest to l? (a) 12 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + n)*(-1 - 2 + 1)*(5 - 40 + 12)*(-3*n + 4*n - 3*n).\nAnswer: 184*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/((-129)\/258) + -1)\/((-15)\/(-27)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 222?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 3*g**2 - 3*g**2 + 2*g**2. Let f(s) = 40*s. Determine f(u(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(2448) + (sqrt(2448)*2 + 2 - sqrt(2448)).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 6 = 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 729\/8 + 8\/30 + (-1269)\/3240. Solve 2*f - 18 = 4*q, -3*f = 96*q - s*q + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 332 = 15*a - 20*a, 2*m + 3*a = 166. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 15. Let i = s + -17. Let b = 12 + i. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 47*a - 69. Give f(-49).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6, 0 = u - 3*s - 1 + 2. Suppose 0 = u*f - 5 - 0. What is o in 3*o**4 - o**2 - 4*o**4 - f + 3*o**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 19266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -21. Calculate the lowest common multiple of a and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 0.06, -18\/5, -967 in ascending order.\nAnswer: -967, -18\/5, -1, -0.3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.0039995783 - -6.004. Round h to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 84961.503us?\nAnswer: 0.0000236004175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*n**2 - 73*n**3 - 2*n**2 + 27*n**3 - 42*n wrt n.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let i = 0 + s. Sort -2, 0.5, i.\nAnswer: -2, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 + 4 = 0. Let j be n\/2 - (-2)\/(-4). Suppose -295 = -j*p + 357. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/((-5)\/((-40)\/12)). Suppose -l*p - 8 = 24. Let q = 22 - p. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 1. Let x(t) = t**2 + 4*t + 4. Let z(y) = -4*u(y) - x(y). Let s(q) = q + 5. Let l be s(-3). Let d(f) = f - 2 + l. Give z(d(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -j - 2*h + 13, -21 = -j - 4*h. Suppose 970 = 10*k - j*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*a - 14, -2*p + 0 + 6 = 2*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 22 = -8*r + 5*v, 0 = -4*r + 2*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(-3*2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/15*(-2 - 7). Suppose -j*x = 5*f - 71, -3*x - 2*x - 3*f = -97. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + 4*c - 4071*c**3 + 316*c**3 - 1366*c**3 + 8*c + 10. Let g(s) = -10*s + 55. Let l be g(6). Let a be z(l). Round a to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1681*h**5\/10 - 41*h**4\/6 - 1240*h**3\/3 - 400*h**2 + 398*h - 1. Suppose f(v) = 0. Calculate v.\nAnswer: -20\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u + 173*u - 32*u = 1592 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1335\/(-89)*-4*(-3)\/12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3170 * 0.904\nAnswer: -2865.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10056481 - 597.\nAnswer: -10057078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -161*v**2 + 78*v - 8. Give g(1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452067.\nAnswer: 3, 7, 11, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1724582146.\nAnswer: 2, 7, 17597777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 26 = 36. Let y(t) = 2*t**2 - 4*t + 4. What is the tens digit of y(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10115, 10178, 10285, 10436?\nAnswer: 10631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 5, i: 14}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyly when four letters picked without replacement from yyly.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211841 - -544450. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 217299409.\nAnswer: -2\/217299409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 689.7027 nanometers?\nAnswer: 0.0000006897027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/8236 - 9588\/(-213).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28284 divided by 9428?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 7:48 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/5)*(j*((j**6\/j*j)\/j)\/j*j)\/j*(j\/j**(5\/4))\/j**(-7))\/((j**0*j)**(-3\/17))**(-8\/7) assuming j is positive.\nAnswer: j**(29389\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*b + 10*b - 4*b)*(b - 15*b + b) + (5 - 5 - 11*b)*(0 - b + 0))*(b**2 - b**2 + b**2).\nAnswer: -132*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 39 = 3*d. Let a = 39 - 34. Calculate the remainder when d is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 419 + -415. Suppose -m*b = 4*q - 192, -42 = 6*b - 7*b + q. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**2. Let c(u) = 2*u**2. Let w(m) = -2*m + 4. Let p be w(-4). Let j = p - 9. Let z(s) = 6*s**2. Let x(a) = j*z(a) - 8*c(a). Give o(x(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35.4 + 37.4. Let o = -7 + 10. Let x = -2.3 - -2. What is the nearest to 0.1 in o, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9281*d**2 - 3 + 2*d**3 - 3 - 9281*d**2 + 2.\nAnswer: 2*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19179333 and 1338093.\nAnswer: 57537999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 213. Calculate the remainder when j is divided by 65\/3 + -1 - 72056\/27021.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 + -145?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391154, -1569372, -3533068, -6282242?\nAnswer: -9816894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7 times -0.5?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*c - 0*c - 4, 0 = 3*c - 3*h - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**5*f*f)\/(f\/f**(-2\/13)))**(1\/13)*(f*f*f**(-1)\/f*f)**45\/(f\/f**(1\/4)*(f*f*f\/((f\/(f**(-2)*f))\/f)*f*f*f*f)\/f) assuming f is positive.\nAnswer: f**(26941\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y - 2*y + 5*y + 1. Let u(f) = -f**2 - f + 5. Let z = -26201 - -26197. Give z*l(n) + u(n).\nAnswer: -n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2023 + -534. What are the prime factors of k?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 3*t - 36. Let l be (-3)\/(-2) + t\/(-6). Suppose l = -3*f + 6*f, -5 = -v - 2*f. Sort 1, v, -3 in ascending order.\nAnswer: -3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 + -169. Solve -2*f + 4*n = -0*f - h, 0 = 3*f - 3*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*v + 5447, 73*x - 2*v + 3269 = 76*x. Calculate the greatest common divisor of 55 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 60*q**3 + 2 + 31*q**3 - 2*q + 27*q**3 to the form r*q + z*q**3 + t + o*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*r - 11 = -33, -5*r = -5*d + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59448549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 158 = a, a - 118 = -x + 34. Let g = 200 - a. What is the greatest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + -2*(sqrt(200) + sqrt(200) + -3*(sqrt(200) - (sqrt(200) + 1*sqrt(200))) + sqrt(200) - (5 + -1 + sqrt(200))) + -5)**2*6.\nAnswer: -4800*sqrt(2) + 120096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 take away 425231850?\nAnswer: -425231849.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:56 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 48. What is the remainder when (-15)\/((-15)\/(-4)) - (-44 + -1) is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1135 by 227.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201162440 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-15) + (-8)\/(-3). Solve -20 = -6*p + y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39835898.22 rounded to the nearest 10000?\nAnswer: -39840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*m = -3*z + 285*m + 512, 3*z - 4*m = 520. What is the highest common divisor of z and 2436?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. Suppose 0 = -0*f + v*f - 16000000. Suppose -n + f = q, 5*q - 4190756 - 35809244 = 2*n. What is q rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7078, 14138, 21180, 28204, 35210?\n\"Answer: -9*y**2 + 7087*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 561700 - 195471449\/348. What is the common denominator of -1\/348 and z?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4 = 4*j. Calculate the common denominator of j\/(-7) + 6611\/(-308) and -53\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -28 - (16 + -17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -518 - -568. Calculate the remainder when 448 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 0.2, 0.1, 217583.\nAnswer: -3, 0.1, 0.2, 6, 217583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 7*m**2 + 4*m + 12. Let a = 225 - 140. Let s = 80 - a. What are the prime factors of b(s)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1092, -1044, -996, -948, -900, -852?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:09 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53170*k**4 + 132*k**2 - 12*k wrt k.\nAnswer: 1276080*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 136*t + t**2 + 42*t + 32*t to m*t**2 + x + l*t and give l.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 11. Let n be x(-1). Solve -15*j + n*j + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*p = -31*p - 900. What is the second derivative of -761*j**3 - 3*j**2 + 15*j + p*j + 774*j**3 wrt j?\nAnswer: 78*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.435858 kilometers to centimeters.\nAnswer: 343585.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -124*g**2 + 2*g. Let h be o(3). Let c be (h\/8)\/(1\/(-80000)). Round c to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -0*x. Suppose 0*q + 3*q = 0. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 2115*f - 77690.\nAnswer: 5*(f - 34)*(f + 457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*d + 433*d = 36. Let s(l) = l**2 - 4*l + 1. Let r be s(3). Let a be r\/4 - (-10)\/4. Solve -d = -y - a*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 4. Suppose -37 - 3 = 10*z. Give p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219046 + 219195.0548. Let y = 42.84 + 106.16. Let o = k - y. What is o rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1010000010011111000010001?\nAnswer: -1010000010011111000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38264404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {g: 2, e: 1, v: 3, u: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.695293 minutes in nanoseconds?\nAnswer: 521717580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1932 = 2*v - 156, 1776 = 3*p + 2*v. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 + (-1 - -23 - (27 - 17)) + (-5 - 4)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16011838 is divided by 1231676.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*a - 6*a. Let t(p) be the second derivative of p - 1\/63*p**7 + 1\/27*p**3 - 11\/135*p**6 + 0 + 1\/9*p**a - 1\/9*p**4 - 7\/45*p**5. Factor t(f).\nAnswer: -2*(f + 1)**4*(3*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*m - 1 = 0, -a - 2*m = -5*a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 44. Let i be -1 + (7\/(-9))\/(-1). Which is the nearest to 0? (a) g (b) i (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 3. Let t be u(-7). Suppose -t + 6 = w. Suppose -7*s + 12 = -2*s + w*f, -s - 2*f + 4 = 0. Solve 0*p = -s*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 3:29 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 14459*z**2 + 37 + 75807*z**2 + 21222*z**2 - 81.\nAnswer: 111488*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1279, 2611, 3943, 5275, 6607?\nAnswer: 7939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735669.3mg to grams.\nAnswer: 735.6693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -21.15. Let t = d + -3.15. Which is the nearest to t? (a) 4 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 1 - 2*-41. Let y(j) = 4*j**2 + 11*j - 6. Let f be y(-9). Let z = f - u. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 0.02, 1\/7, 39?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-42)*-40 - (4 - 1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26312, -26313, -26314, -26315, -26316?\n\"Answer: -w - 26311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.4515um?\nAnswer: 2451.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -191174193, -382348387, -573522581?\n\"Answer: -191174194*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27050971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9)*h*h)\/h)\/h*h*h**(-3\/5)*h assuming h is positive.\nAnswer: h**(53\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*s + 4 + 2 = 0, 0 = 5*i - 5*s + 50. Let y be (-2)\/i - (-10)\/((-280)\/(-108)). Solve 2 + 11 = 2*a + 3*n, -5*a = y*n - 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**5 + 5555301*c**4 + 94754201*c wrt c?\nAnswer: -100*c**3 + 66663612*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 1800?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13122175531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 80. Give i(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwwx when four letters picked without replacement from {u: 2, x: 7, j: 1, w: 4, k: 1}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2366 = 13*p - 1482. Calculate the greatest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8502, 15765, 21790, 26577, 30126?\n\"Answer: -619*b**2 + 9120*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8259.724 weeks?\nAnswer: 4995481075200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.9. Let o(b) = -b**2 - 34*b - 206. Let v be o(-26). Let u = 1 + -1.5. What is the nearest to 0 in c, v, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 7. What is the third derivative of -16*g**3 - 3*g**2 + 16*g**3 - 14*g**5 + s*g**2 wrt g?\nAnswer: -840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107517800 to the nearest one hundred thousand.\nAnswer: -107500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxrxgxgrg. Give prob of picking 2 g and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7015*w - 3*b = -7016*w - 15, -5*b - 115 = 5*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 4. Let k(b) = 6*b + 5. Let x = -10 - -5. Let y(i) = x*z(i) - 4*k(i). Let l(g) = 0*g - 3*g + 4*g. Give l(y(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 (base 8) in base 15?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:57 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Let z(b) = -b**3 - 23*b**2 + 695*b + 15981. Let k be z(-23). Put k, -23, c in decreasing order.\nAnswer: c, k, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3527? (a) 0.4 (b) -2\/33 (c) 2\/1945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119) + (sqrt(119) - -2*sqrt(119) - sqrt(119))*-2))\/(sqrt(49)\/(sqrt(14)\/sqrt(2)) - sqrt(14)\/(-2*sqrt(2))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170 + 1903. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 661*m**2. Let v(p) = 1236*p**2 + 2*p. Give v(q(w)).\nAnswer: 540034356*w**4 + 1322*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-10 + 6)) + 3 + (-6 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -997141\nAnswer: 11\/997141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 42) + -4 - (-1 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let q(h) = 7*h**3 + h**2 - h - 4. Let a(l) = q(l) + 2*z(l). Let g be a(4). Let c = g - 277. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**4 - 6945*y**3 - 767005*y**2 + 2704639245*y + 10830383300 = 0?\nAnswer: -565, -4, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 14*n - 5. Let f be t(11). Suppose 1 = w + 21. Let p = w + f. What is the greatest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1143, 4583, 10315, 18339?\nAnswer: 28655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 8 = z, 751*i = -3*z + 753*i + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -103*h + 105*h. Suppose -3*w - h*v + 304 = w, 2*w + 3*v = 160. What is the highest common divisor of 111 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 2. Solve -4*v - h = -c, -2*c - 4*v - 45 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170244002267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.5 - 15.5. Are a and 23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewh when three letters picked without replacement from {a: 7, w: 1, g: 1, e: 5, h: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85408 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/20 - (-4 - 602\/(-168)). Let c = -0.4 + -0.1. What is the fourth biggest value in 5, -0.04, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 = -3*c, 0 = 3*c + 15*n - 17*n + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 100 - (3 + -4 + 2). Suppose 3*r = 23 - 23. Suppose k = -r*v + 3*v. What is the remainder when 97 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 1037833*g**2 - 1037833*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6780284 or 6780276?\nAnswer: 6780284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, 1, 0 in descending order.\nAnswer: 1, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 202553465 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z**2 + 2*z**2)*(-59*z**2 + 89*z**2 + 29*z**2)*(2*z + 4*z - 4*z).\nAnswer: 118*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5309 - -3870. Let v = i - -3458. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2927 (b) 15 (c) 0.3 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 1 - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 7*y**2 + y**2)*(0 + 0 - 1) + (-y - y + y)*(1 - 1 - y) - y**2 + y**2 + y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 127 = -47. Suppose 6*b - 35 = -b. Sort -2\/9, 2, l, b.\nAnswer: -2\/9, 2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2 + 5*h + 1. Let g = 511 - 507. Determine l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 181 - 26. Calculate the remainder when 90 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18856.55 take away 0?\nAnswer: 18856.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*j + 41*j - 8*j**5 + j**5 - 5*j**5 + 0*j**5 + (3*j - 4 + 4)*(-j**4 + 4*j**4 - 5*j**4).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**3 - 5*g**3 - 3*g**3 + g - 1 in the form l*g**2 + m*g + x*g**3 + t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108*(-7)\/420 - 478\/(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 23*c**2. Suppose 4 = -5*u - 1. Let w(m) = -m - 1. Let i(a) = -a**2 - a - 1. Let s(p) = u*i(p) + w(p). What is s(x(h))?\nAnswer: 529*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.292 and -1.044.\nAnswer: 12.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7900641*-2\nAnswer: 15801282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = 4*v, 10 = -d - 4*d. Suppose 0 = -v*h + g + 266, 4*h + 0*h - 532 = g. List the prime factors of h.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-10) + 1\/(-2). Let o = 51\/11 - 743\/165. What is the second smallest value in 2\/5, o, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 7*s**6\/480 + s**5\/120 - 11*s**2. Let d(n) = 0. Calculate n.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43782398.\nAnswer: 2, 11, 227, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:50 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 75 + 19 + 14 - 124*w + 10 + 15.\nAnswer: -124*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 812371740*j**3 + 705*j**2 - 1325*j + 40?\nAnswer: 4874230440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 288?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2 - 168*w - 590. Calculate o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(108)\/(sqrt(72)\/sqrt(6))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 12:06 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/720 and -89\/600.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22101 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -92246 take away -44263?\nAnswer: -47983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151923484*d**2 - 4*d + 36928497?\nAnswer: 303846968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 329009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 415036101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -66.64. Let b = -0.04 + t. Let z = b - 1.5999874. Round z to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) -24.1 (b) -0.4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48000103?\nAnswer: 23, 89, 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 56*u**2 + 2*u + 28. Let y be d(-14). Let o be 0\/2*(-5)\/(-1 - 9). Factor -2\/3*i**4 + 0 + y*i - 1\/3*i**3 + o*i**2 - 1\/3*i**5.\nAnswer: -i**3*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by (-2*3\/15 + (-189)\/15)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**7\/7 + 5*j**3\/3 + 2. What is the third derivative of d(o) wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*((-96990)\/(-45))\/53?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 4*w**2 - 2*w. Suppose -2*q - 5 = -5. Let t(f) be the first derivative of 5\/2*f**2 + 4 - 1\/2*f**4 + q*f - 3*f**3. What is -5*h(u) - 2*t(u)?\nAnswer: -u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96, 107, 134, 183, 260, 371, 522, 719?\n\"Answer: l**3 + 2*l**2 - 2*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19489625 take away 201.242?\nAnswer: 19489423.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6735525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 63 - 99 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 397 + -365. Solve -4*d + x = 2*h + 3*h, 2*d = 5*h - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 44*h - 29*h - 5*h.\nAnswer: -78*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/53)*i\/((i\/i**(1\/16))\/i))**(-2\/31) assuming i is positive.\nAnswer: i**(-933\/13144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8437 + -8434. Suppose -15\/4*o + 3\/2 + a*o**2 - 3\/4*o**3 = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(144)\/sqrt(9)*-4)\/((sqrt(32) + 1*sqrt(3200))\/sqrt(4)).\nAnswer: -24*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, d: 3}. Give prob of sequence dd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 602 and 918862?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-15 + (0 - -4)). Sort 4, 2, p in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91143 and 4018?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtv when three letters picked without replacement from {v: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -238, -0.5, 882?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -19a4d?\nAnswer: -19a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -2*i + 4*p, 2*i = -p + 91 + 584. Suppose -3*b = -340 - i. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3156*x + 4 = 3152*x. Let q(u) = 31*u**3 + 2*u**2 + 2*u + 1. Calculate q(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687904 + 181*h**2 + 687904.\nAnswer: 181*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6815 and 19940.\nAnswer: 27178220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 651, 765, 863, 939, 987, 1001, 975?\n\"Answer: -u**3 - 2*u**2 + 127*u + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*s + 16, -2*s - 2*m + 6*m + 18 = 0. Suppose -j + 2 = 0, s*j = 3*y + 2*j - 38. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-15))\/(56\/(-35)). Let a(n) = -n**2 - 5*n - 3. Let i be a(-5). What is the smallest value in i, -5, -8, t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 + 220. Let u = -63.9 + n. What is the smallest value in -2\/9, -0.3, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 3. Suppose 3 = -i*d - 4*q + 15, 0 = 4*d + 3*q - 9. Let o be (2 + d)\/(-2)*1. What is the biggest value in -2\/13, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/9 (b) 4 (c) -2 (d) 1\/13 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - -8073?\nAnswer: 8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Find the second derivative of 9*m**4 - 3*m**z - 7*m + 2*m**4 - 2*m**4 wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 778*o*q**2 + 2*o*q + 2844*o - 14249*q**2 - 242 with respect to o.\nAnswer: 778*q**2 + 2*q + 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 75*h**3 - h**2 - 16*h**3.\nAnswer: 59*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -32.2. Let m = u + 4. What is the smallest value in 2, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 374*h\/5 + 148.\nAnswer: 2*(h - 185)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8857359, -35429443, -79716249, -141717777, -221434027?\nAnswer: -318864999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/6)*u**0)\/((u\/(u*u**(-5)*u))\/u**(2\/7)))**(2\/87) assuming u is positive.\nAnswer: u**(-163\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 9 + -8 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(3*l - l + 0*l) - 6 + l - 1 + 5 - 1 + 2*l + 1 + (3 + 2*l - 3)*(3 + 1 - 3) + (-1 - 1 + 1)*(-2*l + 2*l - 2*l) - 1658 + 81*l + 1658.\nAnswer: 90*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g + 3 = 45*g. Suppose 0 = g*d + d - 48. Solve -4*i + d = 0, 4*b - 3*i = 18 - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 + -150597?\nAnswer: -150404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 103 + 31 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -22*h + 19*h + 13*h - 12*h. Let z(b) = 768*b. Calculate z(w(t)).\nAnswer: -1536*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193030613 a multiple of 633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-144)*(-8)\/(-57)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.197 to zero decimal places.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 501*f - 5. Let p(m) = -4*m - 3. Let n be p(-2). Let h be y(n). What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*x + 3, -x - 4*x = -z - 18. Suppose -2*l - l = -210. What is the greatest common factor of z and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 5*u - 2. Let w be g(-6). Let r = w - 2. Suppose -21 - 12 = -r*s + d, 2*d = -5*s + 69. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2113*p + 2007*p + 2869*p.\nAnswer: 6989*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 2*t + 1. Let y(z) = -126*z**2 - 28*z - 14. Determine -42*c(j) - 3*y(j).\nAnswer: 336*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1379066*m - 714463 wrt m.\nAnswer: -1379066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/5)\/((30\/75)\/(-1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, -30 = p + g - 132. Let z = p - 61. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 - v + 4. Let t be c(2). What is the second derivative of -1 - 31*g**t + 2*g + 9*g**2 - g - 48*g**2 wrt g?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*s = 996*s - 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - 2*z + 1. Let m be f(1). Let g(n) = -13*n + 158. Let u be g(11). Suppose -r + u = m*r. Solve h - 2 = -r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26108, -32577, -39046?\nAnswer: -45515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3117 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 223, 474, 819, 1258, 1791?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/28 - 138\/(-42). Suppose w*m = 4*m - 83. What is the remainder when m is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4581 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:53 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -726996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 237046, 948215, 2133492, 3792871, 5926346, 8533911?\n\"Answer: -b**3 + 237060*b**2 - 4*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13801 is divided by 303?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23771 - 23728. Suppose 8 - 30 = -2*t. What is the remainder when w is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 n when three letters picked without replacement from {n: 5, w: 5, k: 3}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 10*z**2 - 39*z - 591. Give i(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4419.752nm?\nAnswer: 0.004419752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 43 + 6 - 37 - 4*b**3 + (-4*b**2 + 2*b**2 + 0*b**2)*(-b + b - b) + 0 + 0 - b**3 to z + g*b**2 + q*b + k*b**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Let g(x) be the third derivative of -x**6\/120 + x**5\/10 + x**4\/24 + x**3\/6 + x**2 + 50. What is g(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21441 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2076235130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2182 and 253643317.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1958 - -0.0042. Let o = 6 - 4. Which is the closest to -1? (a) f (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + r - 2*y, -2*y = -3*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 4*g - 8. Let q be y(6). Solve 8*b + 20 = 4*b + q*h, 0 = -3*h + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*h - 3*h + 1374, -h - 2 = 0. Let v be (-31 - -51)*(-3)\/(6\/b). Round v to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -1) + (38 - (-13 + (24 - 58)))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29177, 29181, 29185?\n\"Answer: 4*o + 29173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, -4, -2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(3) - (2 + sqrt(12))) + (sqrt(12)\/(sqrt(16)\/sqrt(4)) - sqrt(3)) - ((sqrt(15)\/sqrt(5))**2*4 + (-1*sqrt(48) + sqrt(3))**2)).\nAnswer: 3*sqrt(3) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-130)\/975 - -3*4\/(-6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6521643\/8 + -816669. Let p = 1468 + o. Let c = 545\/52 + 111\/26. Calculate the common denominator of p and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 9*v + 11. Let s be m(-8). Suppose -3*y = -b + s, -3*b + 9 = -y - 2*y. Solve 3*g + 6 = -y*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 2\/9, 0 in increasing order.\nAnswer: 0, 2\/21, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + o)*(-15 + 106*o**2 - 13 + 30)*(-11 - 6 - 3).\nAnswer: 4240*o**3 + 80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.04 (c) 350 (d) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-30) - 106\/(-12). Suppose 21 - 228 = -n*w. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 464 + -461. Factor 1\/2 - 3\/4*g - u*g**2 - 7\/4*g**3.\nAnswer: -(g + 1)**2*(7*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let t(d) = d**2 - 3*d - d - 10 - 2*d. Let v be t(7). Put w, 1, v in ascending order.\nAnswer: v, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s + 6*s - 8*s**4 - s wrt s.\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2162\/7871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*c**3 - 4*a**3*c**2 - 50*a**2*c**2*n + 7801*a*c**3*n - 24*c**2*n wrt c.\nAnswer: -6*a**3 + 46806*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499138 = -14141*q - 123066 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25276, -5, 2 in decreasing order.\nAnswer: 2, -5, -25276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.00747 millilitres in litres?\nAnswer: 0.07100747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 3*o + u, 3*u + 176 = 4*o + 7*u. Let k = -24 + o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1277*j + 171 - 4438 - 34043 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269173116*-2.\nAnswer: 538346232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3365 (base 10) to base 3.\nAnswer: 11121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c + 6*c + 10*c - 30*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67236189*a**3 - 3388399*a**2 + 46*a?\nAnswer: 403417134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66*c*j - 9594*c - 232*j wrt j?\nAnswer: -66*c - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*i + 197*i + 200*i + 58*i in the form b*i + o and give b.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2282 from -0.01.\nAnswer: -0.2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 6*u + 2. Let q be l(-6). Let j be ((-1250)\/3)\/(q\/48000). Round j to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-49)\/(-7))\/(((-24)\/120)\/((-66)\/(-30))).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -61 + (-5 - -9 - 15 - (61 + -85))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3cc + 5221?\nAnswer: 55ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12226 - 3440 - 4084)*(0*k - 2*k + 0*k) + 2*k - k + 0*k to c + f*k and give f.\nAnswer: -9403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Suppose 0 = 14*d - 8*d - 24. What is the nearest to o in -0.4, 2, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3054031384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8859 + 1300. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 60 = -2*x, 42 = -5*x + 3*k + 164. Solve x*r - 25 = 17*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9838\/14 + (-22)\/(-77) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -4*m + 232. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -748*n - 198991. Determine l(-266).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/11 + 928*p**3\/11 + 2796*p**2\/11 + 2800*p\/11 + 934\/11.\nAnswer: -2*(p - 467)*(p + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5 = -5*v + 3*v, 5*l - 25 = -3*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -940866, -1881675, -2822484, -3763293?\n\"Answer: -940809*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5419223 years in decades?\nAnswer: 0.05419223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -5 - 4*k**2 - 47\/20*k**5 + 1\/2*k**6 + 10*k**3 - 2*k + 1\/2*k**4. Factor q(b).\nAnswer: (b - 2)**2*(b + 1)*(15*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089024779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 6 = 0. Let r(v) = b*v**2 + 5*v**2 + v + 4*v**2. Is r(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + 3. Let f be (-23 + 564\/24)\/((15\/6)\/1). Put -0.4, n, 5, f in decreasing order.\nAnswer: 5, f, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -59. Let w(p) = 4*p**2 - 12*p - 6. Let x(k) = -k**2 + k + 1. Suppose 0 = -0*b + 3*b - 3. Let h(v) = b*w(v) + 5*x(v). Determine h(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 22*l**3 - 2*l**4 + 11*l**3 + 54*l**3 + l**2 as z*l**3 + n + c*l**4 + u*l + w*l**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1113545*n**4 + 493623*n.\nAnswer: 13362540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2841964468 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 471, 5, 4 in increasing order.\nAnswer: 4, 5, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 8*b**2 + 5*b + 10. Let m be c(9). Let l = 71 - m. Are -66 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j - 2 - 3 + 5.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**4 + 2*f**4 - 4*f**4)*(2 + 0 + 1 + (-4 + 0 + 3)*(3 - 4 + 0))*(0 - 1 + 2 + (3 - 2 - 3)*(1 + 3 - 3) + 0 - 4 + 2 + 1 - 2 + 0).\nAnswer: -160*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399*k - 247 = 386*k. What is the highest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 45. Suppose 4*n + 5*b = 20, -3*b + 0*b = -n - 12. Suppose i = -n*i + 26. Calculate the greatest common factor of d and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2231*u + 241972. Calculate c(109).\nAnswer: -1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -8*w + 1\/3*w**3 + 0*w**2 - 100. Give m(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6800.61 and 119.354?\nAnswer: 6681.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (44 - (-6 + 30))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -579895 - 1?\nAnswer: -579896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 5. Let h(d) = -d - 2. Suppose -2*x = 3*c + 1, -3*x + 9 = -0*c + c. Suppose -70 + 20 = 5*g. Determine g*h(u) + x*f(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14724 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 2*n + 2*n. Let w(u) = -u**2 - 5*u. Let a = -25 + 27. Let c(v) = -v**3 - 3*v**2 + 2*v - 3. Let s be c(-3). Give a*w(l) + s*o(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*k = 16838 - 4356 + 1233 + 13069 for k.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182365.\nAnswer: 5, 36473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738\/(-70) + 281266\/14693.\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-3))\/(-2))\/(738\/4182).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus -306639?\nAnswer: 306639.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.701479ml in litres?\nAnswer: 0.006701479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331 + -626. Let i = u - -434. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.5083 + 9.5. Round z to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - v + 1 = 0, -v - 2*v = -9. Let n(j) = 11*j**3 + 2*j**2 - 4*j + 2. Does 36 divide n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 174.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -639 + 645. Let s(d) be the second derivative of -7\/12*d**4 + 0*d**2 + 1\/5*d**a + 0*d**3 - 2*d + 0*d**5 + 0. Find the third derivative of s(v) wrt v.\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/((24\/(-4))\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 - 137216*w = 0.\nAnswer: 0, 68608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*y - 9 + 3 = 0, 3 = 3*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, n: 5, r: 4, h: 1, v: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(240))\/(sqrt(84)\/(-2*sqrt(7))) + 4 - (0 + sqrt(45)\/(sqrt(18)\/(sqrt(6)\/sqrt(3)))*-5).\nAnswer: 4 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131338663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 - 2*b - 3. Is 18 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 15}. Give prob of picking 3 d.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17826825 to the power of 1\/2, to the nearest integer?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -16. Let m be 6\/9 + -7 + 28\/4. Let s = -3\/32 - -47\/160. What is the biggest value in s, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q - 2. Let x be k(6). Let d = x + -4. What is the least common multiple of -16*(9\/3)\/(-6) and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -317, -270, -131, 148, 615, 1318, 2305, 3624?\n\"Answer: 8*b**3 - 2*b**2 - 3*b - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 - 35*h + 15. Is v(22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*k - 16, 0*w - 4*w = 3*k - 31. Let c(s) = -s**3 - 2*s**2 - 5*s**2 + 3*s**2 + 4*s - 3. Calculate the remainder when w is divided by c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1341 or -5?\nAnswer: 1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1692 + -0.703. Let r = p - 0.0178. What is the fourth biggest value in 1, r, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 15*g**2 - 6*g + 33. Give a(-16).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 1667*a**4\/6 - 5731*a**3\/3 - 10910*a. Find the second derivative of v(j) wrt j.\nAnswer: 6668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1613*u + 403*u + 400*u + 398*u + 403*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*v**2 + 3*v - 5?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) 18 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 157*b**2 + 59944 - 59944 in the form i*b**2 + v*b + k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 5:29 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) + 66\/10. Is g\/(21\/36) + -2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.9873 litres in millilitres?\nAnswer: 904987.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 574*x**5\/5 - 3675*x**2\/2 - 3588*x. What is the derivative of c(i) wrt i?\nAnswer: 6888*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**4 + y**2 + y - 1. Let n(c) = -6*c**4 + 5*c**2 + 6*c - 27. Let z(v) = 2*n(v) - 14*x(v). Find the second derivative of z(q) wrt q.\nAnswer: 24*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 4*j + 41. Let c be x(0). Solve 1 = 3*d + 5*i + c, -2*i = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 - 8380.04.\nAnswer: -8379.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**10\/15120 + j**8\/2880 + j**5\/12 - j**2. Let w(b) be the third derivative of k(b). Find the third derivative of w(u) wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 4. Let x(h) = 5*h + 4. Suppose 4*s = 5*s - 10. Suppose 3*w - 5 = s. Let g(f) = w*x(f) - 4*d(f). What is g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -5 - -4) + (-4)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and -0.1?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + o**2 + 4)*(-1 + 6 + 5)*(-2*o**2 - 2*o**2 + 5*o**2).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17809708 - -1513694703\/85. Let m = h + 1535. Is m < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052966152?\nAnswer: 2, 7, 2791, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times 7862912?\nAnswer: 25161318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 20*o + 4 - 111*o + 3 + 1. Is y(-2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -10, -14, -14, -10, -2, 10?\n\"Answer: 2*m**2 - 14*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 987.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3926*s - 1595*s + s**3 + 160*s**2 + 540 - 6*s**3 - 1626*s.\nAnswer: -5*(s - 36)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -582800 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:41 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 36*w**3 + 80*w**3 - 41*w**3 + 6 = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:33 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8001835.\nAnswer: 5, 1600367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 2) + (-102)\/(-27). What is the closest to -6\/7 in 1, y, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*((-4032)\/1274)\/(-144)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 14951318189?\nAnswer: -14951318184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76.20552*-3.6.\nAnswer: -274.339872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:46 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(4 + -1*sqrt(1300) + -3)*1)**2.\nAnswer: -100*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -113003223 (base 4) to base 8\nAnswer: -270353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088827.16 rounded to the nearest 100?\nAnswer: -1088800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-0.227.\nAnswer: 0.2951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -526 + 530. Solve -4*p + 37 = -5*f, y*f - 7 = -4*p + 3*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 630 - 623. Solve -5 = 4*n + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/14 - 354\/(-21). Suppose 0 = -2*y + 7 + 1. Solve -26 - 6 = 4*w + 3*k, y*k = -h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1329, -1671, -2595, -4389, -7341, -11739?\nAnswer: -17871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1 + 17 + 2*b**2 + 11*b - 3*b**2. List the prime factors of k(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = -4*w + 4, 3*w = 5*k - 7. Solve -3*d + 7 = w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4 + 35. Let s = d - -40. Suppose 0*c - 5*i + s = -2*c, 4*c + 4*i + 40 = 0. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 73*q**3 + 44*q**4 + 5*q**2 + 35*q**5 + 51*q**4 - 10*q + 2*q**3.\nAnswer: 5*q*(q + 1)**3*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyy. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -0.084?\nAnswer: 1.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902.09 rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2 + 2)*(-9*w - 2*w**3 + 9*w + 5*w**4).\nAnswer: 10*w**5 - 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 at least -7135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1015 and 53\/16.\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + 5.8. Let l = -4 + j. Let g = 0.05 + -0.45. Which is the smallest value? (a) -0.3 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0 + o - 6 + 0*o. Let a be z(6). Suppose 0 = c - a*c + 3. Sort 2, 2\/7, c in increasing order.\nAnswer: c, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i - 1\/60*i**4 - 44*i**2 + 0 + 1\/300*i**5 - 1\/10*i**3. Factor j(f).\nAnswer: (f - 3)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by 4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 3. Let c = 11 + -19. Let r = c - p. What is the third biggest value in 1, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9247 less than 1?\nAnswer: -9246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 6\/((-144)\/268) and 111\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v - 5 + 5)*(-v - 3 + 3) - v**2 + 3*v**2 + 0*v**2)*((-v**2 + 0*v**2 + 2*v**2)*(-2 + v + 2) - 1 - 2*v**3 + 1).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9.5. Let m be 96\/(-64)*(-24)\/(-5) + 7. Which is the nearest to 1.9? (a) v (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8))\/(3\/(-126)). Let v = -18 - q. Suppose 2 = -s - 2, -4*u = v*s - 64. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aof when three letters picked without replacement from {k: 2, o: 1, a: 2, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 458172 and 1300?\nAnswer: 11454300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*w - 4 + 20.\nAnswer: 3*w + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261740*x**2 + x - 32855?\nAnswer: -523480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3*c + 1)*(6 + 0 - 4 + 2 + 0 + 0 + (-3 + 3 - 4)*(-1 - 5 + 4)) to the form u + b*c and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5\/2 + 2686*q**4 - 69539*q**3\/2 - 342856*q**2 - 643080*q = 0.\nAnswer: -4, -3, 0, 20, 5359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = -0*c. Let k(n) = -5*n**2 + n + 20. Let a(r) = -9*r**2 + 2*r + 35. Let u(l) = 3*a(l) - 5*k(l). Determine u(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 4\/7 (b) 2 (c) 4\/13 (d) -3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odoqoooqfoooqo. Give prob of sequence fddq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*i - 18, -4 - 11 = -3*i. Let z = p - 0. Suppose 0 = z*b - 9 - 7. Solve -b*d + 8 = -3*k, -8*d - 24 = -4*d + 5*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2989 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let c(k) = k. Let q(b) = -8*c(b) - 5*x(b). Suppose -19 = -3*y - 13. Let n = 12 + y. Let t(s) = -6*s. Calculate n*q(a) + 4*t(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 3817556?\nAnswer: 34358004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 122 * 5\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 6*r + 2*r - 3*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45\/148 - -2\/37. Let v = -0.8 - -1.1. Let s = 5 + -8. What is the nearest to s in x, 0.2, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -1, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6 + 4. Let u = 0.156 + 77.844. Let n = -76 + u. Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 97613?\nAnswer: -97617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/10)\/(3\/(-48)). Let a(b) = -3*b - 32. Let d be a(h). Which is bigger: -20\/3 or d?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 27.\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19257910?\nAnswer: 2, 5, 7, 103, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1637 + -260. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9469 = -13*o + 18*o, -3*h - 9466 = 5*o. Let n = 3376 + o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*-6*2\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28512, 28515, 28508, 28485, 28440, 28367, 28260, 28113?\nAnswer: 27920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 7050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -17*l - 17. Suppose 0 = 2*m - j - 105, 0 = -3*m + 4*j + 95 + 50. Let x be (88\/m)\/(1*1\/(-10)). What are the prime factors of v(x)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 282830 - 43963. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4173 - -4182. What is the smallest common multiple of 4373 and j?\nAnswer: 39357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 558*n + 19*n**2 - 3 - n**2 - 562*n. Let c(z) = -18*z**2 + 5*z + 2. Let r(l) = -4*c(l) - 5*p(l). Differentiate r(f) wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + i**2 - i + 1. Let k(v) = -2*v**3 - 12*v**2 + 12*v - 15. Let m(o) = -3*b(o) - k(o). Let w be m(8). Solve 0 = -2*r - 0 - w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177838, -175210, -172582, -169954, -167326, -164698?\nAnswer: -162070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.07 + 0.07. Let m(s) = 2*s - 2. Let p be m(2). What is the smallest value in v, 0.5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l**2 + 6*l + 10. Let w(d) be the third derivative of 0 + 1\/2*d**3 + 0*d + 7*d**2 + 1\/12*d**4 - 1\/15*d**5. What is 2*h(z) - 7*w(z)?\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3598 and 22372.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + z)*(-60*z + z + 7*z).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26413436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43040 (base 9) in base 4?\nAnswer: -12330303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let o(b) = 3614*b**2. Determine o(z(g)).\nAnswer: 14456*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 8*c + 8. What is q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**9*j*j)\/(j*j*j**(2\/9)*j))\/(j**(-5\/2)\/j**(-9)) assuming j is positive.\nAnswer: j**(-265\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 18*o - 14*o - 11*o + 39*o - 9*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -307283, -307282, -307281, -307280, -307279?\n\"Answer: l - 307284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) - (-1)\/(-4). Let u be (8 - 6) + 2 + 0. What is the units digit of ((-22)\/u)\/(k\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -293669 - -487818. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(y + 4*y - y) + 3 - 3 + 2*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*j + 98*j = 188*j - 46. What is the smallest value in -3\/11, j, 1\/12, -0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70747.11ml to litres.\nAnswer: 70.74711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -m. Suppose -5*g - 26 = 3*d, -5*d - 5*g - 30 = -0*g. Let h be 2\/4 - (-1)\/d. Solve -r - m*t - 1 = h, 4*t = 4*r + 2*t + 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4199370 to the nearest integer?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) + 0 + 2. Let j = m - -1. Find the third derivative of 0*s**4 + 4*s**5 - 71*s**2 + 0*s**4 + 75*s**j wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m + 3. Let v(o) = -o - 1. Give 3*v(r) + z(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 3*t**5 + (-t + t - 2*t)*(6*t - 6*t - 2*t**4) - 4*t**5 + 6*t**5 + 3*t**5.\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621.4449 nanometers to micrometers.\nAnswer: 0.6214449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5)**(-33)\/(s**(-14))**(1\/22))**(-11) assuming s is positive.\nAnswer: s**1808","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 406689267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38195372?\nAnswer: 2, 101, 94543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-15)*3159\/117?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3, -0.01 in ascending order.\nAnswer: -0.01, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24212 by -12.\nAnswer: -6053\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12 = -8. Let p be -1 + 1\/(f\/(-232)). Suppose 2*q - p - 3 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 226 + 1?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-7)\/3 - -3). Let u = 0 + 1. Let k be u\/3 + 5\/g. Solve 6 = k*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - v. Let l = 3 - v. Solve 2 = -2*i + l*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 3:04 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2124427208 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 6:36 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 157, 169, 179?\n\"Answer: -u**2 + 17*u + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1724339.88ns to days.\nAnswer: 0.0000000199576375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3533*a + 88846 - 88846 + 5421*a.\nAnswer: 8954*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14999 is divided by 264.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60\/11*p**4 + 600\/11*p**3 + 0*p + 2\/11*p**5 - 2000\/11*p**2 + 0.\nAnswer: 2*p**2*(p - 10)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - 2*v - 2*v - v - 3*v + 2*v + (-2 + 2 - 1)*(-4 + 2*v + 4) + v - 9 + 9 - 3 - 6 - 3*v + 5.\nAnswer: -4*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.48515 centuries in years?\nAnswer: 9448.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -843\nAnswer: -19\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*z + 25, 82 = 5*g - z + 2*z. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127332 divided by 1.\nAnswer: -127332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055316117045 plus 2?\nAnswer: 1.944683882955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 42727.0509663.\nAnswer: 42727.1509663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2 - 242*h - 744 = 0.\nAnswer: -3, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.701 - 0.1.\nAnswer: 30.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11737000 rounded to the nearest one hundred thousand?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 265.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7996138, -7996139, -7996140?\nAnswer: -7996141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*d**2 + 22*d - 260*d**2 + 7 - 21*d - 273*d**4 - 5 to t*d**3 + n*d + h*d**2 + b + s*d**4 and give s.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 44. What is the greatest common factor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - -14) + -2 + (-35 - -43)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - 4*t**2 - 10 + 3*t**2)*(3*t - 3*t + 3*t**2) + (-4*t**2 + 3*t**2 + 2*t**2)*(t - t + 2*t**2) as c*t**3 + m + v*t**2 + h*t**4 + o*t and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b*i**2*p**2 + 134*b*i**2 + 52*b*i*t**2 + 3*b*p**2 - 125898*b*p*t**2 + 11420*i**2*t**2 + 2*p**2*t**2 wrt i.\nAnswer: 14*b*p**2 + 268*b + 22840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 + 3*o\/5 + 168\/5.\nAnswer: -3*(o - 8)*(o + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1213\/18 + -67. Calculate the common denominator of -71\/4 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(-1)*3*(-12)\/(-15)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + -66. Solve 2*w = k - t*k + 8, -k - 6 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7648 and 7331564.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475648?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -18. Calculate the least common multiple of 10 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -106, -989, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1689334088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 331611853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 330 - 31 = 0. Let o(q) = 22 - 41 + 3*q + u. Calculate o(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 + 10. Let u(f) = 3*f**2 - 5. Suppose 30*l - 17 + 57 + 20 = 0. Determine l*g(q) - 5*u(q).\nAnswer: -q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/4*1\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*r + 2*o = 910, 2636*r - 2639*r + 21 = 3*o for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 12)*(-3)\/(-351)*6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*t - 21. Suppose 5*p - t*p - 7 = -2*l, -4*p + 38 = -2*l. Suppose -28*q + 23*q = -80. What is the remainder when q is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825106509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1338*f - 4 = -1335*f + 26*o, 5*f = -2*o - 172 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 344*m. Let o(l) = l. Give 5*f(v) - 1505*o(v).\nAnswer: 215*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -25 + 6 + -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/88 - 19\/2640. Let c(h) be the third derivative of 1\/240*h**6 - h**2 + 0*h**4 + 0*h**3 - 1\/840*h**7 + 0*h + 0 - l*h**5. Find i such that c(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = -46*g + 202 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 56*f + 70. What is the units digit of d(-47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 795632, 0.5, -0.14.\nAnswer: -4\/3, -0.14, 0.5, 795632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 - 1198*y**2 + 594*y - 1829. Calculate l(-300).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 7 = 2*o - 2*d, -14 = -o - 3*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1070, 8240, 27724, 65678, 128258?\n\"Answer: 1026*u**3 + u**2 - 15*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x - 4*x. Let m(j) = -2*j - 4. Let a be m(x). What is the third derivative of w**6 - w**2 + 4*w**a - 10*w**2 wrt w?\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 16566 - 8091 = 21367. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 9\/8*n**4 + 0*n - 7\/2*n**3 + 9\/10*n**5 - 1\/4*n**6 - 9\/2*n**2 + 16. Suppose g(a) = 0. Calculate a.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-2)\/231 + (-2)\/(-7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.18 - -1.68. Put b, -5, -0.3 in descending order.\nAnswer: b, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 7*c**2 + 3*c - 7. Suppose 0*y + 14 = 2*y. Does 6 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1. Let g(p) = 17*p + 17. Let b(q) = -17*d(q) + g(q). Let m(l) = 221*l**2 - 108*l**2 - 115*l**2. Determine m(b(r)).\nAnswer: -578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*((3 + 1 - 3)*(0*i + 3*i + 0*i) - 7*i - 2*i + 7*i) to x*i + h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26934063749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 37, -0.3, 12, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -4. Calculate the remainder when 16 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:41 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 7*l**2 - l + 5. Let m be g(7). What are the prime factors of (-16 - -64)*m\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7 + 9 + 21*a in the form q + c*a and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/270*5*6\/63 + (-1900)\/(-4620)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = -26. Let v(s) = s**2 + 4*s - 1. Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31273 + 735*w**3 - 3*w**2 + 31276 + 3*w**2 + w as s*w + c*w**2 + z + p*w**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -27. Suppose -2*v + 66 = 4*v. Calculate the remainder when y is divided by (-14)\/(-77) - (-75)\/v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10008 + 4?\nAnswer: -10004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20328.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 2, x: 3, u: 4, q: 7}. What is prob of sequence qt?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*o + 3, -3*o + l + 3*l + 11 = 0. Does 11 divide (-189)\/6*(o + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 300*o + 16987. Give c(-57).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8864 and 288.\nAnswer: 79776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 + 8*u**2 - 7*u + 6. Let s(t) = 5*t**3 + 7*t**2 - 6*t + 6. Calculate -6*n(w) + 7*s(w).\nAnswer: -w**3 + w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*l + 3*j, 3*l - 98*j - 24 = -105*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/7 > -414430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 72*n - 75*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 o, and 1 t when four letters picked without replacement from {t: 9, j: 2, o: 6}?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33977?\nAnswer: 61, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7040.82g?\nAnswer: 0.00704082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:56 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 42*a + 276. Determine u(17).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.5922*-14581\nAnswer: 23215.8682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 690750 divided by 5?\nAnswer: 138150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m + 2*p - 0, 5*p + 29 = 3*m. Let b(g) = -g**3 + 4*g**2 - 2*g. Let y be b(m). Suppose y*j = -2*j + 85. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2080 divided by 8587.\nAnswer: -2080\/8587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n + 24 = 19*n + 27*n. Let s(b) be the first derivative of b**2 + 2*b - 1. What is s(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/2100 - y**6\/450 + y**5\/300 + y**4\/30 + y**3\/6 + y. Let f(r) be the second derivative of i(r). Factor f(a).\nAnswer: -2*(a - 1)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from bhbaxhbbbbbraaba?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -81?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1\/9, -0.4, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11230*u - 5*a + 35 = -11235*u, 2*u + 194 = 92*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:46 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28106?\nAnswer: 2, 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**4\/11 + 1398*m**3\/11 - 2790*m**2\/11 + 1394*m\/11 = 0.\nAnswer: 0, 1, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101058 (base 9) to base 5.\nAnswer: 3403311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 127.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-15*p + 20*p + 59*p)*(-7*p + p + p).\nAnswer: 640*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 + 4*y**3\/3 - 7*y**2 - 2*y. Let i be g(-10). What is the greatest common factor of 18 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 b when four letters picked without replacement from {j: 8, f: 7, b: 5}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-1071)*85 - 328\/(-126). Factor 4 - 2\/7*d**2 - v*d.\nAnswer: -2*(d - 1)*(d + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 39 = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.7 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0*q - 56*q**2 + 6*q + 18*q**2 + 17*q**2 + 22*q**2. Give x(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*q + 4 = 0, -17 + 14 = -5*i + 4*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 65*t**3\/3 - 880*t**2 - 1025*t\/3 = 0.\nAnswer: -5\/13, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3, -18\/7, -3\/23, 79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 331443323 (base 5) to base 10\nAnswer: 1437338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = 3*a + 3, 4*a + j + 26 = 0. Let s(m) = -m**3 - 10*m**2 + 7. Let i be s(a). Let l = -70 - i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52326)\/756)\/(-323)*(-462)\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 66 - 2 + 70 - 132. Suppose 5*s = -8 - 2. Give n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4044*0.10169.\nAnswer: -411.23436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*u + 4*h, -20 = -0*h + 4*h. Suppose -40 = 3*x + 2*x. Let r = x + 63. What is the remainder when r is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255954098117382 minus 5?\nAnswer: 255954098117377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84498 is divided by 617?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5398560 divided by 117360?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**4 + 18*j**4 + 5*j**4 + (-8*j + 2*j + 3*j)*(-63 + 133 + j**3 - 67).\nAnswer: 25*j**4 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8335166352 to 3 dps.\nAnswer: -1.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 27*t**2 + 13*t + 55. Is g(-26) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(-3*sqrt(108) - sqrt(3))*4.\nAnswer: -4*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = -3*m, 518*m + 44 = 522*m - 4*c. What is the remainder when 2653 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(612))**2 + 2)*-4.\nAnswer: -9800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-30))\/(14010\/(-25) - 5). Is g less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose 0 = -11*p + 10*p. Suppose p = -3*z + 2*z + 4. Calculate the least common multiple of z and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, -0.5, -2, -9315, -4\/5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*i**4 - 2*i**5 + 2 + 95*i**4 - i**5 + (i**2 - 5*i**2 + i**2)*(1 - 2*i**3 - 1).\nAnswer: 3*i**5 + 2*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -298.5657 + 299.86. Round c to two decimal places.\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*86\/(-5))\/((-1620)\/4050).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7232504, -7232499, -7232492, -7232483, -7232472, -7232459, -7232444?\nAnswer: -7232427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 122. What is the remainder when d is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/18)\/(12\/(-54)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15691531, -31383059, -47074587, -62766115, -78457643, -94149171?\nAnswer: -109840699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + p**2 + 19*p**4 + 18*p**4 - 1 - 36*p**4 - p to t*p**4 + u + v*p**3 + i*p + c*p**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 + 0 = 0. What is the second derivative of 3*w**2 - 6*w**2 - 4 + m*w + 4 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4 + 9. Let j(b) = -b**2 - 7*b - 5. Let n be j(g). Suppose -4*m + 113 = 3*t, -n*m - 57 - 65 = -3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 9, 1, 12, -209 in ascending order.\nAnswer: -209, -5, 1, 9, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 2*g. Let d(j) = j**2 + 3*j + 1. Let h(m) = 2*d(m) - 3*p(m). Let k be h(2). Which is the biggest value? (a) k (b) 2\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/7 - 507126*z\/7 - 144892 = 0.\nAnswer: -253561, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 71*m**4 - 136*m**4 - m**2 + 59*m**4 to g*m**3 + v + l*m + c*m**2 + r*m**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 381679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 7, o: 6}. Give prob of sequence hvho.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 244031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*c - 3 + 180*c**3 + 12*c**3 - 78*c to the form b*c**2 + s*c + l*c**3 + q and give l.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 106, 212, 370, 586, 866?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**3. Let y be t(1). Let b be 171629997\/y + (2 - (-20)\/(-12)). What is b rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - 8. Let h(b) = 3*b**2 - 7*b - 7. Let m(j) = -j - 1. Let i(u) = x*m(u) + 5*h(u). Let r(f) be the first derivative of -f**2\/2 + 1084. Give r(i(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10150 by -7.\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 1750002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8518 or -0.015?\nAnswer: 8518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 + 14 = -3*p, p = -3*q + 13. Suppose 0*g = g - 3*w - 956, 0 = 5*w - q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/7 - 174\/315)\/((-122)\/183). Factor 12\/5 - 2\/5*v**2 - d*v.\nAnswer: -2*(v - 2)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238 + -237. What is the closest to -0.1 in m, 12, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1340964, 1340660, 1340356?\n\"Answer: -304*i + 1341268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204103 (base 5) to base 2.\nAnswer: 1101001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -17)\/((-5)\/(10\/(-4))). Suppose s*x - 192 = -12. Is 60 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 723862521 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/72 and -71\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.0689 + 2.0689. Sort a, -5, -515.4, 0.\nAnswer: -515.4, -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11525 (base 7) in base 8?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6337483 is divided by 234?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(8\/(-76) + (-9)\/38*-11). What is the second biggest value in 20, j, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 12*z - 3*z)*(-3 + 3 + 2*z)*(-2 + 2 + 1)*(-8 - 1 + 0) in the form l*z**2 + t*z + y and give l.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269605613.\nAnswer: 269605613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2562785 millennia to decades.\nAnswer: 25.62785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 26 = -5*g, -8*v - 22 = -4*v - 3*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 35. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Solve -7*n + 2*n = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.15 and 2.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 74\/5 of a gram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 75 + (-222 - -49) + 40\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*l + 61*l + 0*a + 35 = -53*l + 4*a - 2*a - 4*a, -241*a = 4820 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0833422 milligrams in grams?\nAnswer: 0.0000833422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.95022 and 2448657.\nAnswer: 2448655.04978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.44938 - -3.44938. Let f = 4 + -1. What is the nearest to t in -2\/5, 4, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404977.3g to tonnes.\nAnswer: 0.4049773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -16*r**3 + 5*r**2 + 12*r - 102. Let v(x) = 16*x**3 - 6*x**2 - 10*x + 102. Let u(o) = -5*h(o) - 6*v(o). What is the derivative of u(g) wrt g?\nAnswer: -48*g**2 + 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -8812*f**4\/3 + 17148160*f**3\/3 - 17132780*f**2 + 34290080*f\/3 - 31088\/3 = 0.\nAnswer: 2\/2203, 1, 2, 1943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)\/((d\/(d\/d**(-18))*d)\/d))\/(d\/d**(2\/67)*d\/(d**(3\/4)*d)) assuming d is positive.\nAnswer: d**(2085\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 14076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/1)\/(4\/80). Let j be -3 + t\/(0 + -4). Suppose 0 = 4*o + 4*g + 16, -j = -o + 5*g - 2. Which is smaller: -1\/11 or o?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 22*h + 17 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/30)\/(9\/12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -25. Suppose 2*a - 16 = -4*g, 0 = -2*g - 0*a + f*a + 8. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12181.29 and 0.0487.\nAnswer: 12181.3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -3142?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h - 1 + 2*h**2 + 1 + 11*h as f*h + d*h**2 + c and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-1)\/(-1))\/((-1)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31 - -0.01. Let y = w + 0.1. Suppose 0 = 3*s - 0*s + 9. Sort s, y, -1 in increasing order.\nAnswer: s, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 10 = -0*n + n, 12 = 3*n - 3*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88.8 - 0.2. Let g = 1986.261 - 2075.2569. Let u = g - q. Round u to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 8) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42 - 49*j + 13*j + 44 + (-2*j - 1 + 1)*(-3 + 0 + 2).\nAnswer: -34*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from gkkkkgkg?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*f = 176, -504*m + 500*m + 4*f + 136 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 2322 - 3492 + 1636.\nAnswer: -6*b - 4178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1257, 15?\nAnswer: -1257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -10415351.\nAnswer: -10415352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.7. Let y = -0.4 - 1. Let s = -5.4 - y. Which is the smallest value? (a) 4 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, g: 3}. Give prob of sequence lgg.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*(143\/(-52) + 3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -30*q - 88. Let k be z(-3). Let u(l) = -l - 6 - 79*l**k + 80*l**2 + 4. What is u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 8:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -475089 or -475131?\nAnswer: -475089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 5, j: 2, r: 1, g: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 36*u + 40*u + 1050. Put -1, -14, 4, u in increasing order.\nAnswer: u, -14, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135\/2 + 68. Which is the nearest to d? (a) 0.2 (b) 20 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 6*f + 1. Let h(s) = 4*s - 10. Let m be h(3). Suppose 10 = -m*k - 0*k. Give a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from whwwhhwwhhhhiwhhhww?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -61.6. Let p = -17 - g. What is p rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**3*n**2*x**2 + 16*g**3*n*x + 3*g**2*n**2*x**2 - 14*g**2*n - 2*n**2 wrt g.\nAnswer: -90*n**2*x**2 + 96*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11631 + -7465. List the prime factors of f.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7)*r)**(-3\/2)\/(r**(2\/19)*r**(1\/3)))**(3\/17) assuming r is positive.\nAnswer: r**(-1205\/4522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 391398881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r - 51*r - 108 = -5*t - 0, 3*r - 112 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*i - 747474 = 165*i - 10425*i for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.6\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*h**2 + 1061180*h - 235820.\nAnswer: 5*(h + 23582)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130977 is divided by 143.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/108 - (-13)\/(-6). Let z(q) = -21*q + 4. Let m(u) = 10*u - 2. Let f(r) = 7*m(r) + 3*z(r). Give f(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.9 + 46. Sort -0.1, 2\/3, 10, u.\nAnswer: -0.1, u, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55991 (base 10) to base 11\nAnswer: 39081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -21*1 - (2 + -2). Let i = a + 70. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, -5, 1438, 75 in decreasing order.\nAnswer: 1438, 204, 75, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7986*g + 135762. Give l(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 - 840*j**4 - 30204*j**3 + 243992*j**2 + 16004208*j + 15730848 = 0 for j.\nAnswer: -162, -34, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - t - 17, -2*g + 2*t - 157 = -75 - 76 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izm when three letters picked without replacement from iizizummmmq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 4*p + 3*n + 983814, 1311749 = 4*p - n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20110210201101 (base 3) to base 7\nAnswer: 41150056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1))**(-45) assuming u is positive.\nAnswer: u**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -955, -30 in descending order.\nAnswer: -4, -30, -955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (318 + 191 + 130 + 258)*(0*c + c - 3*c) to the form w + h*c and give h.\nAnswer: -1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 77*m - 55. Let f(q) = -q + 13. Give -4*f(i) - z(i).\nAnswer: -i**2 - 73*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -126848, -126853, -126858, -126863, -126868?\n\"Answer: -5*a - 126843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 + 4. Let a be r(-3). Suppose -2*g - 10 = -a*g. Suppose 3*c - 6 = -g*n, n - 2*n = -3*c + 6. Solve h = c*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 195261*i*q + 46176*q wrt i?\nAnswer: 195261*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*g = -1, 3*g = 5*m - m. Let x be (m\/2)\/(10\/8). Let u be 3*(3 + -2) + -1. Sort 4, u, x.\nAnswer: x, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/((-3)\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*k - 1 - 10, 0 = x + 2*k - 7. Let y = x - -547. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324972.\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/360 + k**3\/6 + 10*k**2. Let j(l) be the first derivative of v(l). Let s(t) = 4*t**2 + 3 - 3. Calculate j(s(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-992)\/(-155)*(-25)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427308.\nAnswer: 2, 3, 7, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1256688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 4*x**2 + 10*x**2 + 3.\nAnswer: 7*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -41, -18, 2, -1.\nAnswer: -41, -18, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 9*v + 10. Let y be i(8). Suppose 0 = -y*g - g + 6. Sort -5, -4, g in descending order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 2*g - 1. Let o = -4 - -8. Let y be w(o). Is 17 a factor of (y\/3)\/3 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48535*t*u**3 + 13*t*u**2 - 17*t - 2*u**2 - 1 wrt u?\nAnswer: -291210*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 = f + 13, 5*t = -2*f - 9. Let w = t - -5. Let j(n) = 2*n**2 + 3*n**2 - w*n**2 + 3 + 4*n. What is j(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5 - 20*u**4 + 36*u**3 - 28*u**2 + 8*u = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q + 3*a = 53*q + 5, 4*q + 19 = 5*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 - 47*a**2 + 122*a - 3339. Give y(17).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5, -2\/7, -0.046.\nAnswer: -2, -2\/7, -0.046, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gszszgnuntszstnt. Give prob of sequence sz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7813*l**2 - 8347*l wrt l.\nAnswer: -15626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/90 - 4032\/(-240).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1997*i*l*q + 4879*i*l - 8*i*q + i + 2*l*q + 2*l + 134*q - 852975 wrt i?\nAnswer: 1997*l*q + 4879*l - 8*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -56, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 112. Let m = b - -324\/7. Determine t so that 2\/7*t - 4\/7*t**3 + 2\/7*t**5 + 1\/7*t**4 + 1\/7 - m*t**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*o**2 + 6*o - 218*o**2 - 7*o - o.\nAnswer: -9*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 2*g + 21. Let m be r(-5). Let p be (m - 6)*(-1)\/(-3). Put p, -2, -1, 22 in decreasing order.\nAnswer: 22, p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + o - 84. Let d be c(8). Let w = d - 106. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 23*l - 653, -3*p - 179 + 188 = 0 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2462 and 16.5.\nAnswer: -2445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -13454\nAnswer: -2\/6727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:32 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-3*g - 2*g + 3*g) - 4*g + 5*g - 2*g - 7*g + 6*g + 6 - 3.\nAnswer: -6*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8205 <= 8206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/r*r\/r**(-3\/17))**(-43) assuming r is positive.\nAnswer: r**(6450\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + o - 14 = 3*g, 2*g + 4*o - 20 = 0. Solve -3*l - 4*s + g = 0, -5*l + 2*s + 5 = -5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -1\/3*a**3 + a**2 + 3 + 0*a. Let r(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 3, f: 8, y: 2, w: 2}. Give prob of sequence ycy.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 <= 1057\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 12*t + 31 = 53 + 44, 3*t = p + 9 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruuuuurruvrv. What is prob of picking 2 r, 1 u, and 1 v?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bncnkknnkkk. Give prob of sequence bnk.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*28*4\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (37\/(-3))\/(2\/6). Let s(z) = -z**3 - z**2 - 17. Let a be s(0). Let y = a - u. What is the highest common factor of y and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/15 + 2)*(-5)\/1. Let c be (-4 - -16)*(-16)\/f. What is the third derivative of -2*x**5 + 66*x**2 - 7*x**5 - 46*x**2 - c*x**2 wrt x?\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 (base 10) in base 13?\nAnswer: 34c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**2 - 4*u - 3. Let c be l(-2). Let q be 120\/c*(-9)\/4. Which is bigger: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1197240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6625237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 641025976883 - 0.1\nAnswer: 641025976882.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 83 = 25*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - a + 8*a**2 - 2*a**2 - 2*a**3)*(-4*a**2 + 2*a**2 + 0*a**2).\nAnswer: 4*a**5 - 4*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 343 (base 8) to base 13\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220132000201 - 2?\nAnswer: 220132000133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12541 + 5?\nAnswer: -12532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 771 - 1530 + 769 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/11)\/b*b**(-5\/6))**(-41) assuming b is positive.\nAnswer: b**(2501\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-706)\/(-706))\/((-39)\/15)*(-2)\/(-1).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 544*o**2 - 1080*o + 291603. Give w(543).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(1053) + 0)**2 - (sqrt(117)*2)**2*-3*-4.\nAnswer: -1388 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1528003337 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millisecond in microseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269513473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11461 and 94681.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36237 + 36237 + 276*j**4)*(3 - 4 + 0).\nAnswer: -276*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m + 349 = -3*k, 4*m + 4*k - 356 = 0. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(24\/(-30))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 17. Let f = -17 - u. Does 4 divide (-7)\/((-105)\/f)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 5)*(-136*m + 66*m + 311*m + 711*m).\nAnswer: -7616*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308) - ((2*sqrt(308) - sqrt(308) - sqrt(308)) + sqrt(308)) - sqrt(308) - sqrt(308)) + sqrt(308))\/sqrt(11))\/(sqrt(252)\/sqrt(7)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36291911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 + t. Let u be f(-1). Let x(l) = -10*l + 2*l + u*l. Let g(q) = -4*q. Determine x(g(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*v**2*w**4 + v**2*w + 2*v**2 + v*w + 2*w**4 + 23 wrt w.\nAnswer: -1440*v**2*w**2 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(4 - (1200\/(-76))\/(-4)). Which is smaller: v or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l - 3. Let g(u) = -4*u + 5. Let w(v) = -3*g(v) - 5*s(v). Let j(c) = -2*c + 19. Determine w(j(x)).\nAnswer: -4*x + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1075 and 8605?\nAnswer: 1850075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5000233.\nAnswer: 7, 701, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40272 and 1536?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*j*k**4 - 5*d*j*k**2 + j*k**4 - k**4 + 3*k**3 - 6*k**2 wrt k?\nAnswer: 48*d*j*k + 24*j*k - 24*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20332 + -23?\nAnswer: -20355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, u: 15}. Give prob of sequence mmuu.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53326?\nAnswer: 2, 7, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 9 - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*i**3 - 711*i**3 + 357*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 142608, 570472, 1283578, 2281926?\n\"Answer: 142621*u**2 + u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 0*o)*(1179 + 149 + 1340 - 653 + 1193).\nAnswer: -6416*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -30 + 25 - (0 + 0 - -3). Let b(f) = f**3 + 5*f**2 - 25*f. Let m be b(g). Solve 0 = -m*z - 4*z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 10*q**2 + 11*q + 9. Let p = 711 + -720. Determine m(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496728739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**23*z*z)\/(z**(-20)*z) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158 + -170. Is -1558*(-4)\/48 - 2\/i a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 g when four letters picked without replacement from gvvzzwgvgg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -296 - -327. Let z = m - 31.2. What is the nearest to -2\/15 in 0.1, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 16253?\nAnswer: 5\/16253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-8 - (-2 - -1)) + -1 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891*r = 56*r - 85*r + 905 - 43 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 2, 8, -1\/8909?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 252 = 3*n, -14*n + 16*n = 4*p + 192. Is n a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -5*m**4\/24 - m**3\/3 + 5*m**2. Let y(l) = 11*l + 5. What is -9*j(b) - 4*y(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 2*o**2 + 2*o - 2. Let z = 4 + -2. Suppose z*d + 2 = 3*d. Let u(a) = -a**2 - 1. Let s(i) = d*u(i) - p(i). Factor s(r).\nAnswer: 2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -282, -1, 2, -55 in ascending order.\nAnswer: -282, -55, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1786 = 164. Let s = q + 56. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-10)\/(-5)*11*8\/352*-1\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -30. Let b = 7 - o. Which is bigger: -6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 49 = 4*a - 5*o, 3*o - 17 = 2*a. Let g be 0\/(2\/(-2)*(a - -12)). Solve g = -13*h + 10*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbttdtdbbtdbtbd. What is prob of sequence bbb?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315 - 314.8. Is k < 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 558 + 1157 + 1023 + 304)*(-7 + 6*r + 7).\nAnswer: 12318*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 110. Suppose 2*s + 3*n = 9, -3*s + 5*n = -3 - 1. Suppose 116 = s*j + 3*f + 2*f, 80 = 2*j + 2*f. Calculate the remainder when a is divided by j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*i + 93*i = 20, 3*i = y - 135. Solve -55 = -109*l + y*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 28 = 16. Suppose i = -q*x - 6 + 185, -5*i - 2*x = -877. Does 55 divide (-22)\/(4\/14 - 120\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:55 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49)\/(-5) - 216\/(-180). Solve -i = 28*c - 39*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 + 10*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 273\/6*((-211)\/(-7) + -1). Suppose -5*x + 5*n + 2210 = 0, 3*x + 49*n = 47*n + d. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50422, 201678, 453768, 806692?\nAnswer: 1260450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 - 6 + 6 - 5*t**2 + 3*t**2 - 2 in the form m*t**2 + h*t**3 + x*t + w*t**4 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 161 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 44 = -3*q. Calculate the greatest common factor of 242 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-6)\/(-3))\/1. Let t = l - -6. Let s = t - 4. Solve s*i - 9 = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3\/7 - 14375328*y**2\/7 + 28750665*y\/7 - 14375334\/7 = 0.\nAnswer: -4791778, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2887.6 minus -0.2?\nAnswer: -2887.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.79, 4\/267, 5?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11243968.\nAnswer: 2, 175687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298*c**3*k*t*z + 2*c**3*k - 4*c**3*t*z**2 - 9*c**2*k*t*z**2 + 2*c**2*k*z**2 + 34*c**2*t + 2*c**2*z**2 wrt c.\nAnswer: 1788*k*t*z + 12*k - 24*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (-1*sqrt(64)\/(sqrt(8) + 5*(sqrt(8) - (sqrt(8) + sqrt(40)\/sqrt(5)))))**2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*k. Suppose 3*y + 5 = 4*p, 8 + 2 = k*y. Put p, 4, -1 in descending order.\nAnswer: p, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 + -194.000154. What is g rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let u(j) = j**3 + 4*j**2 - j - 4. Let i(p) = -p**2 + 1. Let b(q) = -q + 2. Let l be b(1). Let m(v) = a*i(v) + l*u(v). Solve m(x) = 0 for x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(2*12\/(-32))*718. Suppose -n + 131380 - c = 0. Is (-2)\/7 - (n\/(-35))\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7557878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2)\/((-1)\/(-4)). Let d(z) = n + 3*z**2 + 1 - 7. Let p(x) = -3*x**2. Calculate p(d(s)).\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -113, -191, -287, -407, -557, -743, -971?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y**4 - 8739*y + 28*y**4 + 24*y**4 + 147*y - 2*y**3 - 23*y**4 wrt y?\nAnswer: 444*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 10:37 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16955 - -305269\/18. What is the common denominator of (-11)\/16 + 2 - -1 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.27 - -4. Let u = o - -0.27. Let c = 1.09 - 6.09. What is the second biggest value in -2\/11, 1, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 4)*(5 + 2*f - 5)*(-2 + 2 - 1)*(-7*f + 2*f + 0*f) to the form h*f**2 + x*f + v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (433*z**3 - 3700 + 3700)*(-15 + 10*z + 10 + 4).\nAnswer: 4330*z**4 - 433*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3711 and 135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 8*x - 13. Let q be d(-5). Let m(o) = 2*o**3 - o**2 - 3*o + 3. Calculate m(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u**2 - u. Let k(x) = -11*x. What is f(k(n))?\nAnswer: 1936*n**2 + 11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 2 (c) 1 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11976176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 - 7*j + 2. Let d be k(-7). Suppose -p - d*p = 4*x - 197, -4*x = 5*p - 187. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 - -11210?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -127*v**3 + 7*v + 0 + 7*v**2 + 128*v**3 + 3 + 2. Let m be w(-6). Let g be m + (-4 - -7 - 0). What is the greatest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j + 2\/3*j**3 + 0*j**2 + 3. Let a(g) = 20*g - 17. Let u(p) = 7*p - 6. Let s(c) = -6*a(c) + 17*u(c). What is s(r(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171975374.\nAnswer: 2, 3, 4007, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 10:26 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*h**2*k**3 - 12750*h**2*k**2 - 13*h*k**3 + 2*h*k**2 - 5508 wrt h?\nAnswer: 100*k**3 - 25500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -38, -80, -136, -206?\n\"Answer: -7*y**2 - 7*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 331 * 0.5\nAnswer: 165.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1092)\/(-24) + -5 - 1*(-3)\/(-6). Solve -q = 6*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*m - 50 = 0, 15*m = 18*h - 11*h - 10*h - 42 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 125 = -5*n. Suppose -t - 20 = -4*y, -y = 4*y + 2*t - n. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-26))\/(9\/(-12))*2\/18.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 5*z - 7. List the prime factors of o(6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59777872?\nAnswer: 2, 7, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -111, -227, -343, -459, -575, -691?\n\"Answer: -116*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 36*h - 408. Let m be k(7). Calculate the greatest common divisor of 2540 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/314625 and -143\/150.\nAnswer: 629250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 18*l + 88. Let q be v(-5). Sort -1, q, -4, 0.\nAnswer: -4, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/6 of a day?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 12*t + 31. Let g be f(-14). Suppose -b + g = 4. Let m = -1.9 + 2.9. What is the biggest value in 5, m, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/19 + 5378*g**2\/19 + 90848*g\/19.\nAnswer: 2*g*(g + 17)*(g + 2672)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * -15.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-99)\/(-15) - 4\/(-10). What is the common denominator of 77\/2 and (-2)\/g - (-165)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18082953 by 10719.\nAnswer: -1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/(-350) - (-6 - (-49 + 42))\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*c**4 + 2*c**3 + 79*c**2 + 4*c?\nAnswer: -5112*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -33*u**2 + 17*u. Let n(g) = -4*g**2 + 2*g. Suppose 18 = 3*j + 2*o, -o + 3*o = 0. Let x(w) = j*r(w) - 51*n(w). Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11524, -3, -60 in descending order.\nAnswer: -3, -60, -11524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Suppose 4 - o = k. Suppose -2*a = 6, 2*u - 3*a = 2 + 13. Solve -z = -3*t + k - 7, -2*t = -u*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 311 - 311 + 548*k as j + h*k and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 m when four letters picked without replacement from {m: 3, l: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43589 divided by 2237\nAnswer: -43589\/2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -11, -25, -45, -71?\n\"Answer: -3*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6520187.6 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k = 22175 - 18512 for k.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1*(-2)\/(-2). Let k = 13607665\/17 + -800823. Let a = k + 372. What is the third smallest value in -3, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97\/84 + 61\/21. Let h(z) be the first derivative of -5\/2*z**2 - 6 + 0*z + 0*z**3 - s*z**4. What is the second derivative of h(q) wrt q?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m - 198. Is m equal to -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - 2*sqrt(152))*1)\/(sqrt(24)\/sqrt(3)*1).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.9 + -8. Let h = 1 + -1. Which is the nearest to o? (a) 4 (b) 1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67845 is divided by 590?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357338692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 20*q**2 + 130*q + 907. Determine i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26364, 3, 0 in descending order.\nAnswer: 26364, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.029522 millilitres to litres.\nAnswer: 0.003029522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 6*q - 18. Let b be l(8). Suppose 0 = -14*t - 0*t + b. Solve -4*y = t + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 2173.728247?\nAnswer: 2173.528247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71166 and 4002.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(8\/3)*d)\/(d*d**8)*d**(1\/6)\/d**(2\/5))**(-1\/34) assuming d is positive.\nAnswer: d**(167\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20434 + -20434. Let s be 1\/(-2)*1*4. What is the second biggest value in s, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 17*j**3\/2 - 35*j. Let t(u) = 2*u. Calculate t(y(a)).\nAnswer: 102*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**9\/21 - c**6\/120 - 17*c**5\/60 + c**2. Find the third derivative of b(q) wrt q.\nAnswer: -2880*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*h**3 - 70*h**3 + 291*h**3 - 82*h**3 - 70*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.93472 less than -0.1076?\nAnswer: -15.04232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171 - 198. Which is smaller: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 h when four letters picked without replacement from hshswwhswhsssqh.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or 22345\/12?\nAnswer: 22345\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 7 in descending order.\nAnswer: 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from fkkkwkfwfffk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*c - 240 = 434*c. Solve 0 = 38*o - 50*o - c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 112.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:17 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 13 = -k + 4*k, -b + 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i. Let a be h(1). Let m = 3 - a. Let x(k) = -22*k**2 + 18*k - 4. Let n(t) = 45*t**2 - 35*t + 8. Let p(c) = m*n(c) - 9*x(c). Factor p(z).\nAnswer: 2*(z - 1)*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-72))\/((-6)\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 4*u + 6. Let j be b(5). Let t = 2902 - 2897. Sort -10, t, j.\nAnswer: -10, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*p - p - 13*p.\nAnswer: -9*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -387\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. What is the first derivative of 3 + 6 + p + 3*d**2 - 4 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -146 + 41 - -23?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26704 (base 8) to base 15.\nAnswer: -3711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29*126\/4263*-63*10\/(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 3 + -1 - 0. Let n = -2091\/7 - -299. What is the second biggest value in i, n, -7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 186*u - 9. List the prime factors of j(26).\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.4 and 0.03.\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740196 to the power of 1\/2, to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*20\/600)\/1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t. Let j(w) = -1223999*w - 10. Calculate d(j(b)).\nAnswer: -8567993*b - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 401, 1120, 2159, 3518, 5197?\n\"Answer: 160*o**2 + 239*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1987*o**2 + 2946*o**3 - 1952*o**2 - 2939*o**3.\nAnswer: 7*o**3 - 3939*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (106\/(-371))\/((-30)\/14) + (-219)\/(-45). Let o(y) = -2*y**2 + 5*y + 15. Give o(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 2. Let b be q(-2). Suppose -2*t + 4*l + 220 = 0, 0 = -3*t - b*l + 88 + 212. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.52 and -5985.6564162.\nAnswer: -5986.1764162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002 divided by -6157?\nAnswer: 3002\/6157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d8 + -3?\nAnswer: -8db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 m, and 1 i when four letters picked without replacement from {f: 1, x: 8, r: 1, s: 4, m: 4, i: 2}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*d - 28 = -1, 4*d + 22 = 2*c. Let u(i) = i**3 + 8*i**2 + i + 6. Let m be u(-6). Let j = 361\/5 - m. Are c and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 - 4*u + 2. Let r(a) = -6*a**2 + 2*a - 2. Let y(o) = -5*i(o) - 6*r(o). Let k be y(-8). Suppose 0*t + 1\/3*t**3 + 1\/3*t**k + 0 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 2 g when four letters picked without replacement from {o: 1, g: 7, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 6*w**2 + 0*w**2)*(37*w**2 + 1 - 59*w**2 + 231*w**2 - 2).\nAnswer: 627*w**4 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**5 + 2*v**4 + 2*v**3 + 43*v**2. Let j(w) = -w**5 - w**3 + w**2. Let x(c) = 2*j(c) + s(c). What is the third derivative of x(h) wrt h?\nAnswer: -60*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, 1027, 1967, 3175, 4645, 6371, 8347?\nAnswer: 10567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/9024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = 3*j + 5, -5*j - m + 12 = 0. Let u be (2 - -4)\/j - 2. Do 0.01 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 8*h**2 + 3*h - 3. Let n be 19*-2*2\/(-4). Suppose n = 3*p + f, -5*f + 8 = -4*p + 65. What is the remainder when 40 is divided by z(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/2 + n**3\/3 - 5*n**2\/2 + 6*n - 31. Let q be w(1). Solve -q*t - t + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -9 (c) 9\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*y - 45 = 0, 0*y - y = -5. Let f(x) = 1 + 3 - x - s. Let z(q) = 2*q - 5*q + 0*q. Give z(f(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -53. Solve -2*j + 4*z - 4 = 0, -c*z = j - 3 - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/5 + 20174*z\/5 - 20148824\/5 = 0.\nAnswer: 1124, 8963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/41))**(-21) assuming b is positive.\nAnswer: b**(42\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/30 + 23*j**3\/6 + 44*j**2 - 2. Let c(x) be the first derivative of s(x). Let t(g) = g**2 - 3. Determine c(t(f)).\nAnswer: 4*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*s - 49 = 10, 4*b - 3*s + 190 = 0. Suppose 4950 = 56*l - 55*l - 100*l. Is b at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 0)*(-3 - 2 + 4) - 285 - 369 + 10 + 87)*(5 - 18 - 5)*(2*l**2 + 2*l**2 - 5*l**2) as t*l**2 + s + m*l and give t.\nAnswer: -10008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/14738484 and 35\/3576.\nAnswer: 29476968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697007*j + 1394016*j - 697008*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 974905231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11594185 to the power of 1\/2, to the nearest integer?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q**2 - 4*q)*(0 + 2 - 1 - 3*q)*(4*q - 4 + 4).\nAnswer: -24*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 15. Suppose 4*v + h = n, 0 = -6*h + h + 20. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.4 + -2.4. Let x = m + -18.8. Let d = 0.3 + x. Round d to one decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 983 = 101 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -104. Is (-1014)\/(-8) - 3\/p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(162) - sqrt(162)) + -3 + ((0 + sqrt(162) - sqrt(162))**2 + -2)*5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from lolxxlxccxl.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*u**2 + 13354*u + 115326.\nAnswer: 2*(u + 9)*(30*u + 6407)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 4*f + 3. Suppose 8*q = 5 - 37. Let j(i) = -2*i**2 + 3*i - 2. What is q*v(y) - 5*j(y)?\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -180, -474, -766, -1056, -1344, -1630?\n\"Answer: r**2 - 297*r + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**(-1\/6))**(1\/18)*(i**(-1\/4))**7*(i*i**1*i)**(5\/3) assuming i is positive.\nAnswer: i**(349\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:33 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.449 + -0.449. Which is the closest to j? (a) -3\/5 (b) 50 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 124 + 212 = 0. Let t be w\/(2\/6*(-6)\/(-4)). What is the highest common divisor of 112 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 216205 = -4*r, 0 = 4*y - 13*r + 15*r - 172964. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 + 10*z**3 - 27*z**3 + 9*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -0.02503 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64823054 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3190 - -15007. Is 38 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a32a964 - -3?\nAnswer: -a32a961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4) + 1)\/(-6 + 5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1727*u**3 - 1725*u**3 - 338 + 76 - 1724*u**3 + 5181*u**3.\nAnswer: 5*u**3 - 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122267293 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9)*3 + 3. Solve 0 = -j*k + 4 + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s**2 - 86*s - 307. Is i(-66) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 4, k: 2}. Give prob of picking 1 c and 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-7) + (-4)\/(-2). Suppose -5*z = 2*r - 95, d = r - z - 44 + 7. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117000?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3690726?\nAnswer: 2, 3, 13, 47317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 + 425 - 1444 = -7*q. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77.0142 + 77. What is w rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*q**2 + 2*d - 67*q**3 + q - 1743 wrt q.\nAnswer: 2*d*q - 201*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*b**2*o**4*v**3 - 2*b**2*o*v - b*o**3*v**3 - 2*b*o**2*v**3 - 134*b*o**2*v + o**2*v**2 wrt o?\nAnswer: 456*b**2*o*v**3 - 6*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*o + 1)*(-o**3 - 2*o + 2*o) + o**4 - o + o - 2*o + 2*o - o**4.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a day in minutes?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 2\/11, 57.189?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45889271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.0721 - 0.0721. Let f = 0 - -1. What is the nearest to f in h, -0.5, 0.08?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3820, -3872, -3914, -3946?\n\"Answer: 5*g**2 - 67*g - 3758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -10)*(-1 - (-18)\/10). Find the common denominator of (-113*2\/w)\/5 and -77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:42 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -0.4, -112324?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**2 - 4*l - 5. Let v(d) = -7*d - 1. Let u(w) = -13*w - 2. Let h(t) = -6*u(t) + 11*v(t). Let r(c) = 2*h(c) - i(c). Does 20 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-3 - 4\/(-8)). Suppose -5*i - y = -4*h, i + 6 = 5*h + 1. Suppose -8*w + 5*w = -15. Sort h, w, 2 in descending order.\nAnswer: w, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 15370620.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 1499695*l**2 - 120007600*l.\nAnswer: 5*l*(l - 300019)*(l + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118751.\nAnswer: 118751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588067 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 = -66 - -52.2. Let o = -0.023 + -13.977. Let n = o - z. Which is bigger: 3\/2 or n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533545 (base 6) to base 4.\nAnswer: 22221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5938 is divided by (12\/4 - 2)*255\/17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 14, 24, 34, 44?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294 - 52*d - 33*d + 77*d.\nAnswer: -8*d + 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynpkp. Give prob of picking 1 k, 1 y, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(640)*-1)\/(-1*-1*sqrt(8)))**2.\nAnswer: 24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -7, -12, 1 in increasing order.\nAnswer: -12, -7, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75992 divided by 5428?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 266*j**4*m**3 + 2*j**3*m*p + 2*j*m**3*p - 8*j*m**2 + 2*m**3*p + 2*m**2*p wrt j?\nAnswer: 3192*j**2*m**3 + 12*j*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + -64 + 13 + -57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 109*m - 2872. Calculate j(45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*q**2 + 48*q**2 - 168*q + 134*q.\nAnswer: 150*q**2 - 34*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1550175\/6325 + -262 + (4\/(-46) - 0)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 18. Let p = n - -19.00000015. Round p to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 773*o + 684*o + 0 to l*o + k and give l.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from {d: 5, o: 1, s: 3, w: 6}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-5))\/(51\/(11475\/(-30))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5554043814*c - 5*c**2 - 5554043814*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-12))\/(3890\/(-6224)). Let z = -727\/588 + -2\/147. Let m = z - -41\/20. Which is the closest to 0? (a) n (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2438156858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-11 - 0) + (-14 - -17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2 + 2. Suppose 2 = n, -4*n + 4 + 14 = -h*d. Let s(x) = x**2 - x - 2. Let a be s(d). Solve 3*l = 4*m - 2*l - 10, 4*m + 4*l = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -16\/2551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19483 is divided by 513.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*i + 7*w - 10*w, -4*w = 2*i + 20. What is the closest to i in 191, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/318, 0.5, -2\/9, 1.2, -5, -0.45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 2. Let s be z(4). Suppose 0 = -2*w - s*w + 8. Suppose -w - 3 = l. Sort -4, 2, l in decreasing order.\nAnswer: 2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.02617 (c) -5 (d) 6\/17 (e) 0.4 (f) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36167\/18585 - (-340)\/(-3825).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 0.2 (c) -489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 20. Let r be w(-11). Suppose 2*g = -n - 25 + 85, -r*n + 130 = -g. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alrulsy. Give prob of sequence rys.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**3 - 3602*o**2 + 218064*o.\nAnswer: 2*o*(o - 77)*(5*o - 1416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2100*m**3 + 2818*m**2 - 724*m + 6 = 0?\nAnswer: 3\/350, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -313301012031 (base 4) in base 6?\nAnswer: -1241200353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-5 + 3 + 0 - -45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 + 11. Let y be (14\/4 - -1)*(-16)\/12. Is b(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 16) to base 12\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 12 = -t + 9*q, -5*q - 30 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 133*x**2 + 7*x - 16. List the prime factors of m(2).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 181. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 + 5*i**3 + 19*i**3 - 17*i**3 - 22*i**3 + 4*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdrr when four letters picked without replacement from {r: 3, d: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16a (base 14) to base 11\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 250*p + 90*p + 422*p + 478*p.\nAnswer: 740*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 96\/(-15) - -4. What is the third smallest value in -0.04, a, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23633 + -50.38433. Let t = i - -9.418. What is t rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 5*v**2\/2 - v\/4 + 5\/2.\nAnswer: (v - 10)*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10010000101?\nAnswer: -10010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-3))\/((-2)\/3). Is c*11*4\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21455*f + 21 - 21465*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17142*c**3 - 4*c**2 + 6*c - 2. Is 133 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**3\/6 + 5*l**2\/2 + 8*l. Give d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.96 + 39. Let l = -0.04 + u. What is the smallest value in l, 0.3, 3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-1\/7)))\/d)**(-2\/27))**(-4\/15)*((d**(2\/5))**8)**36 assuming d is positive.\nAnswer: d**(326528\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let j(n) = -n**3 - 9*n**2 - 11*n - 10. Let y be (-86)\/10 + 6\/10. Let g be j(y). What is the highest common divisor of g and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 15) to base 13.\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xccccccxccc. Give prob of picking 2 c.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 45 + 18. Let d = w + -3. Solve -4 = d*f + 4, -5*f = 2*l + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -4\/41?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/5)\/((-8)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*d**2 - 143424*d + 143424*d - d**3.\nAnswer: -d**3 - 83*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 35710\/(-85)*-1 - 4\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 - 24*m**3 + 88*m - 12 - 63*m - 92*m**4 - m**5 + 106*m**4 = 0. Calculate m.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253685597 + -1.4.\nAnswer: -253685598.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1601 (b) 411 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-119\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.9767 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.8 - 21. What is a rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13657510, -13657505, -13657498, -13657489, -13657478, -13657465?\nAnswer: -13657450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let c(k) be the first derivative of -8*k**2 + 7. What is c(n(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**6\/12 - 3*c**5\/8 - 5*c**4\/24 + 5*c**3\/4 + 5*c**2\/2 - 40*c. Solve z(u) = 0 for u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*1624\nAnswer: 974.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 246, 775, 1922, 3999, 7318?\n\"Answer: 52*c**3 - 3*c**2 + 174*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -26*i + 2542. What is v(98)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, -84586.5, 2.\nAnswer: -84586.5, -1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 6*w + 7. Let p be j(3). Sort p, 3, -3, -5.\nAnswer: -5, -3, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = 0, -4*b + 2 = -4*k - 2*b. Which is greater: k or 2\/159?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -30. Let o be m\/4*4\/5. Find the second derivative of -2*n**2 - 3*n**4 + o*n**2 - 3*n wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1427*q**2 + 42*q - 1672. Let p(z) = 951*z**2 - 30*z + 1115. Let h(x) = -5*c(x) - 7*p(x). What is the derivative of h(r) wrt r?\nAnswer: 956*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/((-26)\/(-192)) + -1. What is the greatest common factor of b and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + (1 - 0)*39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 8, j: 6, f: 2, w: 1}. Give prob of picking 1 s and 1 b.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*n = -3*z + 16, 5*z = n - 10. Let u be (3 + 0 - 3)\/z. Suppose -b + 2*j + 21 = u, 5 + 17 = 2*b + j. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 51. Sort -6, 5, y in increasing order.\nAnswer: -6, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1147 + 551 + 596 + 3*m. Let z(w) = -2*w**2 + 46*w. What is z(y(s))?\nAnswer: -18*s**2 + 138*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - o**2. Let d be f(-2). Suppose 5*u = d*u. Let j = 40 + -22. Solve -4*q - 2 + j = u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = -3*p + 71, -2*p - u + 46 = 0. What is the remainder when 109 is divided by 610\/p - (36\/15 + -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 40*f**2 - 19*f + 132. Is q(-12) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1612*v**3 + v + 1. Let b(f) = -7*f + 13. Let x be b(2). Let i be m(x). Suppose -5*o + i = -2*s, 377 + 267 = 2*o - s. Is o a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00102173 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from tzcttccxtttttt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -509*n**2 - 55*n - 2. Let m(b) = b**2. Calculate k(m(x)).\nAnswer: -509*x**4 - 55*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g - 78*c, 29967*g - 4*c = 29972*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7060 (base 13) to base 3\nAnswer: -210012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/6 + 4\/(-6). Suppose 3*b - 2*m = 0, m = 4*b - s*m. Suppose 0 = -r - b*r + 2. Solve -r*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 199*q**3 + 19*q**2 - 82*q + 113. What is i(3)?\nAnswer: 5411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 645 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:57 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07067 + -0.07067. What is the nearest to k in 0.4, -60, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 7 = -7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5500687855?\nAnswer: 5, 13, 84625967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.5 + -9.5. Which is the closest to -1\/5? (a) 0 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-20) + 435\/12. Suppose 0 = -w*g + 35*g. Solve -4*h - 12 = -g*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(896)*1 + sqrt(56) + sqrt(56))\/sqrt(8).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1\/(-3) + -3. Is 1\/(-2)*157*z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:51 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + k + 4. Let y be d(4). Let t(s) = -s**2 - 8*s + 10. Calculate the remainder when 39 is divided by t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 410 + -408. Suppose b*y - 2 = -0*y. What is the second biggest value in y, -1, 112\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-36) - (-38)\/(-88). Suppose -7 - 5 = -2*s. Suppose -4*n - s + 14 = 0. Which is the nearest to n? (a) k (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110032\/(-1349088))\/((-46)\/(-8)).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -207. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*f + 416*f - 131*f - 141*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 14*h - 16. Let s(u) = 628*u - 7. Is s(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*l**3 + 184*l**3 - 319*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1860.3229864 + 1481.32306. Let b = -379 - m. What is b rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -13*f**4\/12 + 5*f**3\/6 - 5*f**2\/2 + 45*f. Let t(p) = 20*p**2 - 8*p + 8. Calculate -5*t(q) - 8*w(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263402.275638 - 0.0417.\nAnswer: 263402.233938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19807 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:40 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 59 + 32 = 0. Suppose -800 - 1965 = c*b. Calculate the common denominator of -71\/40 and (1 + -2)*2 + b\/(-80).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7627123*u**2 + 3813763*u**2 + 3813671*u**2 + 5*u - 5*u.\nAnswer: 311*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:29 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9769680728 to 5 dps.\nAnswer: 1.97697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/8 and 147\/34 + (4 - 3)*-3?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*sqrt(63) + 0.\nAnswer: -3 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 13. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032 is divided by 104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:26 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**6*w**(-2\/11)*(w\/w**(-1\/4))\/(w*((w**(-4)*w*w)\/w)\/w)*((w\/w**(-1\/3))\/((w\/w**(1\/11))\/w))**8 assuming w is positive.\nAnswer: w**(2965\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -290.5 - -290. Let w = 1.284 + -1.32. What is the second biggest value in 0, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5350\/14980)\/(10\/(-36)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 7. Let t(h) = -h**3 + 8*h**2 - 10*h. Let s be t(7). Let b be 8\/28 - 120\/s. Determine o(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1348190*t**4 + 5149251 wrt t.\nAnswer: -5392760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10604, 10584, 10550, 10502?\nAnswer: 10440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126627950 rounded to the nearest one hundred thousand?\nAnswer: 2126600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1261, 4733, 10525, 18643, 29093, 41881?\n\"Answer: a**3 + 1154*a**2 + 3*a + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 57. Suppose -29 = 4*n - 3*b, 0*n + f = -3*n + 5*b. Sort -1, -3, n in decreasing order.\nAnswer: -1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z - 31. Let g be k(-3). Sort g, -0.2, 1\/11 in decreasing order.\nAnswer: 1\/11, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 4*g - 6. Let s be l(4). Let i(r) = -r**2 - 8*r + 2. What is the tens digit of i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5587811 decades in months?\nAnswer: 67.053732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1722, 6710, 14966, 26490, 41282?\n\"Answer: 1634*z**2 + 86*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 11*n + 68 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 632*l**2 + 1573*l + 4702. Determine v(-3).\nAnswer: 5671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172022 <= 172012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 612?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. What is the units digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90.8 - -91.2. What is the biggest value in -2, 4, q, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4 = -4*k, m = 902*k - 912*k - 54 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1 + 1\/(-2)). Let x be 3 + (3 - 1) + 0. Put x, 8, f in decreasing order.\nAnswer: 8, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 + 0*n**2 + n**3)*(-3*n + 4*n - 9*n).\nAnswer: -8*n**4 + 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/5 and ((-333)\/(-27))\/(0 - -3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2465\/142 + 10\/71. Let o(u) be the first derivative of 8\/3*u**3 - 4*u**2 + 0*u + p*u**4 - 1. Factor o(l).\nAnswer: 2*l*(5*l + 2)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -4.2. What is the third smallest value in i, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-156 + -1 + 3). Differentiate -111*d**2 - 100*d**2 - 109*d**2 + 439*d**2 + d - 101*d**2 + m wrt d.\nAnswer: 36*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331665 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3410 - 3348. What is the greatest common factor of 8401 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 143407994 = 3*v, 1792669 + 105763339 = -3*d + 4*v. Round d to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/243)\/(15\/9*(-22)\/275*5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -93, -2.6, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 144148299*j.\nAnswer: 3*j*(j - 48049433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 45*s**3 + 13*s**2 - 72*s + 75. Determine z(3).\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 9*y + 2. Let d be h(-8). Let u be (-1)\/d + (-35)\/30*1. Let w be (-15 + u)\/((-4)\/8*4). Let z(i) = i**2 - 8*i + 1. What is z(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2) + 5 + 20. Solve t - c = 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**3 - 22*m**2 + 5*m - 4. Let v be a(4). Solve -53*p = -v*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24844 or -24596?\nAnswer: -24596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/126*4)\/((-3)\/(-42)). What is the nearest to 0 in -2\/23, y, 0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {l: 3, c: 2, f: 3, a: 7, b: 5}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -12245 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 10*j + 13. Let f be r(-9). Find the second derivative of -4*t**5 + 4*t**5 + f*t - 4*t**5 wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4 and -19\/1788?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-35)*1550\/(-930)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 2\/13, -84001?\nAnswer: -84001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-6)*(1 - (-124665)\/30).\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-2 + (0 - 8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19820 = 5*c + 4*j, 134*c - 2*j = 133*c + 3950. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l + 1. Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247216023, 247216022, 247216021, 247216020, 247216019?\nAnswer: 247216018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - -16. Let g = o - 27. Suppose g*h - 6 = 2*h - 3*f, 4*f - 8 = 0. Solve h*a + 25 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 448 - -40. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*u + 2. Let k be -2 + 1 + 3 + u. Which is the closest to k? (a) -1 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 158?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -10, -2*z + 7*z = 2*o. Solve -3*k + 3 = z*p - 0, 4 = -2*p + 4*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-255)\/(-34))\/(21\/28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 16*c - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325 - -166. Let g = o + 169. Solve 0 = -2*m + m, -5*m + g = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 5. Let d be c(-4). Solve -2*r - 1 = d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/4 - (-8)\/(-16). Suppose 0 = 2*f + 3*c - 18, -f = k*f - 5*c - 80. What are the prime factors of (-2)\/(-5) - (-339)\/f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6 - 2)\/(-2))\/2. Factor 2*p**2 + 3*p**3 + 1 - p - p**q - 2*p**3 - 2*p**2.\nAnswer: (p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/5)\/(6\/(-20)). Let h = 16619 - 16597. Solve 7*x + q = 2*x - h, v*x + 6 = 5*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h. Let d(f) = -511*f**2. Give d(b(u)).\nAnswer: -2044*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - -1071?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9324, 9336, 9358, 9390, 9432, 9484, 9546?\n\"Answer: 5*c**2 - 3*c + 9322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98543616 and 59856?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 3:29 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*j + j. Solve -3*m + m**j - 2*m**2 + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55461361*x**2 + 7422*x - 979?\nAnswer: -110922722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-4))\/((-4)\/8). Suppose 35 - 10 = o*p, -k = 3*p - 17. Solve 3*c = -0*c - 3*i + 3, k*c + 3*i - 7 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(208) + 2 + 1*sqrt(13)*-3)**2.\nAnswer: 8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o - 2*o)*(-1 + 2*o + 1) + 7*o**2 + 63*o + 4*o**2 - 12*o**2.\nAnswer: -11*o**2 + 63*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 681 = 4716. Let d = -57852111827\/14332912 + -5\/1791614. Let u = l - d. Calculate the common denominator of -23\/8 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2215 + -1a645?\nAnswer: -18430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*u - 2*z + z, 3*u = -5*z. Suppose u*o = x + 4*x, 0 = 4*x - 3*o. Which is the nearest to x? (a) 4 (b) 1\/5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 3 - 3)*(-2*v**3 - 4*v**3 - 2*v**3) + 6*v**2 + 3*v**4 - 6*v**2 to m*v**2 + j + l*v + p*v**4 + f*v**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1498470)\/(-18072) + 78\/72?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 947647 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 13*t - 210. Suppose 0*w + 43 = 5*w + 2*a, -4*w + t = a. Let u be 4\/(-3)*w\/(-78). Sort 3, 0, -2, u.\nAnswer: -2, 0, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290.9 times -0.5\nAnswer: 145.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 978047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 4731304?\nAnswer: 18925216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 y when three letters picked without replacement from {y: 5, t: 2, m: 5, v: 3, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 + 98*n**2 - 95*n - 194 = 0 for n.\nAnswer: -1, 2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 76. What is the remainder when 30 is divided by d(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*sqrt(190) + (sqrt(190)*-2 + sqrt(190))*-4 + sqrt(190))\/(sqrt(10) + (sqrt(50) + sqrt(3200))\/sqrt(5) - (sqrt(10) + -1*sqrt(10)*-5)))**2.\nAnswer: 5491\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608 and 232769?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 30. Let b = c + 293. Suppose b = 6*o - 0*o. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*h + h. Let d = h - 19. Let w(p) = -p**2 + 9*p + 13. Let c be w(10). Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.39411650471 and -19.\nAnswer: -18.60588349529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8 + 1 - p + 8. Let a be w(-3). Suppose 0*v - v - v + a*v**2 - 2*v = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-58)\/(-464)*(-18)\/(-30))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171925 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622610?\nAnswer: 2, 5, 23, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/35 - 2*i**3\/7 + 4*i**2\/7 - 3*i\/7 + 35. Suppose x(b) = 0. What is b?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -40. Let b(l) be the first derivative of 2 + l**c - 4 + 0*l**3 + 3*l**3. Let t(z) = -2*z**2. Give t(b(k)).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*z + 876, 0 = 4*v - 2*z + 5*z - 1164. Calculate the highest common divisor of v and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -883 + 1263. Suppose 5*l + 6*p = 2*p + q, -3*l + 191 = -5*p. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 27*b**2 - 633*b - 17117. Give y(-26).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 482048.7kg?\nAnswer: 482048700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let f be (-252)\/(-35)*75\/10. Suppose 2*i + 0*u + 3*u - f = 0, 5*i = -5*u + 125. Calculate the greatest common factor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 9. Let n = -11 + l. Suppose 3*f - n = 6. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u + 3. Which is the nearest to u? (a) 1 (b) -4\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18207361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1868491842340 + 940879067210780237\/503550. Let n = a + 2\/10071. Find the common denominator of n and -71\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 5*j**3 - 5*j**3 + (3*j + 2*j - 3*j)*(3*j**4 + 3*j**4 - 5*j**4) + j - 2*j**5 - j + 933*j**5 - 10551 + 10551.\nAnswer: 935*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.084232 * -0.5\nAnswer: -0.042116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 97.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 113*u**2 + 20996*u - 787. Calculate r(99).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**3 - 18*w**3 + 866 - 866 - 14*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*f + 63 + 83, -5*d + 2*f + 336 = 0. Let n = d - 42. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*u - 18, -21*q = -2*u - 24*q. Which is smaller: -32\/5 or u?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 4. Let n(z) = z**3 - 4*z**2 + 5*z - 8. Let o(b) = -3*b**3 + 7*b**2 - 9*b + 17. Let c(u) = -5*n(u) - 2*o(u). Give c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 + 8 = 0. Let w = -5 + s. Which is the closest to w? (a) 0.1 (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -3*z - 5*t, 2*t + 0*t = -z + 60. Suppose 0 = -2*x + z + 18. Calculate the greatest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 70*r - 83*r + 0 = 38, -5*r - 34 = 2*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 41, 4, -4, -5, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -57.00164. What is k rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g - 1. Let c = 2 - -1. Let i be j(c). Let o = 13 + i. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:58 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*x**3 - 77*x**3 - 74*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*k + 5*c, k - 4*c = 4*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -4*z + 662. Is 43 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from tioihotooioiooo.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 1\/15*k**5 + 0 - 1\/3*k**3 - 5*k**2 - 3\/8*k**4 + 0*k. Let x(a) = -2*a**2 + 5*a + 1. Calculate -11*x(h) - 6*z(h).\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*i**2 - 3420*i - 108300.\nAnswer: -3*(3*i + 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17 + 3 = -5*d, 0 = 3*d + 4*h - 10. Solve -5*a + 21 = d*f, 20*f = 3*a + 25*f - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(252))*-2 + sqrt(252))**2 + -3.\nAnswer: 48*sqrt(7) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -8. Suppose -4*w - w = 0. Let i(x) = -x - 2 - x + w*x. What is i(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**3\/3 + 3*n**2\/2 + n + 6. Let s be z(-4). Suppose -q = -s*q + 20. What is the highest common factor of q and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(405) + -1*sqrt(405))*2*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*v**2 + 4 - 51*v**2 + 85*v**2 - 2 + 28*v**2.\nAnswer: 377*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*z + 3105 = 765 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 + -279. Solve 0 = 3*m - 5*h, 4*m - 2*m = -g*h + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(40\/(-18)) + (-15)\/(-20). Suppose 5*a + 0*g - 1311 = g, -b*a = 4*g - 805. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -22. Let t = v - 28. Put t, 4, 3\/5 in descending order.\nAnswer: 4, 3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 5*g)*(-9*g - 7*g + 2*g) + 5*g**2 + 1 - g - 2*g**2 - g**2.\nAnswer: -26*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3103 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 - 7*n - 9. Let c be s(-4). Solve -3*y = -5*y + 4*w - 12, -c*y = -4*w + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221515.\nAnswer: 5, 7, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 + 20*c**2 + 16*c**2 - 16*c**2.\nAnswer: 37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 3\/17, 3\/4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -27369.\nAnswer: -1\/9123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37800000 = -11*l - l. Round l to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1900)*-2)**2 - ((sqrt(1900) - ((sqrt(1900) - (sqrt(1900) + 3*(sqrt(1900) + -2*sqrt(1900)))) + sqrt(1900)))**2 - sqrt(1900)).\nAnswer: 10*sqrt(19) + 172900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 4820400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1)\/(sqrt(3) + sqrt(6)\/sqrt(2)*1))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 16*n + 59. Let s be v(-5). Solve 0 = -m - 2*t - 9 - 0, -m - 15 = s*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 483803 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - -8?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2, 1\/4, -1.77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 925, 8904 in increasing order.\nAnswer: -6, 2, 925, 8904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 1, p: 2, r: 2, t: 1, h: 1}. Give prob of sequence hpw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114.7 + -115. What is the nearest to 0.1 in 10, -2\/5, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101101100011011 (base 2) in base 5?\nAnswer: 110411300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/9 - 18\/(-81). What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434\/(-76) - (255\/(-48) + 8 + 2096\/(-256))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2. Suppose b - 5 = -5*a, -21 = -3*a + 4*b - b. Let h(m) = a*m**2 + 15 - 15. What is p(h(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times 0.006805\nAnswer: -0.0009527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16704986 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 931, -1, 6 in decreasing order.\nAnswer: 931, 6, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6536311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 105 + 4*j - 47 - 3*j - 30.\nAnswer: j - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -17. Let y(w) = -5*w**3 + w**2 - 1. Let r be y(c). Suppose -15 = 5*b, 0 = 3*i + 4*b + r + 1. What is the greatest common factor of 8 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 50, 78, 106, 134?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3509*x - 133085 - 236095 = -579*x for x.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {y: 1, u: 1, f: 1, w: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/27994 and 97\/10.\nAnswer: 139970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1248 in 4, -11, 2, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 376329, 752691, 1129113, 1505625, 1882257?\n\"Answer: 5*y**3 + 376327*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 13 - 5 = z, z = 3*f - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2 - 108*n + 481. Give f(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/52635 and 7\/189486.\nAnswer: 947430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 3*z + v, -5 = z + 2*v. Suppose 2*i - z*i = 5*w + 14, 3*i = -4*w + 2. Find the common denominator of i and -6 - -2 - 1\/(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8\/11)*n\/(n**28\/n))\/((n\/(n**(5\/2)\/n))\/(n\/(n*n**(-20)))) assuming n is positive.\nAnswer: n**(-137\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -21. Calculate the least common multiple of j and ((-30)\/9 - -4)\/((-3)\/(-54)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n + 1. Let u(q) = 15*q + 6. Let r(z) = 28*z + 13. Let f(b) = -2*r(b) + 5*u(b). Determine 7*a(k) - 2*f(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/14, 3, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 21*o - 51. Let w be k(-8). Let z = 45 - w. Let r(j) = j**3 + 9*j**2 + 4*j - 10. Calculate r(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8704, 8706, 8708, 8710, 8712, 8714?\n\"Answer: 2*r + 8702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968*i**3 - 6193*i**3 + 457*i**3 - 2989*i**3.\nAnswer: -10693*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*y**3 - 453*y**3 - 136*y + 230*y**3 - 45*y.\nAnswer: -2*y**3 - 181*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -1.6. Let i = -145 + 1303\/9. Let s = 0.049 + -0.049. What is the biggest value in s, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -106. Suppose -75 = -o*r + 245. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-1572))\/((-4437)\/116 - -39)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12610530 and 18.\nAnswer: 12610530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 - 57548*h + 57552. What is x(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 31*q = 2452. Let w be q\/15 - (-10)\/75. Is w less than or equal to 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o + 2*r + 22, 5*o + 2*r + 29 = 0. What is the hundreds digit of 221 - ((7 - -4) + o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 1\/2*a**2 + 1\/6*a**3 + 2*a + 0. Let u(l) = l + 1. Determine -2*u(h) + 3*x(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 126864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4*b - 26272 = -4*g, 1 = g. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 - 188. Let j = -82.00000169 + p. Round j to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -25. Let s(c) = -c + 5. Let f be s(8). Let l(u) = -u + 24. Let q(z) = f*l(z) - 2*v(z). What is the first derivative of q(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-2 - 7 + 4)*(14*t - 14*t + 5*t**4)*(-1 - t + 0 + 0*t).\nAnswer: 25*t**5 + 25*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 - 229.19. Let v = a + 0.09. Round v to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(6\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 6, z = s + 4*z - 12. Suppose 0 = 3*x + x - 12. Suppose -u - 2*w = 4, 0*u - 55 = -5*u + 5*w. Solve 0 = -x*b + s - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121675049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -28. Let o be ((-4)\/j)\/((-8)\/30). Let t be (((-20)\/(-1))\/5 + 0)\/6. Which is the nearest to o? (a) 3 (b) t (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -42*n - 25. Let d(k) = 14*k + 9. What is -3*c(w) - 8*d(w)?\nAnswer: 14*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 53. Put x, 2, 1 in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11049 + -11045. What is the closest to 1\/7 in -2, k, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -0.068.\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -7871?\nAnswer: 7868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683310 is divided by 1842.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, l: 7, o: 4}. Give prob of sequence looo.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116342101*j**4 + 191*j**2 - 45510*j - 4?\nAnswer: -2792210424*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5201 greater than -5528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 511, 435, 359?\n\"Answer: -76*g + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m. Suppose 0*a + 2*f - 16 = -4*a, 0 = 4*a + 5*f - 22. Let l(t) = 3*t + t - a*t. Calculate o(l(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -195, -281, -359, -429, -491, -545?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3. Let r = 3 + -2. Let n = 1 + -4. Which is the closest to -1\/2? (a) n (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 212440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -369.07368 + 369. Let q = s + 0.062. Round q to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mms when three letters picked without replacement from {s: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - -871. Let g = u + -990.557. Let h = -0.043 + g. Is -2\/5 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1161 + 0.0991. Let h = b - -0.017. Suppose -1 - 2 = -3*q. What is the nearest to -0.8 in q, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91402*v**2 - 300*v**3 + 91402*v**2 + (-39*v**2 - 20*v**2 + 2*v**2)*(-1 - v + 1) to h + c*v**2 + n*v + r*v**3 and give r.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46144 and 22096?\nAnswer: 63724864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/20 - 2*n**4\/3 + 3*n**3\/2 + 9*n**2\/2 - 5*n. What is the units digit of o(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 3:20 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/78)\/((1386\/117)\/(-11))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26300 and 2256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-8\/9)\/(o**(-1)\/o*o)**(-6) assuming o is positive.\nAnswer: o**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417830 is divided by 3781?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1045 + -590. What is the highest common factor of 780 and n?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -48. Calculate the smallest common multiple of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c. Let w(j) = 4*j**2 - 15652*j - 1. Determine w(x(f)).\nAnswer: 196*f**2 - 109564*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4 - 5632*x**3 - 39500*x**2 - 62096*x - 28230 = 0.\nAnswer: -5, -1, 2823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 6) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13514147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863187.\nAnswer: 3, 13, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168.2 rounded to the nearest 10?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10057002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (585\/312)\/(((-6)\/4)\/1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) - 7\/((-105)\/4). Which is the nearest to v? (a) -0.5 (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11024887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7109 is divided by 765.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-17)\/(1309\/(-14))*(-77)\/84)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11416 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399582296?\nAnswer: 2, 49947787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 7*b**2 + 8*b - 3. Let m be l(6). Let w be -4 + 2 + -4 + m. Suppose s - 41 = 5*y + 39, -w*s + 2*y = -227. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -23013561?\nAnswer: 23013560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 22*y**4 - 5*y**2 + 25*y + 5. Let x(i) = -21*i**4 + 6*i**2 - 25*i - 6. Let m(h) = 6*t(h) + 5*x(h). Find the second derivative of m(l) wrt l.\nAnswer: 324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 + 23 - 2*f - 5*f**3 + 11*f**2 + 5*f**2 - 6*f**2. Let l be w(10). What is the first derivative of 6 + t**3 - 3*t**l - 14 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 814 - 267. List the prime factors of n.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-352)\/198*3\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*n - 304*n = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*m + 122*m - 38*m**2 - 81*m in the form v + n*m + f*m**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 1220 = 72*h - 2506. Solve 2*p = 4*o - 18, h = -o + 3*p + 63 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) - ((-1000626)\/(-9900) - 186\/775).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + y**3 + 0*y**3 + (-2 - 1 + 6)*(y**2 - y**2 - 3*y**3) - 239*y**3 + 127*y**3 + 47*y**3 - 3*y**3 + y**3 + y**3.\nAnswer: -77*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.04?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -3*x - 1, 5*x - 12 = -2*l. Let y be (4\/3 - l)*6. Let h be 7\/(98\/8) + 112\/(-196). Solve 4*b - 5*v + 29 = 0, -4*b + 6 = -h*b + y*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70114 (base 15) to base 16.\nAnswer: 5693b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/8 and -179\/145738488.\nAnswer: 145738488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649 divided by -2.\nAnswer: -649\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -77.732 and -5.\nAnswer: -82.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxtcmg. Give prob of sequence mcgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 560*w**3 - 138*w**3 - 137*w**3 - 143*w**3 + 13 - 82*w - 140*w**3 to i*w**2 + r*w + s*w**3 + y and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -14 - (-31 + -4 - 7 - 28)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i**3 - 58*i**2 + 34*i - 501. Let y(a) = 7*a**3 - 12*a**2 + 7*a - 100. Calculate -29*y(h) + 6*z(h).\nAnswer: 7*h**3 + h - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.541 + -0.441. Let i = 39 - k. Let l = -33 - -33.1. Is i less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*q + 651 = 0, -3*q + 9 = -0*q. List the prime factors of b.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 + 2)*(o**4 - 2 + 0 + 0) + 0*o**4 - 2*o**4 + 0*o**4 as m*o**3 + u*o + t*o**2 + z + s*o**4 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n. Let o(a) be the third derivative of -a**4\/24 + a**3\/6 - 8*a**2. Let d(j) = 6*j - 7. Let v(g) = -3*d(g) - 21*o(g). What is f(v(y))?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -1, -289.\nAnswer: -289, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 83.1*4672\nAnswer: 388243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 104?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 1 + 1 + (1 - 1 - 2*y)*(3*y + 3*y - 4*y) - 3*y**2 - 1 + 1 + 3*y**2 - 3*y**2 + 2*y**2 - 16*y**2 - 8*y**2 + 10*y**2)*(y - 4*y - y).\nAnswer: 84*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 4*c**2 + 2*c - 4. Calculate r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25175*y - 931460. Give w(37).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 5\/27892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + v = 7, -v - 14 = -g + 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 10*t)*((-1 - 4 - 1)*(-15*t**2 - 22*t**2 + 11*t**2) + (2*t - t - 2*t)*(-6*t + 2*t + 2*t)).\nAnswer: 948*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + sqrt(396)*-2)*5.\nAnswer: -60*sqrt(11) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 29 = 33*r. Solve -r*h + 24 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 w when four letters picked without replacement from jjsjjssossowsjjwwsj.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38609 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(80\/8)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -9\/4, -5, 3\/22, 3, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -261, -141, 109, 537?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from qfaiikiqmmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4747b (base 14) to base 2.\nAnswer: -101010011011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t - 15*t + 16*t + (2 + 2 - 2)*(2*t - 3*t + 2*t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/(t\/t**(7\/4)))*t*t)*t)\/t)\/(t**(3\/4)\/t))\/(t**10*t**5) assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 + 11 + l - 18 + l + 0*l.\nAnswer: 2*l + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*m**3 - 1321*m**3 + 946*m**3.\nAnswer: 520*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 626 + -624. What is the hundreds digit of a - -700*(7 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 m when three letters picked without replacement from {t: 10, m: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -y - 2*j - 1, j = 4*y + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24594 + 54576 = 2*a + y, 4*a = 2*y + 158356. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269630, 269628, 269626, 269624, 269622, 269620?\nAnswer: 269618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 48*b + 480. Let r be g(14). Solve o = -r*a - 2*o - 23, 3*a = o - 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110779 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1181713, -2363427, -3545141, -4726855, -5908569?\nAnswer: -7090283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/13 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.291 - 11.2909993681. Round s to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - 2*v + 0*v - 8*v to q*v + n and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dujzdu. What is prob of sequence ud?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/65752 and -54\/12829859.\nAnswer: 102638872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/7 (b) -6\/17 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 2, a: 15}. Give prob of sequence ama.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 912 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((8 - -2) + -7 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236653 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(120\/180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 21*t**3 - 10*t**2 - 12*t - 7. Let o be j(-8). Let i = 20080 + o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**2 + 2*j - 2*j + (-1 - 1 - 5)*(-3*j**2 + 0 + 0).\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63\/6*6\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 623 - 2286. Let n = m + 2463. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402\/(-335)*(-5)\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k - 1924 = 0. Suppose 887 = 12*z - k. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 5744\/(-4)) + -3. Let u = 2497 - b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:15 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 53*j - 373. Determine l(45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9030 = -4*p + v, -2*v - 6324 = -4*p + 2708. Does 61 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 109. Let j = h - -38. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*h + 48*h - 4510 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1369 + 280. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 141?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3612.91 + -3573. Let y = 40 - q. Let u = 0.39 - y. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -19. Are -5.3 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 10*w**3 + 18 - 3 - 19*w**3 - 5.\nAnswer: -29*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(320) + -1) + sqrt(320))*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3181 take away -5?\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*i = 6*f + 14, i - 17 = 5*f. Is f\/(-26) + -4 + 845586\/78 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/2 + 0 + 5. What is the closest to -2\/9 in j, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*41200\nAnswer: -123600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -15. Let b(q) = q**3 + 6*q**2 + 2*q + 8. Let y be b(d). Let g(o) = -5*o - 5. Is 14 a factor of g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -24. Suppose -2*d + 4*j = -18, d - 13 + 4 = -y*j. What is the remainder when d is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(68) + 1 + sqrt(68))**2 + 0.\nAnswer: -80*sqrt(17) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-313 + 197)\/(-18 - 2) - 2*1\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(5) + -2*sqrt(720) + -2 + (sqrt(320) + 0)**2)*5.\nAnswer: -115*sqrt(5) + 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*sqrt(2448) - (2*sqrt(153)*2)\/sqrt(9))*3*-5.\nAnswer: -480*sqrt(17) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205506895*b - 62934560?\nAnswer: -205506895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/14 + 197\/210. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716216816?\nAnswer: 2, 7, 2243, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + t**2 - t. Let k(s) = -4*s**4 - 48*s**3 - 1348*s**2 - s. Let v(g) = -i(g) + k(g). Find the third derivative of v(x) wrt x.\nAnswer: -96*x - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*r = -55, 3*r = 7*r + 4. Let q = k - -23. Solve -q*n + 5 = -5*f, -3 = 5*f - 2*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21.2 and 29.282.\nAnswer: 8.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5010655, 5010672, 5010689, 5010706?\n\"Answer: 17*s + 5010638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/2 (b) 6\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 2*y + 3. Suppose 35 = -5*v - j + 6*j, -4*v = 3*j - 7. Let l(z) = z**2 - z - 1. Give v*l(g) - s(g).\nAnswer: -5*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Let x(g) = -g**3 + 6*g**2 + 2*g - 7. Let r be x(z). Let q = -9 + r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1571 (base 10) to base 13\nAnswer: -93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 760*i + 162770. What is n(-214)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -140 - 4*q + 8*q - 105 + 0*q. Let m(c) = -7*c + 491. Let u(w) = 11*j(w) + 6*m(w). Is u(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29714620 by 5942924.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 8*t**2 + 8*t - 5. Let u be n(7). Let i = 198 - 198.19. Which is the closest to i? (a) -2 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l. Let h(v) be the third derivative of 0*v**3 + 0*v + l + 1\/24*v**4 + v**2. Let w(q) = q**2. Calculate w(h(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (28 - 4584\/(-1140))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, 3, 89, 5, 4 in increasing order.\nAnswer: 3, 4, 5, 89, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2324 and 9.92.\nAnswer: -2314.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/8))**47)**32*g*g*g\/(g**(-4)*g)*g*g*g**(-3)*((g**4*g)\/g)\/(g**(-5)*g) assuming g is positive.\nAnswer: g**1705","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/25112 and 41\/1892?\nAnswer: 276232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -128, 1, 177, -5, 0 in descending order.\nAnswer: 177, 1, 0, -4, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237618*l**3*r**3 + 4*l**3 - 374*l**2*r**2 - 24*l**2 + 3*l*r**3 - 5*r**2 wrt l?\nAnswer: 1425708*r**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -8*u**2 - 23*u**3 - 10 - 31\/6*u**4 + 0*u. Differentiate y(t) wrt t.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -26*y + 22*y - 41, -4*t - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 115\/8?\nAnswer: 115\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - -2 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -128*f**3 + 71682*f**2 - 3841120*f + 60000 = 0.\nAnswer: 1\/64, 60, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/8 - y**3\/8 + 5*y**2\/4 - y = 0. Calculate y.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**3 - t**3 + t**3)*(3*t - 5*t - 4*t)*(-1 + 3 + 3) in the form y*t**3 + d*t**4 + r*t**2 + c + b*t and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j + 74. Calculate u(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r + 154. Give q(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z - 40. Suppose 0*f - 35 = -3*i - f, 5*i = -5*f + 55. Let v be s(i). What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624086760 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15.821*15\nAnswer: 237.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0, 3\/4, 0.5, 0.33?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**3 - i**2 - 2*i - 2. Determine d(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 d when three letters picked without replacement from dnipa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*i - 20, 0 = -2*r - 3*i + 4 + 6. Let u = -4 + r. Put u, -5, 3 in increasing order.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 643 + -1239\/2. Find the common denominator of c and (0 + -1)*(-33)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)*s*s\/((s\/((s**(2\/9)\/s)\/s))\/s)*s*(s\/(s**0*s))\/s**(-2) assuming s is positive.\nAnswer: s**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2263\/41, 10, 3, -5, -3\/4.\nAnswer: -2263\/41, -5, -3\/4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1799.5 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - sqrt(2736)*4*1.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -600 and 3.\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 654, -3, 0 in decreasing order.\nAnswer: 654, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 2*r**2 - 2*r - 1. Let h = 26 - 46. Let o = 9 + h. Let v = -8 - o. Give l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, 2\/5, 5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 - 23207.3.\nAnswer: -23207.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3, -5*w + h = -2*h - 44. Suppose 9*y = w*y + 380. What are the prime factors of y?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**5 - 45*j**4\/4 - 40*j**3\/3 + 150*j**2 + 91. Factor u(p).\nAnswer: -5*p*(p - 2)*(p + 5)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -151.9387 and -13.\nAnswer: 1975.2031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 10. Let m(w) = -12*w + 42. Let g(l) = 5*m(l) + 21*p(l). Let i(b) = -36*b. Calculate g(i(h)).\nAnswer: -108*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-23)\/(-92)*27\/2 and -37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 41*v**2 - 154*v + 16. Calculate a(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -30, 0.\nAnswer: -30, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13908 and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7215 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 230, 1, 7, 3 in descending order.\nAnswer: 230, 7, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 3*b - 3*b)*(-1 - 3 + 5)*(-24 + 0 - 25) in the form j + w*b and give w.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19)*a)**(2\/15)*(a**(-4))**(-1\/3) assuming a is positive.\nAnswer: a**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3537513 to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8988260 is divided by 184.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1. Let q(c) = c - 3. Let o(m) = -4*i(m) + q(m). Let k = 6 - 8. What is o(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 17 - 2 - 3 + 3 + (-2 + 4 - 4)*(2 - 1 - 2))*(7 - 7 - 23*j)*(15*j**3 - 3*j**3 + 2*j**3).\nAnswer: -3220*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099 divided by -8550?\nAnswer: -1099\/8550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4776 = 2*v + 1310. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 3*b - 3. Give v(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*d + 3936 + 2042. Does 99 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -7*d**6\/30 + 5*d**4\/12 + 9*d. Find the third derivative of j(g) wrt g.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1105 and 1218061.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 v, and 1 c when four letters picked without replacement from lclvzlpillplvl?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/(-14)*392\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*p - 2*p + 17, 0 = -3*u - 15. Suppose -23 = y - 71. Let c = y - p. Calculate the highest common divisor of 75 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -7 - 14 + 3, -5*k - 9 = -4*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3708060 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, v: 9}. What is prob of picking 1 v and 1 l?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 48 = -3*n. What is the least common multiple of (8\/6 + -1)*33 and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + (sqrt(704) - (sqrt(704) + -2*sqrt(704))))*6)**2 + 4.\nAnswer: -41472*sqrt(11) + 3650836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819096 is divided by 80.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 552 + 680 = 0. What is the smallest common multiple of x and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j + 4*j + 0*j + 32 + 7*j. Is r(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = -a - 5, -a - 5 = -5*c. Let v = 0.03 - 3.03. What is the nearest to -2\/9 in v, a, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:54 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by 5020.\nAnswer: -43\/1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 12.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -732, 74, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187\/15 + 41\/3. Let f be (-34)\/24 + (-3)\/12. Which is the biggest value? (a) -2\/3 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.6 (b) 0.4 (c) -62.3 (d) 2 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-9))\/(8\/96). Sort -4, p, 4, -5 in increasing order.\nAnswer: p, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4942678923 to the nearest integer?\nAnswer: 70304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k - 72. Suppose 2*m = 3*b - k - 25, -4*m - 9 = b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*x**2 + 15*x**2 + 10*x**2 + 2 - 121*x in the form m*x**2 + o + n*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 m, and 1 q when three letters picked without replacement from {m: 2, f: 2, y: 1, r: 2, q: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185*k**2*v + k - 271*v - 2 wrt k?\nAnswer: -370*k*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -10 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o + 13. Let r(v) be the first derivative of -v**2 - 81. What is r(i(y))?\nAnswer: 10*y - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.4. Let u = 71 + -74.4. Let v = u - -3.4. What is the smallest value in 2, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*g**3 - 2809*g**2 + 2809*g**2.\nAnswer: -74*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 24*i + 5265. What is the highest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28208 > 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) 2\/9 (b) -3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-105772)\/336 + 3 + -1. Let z = o - -2224\/7. Let a = 42846307\/342 - 125282. What is the common denominator of a and z?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 11*y**2 - 3*y - 15. Let n be h(7). Let u = n - -253. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*1*sqrt(170))\/((sqrt(120) + (sqrt(120) - (-2*sqrt(120) + sqrt(120)) - sqrt(120))*-2)\/sqrt(12)).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6 and 34\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5019 - 5015. Solve 0 = -g - 3*s + 19, 0*s = -x*g + s + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r - 3*r + 3*r + 4*r to the form s*r + z and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/462 - 130\/(-42). Solve -4*l + 7 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 118*u + 20. Let f(o) = 114*o + 17. Determine -7*f(n) + 6*z(n).\nAnswer: -90*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -16 + (12 - (-1 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -2 - 1\/3*j**3 + 4*j - 1\/2*j**2. Let h(q) = -4*q**2 - 4*q + 17. Determine -9*c(a) + 2*h(a).\nAnswer: a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 634.1061 milliseconds?\nAnswer: 634106.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4051, 2\/667, 1\/47 in decreasing order.\nAnswer: 4051, 1\/47, 2\/667, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -30.7. Let l = -9 + 6. What is the third biggest value in -6, l, g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(1 - 1 - 3)*(-3 + 2 + 0)*(x + 8*x - x) to the form r*x + p and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-3)*m*m\/(m*m\/(m*m**(1\/4))))\/(m\/m**(2\/3))**(2\/57)*(m**1*m*m)**(-2)\/(m*m\/(m**(4\/5)\/m)*m**(-7)*m) assuming m is positive.\nAnswer: m**(-6709\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 478744 - -28?\nAnswer: 478773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(35)\/sqrt(7) + 1 + sqrt(5) + sqrt(10)\/(sqrt(12)\/sqrt(6)) + sqrt(5))**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 1, i: 11}. What is prob of picking 1 d and 1 i?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}